Answer: y = 16807
Step-by-step explanation:
7 * 7 * 7 * 7 * 7 * 7 = 117649
7^16807 = 117649
polynomial functions- Part 1
The volume of a right rectangular prism is (10x³ +21x² 25x+6) cubic meters, and the area of its base is
(10x² - 9x+2) square meters.
What is the height of the prism?
Enter your answer in the box.
meters
Answer:
Below
Step-by-step explanation:
base * height = volume
volume / base = height
divide 10x^2-9x+2 INTO 10x^3 + 21x^2 MINUS 25x +6
( you left out the minus sign in your post)
to get height = x+3
(8x²+4) + (-x² -3x)
solve this
PLEASE HELP!! HURRY!!!
Answer:
A. is the answer
Step-by-step explanation:
y as a function of x meaning:
Every x has a y, but the x value cannot repeat and every x has it's own y.
Example:
x: 1 2 3 4 5
y: 2 4 6 8 10
This is y as a function of x because the x values do not repeat and they each have a y value.
Example 2:
x:3 4 5 3 6
y: 1 2 3 4 5
This wrong because the 3 in the x value repeats twice which cause y not to be a function of x.
The reason why it wouldn't be B is because of -1
The reason why it wouldn't be C is because the y values repeat
The reason why it wouldn't be D is because all the x values are -7
Hope this helped!
Please help! I need the answer immediately, atleast 15 minutes under!
The question according to the equation will be a board that is 1/4 yard long cut into 2 equal pieces. Hence, option A is correct.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given information in the question,
The given equation in the question is,
1/4 ÷ 2 = 1/8
It can be clearly seen that 1/4 divided by 2 is mentioned in the question and the product obtained is 1/8.
It means that 1/4 is divided into 2 equal pieces and the length of each piece is 1/8.
So, the question will be a board that is 1/4 yard long cut into 2 equal pieces. How long is each piece?
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an airline finds that 5% of the persons making reservations on a certain flight will not show up for the flight. if the airline sells 170 tickets for a flight that has only 165 seats, what is the probability that a seat will be available for every person holding a reservation and planning to fly? (round your answer to four decimal places.)
The probability that a seat will be available for every person holding a reservation and planning to fly s 0.9306.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Given: An airline finds that 5% of the persons making reservations on a certain flight will not show up for the flight.
The airline sells 170 tickets for a flight that has only 165 seats.
The proportion of reservations that do not show up for the flight
P = 5% = 0.05.
Number of tickets sold n = 170
Number of seats in the flight = 165
If at least 5 people do not show up then we have enough seats for every person.
P(X ≥ 5) = Σ (from 5 to 170)[tex]170C_x(0.05)^x(0.95)^1^7^0^-^x[/tex]
P(X ≥ 5) ≈ 0.9306
Hence, the probability that a seat will be available for every person holding a reservation and planning to fly s 0.9306.
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The mass of a white-tailed deer is about 1.4 times the mass of a cougar. The average mass of a white-tailed deer is 98 kg. Calculate the mass of a cougar. Start with an equation that includes a variable. Show all work
The mass of the Cougar is 70 Kg using the concept of equations.
What are equations?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It demonstrates the equal relationship between the expressions presented on the left and right sides. To determine the value of an unknown variable that stands in for an unknown quantity, equations can be solved. If there is no "equal to" symbol, a statement is not an equation.
Let the mass of white-tailed deer = d
Mass of cougar = c
According to the question,
d = 1.4 × c ....(1)
d = 98 kg ....(2)
So,
1.4 × c = 98
c = 98/1.4
c = 70
So, the mass of the Cougar = 70 Kg
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In this lesson, you sketched polynomial functions using factors and rewrote them in general form.
1 Use the factors to sketch each cubic function and label the zeros. Then rewrite the function
in general form.
F(x) = (x+3)(-x + 5)2 - 2x)
Answer:
check the attached file
Step-by-step explanation:
the combined perimeter of a circle and square is 16 cm. find the dimensions of the circle and square that produce a minimum total area.
the dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively
given that
the combined perimeter of a circle and square is 16cm
let side length of the square is s
let radius of the circle with r
So, the perimeter (P) and the area (A) of the shape are:
P= 4s + 2[tex]\pi[/tex]r
A = [tex]s^{2}[/tex] + [tex]\pi[/tex][tex]r^{2}[/tex]
given that perimeter is 16
so, 4s +2[tex]\pi[/tex]r = 16
divide by 4
s +0.5[tex]\pi[/tex]r = 4
s = 4 - 0.5[tex]\pi[/tex]r
substitute s value in area
A = [tex](4-0.5\pi r)^{2}[/tex] + [tex]\pi[/tex]r
A = 16 - 4[tex]\pi[/tex]r +0.25[tex](\pi r)^{2}[/tex] +[tex]\pi[/tex][tex]r^{2}[/tex]
A =16 - 4[tex]\pi[/tex]r + (0.25 [tex]\pi ^{2}[/tex] + [tex]\pi[/tex])[tex]r^{2}[/tex]
differentiate with respect to r
A' = 0 - 4[tex]\pi[/tex] +2 (0.25 [tex]\pi ^{2}[/tex] + [tex]\pi[/tex])r
A' = - 4[tex]\pi[/tex] +2 (0.25 [tex]\pi ^{2}[/tex] + [tex]\pi[/tex])r
now A' =0
- 4[tex]\pi[/tex] +2 (0.25 [tex]\pi ^{2}[/tex] + [tex]\pi[/tex])r =0
2 (0.25 [tex]\pi ^{2}[/tex] + [tex]\pi[/tex])r = 4[tex]\pi[/tex]
divide both sides by 2
(0.25 [tex]\pi ^{2}[/tex] + [tex]\pi[/tex])r = 2[tex]\pi[/tex]
r = [tex]\frac{2\pi }{0.25\pi ^{2} +\pi }[/tex]
r = [tex]\frac{2\pi }{\pi (0.25\pi +1)}[/tex]
substitute [tex]\pi[/tex] =3.14
r = 2/(0.25(3.14)+1)
r = 1.12
substitute r value in s
s = 4 - 0.5 * 3.14 *1.12
s =2.24
Hence, the dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively
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the positive integers x, y, and z are such that x is a factor of y and y is a factor of z. is z even? (1) xz is even. (2) y is even.
As asked in the question the value of xz and y will be even ,
xz is even and y is also even
given
X = factor of Y
Y = factor of Z
Therefore,
z= mnz = mnx , xz = even
because
either z even, so the answer is directly yes or x is even (or both) but if x is even and as then z= mnz = mnx must be even too (one of the multiples of z is even, so z is even too).
(2) y= even
because
as z=ny then as one of the multiples of z even then only z will be even
Integers are the collection of whole numbers and negative numbers. Similar to whole numbers, integers also does not include the fractional part. Thus, we can say, integers are numbers that can be positive, negative or zero, but cannot be a fraction. We can perform all the arithmetic operations, like addition, subtraction, multiplication and division, on integers.
The examples of integers are, 1, 2, 5,8, -9, -12, etc. The symbol of integers is “Z“.
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38. WEATHER The temperature fell 16 degrees between noon and 3:00 P.M. At 3:00, the temperature was -3 degrees F. Write an equation to determine the temperature at noon.
Answer:
x - 16 = -3
Step-by-step explanation:
x - 16 = -3 Add 16 to both sides of the equation
x = 13
It was 13 degrees at noon
What is the prime factorization of the number.
132
Answer:The prime factorization of 132 is 2 × 2 × 3 × 11 or 22 × 3 × 11.
Step-by-step explanation:
The prime factorization of 132 is 2 × 2 × 3 × 11 or 22 × 3 × 11.
H. On average, Luke Hobbs drives 560 miles in 8 hours. How far does he drive in 1.5 hours?
The ratio of cats to dogs in an animal
shelter is 2: 5, and there are 10 cats.
A group of animals arrive at the shelter and
the ratio of cats to dogs becomes 5 : 3.
Work out the smallest number of new
animals that could have arrived at the
shelter.
Answer:
5:8
Step-by-step explanation:
The ratio of dogs and cats is 5:8
The ratios always have a common multiple.
Let that common multiple is ‘a’
So dogs and cat are:
dogs=5a
cats=8a
total animals=5a+8a=13a
13a=52
a=52/13
= 4 ——- Means, the common multiple is ‘4’
So, number of cats = 8a
=8*4=32
Answer:
37
Step-by-step explanation:
a committee of 3 is selected from jillian, miles, mark, and nikia. how many committees contain 2 boys and 1 girl
The probability of committees contain 2 boys and 1 girl is 9.
In the given question,
A committee of 3 is selected from Jillian, Miles, Mark, and Nikia.
We have to find the how many committees contain 2 boys and 1 girl.
As we know that,
Simply put, probability is the likelihood that something will occur. If we don't know how such an occurrence will end out, we can discuss the possibility or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
There are total 3 selection.
Possibility of selecting 2 boys = [tex]^{3}C_{2}[/tex].
There are total 3 selection.
Possibility of selecting 1 girl = [tex]^{3}C_{1}[/tex].
So the probability of committees contain 2 boys and 1 girl is
P(C) = [tex]^{3}C_{2}\times^{3}C_{1}[/tex]
After solving
P(C) = 9
The probability of committees contain 2 boys and 1 girl is 9.
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**WILL MARK BRAINLIEST AND GIVE 30 POINTS**
Graph the equations y=-1/2x+3 and y=2x-2 in the applet below.
1) After you graph the two lines, be sure to take a screenshot of your work and include it in your answer below.
2) What is the solution to the system of equations?
3) Prove that the answer you provided in part 2 is correct, by substituting the solution into the original equations. Be sure to show all your work.
The graph the system of linear equations on a coordinate plane is added as an attachment and the solution is (2, 2)
How to graph the system of linear equations on a coordinate plane?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
y=-1/2x+3 and y=2x-2
Rewrite the equations in the system of equations as follows:
So, we have the following representation
y = -1/2x + 3
y = 2x - 2
Next, we plot the graph of the system of equations
See attachment for the graph of the system of equations
The solution to the systemIn this case, the point of intersection of the equations represent the solution to the system
From the graph, the lines intersect at (2, 2)
This means that the solution to the system of equations is (2, 2)
Proof of the solutionRecall that
y = -1/2x + 3
y = 2x - 2
Solution = (2, 2)
So, we have
2 = -1/2 x 2 + 3 = 2 --- true
2 = 2 x 2 - 2 = 2 --- true
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Simplify and show work
Hence, the simplification is [tex]27-18i[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equation is
[tex](-4+i)(-6+3i)[/tex]
then,
[tex]-4(-6+3i)+i(-6+3i)\\\\=24-12i-6i+3\\\\=24-18i+3\\\\=27-18i[/tex]
Hence, the simplification is [tex]27-18i[/tex].
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Credit scores are often a factor in determining your insurance premiums. Search the Internet using the keywords “credit score and insurance rates" and briefly respond to these questions:
What are some pros and cons of using credit scores for insurance pricing?
Correlations are used to justify considering credit scores to set premiums. What other variables related to credit scores justify linking them to a premium rate?
Describe from the insurance company’s perspective which expected values are affected by use of credit scores.
Do you agree or disagree with using credit scores in determining insurance premiums? Support your opinion briefly.
No Response(s)
Be the first to respond to the Discussion topic!
Answer:
Step-by-step explanation:
Pros: Lower rates: Insurance rates are reduced for most consumers. ✓ Rates match risk: Higher-risk policyholders may pay a higher rate that accurately reflects their higher risk of loss – so lower-risk policyholders don't have to subsidize the cost of insurance for higher-risk policyholders.
Cons: HIGHER rates.
Insurance companies justify the use of insurance scores by citing studies showing a positive correlation between credit scores and insurance claims
A higher credit score decreases your insurance rate, often significantly, with almost every company and in most states. Getting a quote, however, does not affect your credit. Your credit score is a key part of determining the rate you pay for insurance.
The soccer team voted on what they wanted to eat. There are 20 members on the team. Six members voted for pizza, 10 voted for chicken, and the rest voted for hot dogs.
Which ratio represents the number of votes for hot dogs to chicken?
Responses
1/5
2/5
3/5
5/2
The ratio representing the number of votes for hot dogs to chicken is 2/5.
Define the term ratios of the number?An set of points of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is indeed an equation that sets two ratios at the same value.Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing each data point (A) to some other data point (B).For the stated question.
Total votes = 20.
Pizza = 6
Chicken = 10
Hot dogs = 20 - 16 = 4
Then,
Ratio = votes for hot dogs/ votes for chicken
Ratio = 4/10
Ratio = 2/5
Thus, the ratio representing the number of votes for hot dogs to chicken is 2/5.
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A circle is centered on point B, Points A, C and D lie on its circumference. if ABC measures 61 degrees, what does ADC measures?
Answer:
61
Step-by-step explanation:
hope this helps
math how to answer twice the sum of five times a number increased by one is twelve. determine the number
After solving the expression, the number is 5.
In the given question we have to answer twice the sum of five times a number increased by one is twelve.
We have to determine the number by solving the given statement.
To solve the question we have to read the statement carefully. Then write the expression according to the statement. Then solve the statement according the rules.
In the given statement given that five time a number.
Let the number be x. So the expression should be 5x.
Again says that five times a number increased by one. So the expression 5x+1.
Then says that twice the sum of five times a number increased by one. Now the expression should be 2(5x+1).
Then says that twice the sum of five times a number increased by one is twelve. Now the statement is 2(5x+1)=12
Now solving the expression.
Divide by 2 on both side, we get
5x+1=6
Subtract 1 on both side, we get
5x=5
Divide by 5 on both side, we get
x=1
Now the number is 5.
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Can you guys please help me
Question at position 1
One serving of a fruit punch recipe serves 16 people.
Which of the following answer choices correctly lists the ordered pairs for 1, 2, 3, and 4 servings? (number of servings, number of people served)
(16, 1), (32, 2), (48, 3), (64, 4)
(1, 16), (2, 32), (3, 48), (4, 60)
(1, 16), (2, 32), (3, 48), (4, 64)
(1, 32), (2, 48), (3, 64), (4, 80)
Answer:
(1,16),(2,32),(3,48),(4,64)
Step-by-step explanation:
so 1=16
2×16=32
3×16=48
4×16=64
The correct answer is C. (1, 16), (2, 32), (3, 48), (4, 64)
How did we figure out this?For this equation we have to "multiply" each number that makes scene.
We got to work with what is given in the question.
Given options:
(16, 1), (32, 2), (48, 3), (64, 4)
(1, 16), (2, 32), (3, 48), (4, 60)
(1, 16), (2, 32), (3, 48), (4, 64)
(1, 32), (2, 48), (3, 64), (4, 80)
Therefore, the equation is:
[tex]2*16\\3*16\\4*16[/tex]
2 x 16 = 323 x 16 = 484 x 16 = 64Therefore, the correct answer is C. (1, 16), (2, 32), (3, 48), (4, 64)
help :(( pleaseeeeeee
Answer:
69.29 deg
Step-by-step explanation:
Recall that tan(x) = opposite/adjacent. This is helpful because we know the opposite and adjacent leg from the angle x! This gives us tan(x) = 43/18, so we can solve for x by taking tan^-1 of both sides, giving x = tan^-1(43/18), or 67.29 degrees.
2. for a chis-square goodness of fit test, if the number of categories is 6 and the test statistics is 8.4345, how to calculate the p-value? a. pchisq(8.4345,6) b. pchisq(8.4345,5) c. 1- pchisq(8.4345,6) d. 1- pchisq(8.4345,5)
for a chis-square goodness of fit test, if the number of categories is 6 and the test statistics is 8.4345, p value will be pchisq(8.4345,5)
To test a hypothesis' validity against actual data, a statistical calculation called a p-value is used. The probability of experiencing the results that were observed is calculated using a p-value, assuming that the null hypothesis is true. The p-value can be calculated by looking up the 8.4345 value in the Chi-Square distribution table with 5 degrees of freedom (6-1=5). The resulting p-value will depend on the significance level you choose.
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please hurry
Identify the form the following equation is in
y =−14x + 3
a.point slope
b.standered form
cslope intercept form
Answer: -3x2
Step-by-step explanation:
a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 438 gram setting. is there sufficient evidence at the 0.02 level that the bags are underfilled? assume the population is normally distributed. state the null and alternative hypotheses for the above scenario.
The required hypothesis are as follows , H0: μ = 438 and Ha: μ ≠ 438
The null hypotheses for the above scenario will be the statement of no effect and it'll be the mean weight of the bag that filled will be 438grams.
H0: μ = 438
The alternative hypotheses for the above scenario will be that the bag isn't filled with 438grams. They are either underfilled below 438grams or overfilled above 438grams.
Ha: μ ≠ 438
Statistics is the study of surveys and research on numerical data. In order to conduct surveys, the hypothesis must be established. There are typically two different kinds of hypotheses. A null hypothesis is one that holds true, whereas an alternate hypothesis is another.
The null hypothesis is a broad assertion or default condition that there is nothing happening. For instance, there is no relationship between two measured occurrences or a connection between groups.
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g suppose (x y)6 is completely expanded as a sixth-degree polynomial. in the expanded expression, what are a (the coefficient of the middle term) and b (the sum of all the coefficients)?
In the expanded expression of the given polynomial, the coefficient of the middle term is 20 and the sum of all coefficients is 64.
What is a polynomial?
'poly' means many and 'nominal' means term. A polynomial is a type of algebraic expression with many terms having variables and coefficients.
Given polynomial is,
[tex] {(x + y)}^{6} [/tex]
Expanding the given sixth-degree polynomial using binomial expansion we get the expression of the picture given.
Solving all expressions we get,
[tex] {(x + y)}^{6} = {x}^{6} + 6 {x}^{5} y +15 {x}^{4} {y}^{2} + 20 {x}^{3} {y}^{3} + 15 {x}^{2} {y}^{4} + 6x {y}^{5} + {y}^{6} [/tex]
The middle term is
[tex]20 {x}^{3} {y}^{3} [/tex]
The coefficient of the term is 20
The sum of all coefficients is 1+6+15+20+15+6+1= 64
Hence, in the expanded expression of the given polynomial, the coefficient of the middle term is 20 and the sum of all coefficients is 64.
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A video game store uses a markup rate of 40% on a shipment of video games. The store paid $24 for each video game in the shipment. What is the retail price of each video game?
The retail price of each video game is $33.6
How to determine the retail price of each video game?From the question, we have the following parameters that can be used in our computation:
Markup rate = 40%
Amount paid = $24
The retail price of each video game can be calculated using the following equation
Retail price = Amount paid * (1 + Markup rate)
Substitute the known values in the above equation, so, we have the following representation
Retail price = 24 * (1 + 40%)
Evaluate
Retail price = 33.6
Hence, the retail price is $33.6
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Graph the function f(x)=(1/4)^x
[tex]f(x)=(\dfrac{1}{4} )^x[/tex]
Please refer to the following graph below:
(−12)3+ (24+9)−−−−−−−√.
Answer:
-3 is the answer.
Step-by-step explanation:
Given
(-12)3 + (24+9)----------^
= -12*3 + 33 ---------
= -36 + 33
= -3