Functions Questions and Answers

I x Find f 1 and evaluate f 1 500 to determine when the depreciated value of a computer will be 500

Set up but do not evaluate the volume integral for the region whose base D is bounded by x 0 y x nd y 3 and whose bottom is bounded by z 2x 3y and whose top is bounded by z 10 x y

time customers park their cars in the garage Shown in the stem and leaf display below is a sample of such parking durations in minutes For this sample 19 of the durations were from weekday use of the garage and 18 were from weekend use Answer the questions that follow Parking durations minutes Weekday Weekend 9 15 69 8744220 16 24 84 10 17 0019 6621 18 00055678 922 19 18 Key 1599 15 6 Weekday Weekend 156 a What were the ranges of parking durations for the two groups b Which group had the higher median parking duration The medians were the same Weekday Weekend c Which group had more parking durations in the 190s Weekend OEach had the same Weekday X

6 Select B Select B 10 5 Select 8 y 10 10 Select 5 Select B Select B 10

Find the value of s in the interval 0 tan s 0 7888 E N 2 that satisfies the given statement S radians Round to four decimal places as needed

0 Use the formula to find the value of the missing variable t radians per sec t 16 sec 3 8 The missing variable is 0 Type an exact answer using as needed

Vlad has 4 mes as many blue marbles as green marbles W could be the number of blue marbles Vlad has 16 marbles 22 marbles 18 marbles

Nara multiplie two whole numbers toget Then she cidentally spilled ketchup on her work Se the three responses below that could be one of the numbers Nara multiplied equal a product of 90 X 90 CL

Harry s little sis spilled paint on his factor inbow for the number 42 Which answer choice shows the correct factor ram bow for 42 12 Factors of 42 CLEAR

In the scenario below identify whether the events are independent or dependent of each othe The probability that a patient has heart disease given that they have diabetes is 20 The events are of each other

USALIVOVING Glass 02 mework Question Part 1 A town wishes to build a horse trail between city A city B city C and city between any two of the destinations are given in the table Use the table below a Use Kruskal s algorithm to determine the minimum cost spanning tree OA 17

14 4 Points DETAILS Consider the line graph shown in the figure Expenses 400 300 200 SMITHNM1 100 J FMAM J J A Month Expenses for two sa Il Dancil Comp

The amount of electricity used by t X kWh DETAILS SMITHNM1

Find the requested probability P A if P A 0 8 P A

A household is a group of people living together at random and record how many people it contains H Number of People Probability 0 25 27 What is the probability that a randomly cho a 0 90 b 0 76 1024 2

etermine the points of discontinuity for the function f x 2 4x x 2 3x

Solve this curve sketching problem 1 x 6 x 1 use full algorithm and show all steps please

X 132 sing the image above What is the missing angle

e grated Math II hat is the scale factor of the dilation own

Find the absolute maximum and absolute minimum values of the function f x x 2 x 5 12 on each of the indicated intervals Enter NONE for any absolute extrema that does not exist A Interval 1 4 Absolute maximum Absolute minimum B Interval 1 8 Absolute maximum Absolute minimum C Interval 4 9 Absolute maximum

5 What is BD 6 Given EP FP and GQ of AEFG 7 What is UT B FQ what is the perime

A 72 B 120 OA OB OC OD H Regular pentagon HIJKL is inscribed in circle O Find mHJK C 216 D 144

2 12 a Is the function X 2 e t x 2 Y X Justify your answer e2t a solution to the system X 3 2t Gundamental solution sat for the system Justify your answer

2 1 3 15 Find the general solution to the system X x 1 2

2 One week after Mr Jones was admitted he weighed 120 Kg Kilograms You are asked to convert this number to pounds How much does Mr Jones weigh in pounds 1 kg 2 2 pounds

ind the Bessel Function of the First Kind that satisfies the Bessel Equation x y xy x 1 y 0 That is use the method of Frobenius to find the series solution for 1 x Hint for the iteration use the following patterns 2 4 2 1 1 2 2 4 4 6 22 1 1 2 2 2 2 3 2 2 4 4 6 6 8 2 1 2 1 2 3 2 3 2 4 2 1 2 3 1 2 3 4 Recall that Jo x co n 0 1 2 1 2 3 1 x 22 n Find J x use the change of variable n k 1 and

estion 1 Suppose tan y 2 e0 where inside and Othere are expressions in terms of x only Someone tried to find y using implicit differentiation The first two lines of their solution is shown below Find am list all error s in their solution Type your answer in the space provided Do not find y d Line 1 tan y 0 y dx Line 2 d 1 1 0 y dx 0 y e0 y

The construction crew for a new store will dig a hole in the shape of a rectangular prism for the store s foundation The will be 17 yd long 14 yd wide and 4 yd deep To haul away all of the dirt from the hole a dump truck will take trips to a nearby landfill The crew knows the amount of dirt the truck can hold each trip in cubic feet a Find the volume of dirt that will be hauled away in cubic feet Use the table of conversion facts as needed b Each trip the truck can haul away 310 ft of dirt To save gas the crew wants to take as few trips as necessary to haul all of the dirt away Since all of the dirt needs to be hauled away the crew might have to take a partial load for one trip How many trips are needed to haul away all of the dirt Count each trip it makes the same even if the truck isn t full trips c If it costs 1225 for each trip that the truck makes how much will it cost to haul away all the dirt 0 Conversion facts for length 1 foot ft 12 inches in 1 yard yd 1 yard yd 3 feet ft 36 inches in

Miguel built a compost bin in the shape of a rectangular prism The bin is 4 ft long 2 ft wide and 4 ft deep After the compost cycle is complete the bin will be full of potting soil that Miguel can sell at a farmer s market The potting soil wil packaged in bags The amount of soil each bag can hold is known in cubic inches a Find the volume of the compost bin in cubic inches Use the table of conversion facts as needed in 3 b Miguel is going to put the potting soil in bags Each bag holds 415 in3 of the soil He is going to bag up as much soil as possible but he won t partially fill any bags How many whole bags will he fill bags c The bags will sell for 4 99 each If Miguel sells all the bags how much money will he collect Conversion facts for length 1 foot ft 12 inches in 3 feet ft 36 inches in 1 yard yd 1 yard yd

Let the set A be defined as follows A 11 17 23 29 37 43 a Find the total number of proper subsets of 0 b Find the total number of subsets of A

pt History tempt in Progress year of operations Crane Company recognized 29 500 in s ing at year end The remaining 23 400 was received in cash pany incurred operating expenses of 15 500 Of these exper at year end In addition Crane prepaid 2 300 for insurance ns

have a rectangular bar that is 8 mm in width and depth 1 e it has a square cross section that is made from steel Young s modulus of elasticity E 200 GPa You also have a displacement transducer that can measure displacements in the range of 0 1 5 mm Answer the following questions a What is the largest force you can measure using this rectangular piece of steel considering that you don t want to exceed 50 of the yield strength i e maximum stress of 250 MPa ISA ID ALI20 b You want a transducer that can measure forces applied in one direction only What length of bar should you use so that you can measure a compressive load of 5 kN with maximum resolution For this problem assume you have maximum resolution if 5 kN of applied force causes deformation of 1 5 mm How much Force measurement uncertainty do you have when the deflection measurement is y 0 2 mm Assume the modulus and displacement are known exactly but the two bar dimensions diameter and length are only known with an accuracy of 2 of their nominal values Give your answer as a

Math II e a composition of transformations t KLM to PQRS

pl by Rebecca Skloof There s a photo on my wall of a woman I ve never met its left corner torn and patched together with tape She looks straight into the camera and smiles hands on hips dress suit neatly pressed lips painted deep red It s the late 1940s and she hasn t yet reached the age of thirty Her light brown skin is smooth her eyes still young and playful oblivious to the tumor growing inside her a tumor that would leave her five children motherless and change the future of medicine Beneath the photo a caption says her name is Henrietta Lacks Helen Lane or Helen Larson No one knows who took that picture but it s appeared hundreds of times in magazines and science textbooks on blogs and laboratory walls She s usually identified as Helen Lane but often she has no name at all She s simply called HeLa the code name given to the world s first immortal human cells her cells cut from her body just months before she died Her real name is Henrietta Lacks A I ve spent years staring at that photo wondering what kind of life she led what happened to her children and what she d think about cells from her body living on forever bought sold packaged and shipped by the trillions to laboratories around the world I ve tried to imagine how she d feel knowing that her cells went up in the first space missions to see what would happen to human cells in zero gravity or that they helped with some of the most important advances in medicine the polio vaccine chemotherapy cloning gene mapping in vitro fertilization I m pretty sure that she like most Us would be shocked to hear that there are trillions more of her cells growing in laboratories now than there ever were in her body W 29 How does the photograph support an important detail in the excerpt A By demonstrating how important Henrietta would become 8 By showing the cells came from Henrietta who lived a normal life ed By revealing what Henrietta was like as a mother By displaying an image of Henrietta before her cells were taken 30 Which phrase from the excerpt provides context that supports the meaning of the word immortal in paragraph 2

An equation of an ellipse is given 81 a Find the vertices foci and eccentricity of the ellipse vertex x y vertex focus focus eccentricity x y x y b Determine the length of the major axis Determine the length of the minor axis smaller y value larger y value smaller y value larger y value

b 42 32 10 Select O Select O 5 Select 0 y 10 Select O 5 Select O Select O 10 X

Find an equation for the ellipse whose graph is shown y 5 10 4

Find an equation for the ellipse whose graph is shown y 5 0 F 0 4

5 Fix n 2 1 Show that the nth roots of unity wo wn 1 satisfy z 1 a zwo z w z Wn 1 b wo wn 1 0 if n 2 c wo wn 1 1 1 n 1 d w 1 0 j 0 1 k n 1 k n

Find the following limits us ctan x4 x7 In x

n the right and the given information to s C and B cimal places as needed

triangle shown to the right Question 2 8

Question 13 7 1 55 Use the vertical line test to determine whether the given graph is a graph in which y is a function of x The graph point a graph in which y is a function of x because a vertical line HW Score 67 19 21 5 of 32 points O Points 0 of 1 Q ya 20 Sav be drawn such that it intersects the graph in more than one

pick the correct domain and range of g 1 x the inverse of g x x 2 4

graphing calculator is recommended oil refinery is located 1 km north of the north bank of a straight river that is 3 km wide A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 9 km east of the refinery The cost of laying pipe is 2 er land to a point P on the north bank and 400 000 km under the river to the tanks To minimize the cost of the pipeline how far downriver from the refinery in km should the point P be located Round your answer to two decimal places km

Horizontal Shift Vertical Stretch Shrink Horizontal Stretch Shrink Reflection Vertical Shift

The functions u and w are defined as follows u x 2x 5 w x x 1 Find the value of u w 4 u w 4 11

4 If you can buy one fruit basket for 30 then how many can you buy with 60

A ferris wheel can accommodate 60 people in 15 minutes How many people could ride the ferris wheel in 2 hours What was that rate per hour

A pair of parametric equations is given y t 2 1 X a Sketch the curve represented by the parametric equations y 10 5 O WebAssign Plot 10 5 10 5 104 y 10 10 5 5 5 10 X 10 X O 10 10 5 b Find a rectangular coordinate equation for the curve by eliminating the paramotor 5 104 10 y 10 5 10 y 5 5 10 X