Answer:
Yes.
Step-by-step explanation:
If you write out the coordinates, you can see that you can do the Vertical Line Test and confirm that if you were to write a function, it would be an actual function. No 2 x-values can be the same y-values. The coordinates all have separate xy values (or the same exact xy values) and you can determine a function.
Answer:
YES
Step-by-step explanation:
let's organize our information :
We notice that the values of the height of the table are changing as the height of the chais is changing 75⇒46 74⇒44 76⇒47 75⇒46 72⇒43 77⇒48 76⇒47 71⇒42Notice how when the chair's height is growing by 1 the same happens for the tables
so they are proprtional we can say tha x is the height of table is x and the height of the chais is y x=71 y=42 x=72 y=43when we added 1 to x the same happened for y x+1⇒y+1 notice : 71-42=29 , 72-43=29 so x-y= 29 then x=y+29whats the square root of 83
Answer:
9.110434
Step-by-step explanation:
√83 ≈ 9.110434
Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] f(x) = 4 x , a = −2
Answer:
4x
Step-by-step explanation:
The Taylor series of a function f(x) about a value x = a is given by f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)²/2! + f'''(a)(x - a)³/3! + ... where the terms in f prime f'(a) represent the derivatives of x valued at a.
For the given function, f(x) = 4x and a = -2
So, f(a) = f(-2) = 4(-2) = -8
f'(a) = f'(-2) = 4
All the higher derivatives of f(x) evaluated at a are equal to zero. That is f''(a) = f'"(a) =...= 0
Substituting the values of a = -2, f(a) = f(-2) = -8 and f'(-2) = 4 into the Taylor series, we have
f(x) = f(-2) + f'(-2)(x - (-2))/1! + f''(-2)(x - (-2))²/2! + f'''(-2)(x - (-2))³/3! +...
= -8 + 4(x + 2)/1! + (0)(x + 2)²/2! + (0)(x + 2)³/3! +...
= -8 + 4(x + 2) + 0 + 0
= -8 + 4x + 8
= 4x
Translate into an algebraic expressions: b is decreased by 40% and decreased again by 40% . What is the result ?
Answer:
Result = 9b/25 or 36b/100
Step-by-step explanation:
The number is b
step 1
b is decreased by 40%
value of 40% of b = 40/100 *b = 4b/10
New value after this change = b - 40% decreased value of b = b -4b/10
= (10b-4b)/10 = 6b/10
Step 2 The new value obtained is again decreased by 40%
value of 40% number found in step 1 = 40% of value found in step 1
value of 40% number found in step 1 = 40/100 * 6b/10 = 24b/100
This value (24b/100) is subtracted from value found in step 1(6b/10) as given that value obtained is decreased by 40%
new value found after 40% decrease = 6b/10 - 24b/100
new value found after 40% decrease = 60b/100 - 24b/100= 36b/100
new value found after 40% decrease = 36b/100 = 9b/25
Thus, the result of b is decreased by 40% and decreased again by 40% is 9b/25
Which expression has a positive value?
A - Negative 4 + (negative 5) (negative 6) divided by (negative 3)
B - 8 Left-bracket 10 divided by (2) (negative 2) Right-bracket
C - 3 (negative 64 divided by 8) + 25
D - Negative 2 (negative 5) (negative 3) divided by 10
Answer:
C - 3 (negative 64 divided by 8) + 25 =1
Step-by-step explanation:
Answer:
C is correct answer
Step-by-step explanation:
HELP ON THIS QUESTION PLEASE
Answer:
slope is m=1. y-intercept is -1
Answer:
Slope is 1 and intercept is -1. Slope can be found by taking the rise and run of 2 points on a graph. and intercept is just when x = 0
In triangle ABC, points N and M lie on sides AB and AC, respectively.Given AM = AN = BM = NC = BC, find m∠BAC.
Answer:
36°
Step-by-step explanation:
Please refer to the attached figure.
Triangles ANC, AMB, BCN, CBM are all isosceles by virtue of the given congruences. By symmetry, we also claim that ΔABC is isosceles (AB≅AC).
We aren't sure how their internal angles relate, but we can write a couple of equations.
Let x = m∠BAC, y = m∠BCN.
∠NCA = ∠NAC = ∠MBA = ∠MAB = x
∠BCM = ∠BMC = x +y
∠BMC = ∠MBA +∠MAB = 2x
So, we have ...
∠BMC = x +y = 2x ⇒ y = x
And the sum of angles around ΔABC is ...
x +(2x) +(2x) = 180°
x = 180°/5 = 36°
The measure of angle BAC is 36°.
Which of these numbers is prime? 13, 30, 49, 65, 87
Answer:
13
Step-by-step explanation:
factors of 13 : 1, 13
factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
factors of 49: 1, 7, 49
factors of 65: 1, 5, 13, 65
factors of 87: 1, 3, 29, 87
Help me Please, i will give you branliest
Answer:
35/42 = b/7 and b= 35/6
Step-by-step explanation:
Our base is unkhown so it will be the variable in our equation :
Let A be the area , h the height and b the base A = b*h 35/42 = b/7 this is the equation , let's solve it (35*7)/42 = b (35*7)/ 7*6 =b 35/6 = bso b is 35/6 cm
solve both equations 8x + 7y = 39 4x – 14y = –68
Answer:
x=1/2, y=5
Step-by-step explanation:
This can be solved using substitution!
Hope this helped!
Answer:
{x,y}={ 1/2, 5)
Step-by-step explanation:
[1] 8x + 7y = 39
[2] 4x - 14y = -68
Solve equation [2] for the variable x
[2] 4x = 14y - 68
[2] x = 7y/2 - 17
// Plug this in for variable x in equation [1]
[1] 8•(7y/2-17) + 7y = 39
[1] 35y = 175
// Solve equation [1] for the variable y
[1] 35y = 175
[1] y = 5
// By now we know this much :
x = 7y/2-17
y = 5
// Use the y value to solve for x
x = (7/2)(5)-17 = 1/2
After the last ice age began, the number of animal species in Australia changed rapidly. The relationship between the elapsed time, t, in years, since the ice age began, and the total number of animal species, S year(t), is modeled by the following function: S year(t)=25,000,000⋅(0.78)t Complete the following sentence about the rate of change in the number of species in decades. Round your answer to two decimal places. Every decade, the number of species decays by a factor of
Answer:
Every decade, the number of species decays by a factor of 0.0834.
Step-by-step explanation:
Let be [tex]S(t) = 25,000,000\cdot 0.78^{t}[/tex], [tex]\forall t \geq 0[/tex]. The decay rate per decay is deducted from the following relation:
[tex]\frac{S(t+10)}{S(t)} = \frac{25,000,000\cdot 0.78^{t+10}}{25,000,000\cdot 0.78^{t}}[/tex]
[tex]\frac{S(t+10)}{S(t)} = 0.78^{t+10-t}[/tex]
[tex]\frac{S(t+10)}{S(t)} = 0.78^{10}[/tex]
[tex]\frac{S(t+10)}{S(t)} = 0.0834[/tex]
Every decade, the number of species decays by a factor of 0.0834.
Answer:
28% subtracted
Step-by-step explanation:
khan
Solve the following system of equations: x − 2y = 14 x + 3y = 9 (1, 12) (−1, −12) (12, −1) (12, 1)
Answer:
work is shown and pictured
answer is c
Answer:
the correct answer among the choices is C
Step-by-step explanation:
The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees based on the region of the country the warehouse is located. She randomly selects 35 employees who work in warehouses on the East Coast (Group 1) and 35 employees who work in warehouses in the Midwest (Group 2) and records the number of parts shipped out from each for a week. She finds that East Coast group ships an average of 1299 parts and knows the population standard deviation to be 350. The Midwest group ships an average of 1456 parts and knows the population standard deviation to be 297.Using a 0.01 level of significance, test if there is a difference in productivity level. What is the p-value? (Round to four decimal places) p-value =
Answer:
The results of the hypothesis test suggests that there is no difference in productivity level of two warehouses (East Coast and the Midwest Coast).
p-value = 0.0473
Step-by-step explanation:
To perform this test we first define the null and alternative hypothesis.
The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.
While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.
For this question, we want to test if there is a difference in productivity level of the two warehouses (East Coast and the Midwest Coast).
Hence, the null hypothesis would be that there isn't significant evidence to suggest that there is a difference in productivity level of two warehouses (East Coast and the Midwest Coast). That is, there is no difference in the productivity level of two warehouses (East Coast and the Midwest Coast).
The alternative hypothesis is that there is significant evidence to suggest that there is a difference in productivity level of two warehouses (East Coast and the Midwest Coast).
Mathematically, if the average productivity level of the East Coast group is μ₁, the average productivity level of the Midwest group is μ₂ and the difference in productivity level is μ = μ₂ - μ₁
The null hypothesis is represented as
H₀: μ = 0 or μ₂ = μ₁
The alternative hypothesis is represented as
Hₐ: μ ≠ 0 or μ₂ ≠ μ₁
So, to perform this test, we need to compute the test statistic
Test statistic for 2 sample mean data is given as
Test statistic = (μ₂ - μ₁)/σ
σ = √[(s₂²/n₂) + (s₁²/n₁)]
μ₁ = average productivity level of the East Coast group = 1299 parts shipped
n₁ = sample size of East Coast group surveyed = 35
s₁ = standard deviation of the East Coast group sampled = 350
μ₂ = average productivity level of the Midwest group = 1456 parts shipped
n₂ = sample size of Midwest group surveyed = 35
s₂ = standard deviation of the Midwest group sampled = 297
σ = √[(297²/35) + (350²/35)] = 77.5903160379 = 77.59
We will use the t-distribution as no information on population standard deviation is provided
t = (1456 - 1299) ÷ 77.59
= 2.02
checking the tables for the p-value of this t-statistic
Degree of freedom = df = n₁ + n₂ - 2 = 35 + 35 - 2 = 68
Significance level = 0.01
The hypothesis test uses a two-tailed condition because we're testing in both directions.
p-value (for t = 2.02, at 0.01 significance level, df = 68, with a two tailed condition) = 0.047326
The interpretation of p-values is that
When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.
So, for this question, significance level = 0.01
p-value = 0.047326
0.047326 > 0.01
Hence,
p-value > significance level
This means that we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that there is a difference in productivity level of two warehouses (East Coast and the Midwest Coast).
Hope this Helps!!!
An amusement park has 20 rides. Ethan has enough time to ride 3 rides before the park closes. How many different ways could Ethan pick to ride the 3 rides? PLZZZZ HELLPPPP MEEEE
Answer:
20*19*18 = 6840
UNLESS...............
he is allowed to ride the same ride again , over and over....
then it is 20 x 20 x 20 = 8000
Step-by-step explanation:
I NEED HELP!!
The chef at a school cafeteria asked 100 male and 100 female students
whether they like peas. 58 of the males said they like peas. 36 of the females
said they dislike peas. Which two-way table correctly shows these results?
Answer:
d
Step-by-step explanation:
The table shows the result of the statement given below.
What is data table?A data table is a range of cells in which you can change values in some of the cells and come up with different answers to a problem.
here, we have,
Given that,
the chef at a school cafeteria asked 100 male and 100 female students whether they like peas.
42 of the males said they like peas. 64 of the females said they dislike peas.
The number of males who like peas=42 and the number of males who dislikes peas=58.
The number of females who like peas=36 and the number of females who dislikes peas=64.
The table shows the result of the statement given below.
To learn more about the data table visit:
brainly.com/question/17084863.
#SPJ7
What is the leading coefficient of a cubic polynomial that has a value of −208 when x=1, and has zeros of 5, 5i, and −5i?
Answer:
2
Step-by-step explanation:
We already have the zeros, so we can write the cubic polynomial in this general form:
[tex]y = a(x - x_1)(x - x_2)(x - x_3)[/tex]
Where:
[tex]x_1 = 5[/tex]
[tex]x_2 = 5i[/tex]
[tex]x_3 = -5i[/tex]
So we have that:
[tex]y = a(x -5)(x - 5i)(x + 5i)[/tex]
[tex]y = a(x -5)(x^2 + 25)[/tex]
To find the value of the leading coefficient 'a', we can use the point (1, -208) given:
[tex]-208 = a(1 -5)(1 + 25)[/tex]
[tex]-208 = a(-4)(26)[/tex]
[tex]a = -208 / (-104) = 2[/tex]
So the leading coefficient is 2.
The area of the parallelogram is____________________
the area of the quadrilateral.
What goes in the blank?
Answer:
double
Step-by-step explanation:
Are 2b+ b and 3b equivalent expressions?
Answer:
yes
Step-by-step explanation:
2b+b=3b because2+1 = 3
Answer:
the answer is yes
Step-by-step explanation:
yes it is equivalent expression because 2b+b and 3b have the same value and length or numerator which equals yes.
When 6r − 17r = -66 is solved, the result is: A. 6 B. -6 C. -11 D. 11
Answer:
A
Step-by-step explanation:
6r - 17r = -66
Subtract like terms.
-11r = -66
Divide both sides by -11.
r = -66/-11
r = 6
Answer:
6
Step-by-step explanation:
6r-17r=-66
-11r=-66
r=6
Finding missing angles
Answer:
C. 105° = (5x - 70)°
Step-by-step explanation:
Vertically opposite angles are equal in size.
105° = (5x - 70)°
The correct answer is choice C.
Meant to put the letter C
Press the attachment it’s a picture of the question. PLEASE HELP ME MY LAST DAY IS TODAY AND I NEED HELP! I WILL GIVE YOU BRAINLIEST
Answer:
210 vegetable in 7 rows
Step-by-step explanation:
first step is to figure out how many vegetable can she grow in one row:
convert feet to inches : 6.25 feet* 12 inches=75 inches
(75/2 1/2) (2 /12 is 3/2 or 2.5)
(75/2.5)= 30 vegetable in one row
in 7 rows : 30*7=210 vegetable in 7 rows
If (x^2 – 4) = (x + 2) = x - 2, which polynomial should fill in the blank below?
Hey there! :)
Answer:
2nd choice. (x - 2)
Step-by-step explanation:
Given in the question:
(x²-4) ÷ (x + 2) = x-2
This is an example of difference of squares.
We can rearrange the equation by multiplying both sides by (x+2) to become:
(x² - 4) = x - 2 (x + 2)
Therefore, the binomial that must be multiplied by (x+2) is the second choice, x-2.
Answer: B
Step-by-step explanation:
How can (4x⁵/2x²)³ be solved in 2 different ways
We assume that we need to simplify the expression in two different ways.
Answer:
One way: Raise both, the numerator and denominator, to the third power, and then simplify the expression.
Second way: Simplify the terms inside parentheses, and then raise the result to the third power.
The result of both ways is the same: [tex] \\8x^{9}[/tex]
Step-by-step explanation:
One way
Raise both, the numerator and denominator, to the third power, and then simplify the expression:
[tex] \\ (\frac{4x^{5}}{2x^{2}})^{3}[/tex]
[tex] \\ (\frac{64x^{5*3}}{8x^{2*3}})[/tex]
[tex] \\ (\frac{64x^{15}}{8x^{6}})[/tex]
[tex] \\ \frac{64}{8}\frac{x^{15}}{x^{6}}[/tex]
[tex] \\8x^{9}[/tex]
This is the first simplification.
Second way
Simplify the terms inside parentheses, and then raise the result to the third power.
[tex] \\ (\frac{4x^{5}}{2x^{2}})^{3}[/tex]
[tex] \\ (\frac{4}{2}*\frac{x^{5}}{x^{2}})^{3}[/tex]
[tex] \\ (2*x^{5-2})^{3}[/tex]
[tex] \\ (2*x^{3})^{3}[/tex]
[tex] \\ (2^{3}*x^{3*3})[/tex]
[tex] \\ (8*x^{9})[/tex]
or [tex] \\ 8x^{9}[/tex].
126,720 inche are equal to how many miles ?
Answer:
The answer is
2 milesStep-by-step explanation:
63, 360 inches = 1 mile
126,720 = 126,720 / 63 , 360 × 1 mile
Which is equal to
2 miles
Hope this helps you
A soccer player has made 3 of her last 10 field goals, which is a field goal percentage of 30%. How many more consecutive field goals would she need to make to raise her field goal percentage to 50%?
Answer:
x = 4
Step-by-step explanation:
The sugar content of the syrup in canned peaches is normally distributed. A random sample of n=25 cans yields a sample standard deviation of s=6.9 milligrams. Construct a 99% one-sided lower confidence bound for the population variance.
Answer:
99% one-sided lower confidence bound = 26.77
Step-by-step explanation:
We have to calculate a 99% one-sided lower confidence bound for the population variance.
The sample size is n=25.
The degrees of freedom are then:
[tex]df=n-1=25-1=24[/tex]
The critical value of the chi-square for this confidence bound is:
[tex]\chi^2_{0.01, \,24}=42.98[/tex]
Then, the lower confidence bound can be calculated as:
[tex]LB=\dfrac{(n-1)s^2}{\chi^2_{0.01,24}}=\dfrac{24\cdot(6.9)^2}{42.98}=\dfrac{1,142.64}{42.68}=26.77[/tex]
Solve the initial-value problem. x' + 2tx = 5t, x(0) = 8 x(t) =
Multiply both sides of the ODE
[tex]x'+2tx+5t[/tex]
by [tex]e^{t^2}[/tex]:
[tex]e^{t^2}x'+2te^{t^2}x=5te^{t^2}[/tex]
Now the left side can be condensed as the derivative of a product:
[tex]\left(e^{t^2}x\right)'=5te^{t^2}[/tex]
Integrate both sides, then solve for x :
[tex]e^{t^2}x=\dfrac52e^{t^2}+C[/tex]
[tex]\implies x(t)=\dfrac52+Ce^{-t^2}[/tex]
Given that x(0) = 8, we find
[tex]8=\dfrac52+Ce^0\implies C=\dfrac{11}2[/tex]
so that the particular solution to this IVP is
[tex]\boxed{x(t)=\dfrac{5+11e^{-t^2}}2}[/tex]
Explain in your own words why a polynomial can’t be a quadratic if a= 0?
If [tex]a = 0[/tex], then [tex]y = ax^2+bx+c[/tex] turns into [tex]y = 0x^2+bx+c[/tex]. That [tex]0x^2[/tex] term goes away because it turns into 0, and adding 0 onto anything does not change the expression.
So [tex]y = 0x^2+bx+c[/tex] turns into [tex]y = bx+c[/tex] which is a linear equation (b is the slope, c is the y intercept). It is no longer a quadratic as quadratic equations always graph out a curved parabola.
As an example, you could graph out [tex]y = 0x^2+3x+4[/tex] and note how it's the exact same as [tex]y = 3x+4[/tex], both of which are straight lines through the two points (0,4) and (1,7).
Which of the following numbers would be used to get the variable by itself in the equation 7x = 12?
Answer:
Divide by 7 or multiply by 1/7
Step-by-step explanation:
7x = 12
Divide each side by 7
7x/7 = 12/7
x = 12/7
We could also multiply each side by 1/7
7x * 1/7 = 12*1/7
x = 12/7
Find the gradient of the line 2y = 8x + 1 =
. Find the y-intercept of the line 4y + 8x = -8 =
Does the point (1 ,12) lie on the line y = 3x + 8 ? =
Does the point (-2 ,10) lie on the line y = 14 + 2x ? =
Answer:
56 46 38 2 12
Step-by-step explanation:
What is the equation of a line whose slope is 2 and passes through the point (-6,9)
Answer:
y = 2x + 21
Step-by-step explanation:
Step 1: Write out known variables
y = mx + b
m = 2
y = 2x + b
Step 2: Find b
9 = 2(-6) + b
9 = -12 + b
b = 21
Step 3: Rewrite linear equation
y = 2x + 21