A cube has edge lengths of 11 ft. What is the volume of the cube?

Answer:

5 a

Step-by-step explanation:

The x-coordinate of point T is 7. Thus, point T is (7, 3).

To solve for x, we will use the concept of slope. The slope between any two points on a line remains constant. Let's find the slope between points R(-5, -3) and S(-1, -1):

Slope (m) = (y2 - y1) / (x2 - x1)
m = (-1 - (-3)) / (-1 - (-5))
m = (2) / (4)
m = 1/2

Now, we will use the slope between points S(-1, -1) and T(x, 3):

m = (3 - (-1)) / (x - (-1))
1/2 = (4) / (x + 1)

Now, we will solve for x:

1/2 (x + 1) = 4
x + 1 = 8
x = 7

So, the x-coordinate of point T is 7. Thus, point T is (7, 3).

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The total cost for 13 rides is 46 $.

Amount to be paid as entry fee = 20 $

Amount to be paid in each ride = 2 $

Therefore, total cost for 13 rides, P = 20 + (2 x 13)

P = 46 $

Total cost for r rides, P' = (20 + 2r) $

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Answer:

theres a spot with a link icon where you can upload an image

Step-by-step explanation:

you just have to ss it first and then it will show up when you go to upload

Answer:

V=(3x+2y)^3

Step-by-step explanation:

V=s^3

s=3x+2y

Substitute

V=(3x+2y)^3

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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Answer:

1,500

Step-by-step explanation:

Answer:

74/17 = 4.35

Step-by-step explanation:

The first triangle is 74 and the second triangle is 17, so you divide 17 by 74 to get 4.35294 which rounds to 4.35

Answer:

\(x=-6\)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

Plug in all known points and variables:

\(\frac{1}{5} =\frac{(3-4)}{(x--1)}=\frac{-1}{(x+1)}\)

Multiply both sides of the equation by (x+1):

\(\frac{(x+1)}{5} =-1\)

Multiply both sides by 5:

\(x+1=-5\)

Subtract 1 from both sides:

\(x=-6\)

we would need at least 1666 people in each age group to achieve a 99% confidence interval within ±2%.

To estimate the difference between the proportion of freshmen using steroids and the proportion of seniors using steroids in Illinois, we can use a confidence interval. The formula for constructing a confidence interval for the difference in proportions is:

CI = (p1 - p2) ± Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

Where p1 and p2 are the sample proportions, n1 and n2 are the sample sizes, and Z is the critical value corresponding to the desired confidence level.

In this case, we have 34 freshmen out of 1679 and 24 seniors out of 1366 who have used steroids. Using these numbers, we can calculate the sample proportions:

p1 = 34 / 1679 ≈ 0.0202 (proportion of freshmen using steroids)

p2 = 24 / 1366 ≈ 0.0176 (proportion of seniors using steroids)

To construct a 95% confidence interval, we need to find the critical value Z for a 95% confidence level. Assuming a normal distribution, the critical value Z is approximately 1.96.

Plugging in the values into the formula, we have:

CI = (0.0202 - 0.0176) ± 1.96 * \(\sqrt{0.0202 * (1 - 0.0202) / 1679) + (0.0176 * (1 - 0.0176) / 1366}\)

Calculating the confidence interval, we find that the difference between the proportions of freshmen and seniors using steroids in Illinois is approximately -0.0026 ± 0.0028.

The results from this confidence interval suggest that there is a small difference between the proportions, but the interval includes zero, indicating that the difference is not statistically significant. This is consistent with the findings from a significance test that indicated no significant difference between the two groups.

To achieve a 99% confidence interval within ±2%, we need to determine the required sample size. The formula for calculating the sample size needed is:

n = [(Z * σ) / E]²

Where Z is the critical value, σ is the standard deviation, and E is the desired margin of error.

Assuming a conservative estimate of 0.5 for the proportion (worst-case scenario), and a margin of error of ±0.02, we can solve for the required sample size:

n =\([(2.58 * 0.5) / 0.02]^2\) ≈ 1665.64

Rounding up, we would need at least 1666 people in each age group to achieve a 99% confidence interval within ±2%.

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Answer:

It is -2/3

Step-by-step explanation:

Answer:

yuh?

and what help do you need from me?

im a math genius, thank you very much

:)

False. In the given scenario, the statement "the cost function is always greater than the revenue function" is unrelated to the question about drawing three numbers whose sum is 13.

The truth or falsity of the statement does not affect the calculation of the number of ways three numbers can be drawn with a sum of 13.

To determine the number of ways three numbers can be drawn with a sum of 13, we can use a combinatorial approach. We need to find the number of combinations of three numbers from the set {1, 2, 3, ..., 10} that add up to 13. This can be done by considering different cases and using combinations or counting techniques.

Note: If you have any further questions regarding the cost and revenue functions or any other topic, please let me know, and I'll be happy to assist you.

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The possible change in volume (in mm3) resulting from the error in measuring the radius is 32. 06 mm³

Given,

A spherical golf ball is measured to have a radius of $$5 mm, with a possible measurement error of $$0.1 mm

How to determine the volume

The formula for volume of a sphere is expressed by;

Volume = 4/3 πr³

Where;

r is the radius of the sphere

pi takes the value 3.14

From the information given, we have that the measured radius is 5 mm, with a possible measurement error of 0.1 mm

Then, radius  a = 5mm

Radius b = 5 + 0. 1 = 5. 01mm

Now, substitute the values into the formula

Volume, v = 4/ 3 (3.14)(5)³

v = 4/ 3 (392.5)

v = 523. 3 mm³

For radius of 5.01mm

Volume =  4/ 3 (3.14)(5.1)³

expand the bracket

Volume = 4/3 (416.52)

Volume = 555. 4 mm³

The change in volume = 555. 4 - 523. 3 = 32. 06 mm³

Hence, the change in volume is 32. 06 mm³

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Answer:

x< 1/2 is the answer

In order to determine how much does Allison pay for her utilitites, it is only necessary to calculate the percentage associated to utilities, given in the table (2.3%) of the Allison's earns ($6,500).

For calculating the 2.3% of 6,500, you simply multiply (2.3/100) by 6,500, just as follow:

(2.3/100)(6,500) = 149.5

Then, the 2.3% of $6,500 is $149.5. Hence, Allison pay $149 for her utilities

Mike is 40 years old now.

Let Al's age be x years. According to the problem statement,

Al was 2 years old 8 years ago.

Therefore, Al's present age is:x + 8 years

Now, Mike is 4 times older than Al. That is, the age of Mike is 4(x + 8) years.

Mike is now 4 times older than Al, if Al was 2 years old 8 years ago, then Mike is 36 years old now.

In order to verify the solution, you can use a direct method of substitution.

If Al's present age is x + 8, then his age 8 years ago was x + 8 - 8 = x.

Since Al was 2 years old 8 years ago, we have:x = 2

Therefore, Al's present age is:x + 8 = 2 + 8 = 10 years

Now, Mike is 4 times older than Al.

Therefore, Mike's age is 4 × 10 = 40 years.

This is consistent with the original statement that "Mike is now 4 times older than Al if Al was 2 years old 8 years ago".Therefore, Mike is 40 years old now.

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Answer: y = -1/3x + 17/3

Step-by-step explanation:

Hey there! I will be showing and giving the formula/steps to solve this problem. If there are any questions then feel free to ask in the comments.

Formula: y = mx + b

Step 1 - Find M

m = (6 - 4) / (-1 - 5) = -2/6 = -1/3

The m is the slope.

Step 2 - Use (5, 4) to find point B

y = -1/3x + b

4 = 1/3 * 5 + b

b = 17/3

Answer: y = -1/3x + 17/3

You will plugin 4 for y and b is the intercept.

~I hope I helped you :)~

The mean and variance of the number of accepted applications by the banker in a day are 10 and 7.5 respectively.

Given that a banker reviews 40 loan applications a day and the acceptance rate of a loan application is 25%. We have to find the mean and variance of the number of accepted applications by the banker in a day.

Let X be the random variable that represents the number of applications accepted by the banker in a day. As given, the acceptance decision is independent across applications.

The probability of accepting a loan application is 0.25. Then, the probability of rejecting the loan application is 1 - 0.25 = 0.75.

We know that mean of a binomial distribution with parameters n and p is given by μ = np and the variance is given by σ^2 = np(1 - p).

Therefore,

Mean:

μ = np

Where n = 40 and p = 0.25

μ = 40 * 0.25

μ = 10

Variance:

σ^2 = np(1 - p)

Where n = 40 and p = 0.25

σ^2 = 40 * 0.25 * (1 - 0.25)

σ^2 = 7.5
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a) The probability that he receives no job offers is given as follows: 0.0001.

b) The probability that he receives at least one job offer is given as follows: 0.9999.

c) The expected number of job offers is given as follows: 5.6.

The mass probability formula for the number of successes x in n trials is defined by the equation presented as follows:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters, along with their meaning, are presented as follows:

The parameter values for this problem are given as follows:

n = 8, p = 0.7.

Hence the expected value is given as follows:

E(X) = np = 8 x 0.7 = 5.6.

The probability of no offers is:

\(P(X = 0) = (1 - 0.7)^8 = 0.0001\)

Hence the probability of at least one job offer is given as follows:

1 - P(X = 0) = 1 - 0.0001 = 0.9999.

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The correct answer is (d) The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.

When the value of a public good cannot be expressed in monetary terms, the Samuelson condition still holds, but some modifications are required. In this case, the per-unit price (p) used in the Samuelson condition needs to be replaced with a relative price, which represents the trade-off between the public good and other goods or services. Additionally, the marginal values (MV) of the public good need to be replaced with the Marginal Rates of Substitution (MRS), which measure the rate at which one person is willing to substitute the public good for another good.

Therefore, to determine the efficient level of the public good, the modified Samuelson condition uses a relative price and the corresponding Marginal Rates of Substitution.

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Let's assume the number of boys in Stephen's class is B. According to the given information, the number of girls in the class exceeds the number of boys by 8. Therefore, the number of girls would be B + 8.

The total number of pupils in the class is given as 36. We can write this as an equation:

B + (B + 8) = 36

Simplifying the equation, we have:

2B + 8 = 36

2B = 36 - 8

2B = 28

B = 28/2

B = 14

So, there are 14 boys in Stephen's class. Since the number of girls exceeds the number of boys by 8, the number of girls would be 14 + 8, which is equal to 22.

Therefore, there are 14 boys and 22 girls in Stephen's class.

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Step-by-step explanation:

-9.382649173.62 if you do the math

Answer:

I'm not sure what answer your looking for exactly

Step-by-step explanation:

3(-3x+9x+30x) -3x³ -18²(-24x) combine like terms

3+12x-3x³-18x² subsitute x

-4: 3+(-4)-( -1728)-( -5184)=6867

-2: 3+(-24)-(216)-1296)=-1533

0: 3

Answer:

pls ask in english pls ok tell in english

The result is assigned tο variable x, sο the value stοred in x is 3.

The value stοred in x can be determined by evaluating the expressiοn οn the right-hand side οf the assignment statement.

Given the statement int x; x = 3 /static_cast<int>(1.5 + 2.4), the expressiοn inside the static_cast is evaluated first:

1.5 + 2.4 = 3.9

Then, the result οf the expressiοn is cast tο an int using static_cast<int>. This perfοrms a static cast, cοnverting the flοating-pοint value tο an integer by truncating the decimal pοrtiοn:

static_cast<int>(3.9) = 3

Finally, the result is assigned tο x, sο the value stοred in x is 3.

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To estimate the quotient of 3,780/90 using compatible numbers, we can round 3,780 to 3,800 and 90 to 100. Then we can divide 3,800 by 100, which gives us an estimate of 38 for the quotient.

This estimate will be a slight overestimate because we rounded up both numbers to the nearest hundred. However, since we rounded the dividend up by a larger amount than the divisor, the quotient will be slightly higher than if we had used the original numbers.
Using compatible numbers to estimate a quotient can be a helpful strategy when solving division problems. It involves rounding the numbers to simpler values that are easier to work with mentally, then performing the division operation using those simplified values. While the estimate may not be exact, it can give a sense of what the answer should be and help catch errors in more complicated calculations.

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12y = 4x + 8

A = 12y -4x + 8

B = 8yx = 8

C = yx =8/8

=yx = 1

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.