Math - Others Questions

Given the Initial Value and Rate of Change write the exponential function for each of the following Initial Value 131 626 2166 2233 2996 4924 Rate Growth Rate 16 Growth Rate 6 Growth Rate 7 5 Growth Rate 116 Decay Rate 26 Decay Rate 3 f x f x f x f x f x f x Function

pts ILS The graph of the function f x e 4 can be obtained from the graph of g x e by one of the following actions a reflecting the graph of g x in the x axis b reflecting the graph of g x in the y axis your answer is input a or b then by one of the following actions a shifting the resulting graph to the right 4 units b shifting the resulting graph to the left 4 units c shifting the resulting graph upward 4 units d shifting the resulting graph downward 4 units Your answer is input a b c or d Is the domain of the function f x still Your answer is input Yes or No The range of the function f x is A the value of A is

11 5 points A wire bolted to the ground 16 feet away from the base is helping a tree stay upright If the angle of elevation of the wire is 44 how long is the wire Round your answer to the nearest tenth

0 R G B K If all the graphs above have equations with form y ab Which graph has the largest value for b Select an answer Which graph has the smallest value for b Select an answer

0 10 pts 399 Details Find an equation for the graph sketched below 5 4 3 2 1 f x 8 7 6 5 4 3 2 7 2 3 4 5 6 7 8 1 2 3 4 5

0 10 pts 399 Details The graph below shows a 5 4 3 2 5 A 3 2 1 2 3 4 5 1 transformation of y 2 2 3 4 5 Write an equation of the form y A 2 k for the graph above

0 10 pts 399 Details B R Match each equation with a graph above I y 27 Y 2 x 2x G y 2x y 2 x a orange 0 b green G c blue B d red R

129 What is the value of y shown in the diagram below M A 8 B 9 C 12 D 15 E none of the above 6 E 3 A X y N

13 oints a Sales and production data for these first two years follow Units Units produced Units sold Year 1 51 000 30 000 Year 2 51 000 72 000 Direct materials Direct labor Variable overhead Fixed overhead 459 000 51 000 units Total product cost per unit b Variable costs per unit and fixed costs per year are unchanged during these years The company s 49 per unit product cost using absorption costing consists of the following 14 21 5 9 49 c Selling and administrative expenses consist of the following Selling and Administrative Expenses Variable selling and administrative 1 per unit sold Fixed selling and administrative Total Required Prepare income statements for each of these two years under variable costing Note Loss amounts should be entered with a minus sign indicate completion Year 1 30 000 245 000 275 000 Return to question Year 2 72 000 245 000 317 000

4 Answer the questions for the rooted tree 1 point each m h n P a Find the children of d b Find the parent of h c Find the descendants of c d Find the ancestors of j e Find the siblings of f f Find the terminal vertices

6 3 points Sunn Company manufactures a single product that sells for 104 per unit and whose variable costs are 127 per unit The company s annual fixed costs are 622 000 The sales manager predicts that next year s annual sales of the company s product will be 39 200 units at a price of 192 per unit Variable costs are predicted to increase to 132 per unit but fixed costs will remain at 622 000 What amount of income can the company expect to earn under these predicted changes Prepare a contribution margin income statement for the next year Answer is complete but not entirely correct SUNN COMPANY Contribution Margin Income Statement por Sales Variable costs Contribution margin Fixed costs Income Units unit 192 132 132 X 39 200 39 200 39 200 Return to question 7 526 400 5 174 400 2 352 000 622 000 2 974 000

this question below Every cereal box has a gift inside but you cannot tell from the outside what the gift is The store manager assures you that 17 of the 58 boxes on the shelf have the secret decoder ring The other 41 boxes on the shelf have a different gift inside If you randomly select two boxes of cereal from the shelf to purchase what is the probability that BOTH of them have the secret decoder ring Give answer as a decimal correct to at least three decimal places probability 1 375 X

0 1 pt 399 Details Suppose that 39 of students in a college have a smart phone If you select three students at random what is the probability that all three have a smart phone Write the probability as a decimal rounded to three decimal places NOTE

Extra Credit 8 How high can you go using i s 2 4 7 1 7 4 2 3 2 1 214 2 2 3 7 4 3 D5 7 4 2 5 6 4 2 6 7 7 8 4x2 8 9 7 2 9 10 7 2 4 14 4 10 11 7 4 11 12 7 2 14 14 2 12 13 7 4 2 11 2 13 14 7 4 2 28 2 14 15 2x4 7 8 7 15 16 4 161 17 24 7 17 18 72 4 18 19 41 7 2 24 7 17 2 19 201 21 22 41 2 24 2 22 23 27 4 23 24 7x4 2 28 2 24 25 72 4 49 24 25 26 41 2 24 2 26 27 27 28 7x4 28 32 27 4 128 4 32 72 49 74 2401 4 16 27 128 47 16384 214 4 4 2 47 74 42 742 24 42 2772 a 41 7 2 24 7 31 2 29 12 30 7 5040 41 24 21 2 16384 128 2401 49 149 7 80 4

A record club has found that the marginal profit P x in cents is given by P x 0 0006x 0 20x 43 9x for x 300 where x is the number of members currently enrolled in the club Approximate the total profit when 180 members are enrolled 6 by computing the sum P x Ax with Ax 30 i 1 The total profit when 180 members are enrolled is approximately Round to the nearest cent as needed Marginal profit in cents 16 000 P x 0 0006x3 0 20x2 43 9x 12 800 9 600 6 400 3 200 04 0 TIV V VI 100 200 Number of members 300

A 6 00 ft tall man walks at 5 00 ft s toward a street light that is 16 0 ft above the ground At what rate is the end of the man s shadow moving when he is 6 0 ft from the base of the light Use the direction in which the distance from the street light increases as the positive direction The end of the man s shadow is moving at a rate of Round to two decimal places as needed ft s

0 1 pt 3 Details A jury pool consists of 25 people 14 men and 11

0 1 pt 3 Details You have a 20 sided dice Your friend Ayden has three favorite numbers 8 4 and 12 What is the probability that you roll one of his favorite numbers Enter your answer as a fraction

0 1 pt 3 Details An actuary studied the likelihood that different types of drivers have at least one collision during any one year period The results of the study appear below Type Teen Young adult Middle aged adult Senior Percentage 13 19 56 12 Collision 16 7 6 8 Find the probability that a driver with at least one collision in the past year is a Middle aged adult driver

POPULATION PYRAMID Age Groups 95 9 185 905 180 847 126 29 70 741 23 34 25 29 20 24 15 19 10 14 0 4 12 84 4 Percent of Total Population Female 0 12 Percent of Total Population The population pyramid shown represents a location that has been affected by human migration a Explain why the population shown in the pyramid might have this particular age structure Positive to attract People from other areas b Describe ONE cultural pull factor that would motivate a female migrant from a rural area to move to an urban area in a very distant location c Explain ONE reason why the female population aged 15 to 29 might be larger than the male population aged 15 to 29 d Explain ONE limitation of the population pyramid in illustrating the spatial pattern of migration in this location

Consider this equation 2 7 3 x 1 Approximate the solution to the equation using three iterations of successive approximation Use the graph as a starting point y 4 8 6 4 SOA I OB I 2 27 8 6 2 19 4 6 6 8 X

question below If you randomly select a letter from the phrase Robert likes to eat tacos at Chipotle what is the probability that you select a consonant Your answer must be in the form of a reduced fraction Enter a reduced fraction or integer no mixed numbers more Question Help Message instructor n Check Answer asic ABC 7 8 9

A bag contains 2 gold marbles 8 silver marbles and 21 black marbles Someone offers to play this game You randomly select one marble from the bag If it is gold you win 3 If it is silver you win 2 If it is black you lose 1 What is your expected value if you play this game

5 Select the correct answer Jacob is solving the equation below using successive approximations 2 4 3 2 He started from a graph where he found the solution to be between 1 and 2 Using the lower and upper bounds from the graph Jacob did the following work for the first iteration Step 1 Step 2 Step 3 Step 4 Step 5 Rewrite the equation so that it equals zero on one side 2 4 3 2 2 4 3 2 0 Evaluate the rewritten equation at the lower and upper bounds To find the solution that lies between 1 and 2 set these values as the lower and upper bounds while finding the solution 20 4 3 2 0 333 22 4 3 2 2 1 889 Take the average of the lower and upper bounds 1 2 2 1 2 4 3 2 0 636 Evaluate the rewritten equation at z Since this value is positive replace the previous lower bound so that and z 2 the bounds are now z

3 Select the correct answer from the drop down menu Consider the equation and the graph 3 1 6 4 2 8 6 4 y 2 2 6 8 0 2 74 F6 8 X The approximate solution to the given equation after three iterations of successive approximations is when

0 4 pts 3 Details A certain disease has an incidence rate of 0 9 If the false negative rate is 4 and the false positive rate is 1 compute the probability that a person who tests positive actually has the disease Give your answer accurate to at least 3 decimal places

A jury pool consists of 25 people 13 men and 12 women Compute the probability that a randomly selected jury of 12 people is all male

Select the correct location on the table Consider the following equation Which row in the table is closest to the actual solution H 0 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 22 3 4 2 0 9 10 2 3 17321 17889 18439 18974 19494 2 2 0494 2 0976 2 1448 2 1909 2 2361 5 2 2 2 0195 2 0385 2 0566 2 0741 2 0909 2 1071 2 1228 2 1379 2 1525 2 1567

A coffee company has found that the marginal cost in dollars per pound of the coffee it roasts is represented by the function below where x is the number of pounds of coffee roasted Find the total cost of roasting 210 lb of coffee disregarding any fixed costs C x 0 016x 7 75 for x 400 The total cost is Round to the nearest cent as needed

Giving a test to a group of students the grades and gender are summarized below A B Male 5 16 12 18 19 Total 12 34 31 C Total 33 44 77 Female 7 If one student is chosen at random Find the probability that the student was female OR got an C

If you pull a card from a well shuffled deck what is the probability that you get a heart or a black card Enter your answer as a fraction

Suppose you reach into your mailbox that contains 5 pieces of junk mail 4 letters and 1 magazine Assuming you can t feel the difference between the types of mail what is the probability that you select either a letter or the magazine Enter your answer as a fraction

Calculate 4 4i Give your answer in a bi form

Calculate 1 4i 7 Give your answer in a bi form

Calculate 6 9i Give your answer in a bi form Give the solution with smallest positive angle Round both a and b to 2 decimal places

Calculate 3 4i Give your answer in a bi form and please show your answers to 2 decimal places if necessary

Write a polar equation for the graph below Enter theta for 0 if needed 6 T 0 16 3 324 654 3 2 1 123 2 3 4 9 5 1 2 3 4 5 6

K Use a standard normal distribution table to find the percent of the total area under the standard normal curve between the following z scores z 1 6 and z 0 65 Click the icon to view the standard normal distribution table The percent of the total area between z 1 6 and z 0 65 is Round to the nearest integer

47 15 3 B Bo a Find the missing Angle B Round to the 16 7 Not to Scale

Anormal distribution has a mean of 20 and a standard deviation of 5 Use the 68 95 99 7 rule to find the percentage of values in the distribution between 20 and 35 What is the percentage of values in the distribution between 20 and 35 Save

D of 3 pped Book Hint Print lerences The following information applies to the questions displayed below Hudson Company reports the following contribution margin income statement HUDSON COMPANY Contribution Margin Income Statement For Year Ended December 31 Sales 10 200 units at 225 each Variable costs 10 200 units at 180 each Contribution margin Fixed costs Income If the company raises its selling price to 240 per unit 1 Compute Hudson Company s contribution margin per unit 2 Compute Hudson Company s contribution margin ratio 3 Compute Hudson Company s break even point in units 4 Compute Hudson Company s break even point in sales dollars 1 Contribution margin 2 Contribution margin ratio 3 Break even in units 4 Break even sales dollars 2 295 000 1 836 000 459 000 360 000 99 000 per unit units

7 Cost Volume Profit Analysis Assig i Check my work mode This shows what is correct or incorrect for the work you have completed so far It does not indicate com Resu Finanu Finan Refur Home B BMT con external browser 0 launchUrl https 253A 252F 252Flms mheducation G Google G Google G Google MB Body Con Dre Learning to Read f W Wikipedia Yah Sales Fixed costs Income 1 Compute the amount of expected total dollar sales 2 Compute the amount of expected total variable costs Saved Bloom Company predicts it will incur fixed costs of 259 000 and earn income of 493 100 in the next period Its expected contribution margin ratio is 69 Complete this question by entering your answers in the tabs below Required 1 Required 2 Compute the amount of expected total variable 493 100 Answer is complete but not entirely correct 5 Help Save a Return to

S Book Print erences A manufacturer reports direct materials of 5 per unit direct labor of 2 per unit and variable overhead of 3 per unit Fixed overhead is 120 000 per year and the company estimates sales of 12 000 units at a sales price of 25 per unit for the year The company has no beginning finished goods inventory 1 If the company uses absorption costing compute gross profit assuming a 12 000 units are produced and 12 000 units are sold and b 15 000 units are produced and 12 000 units are sold 2 If the company uses variable costing how much would contribution margin differ if the company produced 15 000 units instead of producing 12 000 Assume the company sells 12 000 units Hint Calculations are not required Complete this question by entering your answers in the tabs below Required 1 Required 2 If the company uses absorption costing compute gross profit assuming a 12 000 units are produced and 12 000 units are sold and b 15 000 units are produced and 12 000 units are sold Gross profit a 12 000 Units Produced and 12 000 Units Sold b 15 000 Units Produced and 12 000 Units Sold

Verify the identity 2 CSC x cot x 1 2 cot x Which of the following four statements establishes the identity O A csc 2 x cot x 1 cot2x cot x 1 2 cot x OB csc x cot x cot2x 1 cot x 1 2 cot x OC csc X cot x 1 cot x cot x 1 2 cot x OD csc x cot x 1 1 2 cot x

Prove the given identity sec 0 OA sec 0 1 sec 0 Choose the correct proof below B sec 0 OC sec 0 OD sec 0 tan 0 sin 0 1 sec 0 1 sec 0 1 sec 0 1 sec 0 1 cos 8 1 cos 0 1 cos cos cos cos 1 cos 0 cos 8 sec 0 cos 1 cos 0 2 2 1 cos 0 cos 0 2 COS 0 cos 0 1 1 cos 2 0 cos 2 sin 0 cos cos 0 2 sin 0 sin 0 cos 0 cos 2 sin 0 tan sin 0 tan 0 sin 0 tan 0 sin 0 tan sin 0

Factor and simplify sin x sin x cot x Choose the correct simplification below O A csc X OB cos x 2 csc 2 CSC O C C O D 1 X

Prove the given identity tan x cot x sec x CSC X Choose the correct proof below OA tan x cot x sin x cos X cOS X sin x sin 2 x cos x 2 sin x cos X 1 sin x cos X sec x cSC X OC tan x cot x sin x COS X cos X sin x sin x cos x sin x cos x 2 sin x cos X 1 sec x csSC X OB tan x cot x sin X COS X sin x cos x 2 Sin x COS X sin x cos x 1 sec x csc X D tan x cot x sin x COS X 2 sin x cos cos x 2 sin xcos x 1 sin x cos X sec X CSC X

Simplify the given expression The result will be one of sin x cos x tan x cotx sec x or csc x cot x tan x sin x cot x tan x sin x

1 cost sint Choose the sequence of steps below that verifies the identity O A OB sint 1 cost O C 1 cost 1 cost sin t sin t 1 cost sin t 1 cost sin t OD 1 cost sin t 1 cost sin t 1 cost sin t 1 cost sin t 1 cost 1 cost 1 cost 1 cost 1 cost 1 cost 1 cost 1 cost 1 cos t sin t 1 cos t 1 cos t sin t 1 cos t 1 cos t sin t 1 cost 1 cos t sin t 1 cost sin t sin t 1 cost sin t sint 1 cost sin t sin t 1 cost sin 2t sin t 1 cost sin t 1 cost sin t 1 cost sin t 1 cost sint 1 cost

Prove the given identity CSC 0 1 cos 0 1 Which of the following shows the key steps in proving the identity OA csc 2 0 1 cos 0 csc 0 csc 0 cos 0 csc 0 cot 0 1 OB csc 20 1 cos 0 csc 0 sin 0 csc 0 Oc csc 2 0 1 0 1 cos 0 cos 0 csc 0 cot 0 csc 0 OD csc 2 0 1 cos 0 sec 0 1 cos 20 1 tan 0 sin 0 sin 0 2 sin 0 2 sin 0 1 1 sin 20 csc 0 cot 0 1 2