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It costs $12.99 to print 20 resumes.  Every 10 more resumes cost $3.  Write a piecewise function for the cost of the resumes, r(x).  How much does it cost produce 60 resumes?

Let f be a differentiable function such that f(8)=2 and f′(8)=5. If g is the function defined by g(x)=f(x)x3, what is the value of g′(8) ?

Please help me answer this question

Market demand is given as Qd = 200 – 4P. Market supply is given as Qs = 6P. What would result if the market price were $30

Carter and Isabella run a carwash business. They split the revenue 50/50. They are deciding on if they should join forces with Carla's carwash.

If they join with Carla, the combined carwash will make $2400 more per month, but they'll have to split revenue equally (33.3/33.3/33.3).

On an average month, Carter and Isabella's carwash makes $6000.

How much more or less would Carter or Isabella individually make if they merged with Carla's carwash?This question is required.*

Given the demand and supply functions for two commodities, commodity X and Y determine the equilibrium price Px and Py and quantities QX and QY?

Qdx = 18-3Px+Py Qdy=12+8Px-2Py

Qdx= -3+4Px+3Py QSy=-2+3Py+Px.

Find the general solution to the linear first order differential equation 

Find the solution to the differential equation  with initial condition 𝑦(1)=0,

Show your work.

Show your work.

Show your work.

Solve the following integral: ∫(2x^3 + 5x^2 - 3x + 4) dx

Remember to use the power rule for integration and follow the steps to find the antiderivative of the function.

Please help me with the graph

I need help

Which is the graph of linear inequality 6x + 2y > –10?

Is anyone able to help me?

Pre-calc plz answer

2. Find the equation of the tangent to the curve at the point where x=2. [4 marks]

Assume that adults have IQ scores that are normally distributed with a mean of 103.7 and a standard deviation of 19 find the first quartile which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)

The first quartile is ______

 (Type an integer or decimal rounded to one decimal place as needed.) 

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

The area of the shaded region is _____. (Round to four decimal places as needed.)

The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a standard deviation of 8.3 cm.

a. Find the probability that an individual distance is greater than 214.80 cm.

b. Find the probability that the mean for 20 randomly selected distances is greater than 203.70 cm.

c. Why can the normal distribution be used in part b, even though the sample size does not exceed 30?

a. The probability is ____.

(Round to four decimal places s needed.)

b. The probability is ____.

(Round to four decimal places as needed.)

c. Choose the correct answer below.

◯ A. The normal distribution can be used because the original population has a normal distribution.

◯ B. The normal distribution can be used because the finite population correction factor is small.

◯ C. The normal distribution can be used because the mean is large

◯ D. The normal distribution can be used because the probability is less than 0.5

Find the areas of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

The area of the shaded region is _____.

(Round to four decimal places as needed.)

Answer number 6 in this picture

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Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. The results in the screen display are based on a 95% confidence level. Write a statement that correctly Interprets the confidence interval.

Tinterval

(13.046,22.15)

x= 17.598

Sx= 16.01712719

n = 50

Choose the correct answer below.

O A. We have 95% confidence that the limits of 13.05 Mbps and 22.15 Mbps contain the true value of the mean of the population of all data speeds at the airports

O B. The limits of 13.05 Mbps and 22.15 Mbps contain 95% of all of the data speeds at the airports.

O C. We have 95% confidence that the limits of 13.05 Mbps and 22.15 Mbps contain the sample mean of the data speeds at the airports.

O D. The limits of 13.05 Mbps and 22.15 Mbps contain the true value of the mean of the population of all data speeds at the airports.

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In a test of the effectiveness of garlic for lowering cholesterol, 49 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes (before - after) in their levels of LDL cholesterol (in ma/dL) have a mean of 5.2 and a standard deviation of 16.5. Construct a 90% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol?

Click here to view at distribution table.

Click here to view page 1 of the standard normal distribution table.

Click here to view page 2 of the standard normal distribution table.

What is the confidence interval estimate of the population mean u?

mg/dL <p< ma/dL

(Round to two decimal places as needed.)

What does the confidence interval suggest about the effectiveness of the treatment?

A.. The confidence interval limits contain 0, suggesting that the garlic treatment did affect the LDL cholesterol levels.

B. The confidence interval limits do not contain 0, suggesting that the garlic treatment did affect the LDL cholesterol levels.

O C. The confidence interval limits do not contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.

• D. The confidence interval limits contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.

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65. For this dataset, what is the correlation coefficient (r)?

66. What is the regression equation for this dataset?

67. Based on the model (i.e. the regression equation) you just made, predict the perceived pleasantness score for a person who has a percent occupancy score of 70.

A math problem

Find y' if y= x^2x

Please help

Below is the graph of a function y = f(x). Fill in the chart with POS, NEG or 0

to indicate whether f, f' and f" are positive, negative or zero at each of the indicated points A, B,C and D. (One point for each entry in first column and two points for each entry in 2nd and 3rd columns