one month latoya rented movies and video games for a total of . the next month she rented movies and video games for a total of . find the rental cost for each movie and each video game.

Answers

Answer 1
Its 6 dollars trust me ik layota

Related Questions

find the area of the surface obtained by rotating the curve y=x−−√3y=x3 about yy-axis for 1≤y≤41≤y≤4.

Answers

Thus, the area of surface obtained by rotating the curve y=x−−√3y=x3 about the y-axis for 1≤y≤4 is 36π√3 square units.

To find the area of the surface obtained by rotating the curve y=x−−√3y=x3 about the y-axis for 1≤y≤4, we can use the formula:
A = 2π ∫(1 to 4) x √(1+(dy/dx)^2) dy

First, we need to find dy/dx by taking the derivative of y=x−−√3y=x3:

dy/dx = 1/(2√3x^(1/2))

Substituting this into the formula, we get:

A = 2π ∫(1 to 4) x √(1+1/(12x)) dy

Simplifying the expression under the square root, we get:

A = 2π ∫(1 to 4) x √(12x+1)/12 dy

We can simplify this expression further by using a substitution u = 12x+1:

A = π ∫(13 to 49) √u du

Integrating this, we get:

A = π (2/3)(u^(3/2))|(13 to 49)

A = π (2/3)(49√49-13√13)

A = 36π√3 square units

Therefore, the area of the surface obtained by rotating the curve y=x−−√3y=x3 about the y-axis for 1≤y≤4 is 36π√3 square units.

Know more about the derivative

https://brainly.com/question/28376218

#SPJ11

The following data shows the points scored by a basketball team during the first 13 games of the season.
{85, 94, 101, 118, 107, 110, 114, 96, 117, 105, 121, 88, 125}

Part A: Determine the best graphical representation to display the data. Explain why the type of graph you chose is an appropriate display for the data. (6 points)

Part B: Explain, in words, how to create the graphical display you chose in Part A. Be sure to include a title, axis label(s), scale for axis if needed, and a clear process of how to graph the data. (6 points)

Answers

Part A:

Best graphical representation to display data will be line graph.

Given,

Scores of basketball team during the first 13 games of the season

{85, 94, 101, 118, 107, 110, 114, 96, 117, 105, 121, 88, 125}.

Now,

The data of scores shows that the data is neither increasing constantly nor decreasing constantly.  The data also indicates that the scores of the team is varying.So for this type of data when  the scores are not constant and vary continuously the best way to represent will be through line graph.

Part B:

We can create line graph with a very simple technique.

Firstly,

On x - axis take the number of season the team has played. In our case the number is 13 so take 13 distinct points on the x - axis.

Secondly,

On y -axis take the scores of the team in each of the 13 seasons corresponding to their values at x - axis.

Then,

Plot the points on the graph for all 13 seasons .

Last step,

Join all the points in the graph with the help of ruler. This will form the required line graph of the question.

Know more about line graph,

https://brainly.com/question/31050175

#SPJ1

URGENT!! ANSWER GETS 100 POINTS AND BRAINLIEST The dot plots show the heights of boys and girls at a summer camp. Heights of Boys and Girls at Camp 2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60. Which is a true statement for most of the data in each plot?
Most of the data in each plot are greater than 48.
Most of the data in each plot are less than 48.
Most of the data in each plot are around 52.
Most of the data in each plot are around 54.

Answers

A true statement for most of the data in this plot is c. Most of the data in the Girl's Heights plot are around 52. Therefore, option c. Most of the data in the Girl's Heights plot are around 52 is correct.

For the Boy's Heights plot, we can see that the majority of the dots are above 48 and below 54, with the most dots being above 52. Therefore, a true statement for most of the data in this plot is:

Most of the data in the Boy's Heights plot are around 52.

For the Girl's Heights plot, we can see that the majority of the dots are also above 48 and below 54, with the most dots being above 52 as well. Therefore, a true statement for most of the data in this plot is:

Most of the data in the Girl's Heights plot are around 52.

So, the correct option is:

Most of the data in each plot are around 52.

for such more question on Heights

https://brainly.com/question/27987869

#SPJ11

write the value of each exspression
PLEASE HELP FAST
write the value of each exspression
2²/2 by the power of 5

A.8
B.6
C. 1/8
D.-8

Answers

Answer:

1/8

Step-by-step explanation:

2^2 / 2^5

2^2 = 2 x 2= 4

2^5 = 2 x 2 x 2 x 2 x 2 = 32

4/32 = 1/8

Note :

2 power 5 means you need to multiply 2, 5 times itself

(i.e) 2 x 2 x 2 x 2 x 2

find the maclaurin series of the function f(x)=(9x)arctan(5x2)f(x)=(9x)arctan(5x2).

Answers

The Maclaurin series expansion of f(x) is: f(x) = f(0) + f'(0)x + f''(0)x^2/2! + f'''(0)x^3/3! + ...

To find the coefficients of the series, we need to evaluate the derivatives of f(x) at x = 0. Let's find the first few derivatives:

f(x) = (9x)arctan(5x^2)

f'(x) = 9arctan(5x^2) + 18x^2/(1 + 25x^4)

f''(x) = 90x/(1 + 25x^4) - 90x^3(1 - 5x^4)/(1 + 25x^4)^2

f'''(x) = 90(1 - 25x^4)/(1 + 25x^4)^2 - 270x^2(1 - 5x^4)/(1 + 25x^4)^2 - 270x^4(1 - 5x^4)/(1 + 25x^4)^2 + 360x^6(1 - 5x^4)/(1 + 25x^4)^3

By evaluating these derivatives at x = 0, we can find the coefficients of the Maclaurin series expansion of f(x).

However, calculating the derivatives and evaluating them at x = 0 can be quite involved and require significant algebraic manipulation. Therefore, it is best to use computational software or tools to calculate the coefficients of the Maclaurin series expansion accurately.

Once we have the coefficients, we can express the Maclaurin series of f(x) by substituting the coefficients into the general formula.

The Maclaurin series expansion allows us to approximate the function f(x) for values of x close to 0, providing a polynomial representation of the function.

To know more about derivatives click here

brainly.com/question/26171158

#SPJ11

find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 8 −2 −4 1

Answers

The characteristic equation of the matrix is given by det(A-λI) = 0, where A is the given matrix and λ is the eigenvalue. Thus, for the matrix A = [8 -2; -4 1], the characteristic equation is:

|8-λ  -2|

|-4  1-λ| = (8-λ)(1-λ)+8 = λ^2 - 9λ + 16 = 0

Solving for λ, we get the eigenvalues λ1 = 1 and λ2 = 8. To find the eigenvectors associated with these eigenvalues, we solve the system of linear equations (A - λI)x = 0.

For λ1 = 1, we get:

|7 -2| |x1|   |0|

|-4  0| |x2| = |0|

Solving the system, we get x1 = 2x2/7, so a basis for the eigenspace corresponding to λ1 is given by {[2/7, 1]}.

For λ2 = 8, we get:

|0 -2| |x1|   |0|

|-4 -7| |x2| = |0|

Solving the system, we get x1 = -x2/4, so a basis for the eigenspace corresponding to λ2 is given by {[-2, 4]}.

Learn more about characteristic equation here: brainly.com/question/31992356

#SPJ11

Unit 5: systems of equations and inequalities Homework 3: Solving systems by elimination (All Things Algebra®, LLC)
Questions: 11 & 12

11: 3x + 2y= -26
4x - 5y= -4

12: 4x + 3y= -1
5x + 4y= 1

Answers

The required solution to the system of equations in Question 11 is x = -6 and y = -4, and in Question 12 is x = -7 and y = 9.

11:

3x + 2y = -26

4x - 5y = -4

To eliminate one variable, we can multiply the first equation by 4 and the second equation by 3, so the coefficients of x will be the same:

12x + 8y = -104 (Multiplying the first equation by 4)

12x - 15y = -12 (Multiplying the second equation by 3)

Now, subtract the second equation from the first equation to eliminate x:

(12x + 8y) - (12x - 15y) = -104 - (-12)

12x + 8y - 12x + 15y = -104 + 12

y = -4

Now, substitute the value of y back into one of the original equations, let's use the first equation:

3x + 2(-4) = -26

3x = -18

x = -6

Therefore, the solution to the system of equations in Question 11 is x = -6 and y = -4.

Similarly,

The solution to the system of equations in Question 12 is x = -7 and y = 9.

Learn more about the system of equations here:

https://brainly.com/question/20067450

#SPJ1

A quadrilateral ABCD is enlarged to give A'B'C'D'.

A is at (3, -1) and A' is at (11,-5).

B is at (3,6) and B' is at (6,8).

What are the coordinates of the centre of enlargement?

Answers

To find the center of enlargement, we need to determine the scale factor of enlargement between the original quadrilateral ABCD and the image quadrilateral A'B'C'D'.

We can do this by finding the ratio of the corresponding side lengths. Let the scale factor be k. Then,

AB' = k * AB

and

AA' = k * AA'

Using the distance formula, we can find the lengths of AB and AA',

AB = sqrt((6-(-1))^2 + (3-3)^2) = sqrt(50)

AA' = sqrt((11-3)^2 + (-5-(-1))^2) = sqrt(80)

Thus, k = AB' / AB = AA' / AA' = sqrt(80 / 50) = sqrt(8 / 5) = 1.7889 (approx)

Next, we can use the formula for the center of enlargement, which states that the center of enlargement is the point of intersection of the corresponding lines joining the original and the image points.

The line joining A(3,-1) and A'(11,-5) has the equation y = -x/2 + 5/2

The line joining B(3,6) and B'(6,8) has the equation y = (2/3)x + 6

\

Solving for the point of intersection, we get:

x/2 + 5/2 = (2/3)x + 6

=> x = 21.6

Substituting x in either of the equations, we get:

y = -x/2 + 5/2

=> y = -21.6/2 + 5/2

=> y = -5.55 (approx)

Therefore, the center of enlargement is approximately (21.6, -5.55).

To Learn more about quadrilateral click here:

brainly.com/question/3159955

#SPJ11

To find the center of enlargement, we need to determine the scale factor of enlargement between the original quadrilateral ABCD and the image quadrilateral A'B'C'D'.

We can do this by finding the ratio of the corresponding side lengths. Let the scale factor be k. Then,

AB' = k * AB

and

AA' = k * AA'

Using the distance formula, we can find the lengths of AB and AA',

AB = sqrt((6-(-1))^2 + (3-3)^2) = sqrt(50)

AA' = sqrt((11-3)^2 + (-5-(-1))^2) = sqrt(80)

Thus, k = AB' / AB = AA' / AA' = sqrt(80 / 50) = sqrt(8 / 5) = 1.7889 (approx)

Next, we can use the formula for the center of enlargement, which states that the center of enlargement is the point of intersection of the corresponding lines joining the original and the image points.

The line joining A(3,-1) and A'(11,-5) has the equation y = -x/2 + 5/2

The line joining B(3,6) and B'(6,8) has the equation y = (2/3)x + 6

\

Solving for the point of intersection, we get:

x/2 + 5/2 = (2/3)x + 6

=> x = 21.6

Substituting x in either of the equations, we get:

y = -x/2 + 5/2

=> y = -21.6/2 + 5/2

=> y = -5.55 (approx)

Therefore, the center of enlargement is approximately (21.6, -5.55).

To Learn more about quadrilateral click here:

brainly.com/question/3159955

#SPJ11

Find the measure of the line segment CD. Assume that lines which appear tangent are tangent.


Answers

The value of the measure of the line segment CD is,

⇒ CD = 10

We have to given that;

In circle,

CD = 2 + x

BC = 8

AB = 12

Hence, We can formulate;

AB² = BD × CD

12² = (8 + 2 + x) × 8

144 = 8 (10 + x)

18 = 10 + x

x = 18 - 10

x = 8

Thus, The value of the measure of the line segment CD is,

⇒ CD = 2 + x = 2 + 8 = 10

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ1

the event that consists of all outcomes that are contained in one event or a second event is the: a. complement b. intersection c. union d. condition

Answers

The combination of two events consisting of all outcomes that are contained in one event or a second event is:

The Union

The correct option is (c)

The union sets are the sets containing all elements that are in A or in B (possibly both). We write the (A ∪ B)

The event A occurs the outcome is contained in A. For any two events A and B, we define the new event A ∪ B, called the union of events A and B. It also says that: The combination of two events consisting of all outcomes that are contained in one event or a second event is: The Union

Learn more about Events at:

https://brainly.com/question/10347093

#SPJ4

The given question is incomplete, complete question is:

The combination of two events consisting of all outcomes that are contained in one event or a second event is :

a. complement b. intersection c. union d. condition

find a basis for and the dimension of the subspace w of r4. w = {(s 4t, t, s, 5s − t): s and t are real numbers}

Answers

To find a basis for the subspace dimension w of R4, we need to find a set of linearly independent vectors that span w.

First, we can rewrite the given condition for w as follows:

w = {(s, 0, 0, 5s) + (0, 4t, 0, -t) + (0, 0, s, 0) + (0, 0, 0, -t) : s, t are real numbers}

Notice that each term in the above expression corresponds to one of the four standard basis vectors in R4. Therefore, the subspace w can be expressed as the span of the following four vectors:

v1 = (1, 0, 0, 5)
v2 = (0, 4, 0, -1)
v3 = (0, 0, 1, 0)
v4 = (0, 0, 0, -1)

To show that these vectors form a basis for w, we need to show that they are linearly independent and that they span w.

To show linear independence, suppose that a linear combination of these vectors is equal to the zero vector:

c1 v1 + c2 v2 + c3 v3 + c4 v4 = (0, 0, 0, 0)

Then we have the following system of equations:

c1 = 0
4c2 = 0
c3 = 0
5c1 - c2 = 0

Solving for the coefficients, we get c1 = c2 = c3 = c4 = 0, which shows that the vectors are linearly independent.

To show that they span w, we need to show that any vector in w can be expressed as a linear combination of these vectors. Let (s, 4t, s, 5s - t) be an arbitrary vector in w. Then we can write:

(s, 4t, s, 5s - t) = (s, 0, 0, 5s) + (0, 4t, 0, -t) + (0, 0, s, 0) + (0, 0, 0, -t)

which is a linear combination of the vectors v1, v2, v3, and v4. Therefore, these vectors span w.

Since we have found a set of four linearly independent vectors that span w, we can conclude that they form a basis for w. Thus, the dimension of the subspace w is 4.

Learn more about dimension here : brainly.com/question/28688567

#SPJ11

if you randomly selected 6 people in this area who do not have a high school degree, what is the probability that at least one of them smokes daily?

Answers

The chance that a randomly selected defective component was made by Alice is approximately 0.33 or 33%.

a. The probability of a randomly selected individual being a male who smokes is 19/100 or 0.19.

b. The probability of a randomly selected individual being a male is 0.6.

c. The probability of a randomly selected individual smoking is (19+12)/100 or 0.31.

d. The probability that a randomly selected female is a smoker is 12/40 or 0.3.

e. The probability that a randomly selected smoker is male is 19/(19+12) or 0.61.

To find the chance that a randomly selected defective component was made by Alice, we can use Bayes' Theorem.

Let A, B, and C represent the events that a component is made by Alice, Betty, and Cleo respectively, and let D represent the event that a component is defective.

We want to find P(A|D), the probability that the defective component was made by Alice. Using Bayes' Theorem, we have:

P(A|D) = P(D|A) * P(A) / [P(D|A) * P(A) + P(D|B) * P(B) + P(D|C) * P(C)]

We know that P(A) = P(B) = P(C) = 1/3, P(D|A) = 0.05, P(D|B) = 0.03, and P(D|C) = 0.02. Substituting these values, we get:

P(A|D) = 0.05 * (1/3) / [0.05 * (1/3) + 0.03 * (1/3) + 0.02 * (1/3)]

       = 0.333 or approximately 0.33

Therefore, the chance that a randomly selected defective component was made by Alice is approximately 0.33 or 33%.

To learn more about probability  click here

brainly.com/question/30034780

#SPJ11

Complete Question:

             Yes No Total

Male 19 41 60

Female 12 28 40

Total 31 69 100

a. What is the probability of a randomly selected individual being a male who smokes (or male and smoker)?

b. What is the probability of a randomly selected individual being a male?

c. What is the probability of a randomly selected individual smoking?

d. A person is selected at random and if the person is female, what is the probability that she is a smoker?

e. What is the probability that a randomly selected smoker is male?

A manufacturing firm has three machine operators; Alice, Betty, and Cleo. The operators produce a component. Alice has a 5% defective rate, Betty a 3% defective rate, and Cleo a 2% defective rate. The three operators produce equal numbers of components. Suppose a randomly selected component is found to be defective. What is the chance it was made by Alice?

(07.01, 07.02 MC)

An expression is shown below:

6x2y − 3xy − 24xy2 + 12y2

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

A: The expression is 3y(2x² - x - 8xy + 4y).

B: Completely factorized expression is 3y{x(2x - 1-8y) + 4y}.

Part A: To factor out the greatest common factor (GCF), we need to find the highest power of each variable that appears in all terms. In this expression, the variables are x and y.

The GCF of the coefficients is 3, and the GCF of the variables is xy.

Factoring out the GCF, we get:

3y(2x² - x - 8xy + 4y)

Part B: To factor the entire expression completely, we look for common factors among the terms and apply factoring techniques.

The given expression is:

6x²y − 3xy − 24xy² + 12y²

First, let's factor out the GCF of the coefficients, which is 3:

3y(2x² - x - 8xy + 4y)

Factor out x from the common terms,

3y{x(2x - 1-8y) + 4y}

To learn more about the factorization;

https://brainly.com/question/28187946

#SPJ1

We ordered 7 pizzas for the 5th grade. Mrs. J. Craig's Class ate 2 1/2 pizzas, Mrs. Thompson's class ate 1 1/3 pizzas, and Ms. N. Craig's class ate 2 2/3 pizzas. How much pizza will be left for the other 3 classes?

Answers

The amount of pizza left for the other three classes is 1/2.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

The total number of pizzas ordered is 7.

The total number of pizzas eaten by the three classes is:

2 1/2 + 1 1/3 + 2 2/3

= (5/2) + (4/3) + (8/3)

= 15/6 + 8/6 + 16/6

= 39/6

= 6 3/6

= 6 1/2

Therefore, the amount of pizza left for the other three classes is:

7 - 6 1/2 = 1/2

So, there is half of a pizza left for the other three classes.

To learn more about the equivalent expression visit:

https://brainly.com/question/2972832

#SPJ4

for which data set would the median be the best measure of center? a.) 99, 95, 93, 90, 88, 92, 87, 91 b.) 67, 72, 75, 74, 68, 69, 70, 65 c.) 80, 83, 87, 84, 79, 81, 80, 77 d.) 93, 95, 88, 38, 79, 85, 88, 90

Answers

The data set for which the median would be the best measure of center is (b) 67, 72, 75, 74, 68, 69, 70, 65. This is because the data set has no extreme values or outliers, and the values are relatively evenly distributed around the middle.

Therefore, the median, which is the middle value when the data is arranged in order, would accurately represent the typical value in this set.

The median would be the best measure of center for data set d.) 93, 95, 88, 38, 79, 85, 88, 90. This is because the median is less sensitive to extreme values (such as 38 in this case) compared to the mean, and it provides a more accurate representation of the central tendency of the data set.

Visit here to learn more about median brainly.com/question/28060453
#SPJ11

Find the length of the third side.if necessary, round to the nearest tenth

Answers

Step-by-step explanation:

14^2 + 8^2 = 260

third side=√260 = 16.12 ~ 16

Let a_n be the number obtained by writing the integers 1 to n from left to right. Therefore, a_4 = 1234 and a_12 = 123456789101112. For 1≤n≤100, how many a_n are divisible by 9?

Answers

The answer is 33.

A number is divisible by 9 if and only if the sum of its digits is divisible by 9. We can use this fact to count the number of a_n that are divisible by 9.

For any n, the sum of the digits in a_n is given by:

S_n = 1 + 2 + 3 + ... + n

This is the sum of an arithmetic sequence, which can be computed using the formula:

S_n = n(n+1)/2

Therefore, the sum of the digits in a_n is:

S_n = n(n+1)/2

We want to find the values of n for which S_n is divisible by 9. Since 9 is a factor of 3, we only need to consider the cases where n(n+1) is divisible by 3.

Case 1: n is divisible by 3

In this case, either n or (n+1) is divisible by 3. Therefore, S_n is divisible by 3, and hence by 9.

Case 2: n is not divisible by 3

In this case, neither n nor (n+1) is divisible by 3. Therefore, S_n is not divisible by 3.

Therefore, the only values of n for which S_n is divisible by 9 are those that are divisible by 3. There are 33 such values of n between 1 and 100 (namely, 3, 6, 9, ..., 99), so the answer is 33.

Learn more about :

sum of an arithmetic sequence : brainly.com/question/30247962

#SPJ11

when demand is , increases in price result in increases in total revenues, while decreases in price result in decreases in total revenue.group of answer choiceselasticcross-elasticflexibleinelastic

Answers

The answer is "inelastic". When demand is inelastic, changes in price do not significantly affect the quantity of goods or services demanded.

This means that increases in price result in increases in total revenue, while decreases in price result in decreases in total revenue. Inelastic demand occurs when consumers are not very responsive to changes in price and do not have good alternatives to the product or service being offered. Examples of products with inelastic demand are necessities like food, medicine, and gasoline, where consumers will continue to purchase the product regardless of price changes because they need it for daily living. On the other hand, products with elastic demand, like luxury items or non-essential goods, will see a significant decrease in demand when prices increase.

To learn more about price click here: brainly.com/question/19091385

#SPJ11

If n = 600 and ˆ p p ^ (p-hat) = 0.85, construct a 99% confidence interval. Give your answers to three decimals

Answers

A 99% confidence interval needs to be constructed using the sample proportion and sample size. The given information includes n = 600 and ˆp = 0.85.

To construct the confidence interval, first calculate the standard error using the formula:

SE = sqrt [ (p-hat * (1 - p-hat)) / n ]

Substituting the given values, we get:

SE = sqrt [ (0.85 * (1 - 0.85)) / 600 ] = 0.0203 (rounded to four decimal places)

Next, calculate the margin of error using the formula:

ME = z* (SE)

Here, for a 99% confidence interval, z* = 2.576 (from the standard normal distribution table).

Substituting the values, we get:

ME = 2.576 * (0.0203) = 0.0523 (rounded to four decimal places)

Finally, the confidence interval can be calculated as:

ˆp ± ME

Substituting the given values, we get:

0.85 ± 0.0523 = (0.7977, 0.9023)

Therefore, the 99% confidence interval for the population proportion is (0.7977, 0.9023). This means we are 99% confident that the true population proportion falls between 0.7977 and 0.9023

Learn more about Confidence Interval here: brainly.com/question/31420373

#SPJ11.

Find and simplify the function values.f(x,y) = 4 - x2 - 4y2(a) (0,0) (b) (0,1) (c) (2,3) (d) (1,y) (e) (x, 0) (f)(t,1)

Answers

The given f(x,y) is to be evaluated at 6 different points. At (0,0), the  f(x,y) is 4, at (0,1)=  -1, (2,3)= -37. When evaluated at (1,y), the  f(x,y) simplifies to f(1,y) = 3 - 4y^2,  at (x,0), the  f(x,y) simplifies to f(x,0) = 4 - x^2. Finally, when evaluated at (t,1), the  f(x,y) simplifies to f(t,1) = 3 - t^2 - 4.

Explanation:

To evaluate the function f(x,y) = 4 - x^2 - 4y^2 at point (0,0), we simply substitute x=0 and y=0 in the function. Thus, f(0,0) = 4 - 0^2 - 4(0)^2 = 4.

Similarly, to evaluate the function at point (0,1), we substitute x=0 and y=1 in the function. Thus, f(0,1) = 4 - 0^2 - 4(1)^2 = -1.

To evaluate the function at point (2,3), we substitute x=2 and y=3 in the function. Thus, f(2,3) = 4 - (2)^2 - 4(3)^2 = -37.

When we substitute x=1 in the function f(x,y), we get f(1,y) = 4 - 1^2 - 4y^2 = 3 - 4y^2. Hence, the function simplifies to f(1,y) = 3 - 4y^2 when evaluated at point (1,y).

Similarly, when we substitute y=0 in the function f(x,y), we get f(x,0) = 4 - x^2. Hence, the function simplifies to f(x,0) = 4 - x^2 when evaluated at point (x,0).

Finally, when we substitute y=1 in the function f(x,y), we get f(t,1) = 4 - t^2 - 4(1)^2 = 3 - t^2 - 4. Hence, the function simplifies to f(t,1) = 3 - t^2 - 4 when evaluated at point (t,1).

Therefore, the function values at the given points are 4, -1, -37, 3 - 4y^2, 4 - x^2, and 3 - t^2 - 4 for points (0,0), (0,1), (2,3), (1,y), (x,0), and (t,1), respectively.

To learn more about f(x,y) click here, brainly.com/question/31287022

#SPJ11

PLEASE HELP!!! can someone solve this logarithmic equation for the value of the variable? Be sure to check for extraneous solutions. Thanks!

Answers

The solution of the logarithmic equation is x = 2.

Given is a logarithmic equation ㏒ x + ㏒ (x+2) = ㏒ 8, we need to solve for x,

So,

The logarithmic equation is ㏒ x + ㏒ (x+2) = ㏒ 8,

Applying the log rule we get,

x(x+2) = 8

x²+2x = 8

x² + 2x - 8 = 0,

Solving for x,

x = 2 and x = -4,

Checking for extraneous solutions.

Verify solution x = 2 [true]

x = -4 [false]

Hence the solution of the logarithmic equation is x = 2.

Learn more about logarithmic equation click;

https://brainly.com/question/29197804

#SPJ1

Find the length of the arc shown in red.

Answers

The length of the arc shown in red is 5π/4 metre

To find the length of the arc, we need to find the circumference of the circle, which we find with the following formula :

C = 2πr

where r  is the radius which is indicated in the image: .

so the circumference  is:

C = 2π(3)

C = 6π

This is the measure of the entire perimeter of the circle, it is the measure of the 360 ° arc.

Because we only want 30° of that 360 °, we divide the value of the circumference by 360 and multiply po 45:

30/360=0.125 of full circle,

L(arc)=0.125L=5π/4

The length of the arc is 5π/4 m

Learn more about circle here;

brainly.com/question/12512221

#SPJ1

Find the Sum of the Series∑n=0[infinity](−1)nπ2n62n(2n)!

Answers

We can use the Maclaurin series expansion of sin(x) and plug in π/2 to get: sum

sin(π/2) = ∑n=0^[infinity] (-1)^n (π/2)^(2n+1)/(2n+1)!

Simplifying the right-hand side:

sin(π/2) = π/2 - π^3/2! + π^5/4! - π^7/6! + ...

Multiplying both sides by π/2 and rearranging:

π^2/4 = π/2 - π^3/3! + π^5/5! - π^7/7! + ...

Now, we can use the Maclaurin series expansion of cos(x) and plug in 0 to get:

cos(0) = ∑n=0^[infinity] (-1)^n x^(2n)/(2n)!

Simplifying the right-hand side:

cos(0) = 1 - x^2/2! + x^4/4! - x^6/6! + ...

Multiplying both sides by x^2/2 and rearranging:

π^2/8 = π^2/4 - π^4/4! + π^6/6! - π^8/8! + ...

Now we can substitute these series expansions into the original sum and simplify:

∑n=0^[infinity] (-1)^n π^2n/(6^2n (2n)!)

= π^2/2 - π^4/4! + π^6/6! - π^8/8! + ...

= 2π^2/4 - π^4/4! + π^6/6! - π^8/8! + ...

= (2π^2 - π^4/3! + π^6/5! - π^8/7! + ...) / 4

= (2π^2 - π^4/6 + π^6/120 - π^8/5040 + ...) / 4

So the sum of the series is (2π^2 - π^4/6 + π^6/120 - π^8/5040 + ...) / 4.

Learn more about sum here : brainly.com/question/13013054

#SPJ11

Triangle STU has the following measures:
s=8.4, t=6.9, and m∠S=58 degrees. What is the length of side u?

Answers

The length of side u in triangle STU i s approximately 6.34 units.

Length calculation.

Triangle STU measures: s=8.4, t=6.9, and m∠S=58 degrees

In order to find the length u, we will use the law of cosines .

u² = s²+ t² -2stcos(m∠s)

where m∠s is the measure of angles in degrees.

u² = s²+ t² -2stcos(m∠s)

u² =8.4² +6.9² -2(8.4*6.9cos 58

u² = 118.17 -77.95

u² = 40.22

Taking the square root both sides, we get.

u = 6.34

Therefore, the length of side u in triangle STU i s approximately 6.34 units.

Learn more about length below.

https://brainly.com/question/24778489

#SPJ1

Answer:

  u ≈ 9.7 units

Step-by-step explanation:

You want side u in triangle STU with s = 8.4, t = 6.9 and S = 58°.

Law of sines

We are given two sides and the angle opposite the larger of them. This means the triangle can be solved using the law of sines, and there will be one solution.

  s/sin(S) = t/sin(T) = u/sin(U)

Angles

With the given values, we can find angle T to be ...

  T = arcsin(t/s·sin(S))

  T = arcsin(6.9/8.4·sin(58°)) ≈ 44.156°

Then angle U will be ...

  180° -58° -44.156° = 77.844°

Side

Using the same law of sines relation, we find side u to be ...

  u = s·sin(U)/sin(S)

  u = 8.4·sin(77.844°)/sin(58°) ≈ 9.683

The length of side u is about 9.7 units.

#95141404393

the contingency table below shows the blood types of a sample of people cross classified by sex. what percentage of the men in the sample have blood type o?

Answers

The percentage of the men in the sample who have blood type O is 40.38%.

What is the percentage?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The acronyms pct., pct., and occasionally pc are also used to indicate it, however, the percent sign is most frequently used. A % is a number without dimensions and without a standard measurement.

Here, we have

Given: The contingency table below shows the blood types of a sample of people cross-classified by sex.

We have to find the percentage of the men in the sample who have blood type o.

Total number of males = 104

Number of males who has blood type O = 42

Percentage of the males in the sample have blood type O:

= (42×100%)/104

= 40.38%

Hence, the percentage of the men in the sample who have blood type O is 40.38%.

To learn more about the percentage from the given link

https://brainly.com/question/843074

#SPJ4

find all the extreme points and extreme directions of the following polyhedral set: s = { (xi,x2) : 2xi 4x22 4, ~i x2 <4 xiz0.x20

Answers

Thus, the extreme points of s are (0,0), (2,2), (2,0), and (0,2), and the extreme directions are [2 -4], [-1 1], [0 1], and [0 -1].

To find the extreme points and extreme directions of the polyhedral set s, we need to first write down the set in standard form. We can rewrite the constraints as:

2x1 - 4x2 <= -4
-x1 + x2 <= 2
x2 <= 4
x2 >= 0

The first two constraints can be written as a matrix inequality:
[2 -4; -1 1][x1; x2] <= [4; 2]

The last two constraints can be written as x2 <= 4 and x2 >= 0. Thus, the polyhedral set s can be written as:
s = {x in R^2 : [2 -4; -1 1][x1; x2] <= [4; 2], x2 <= 4, x2 >= 0}

To find the extreme points, we can solve the linear program:

maximize 0x1 + 0x2
subject to [2 -4; -1 1][x1; x2] <= [4; 2]
x2 <= 4
x2 >= 0

The objective function is just 0x1 + 0x2, so it doesn't matter what the values of x1 and x2 are. The constraints, however, determine the feasible region. The intersection of the constraints is a polygon with vertices at (0,0), (2,2), (2,0), and (0,2). These are the extreme points of s.

To find the extreme directions, we need to look at the gradients of the constraints at each extreme point. If the gradient is non-zero, then that constraint is active at that point and the corresponding direction is extreme. The gradients of the constraints are:

[2 -4] for the first constraint
[-1 1] for the second constraint
[0 1] for the third constraint
[0 -1] for the fourth constraint

At the point (0,0), the first two constraints are active and their gradients are non-zero. Thus, the extreme directions are along [2 -4] and [-1 1].

At the point (2,2), the first two constraints and the third constraint are active. The gradients of the first two constraints are non-zero, as before, and the gradient of the third constraint is [0 1]. Thus, the extreme directions are along [2 -4], [-1 1], and [0 1].

At the point (2,0), the first two constraints and the fourth constraint are active. The gradients of the first two constraints are non-zero, and the gradient of the fourth constraint is [0 -1]. Thus, the extreme directions are along [2 -4], [-1 1], and [0 -1].

At the point (0,2), the second constraint and the third constraint are active. The gradient of the second constraint is non-zero, as before, and the gradient of the third constraint is [0 1]. Thus, the extreme directions are along [-1 1] and [0 1].

Therefore, the extreme points of s are (0,0), (2,2), (2,0), and (0,2), and the extreme directions are [2 -4], [-1 1], [0 1], and [0 -1].

Know more about the polyhedral set

https://brainly.com/question/30230773

#SPJ11

which coordinate axes are the following cylinders in r ^ 3 parallel? x ^ 2 5z ^ 2 = 8; x ^ 2 5y ^ 2 = 8; z ^ 2 5y ^ 2 = 8

Answers

The cylinder x^2 + 5z^2 = 8 is parallel to the y-axis.
- The cylinder x^2 + 5y^2 = 8 is parallel to the z-axis.
- The cylinder z^2 + 5y^2 = 8 is parallel to the x-axis.

Let's analyze each given cylinder equation and determine which coordinate axes they are parallel to in ℝ³:

1. x^2 + 5z^2 = 8:
This cylinder is parallel to the y-axis because the equation does not involve the y-coordinate. The equation is in the form x^2 + cz^2 = k, where c and k are constants.

2. x^2 + 5y^2 = 8:
This cylinder is parallel to the z-axis because the equation does not involve the z-coordinate. The equation is in the form x^2 + cy^2 = k, where c and k are constants.

3. z^2 + 5y^2 = 8:
This cylinder is parallel to the x-axis because the equation does not involve the x-coordinate. The equation is in the form cz^2 + cy^2 = k, where c and k are constants.

to learn more about cylinder equation click here:

brainly.com/question/7930384

#SPJ11

the sections of a spinner are shaded red, blue, or green. out of 24 spins, how many times will the spinner land on blue or green?

Answers

To determine how many times the spinner will land on blue or green, we need to know the number of sections that are shaded blue or green.

Let's assume the spinner has 8 sections in total, with 3 sections shaded blue, 4 sections shaded green, and the remaining sections shaded red.

Out of 24 spins, the probability of landing on blue or green can be calculated as the sum of the individual probabilities. The probability of landing on blue is 3/8, and the probability of landing on green is 4/8 (since there are 4 green sections out of 8 in total).

Therefore, the expected number of times the spinner will land on blue or green in 24 spins is:

(3/8 + 4/8) * 24 = (7/8) * 24 = 21.

So, the spinner is expected to land on blue or green approximately 21 times out of the 24 spins.

To learn more about Probability - brainly.com/question/32004014

#SPJ11

A right triangle has a base of 24 cm and a height of 16 cm. What is the approximate perimeter of the triangle?

Answers

Answer:                69 cm

To find the perimeter of the triangle, add together the length of all sides.

A right triangle has three sides and we know that:

The base is 24 cm.The height is 16 cm.The third side, the hypotenuse, is unknown.

Pythagorean Theorem

When we know two sides in a right triangle, we can find the third side using the Pythagorean theorem:

a² + b² = c²

The variables 'a' and 'b' represent the base and height. The variable 'c' represents the hypotenuse, the longest side.

Since we know the base and height, substitute them into the formula and solve for the hypotenuse.

a² + b² = c²                Start with the Pythagorean theorem.

24² + 16² = c²            Substitute the base and height.

576 + 16² = c²            Solve 24².

576 + 256 = c²          Solve 16².

832 = c²                     Add.

Now, let's start to isolate 'c', which means making it alone on one side of the equal sign.

√832 = √c²               Square root both sides.

√832 = c                   Square root is the opposite of ², so it cancels out.

c ≈ 28.8...                  Keep the variable on the left side.

The question says to find the approximate perimeter, so let's round 28.8 to the nearest whole number.

The hypotenuse, 'c', is about 29 cm.

Now, we know the three sides:

The base is 24 cm.The height is 16 cm.The hypotenuse is about 29 cm.

Perimeter is the sum of all sides

Add together all three sides.

Perimeter = base + height + hypotenuse

Perimeter = 24 cm + 16 cm + 29 cm

Perimeter = 69 cm

∴ The perimeter of the right triangle is approximately 69 cm.

To learn more about the Pythagorean theorem, check out:

https://brainly.com/question/28981380

Can someone answer check for me I think I did it correctly

Answers

Answer:

its correct

Step-by-step explanation:good job

Other Questions
the board of directors of capstone inc. declared a $0.80 per share cash dividend on its $2 par common stock. on the date of declaration, there were 54,000 shares authorized, 18,000 shares issued, and 4,000 shares held as treasury stock. what is the entry when the dividends are declared? a. dividends 11,200 dividends payable 11,200 b. dividends 11,200 cash 11,200 c. dividends 43,200 dividends payable 43,200 d. dividends 14,400 cash 14,400 00 Which transformation most likely maps figure ABCD onto figure A'B'C'D'? A Reflection across the Y-axis B Rotation 90 Clockwise about the origin C Rotation 90 Counter-Clock- wise about the origin D Rotation 180 about the origin |-10-9-8-7-6 D B 10 19 8 17 6 5 3 -2 I 1 5 +6 +7 AC -8 9 10 910 A) Rotati B) Reflec C) Reflec (D) Transl technician a says that solder should be applied to the soldering iron tip while soldering. technician b says that the solder should be applied to the wire joint while soldering. who is correct? a sample of gold (rho = 19.32 g/cm), with a mass of 40.69 g, is pressed into a leaf of 1.000 m thickness, what is the area of the leaf? true or false? core funding for united nations organizations is given for a specific purpose by the donor and must be spent on that particular activity. epifauna are those organisms that are either permanently attached to the bottom or move over it.T/F write a structural formula for (r)-4-chloro-2-pentyne (show stereochemistry as needed). Daniel and Ismaela are kicking soccer balls at a goal. Daniel makes 12 of his 15 shots in the goal. Ismaela takes 20 shots at the goal and makes the same percent of shots asDaniel. How many of Ismaela's shots make it in the goal? Jack buys 50 pens for 65p each. He sells 80% of the pens making 20% profit on each. to sell the remainder of the pens he is forced to reduce his price making a loss of 9p on each. Assuming he sells all of his pens calculate his total profit. what type of chemical reaction an electric current passing through water and reducing it to hydrogen and oxygen a certain process has suniv < 0 at 25c. what does one know about the process? There were 17 students running in a race. How many different arrangements of first, second, and third place are possible? what is shodan? what is a password keeper? what is a polyalphabetic cipher? examples? what is a hash? what is a zero day exploit? what is public key encryption? describe how it works, how it is used and who invented it. what is a hash? how do passwords work? what is social engineering? what is the enigma machine and who was one of the leaders in cracking it. what are the various forms of malware? worm, virus, etc. what is the name of one of the most famous hacktivist group? what is the relation between key length and decryption difficulty In 2017, Leonardo da Vinci's painting Salvator Mundi sold for a record $450.3 million. In 1958, it sold for $125, equivalent in purchasing power to about $1,060 at 2017 prices. The painting was originally commissioned by King Louis XII of France in about 1500. The Wall Street Journal guesstimated that the king may have paid Leonardo the equivalent of $575,000 in 1519. a. What was the annual rate of appreciation in the price of the painting between 1958 and 2017 adjusted for inflation? b. What was the annual estimated rate of appreciation in the price of the painting between 1519 and 2017 adjusted for inflation. *Note: I have the solutions, but I don't understand what the numbers are being plugged into. The solutions don't show the formulas or the process. Please show me the formulas and the steps, not just the answer so that I can understand this please Which power belongs to the national judicial branch? Decide whether laws follow the Constitution Approve and carry out laws Choose Supreme Court judges Create national laws Story Anne frank: What did it mean to "still have your face"? Which of the following correctly predicts the most likely mode of radioactive decay for the nuclide As3384As3384? jounal entry for nicole's necklaces purchased a diamond necklace two years ago for $700. however, due to a decrease in the popularity of pearls, the necklace is now only worth $400. what journal entry will nicole make after applying the lower of cost or market rule? a violation of the uniform securities act will not occur if statements made about a security are: how would you deal with an employee who displays poor self-esteem