Questions

Sketch the region enclosed by x y 20 and x y Decide whether to integrate with respect to x or y Then find the area of the region 204 8

Determine whether the integral is divergent or convergent If it is convergent evaluate it If not state your answer as divergent 8 4t tdt

5 Verify that f and g are inverses f x x 7 g x 2x 14

Determine whether the integral is divergent or convergent If it is convergent evaluate it If not state your answer as divergen 9x2 dx 1 x6

15 A road construction company is considering the purchase of a new bulldozer They can purchase one for 380 000 if they pay in one installment Or they can pay 120 000 every quarter for one year Compute the effective annual rate of interest for the quarterly payment Use incremental IRR analysis to solve Fill in the incremental difference table below then calculate the incremental IRR Quarter Annual payment Qtrly payment Incremental diff annual qtriy 0 1 PV PMT

Determine whether the integral is divergent or convergent If it is convergent evaluate it If not state your answer as divergent 00 xe dx

2 5 2 1 1 2 N 3 7 8 6 Based on the graph above determine the amplitude midline and period of the function Amplitude Period

You have 5 000 in the bank comfortably earning 48 interest compounded monthly Your cousin needs 5 000 to buy a new car In order to get the same total return what interest rate r should you request from her if the money you lend her is to be compounded continuously Exact Interest rate without using a calculator r 48 Interest rate as a percent rounded to 2 decimal places 48

Patricia will draw 8 cards from a standard 52 card deck with replacement Which of the following are not events in this experiment Select all that apply Select all that apply drawing 8 hearts drawing 8 cards drawing 1 card

What is one reason arteries can withstand higher blood pressure than veins Arteries contain only oxygenated blood Arteries have thick walls that contain layers of muscle and connective tissue Arteries contain all types of blood cells whereas veins contain only erythrocytes Arteries have one way valves to prevent blood from flowing bacloud PL

Figure 39 1 Which area in Figure 39 1 indicates a complete sarcomere 3 2 4 5

5x List all points on the graph of y tan x on the interval 2 that have a y coordinate of 3 2

e top of a ladder slides down a vertical wall at a rate of 0 675 m s At the moment when the bottom of the ladder is 6 m from the wall it slides away from the wall at a rate of 0 9 m s How long is the lad

wo sides of a triangle have lengths 11 m and 18 m The angle between them is increasing at a rate of 2 min How fast is the length of the third side increasing when the angle between the sides of fixed length is 60 Round your answer to three decimal places m min

EXAMPLE 5 A man walks along a straight path at a speed of 5 ft s A searchlight is located on the ground 12 ft from the path and is kept focused on the man At what rate is the searchlight rotating when the man is 5 ft from the point on the path closest to the searchlight SOLUTION We draw the figure to the left and let x be the distance from the man to the point on the path closest to the searchlight We let be the angle between the beam of the searchlight and the perpendicular to the path We are given that dx dt 5 ft s and are asked to find de dt when x 5 The equation that relates x and 0 can be written from the figure X tan 0 x tan 0 Differentiating each side with respect to t we get SO dx dt de dt de dt dx dt 5 When x 5 the length of the beam is 13 so cos 0 12 and 13 de dt The searchlight is rotating at a rate of rad s

Gravel is being dumped from a conveyor belt at a rate of 15 ft3 min and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal How fast is the height of the pile increasing when the pile is 13 ft high Round your answer to two decimal places x ft min

Two cars start moving from the same point One travels south at 48 mi h and the other travels west at 20 mi h At what rate is the distance between the cars increasing two hour

A baseball diamond is a square with side 90 ft A batter hits the ball and runs toward first base with a speed of 28 ft s 90 ft a At what rate is his distance from second base decreasing when he is halfway to first base Round your answer to one decimal place ft s b At what rate is his distance from third base increasing at the same moment Round your answer to one decimal place ft s

potlight on the ground shines on a wall 12 m away If a man 2 m tall walks from the spotlight toward the building at a speed of 1 3 m s how fast is the length of his shadow on the building decreasing when he is 4 m from building Round your answer to one decimal place x m s

Process oriented layout Deals with low volume high variety production also called job shop or intermittent production True False Question 14 4 points The following statement describes Materials are moved directly from receiving to shipping and are not placed in storage in the warehouse A Cross Docking B Picking from a bin location C Bot A and B

Where in the body of the Daphnia is the heart located Near the midgut In the tail Adjacent to the second antenna The posterior portion of the body

Compound Interest Course Packet on accumulated amount examples Suppose 2 000 is invested at 7 compounded continuously a What will the accumulated amount be after 2 years Exact accumulated amount without using a calculator dollars Accumulated amount rounded to 2 decimal places dollars b How much interest accrued during the 2 years Interest rounded to 2 decimal places dollars

2 Two children are playing with a ball The girl throws the ball to the boy The ball travels in the air curves 3m to the right and falls 5m away from the girl as shown below If the plane that contains the trajectory of the ball is perpendicular to the ground find its equation 5m

ement of the progress bar may be uneven because questions can be worth more or less including zero depending on your answer Which of the writing prompts below calls for an evaluative thesis O Analyze the roles of exercise and diet in a healthy lifestyle O Compare and contrast the costs and savings of buying and renting a home O Use Shakespeare s plays to argue whether comedy or drama stands the test of time better Compare and contrast vegetarian and vegan diets and summarize their nutritional concerns

Math 1 Course Resources Compound Interest Course Packet on present value problems with discrete compounding of interest A favorite uncle wishes to establish a trust fund for his niece s math education How much should he set aside now he wants 30 000 in 7 years from now and interest is compounded quar 8 Exact amount without using a calculator Amount rounded to 2 decimal places dollars dollars

Determine the interest rate r needed for an investment to double in value in 9 years if interest is compounded continuously Exact interest rate without using a calculator r Interest rate as a percent rounded to 2 decimal places

How long does it take for an investment earning interest at a rate of 14 compounded continuously to double in val Exact length of time without using a calculator t years Length of time rounded to 2 decimal places years

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3 In mice dwarfism is caused by an X linked recessive allele and the pink coat is caused by an autosomal dominant allele Coats are normally brownish Suppose a dwarf brown female from a pure breeding line is crossed with a normal sized pink male from a pure breeding line What are the genotypes of the parental mice Define your own gene and allele symbols What will the predicted phenotypic ratios be in the F1 generation for each sex

omplete the following table where x represents the number of years The first row is finished for you Round the decay factor to four decimal places Function y 300 300 4 300 y 300 y 6 5 107 where n 107 T where Decay Factor a where y Ca Half life in Years a 0 8706 5 years i 3 years 90 years

n The number of hours of reserve capacity of 10 randomly selected automotive batteries is shown to the right 1 71 1 88 1 54 1 63 1 71 1 96 1 34 1 58 1 41 2 06 Assume the sample is taken from a normally distributed population Construct 80 confidence intervals for a the population variance o and b the population standard deviation o a The confidence interval for the population variance is 0 033 0 116 Round to three decimal places as needed Interpret the results Select the correct choice below and fill in the answer box es to complete your choice Round to three decimal places as needed OA With 20 confidence it can be said that the population variance is between and OC With 80 confidence it can be said that the population variance is less than B With 80 confidence it can be said that the population variance is between 0 0330 and 0 116 OD With 20 confidence it can be said that the population variance is greater than b The confidence interval for the population standard deviation is Round to three decimal places as needed

Question Fully simplify Answer Attempt 2 out of 2 2 2 2 6 T x2 x 2 4 x25x 6 Submit Answer

As part of a survey a marketing representative asks a random sample of 29 business owners how much they would be willing to pay for a website for their company She finds that the sample standard deviation is 3342 Assume the sample is taken from a normally distributed population Construct 99 confidence intervals for a the population variance o and b the population standard deviation Interpret the results a The confidence interval for the population variance is 6 132 777 25 096 105 Round to the nearest integer as needed Interpret the results Select the correct choice below and fill in the answer box es to complete your choice Round to the nearest integer as needed A With 99 confidence you can say that the population variance is between 6132777 and 25096105 OC With 1 confidence you can say that the population variance is less than B With 99 confidence you can say that the population variance is greater than OD With 1 confidence you can say that the population variance is between and b The confidence interval for the population standard deviation is Round to the nearest integer as needed

The diameters in inches of 17 randomly selected bolts produced by a machine are listed Use a 95 level of confidence to construct a confidence interval for a the population variance o and b the population standard deviation Interpret the results 4 476 4 414 4 008 4 363 4 002 3 765 3 825 3 762 4 244 3 945 4 127 4 552 3 959 3 759 3 877 3 838 4 464 a The confidence interval for the population variance is 0 044 0 182 Round to three decimal places as needed Interpret the results Select the correct choice below and fill in the answer box es to complete your choice Round to three decimal places as needed OA With 95 confidence it can be said that the population variance is greater than OC With 95 confidence it can be said that the population variance is between and B With 5 confidence it can be said that the population variance is less than OD With 5 confidence it can be said that the population variance is between and

b Convert the equation to vertex form algebraically using complete the square method Write the equation using function notation c Describe the transformations applied to y x2 to get the resulting equation Task 3 Analyzing the situation a Determine the zeros algebraically and explain what these mean for b Determine the vertex and explain what this means for your situation your situation

2 Find the critical values X and X for the given confidence level c and sample size n c 0 80 n 17 XR XL 23 542 Round to three decimal places as needed Round to three decimal places as needed

In which quadrant do each of the following angle lie is in Quadrant 5 is in Quadranti

Given the initial and terminal sides find the following 20 A positive angle measure between 0 and 360 A negative angle measure between 360 and 0 The first positive angle measure greater than 360

Match each trigonometric ratio with its reciprocal ratio tan sin Cos POSSIBLE POINTS

Consider the following relation Find four points contained in the inverse Express your values as an integer or simplified fraction Answer y 3x 4

Find the area of a triangle with the given description Round your answer to one decimal place a triangle with sides of length 14 and 24 and included angle 19dea

29 What was Dennis s plan when he told Jeremiah to unbuckle himself a To fight Anna b To hide from Anna c To run away from Anna d To stay near the truck

O Increased secretion of mucous 10 1 point Which of the following mutations would prevent neutrophils PMNs from migrating from the blood stream to infected tissues Select all that apply 0000 A mutation in junctions between endothelial cells that makes them more permeable A mutation in cytokine receptors on endothelial cells that renders them non functional A mutation that changes the pH of neutrophil lysosomes A mutation in adhesion molecules or selectins on blood vessel walls that prevents neutrophil binding 11 1 point A typical IgG antibody Select all that apply Has an Fab region that binds to antigens Has 2 chains one heavy chain and one light chain Is Y shaped Has an Fc region that binds to phagocyte

Use technology to construct the confidence intervals for the population variance o and the population standard deviation Assume the sample is taken from a normally distributed population c 0 95 s 9 61 n 29 The confidence interval for the population variance is Round to two decimal places as needed

A magazine includes a report on the energy costs per year for 32 inch liquid crystal display LCD televisions The article states that 14 randomly selected 32 inch LCD televisions have a sample standard deviation of 3 48 Assum the sample is taken from a normally distributed population Construct 99 confidence intervals for a the populatio variance o and b the population standard deviation o Interpret the results a The confidence interval for the population variance is Round to two decimal places as needed

Find the critical values and R for the given confidence level c and sample size n c 0 99 n 26 XL Round to three decimal places as needed

The waiting times in minutes of a random sample of 20 people at a bank have a sample standard deviation of 4 7 minutes Construct a confidence interval for the population variance o and the population standard deviation Us a 90 level of confidence Assume the sample is from a normally distributed population What is the confidence interval for the population variance o Round to one decimal place as needed

In a random sample of 8 people the mean commute time to work was 34 5 minutes and the standard deviation was 7 2 minutes A 98 confidence interval using the t distribution was calculated to be 26 9 42 1 After researching commute times to work it was found that the population standard deviation is 8 8 minutes Find the margin of error and construct a 98 confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known Compare the results The margin of error of is Round to two decimal places as needed

Fever Pain Swelling Redness 6 1 point Which of the following statements is correct 0000 Pyrogens on pathogens bind to PRRS on phagocytic white blood cells WBCs PAMPS on pathogens bind to PRRS on phagocytic white blood cells WBCs Pyrogens on phagocytic white blood cells WBCs bind to PRRs on pathogens PAMPS on phagocytic white blood cells WBCs bind to PRRS on pathogens 7 1 point Compound X is a small peptide When Compound X is released by cells it leads to increased blood flow and increased vascular permeability Compou X is most likely a Antimicrobial peptide AMP Chemokine Pro inflammatory molecule Acute phase protein

Match the component of the lymphatic system with its function Site where T cells mature Site where B cells originate and mature Break down old blood cells and store components Lymph filters that clean lymph Thymus Spleen Lymph node Red bone marrow