Mathematics Questions and Answers May 27, 2020

Find the exact value of the expression sec sin 1

Find the exact value of the expression. sec sinI 23

Use the given conditions to write an equati Passing through 5 5 and perpendicular

Use the given conditions to write an equati Passing through (5, 5) and perpendicula

What is the degree of the polynomial that was graphed HINT Use a logical approach when looking at that graph and the type of graph this appears to y 25 4 25 5 X

Compute the difference quotient f x h f x h for the function given below 3x 1 2x 5 f x Give a simplified expression involving x and h if necessary For example if you found that the difference quotient w x h you would enter x h

Choose the answer that best describes the graph O 850 8000 750 700 650 600 50 500 450 400 50 300 250 200 150 100 50 increasing O decreasing O constant neither both SOwed 4 Weeks 6 8 10 12 14 16 18 20 22

boat race runs along a triangular course marked by buoys A B and C The race starts with the boats headed west for 3600 meters The other two sides of the course lie to he north of the first side and their lengths are 1600 meters and 3300 meters Draw a diagram that gives a visual representation of the problem Then find the bearings for he last two

Compute the following Use undefined or imaginary for non real results 3 2 100

Compute the following. Use undefined or imaginary for nonreal results. ( 9 h 32

The 11th and 12th Fibonacci numbers are 89 and 144 What is the 13th Fibonacci number 117 233 55 O288

A television camera is positioned 4 000 ft from the base of a rocket launching pad The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight Also the mechanism f focusing the camera has to take into account the increasing distance from the camera to the rising rocket Let s assume the rocket rises

4 Jackie s homework is to determine the dimensions of her rectangular backyard She knows that the length is 10 feet more than the width and the total area is 144 square feet Write an equation that Jackie could use to solve this problem Then find the dimensions in feet of her backyard

e the following formula for t G W Wrt Simplify your answer

the following formula for t. 3WWrt (Simplify your answer.)

Chapter 3 Skill Builder Find all numbers for which the rational expr X 5 x x 12

hapter 3 Skill Builder Find all numbers for which the rationl exp x x12

The density 6 of the cylinder z y 25 0 3 varies with the distance r from the z axis 8 3 rg cm Find the mass of the cylinder assuming z y z are in cm mass include units

I Functions ind the horizontal asymptote if any of the gr 7x 3 2x 5 f x Select the correct choice below and if neces OA The horizontal asymptote is Type an equation Simplify your ans

Is the following a power function a polynomial both or neither f x 17x5 Select the correct answer below Power function Polynomial function Both Power and Polynomial Neither Rower por Rolynomi

10 31 O No Solution Question 4 20 points Solve the following system of equations using SUBSTITUTION 2x 2y 5 y x Which of the answers below is the corrected solution to the system 2 4 2 2 1 1 O No Solution Question 5 10 points

15 Solve for x x 3 2 7 5 16 Solve for x 4 x 2 3 x 4 2 x

Subtract 3x x 2y from 6 x 2 xy and express your answer as a monomial

Subtract 3x(x2y) from 6(xA(2)xy) and express your answer as a monomial.

Given A 3 23 Express 4 and A as a product of elementary matrices EM A 5

Given A Express A and A 1 as a product of elementary matrices (EM)

12 Which function best represents the values in the table below f x 27 1 0 8 125 A f x x B f x x C f x X D f x x X 3 1 0 25 5

Which ordered pair is a solution to the linear inequality below x 4y 4 A 3 5 B 0 4 C 2 3

or units out referring to any of the tabl symbol is

r units. out referring to any of the tabl symbol is

Find the quotient 4x 13x 2x 7 x 3x 2 For the toolbar press ALT F10 PC or ALT FN F1

Which sampling technique is used if a researcher randomly selects and interviews 40 male and 40 female teachers at a given university Random Stratified Cluster Convenience

Complete the formula for the law of sines sin sin 74 4 8 F G 65 6

Complete the formula for the law of sines Sin 74 4.8

y A sign of the leading coefficient O It is not possible to determine the sign of the leading coefficient based on the graph O The sign of the leading coefficient is positive because the end behavior is from an equation of od degree and positive leading coefficient O The sign of the leading coefficient is negative because the end behavior is from

Decide which property of equality you will use to solve each equation a b c x 10 6 Addition Property of Equality Division Property of Equality Multiplication Property of Equality Subtraction Property of Equality y 3 4 Addition Property of Equality Division Property of Equality Multiplication Property of Equality Subtraction Property of Equality 8m

radius Step 3 of 3 Solve the problem by substituting in the appropriate value s of the known variable s in the formula you found in the previous step Round your answer to two decimal places if necessary

5 The atomic weight of carbon C is 12 and that of oxygen 0 is 16 What is the percentage of carbon in CO

are of ZROS in AROS below is 60 S R px a The curved arrow represents the rotation of OR beginning from the positive x axis Through how many degrees has OR rotated b If OR 1 what are the exact lengths of OS and SR C What are the exact coordinates of point R

0 AABC is right angled at A and has AB AC Point D is on BC so that AB BD Point L is the midpoint of AD Let P be the point on the circumcircle of AADC so that ZAPB 90 Prove that LPC 90

4000 3600 3200 2800 2400 2000 1600 1200 800 400 Determine the intercepts of the graph below 40 80 120 160 200 Q Vertical Intercept as an ordered pair Horizontal Intercept as an ordered pair

a cos B tan 3 4 b sin a b 3 2 and cos B c tan x 2 13 3r 2 B 2

The table below shows the survey results from four randomly selected Algebra 2 students in one high school classroom Height in inches 76 62 68 72 Favorite Sport Basketball Softball Number of Siblings Gymnastics 2 Baseball 4 0 1 Age in years 17 18 16 17 Favorite type of pet Dog Cat Fish Dog Which of the following questions below could be asked

Given log4 0 0625 what value of y makes the expression 49 equivalent Provide your answer below y

Given log4 0.0625, what value of y makes the expression 4Y equivalent Provide your answer below

8t 99 1 The function P t 2t 3 gives the bo dosage of a new medicine Philbetterol aft a Solve for the vertical asymptote s if a

On a leveled ground a 6 meter ladder leans against a vertical wall How far is the foot of the ladder from the wall if the top of the ladder is 3 meters from the ground

CAMP The enrollment for a biannual computer camp over the past 15 years is shown Number of Participants 45 68 55 25 48 36 61 52 31 8 41 58 40 55 68 47 60 28 44 63 18 68 50 57 37 16 56 40 50 68 Use a graphing calculator to create a box and whisker plot and describe the shape of the distribution Then describe the center and spread of the data using

Question 52 of 60 Under the Deceptive Trade Practices Act DTPA in order for treble damages to be awarded a real estate professional must OA commit an act of omission B commit an unconscionable act C act knowingly OD commit an act of commission

Given Vertex and a Point Vertex Form Method 2 1 2 3 4

Given Vertex and a Point (Vertex Form) Method 2 1. 2. 3. 4.

xx is an odd integer 4 x 16 5 7 9 13 15 Choose the correct answer below A This statement is false There is one missing odd integer in the set which is 11 OB This statement is false The set of integers includes negative numbers too There should be a total of ten integers in the s OC This statement is true If you list all of the integers from 4 to

98 Solve each of the following equations 2 x 1 18 a b 2 3 10

8. Solve each of the following equations. a. 18 b. 2.r 10

oint Solve the following differential equation wer y x C y 4y sin C

Oint) Solve the follovang differential equation 4y sins wer y(r)

Solve the following equation for pr P 1 Just put a single number in the blank below for the correct value of p

if tan s release A in Quadrant 1 find www

At the same time that a 5ft tall girl casts a 12 ft shadow a flagpole casts a 30 ft shadow How tall is the flagpole Type a response

14 Solve by factoring x 16 0 A x 2 B x 4 C x 5 D x 8

14. Solve by factoring x

P2 Eliminate the cross product term by a suitable rotation of axes and identify the conic or th limiting form represented by the given equation a b c d 3x 10xy 3y 10 0 3 3 x xy y x y 13 2 4x 3xy 18 16x 24xy 9y 20x 15y 150

Simplify each expression csc tan e sec 8 O cos 8 O csc 8 O cot 8

Simplify each expression. csc e tan e O sec e O cos e O csc e O cote

Unit 4 Part 1 Major Assessment Radi 6 of 14 Simplify 6 2i 5 3i 19 25i 036 8i II O 24 28i 014 22i

Abe bought a new split level for 200 000 Abe put down 30 Assuming a rate of 5 3 4 on a 30 year mortgage Abe s monthly payment is use the table in the handbook

Question 11 of 13 Step 2 of 2 Consider the following relation Step 2 of 2 Does the relation represent a function 8 2 9 4 4 8 4 3 6 3 7 0 10 5 Correct 10 Enable Zoom Pan 5 10 X

Suppose that G x log 3 2x 1 3 a What is the domain of G b What is G 5 What point is on the graph of G c If G x 2 what is x What point is on the graph of G d What is the zero of G a The domain of G is Type your answer in interval notation b G 5 The point c If G x 2 then x The point d The zero of G is x 0 is on the graph of G Type an ordered pair is

Evaluate the radical expression Express your answer as an integer simplified fraction or a decimal rounded to two decimal places If the expression does not represent a real number indicate Not a Real Number Answer 122 Keypad Keyboard Shortcuts Selecting a radio button will replace the entered answer value s with the radio button value If the radio

you fimish the letters that rema 4 x 2 3 x 5 5 x 2 7x 10

you fimish, the letters that rema (4)(x2)

Question 4 of 9 Step 1 of 3 After 20 years Jenny s account earned 300 in interest If the interest rate in decimal form is 0 03 how much did Jenny initially invest Step 1 of 3 Choose the correct formula Answer OA bh OP a b c C 2nr h b c 6 23 Correct A 01 Prt P 21 2w P 4s 5 C F 32

What is the area of a regular ecagon if the length of each side 20 units 2 Drew decides to bake his girlfriend a cookie in the shape of a regular dodecagon 12 gon for their 12 day anniversary If the edge of the dodecagon is 6 cm what is th area of the top of the cookie

Solve 9x y 1 dx 4y x dy If y 1 0 y 1 0 0 then y 1 Which of the following is within 0 01 of the right answer A 2 9221 B 0 C 2 D none of solutions A B C

2 Graph each of the following functions State the domain range intervals of intercepts and asymptote increase decrease a f x 3 1 b f x ex 1 5 c f x 2 e

When a diabetic takes long acting insulin the insulin reaches its peak effect on the blood sugar level in about three hours This effect remains fairly constant for 5 hours then declines and is very low until the next injection In a typical patient the level of insulin might be modeled by the following function where f t represents the blood sugar

E Identify the LCD of the rational expressions in the equation x x 3 1 x 3 x

E Identify the LCD of the rational expressions in the equation

45 48 Evaluating Logarithms Use a calculator to evaluate the expression correct to four decimal places 45 a log 2 b log 35 2 46 a log 50 b log V2 47 a In 5 b In 25 3 e log 3 c log 3 2 c In 1 3

Solve the equation using the quadratic formula 2x2 7x 1 0 The solution set is Simplify your answer Type an exact answer using radicals and i as ne

A D B E Which of these graphs could be the graph of y 3x 4 Give the letter of the graph as your answer C F

4 y x 4 X X y 6 y x 4x 5 Solutions y Solutions S

Solutions

14 Alfredo Gutierrez bought 2 000 shares of a phone company s stock at 36 50 a share He sold his stock at 48 25 per share Each transaction paid a sales commission of 49 95 plus 0 02 per share a What was the net amount of the sale b What was the profit or loss from the sale

blank 11 3 m 3 Volume in 1 10 1 m your answer Type an integer or a d

anke Volume in your answer. Type an integer or a d

Suppose that the value of a stock varies each day from 11 82 to 18 17 with a uniform distribution Find the third quartile i e 75 of all days the stock is below what value Round your answer to the nearest cent

2 g x x 4x The y intercept is Zeros Characteristic of Multiplicity 6 Behavior of the graph relative to x axis at its root

Click the icon to see the 5 Complete the ratio table for Car A Miles Driven Gallons of Gas 150 225 375 5 10 20 50

A tree on a hillside casts a shadow c 240 ft down the hill If the angle of inclination of the hillside is b 18 to the horizontal ar the angle of elevation of the sun is a 48 find the height of the tree Round your answer to the nearest foot ft

2x 2x 4x x 4 2x 2x 4x H x 4 X 4 Simplify your answers Do not factor Use integers or fractions for any numbers in the expressi

Consider a 20 year mortgage for 306 392 at an annual interest rate of 4 2 After 10 years the mortgage i refinanced to an annual interest rate of 2 8 What are the monthly payments after refinancing Round your answer to the nearest dollar

3 1 mark The basic period of 13 sin x 9 is given by a 2 C T a b C b KIN d e 1

ne circulation or a 6 2 0 1 0 3t C Show Transcribed Text magazine as a function of time t is given by the following formula d At what time was the circulation increasing the fastest Round your answer to the nearest year 1 75 years

The figure on the right shows the graphs of the cost and revenue functions for a company that manufactures and sells small radios More than how many radios must be produced and sold for the company to have a profit The company needs to produce and sell more than radios to have a profit Type a whole number 40 000 y 35 000 30 000 25 000 20 000 15

6 Solve the following triangle 11 c 15 35 You must include diagrams of your solution s for full credit

Given f x 6x and g x 2x 6 find the following expressions a fog 4 b gof 2 c fof 1 d gog 0 a fog 4 Simplify your answer

line with the given slope that passes through the point with the gi slope 5 ordered pair 3 2

line with the given slope that passes through the point with the gi slope 5 , ordered pair (3,2)

How much will Maddie earn in interest if she invests 1 200 in a savings account for 5 years at a simple interest rate of 4 5 Include Decimal with the cents

9x 7y 5z 65 3x 5y 6z 35 2x 8y 5z 48 Write the solution as an ordered triple in the form x y z Do not enter any spaces in the answer The solution is

In Exercise 9 3 3 problem 8 you were asked to state the transformations from the parent function y x The function f x in problem 8 has been shifted up 9 units and vertically stretched Further in problem 12 you were asked to find the inverse function for problem 8 This is possible without a domain restriction because f x is one to one The answer

Find the exact values of the angles that are solutions to the equation sin 0 0 5 Express your solutions in radians

3 What is located at the center of our galaxy how far is the Earth from this location

Whais located at the center of our galaxy how far is the Earth from this location

5 points The function f x 7x arctan x8 is represented as a power series f x x n 0 What is the lowest term with a nonzero coefficient n Find the radius of convergence R of the series R

Skill Builder whether the following statement is true or fals 1 1024 5

Skill Builder whether the following statement is true or fal 1024

5 of 15 What is the Least Common Denominator of the expressions and 2x 7 2x2 92 5 2x 1 x4 x 5 2x 1 x 4 x 5 x 3 2x 9x 4 O 2x 1 O x 4 x 5

Which of these figures does not have two pairs of parallel sides Select one O a parallelogram b trapezoid O c rhombus d square

2 Sketch the following exponential functions using transformations and mapping rules Use the attached pages for this a f x 1 5 2 b g x 4 3 c h x 2 3 2x 1 d x 3

250mL 0 9 Sodium Chloride to infuse over 3 hours Drip factor 10gtts mL How many drops per min gtt min Round to the nearest whole number

Fill in the blanks to complete the equation that describes the diagram 3 CO 2 W Stuck Review related articles videos or use a hint Report a problem

This table shows a relation that is a function X f x 7 3 2 4 8 CO LO 5 6 1 Which of the following ordered pairs could be included in the table and have the relati remain a function Select all that apply 5 5 4 2 3 3 8 6

You invest 1000 in an investment account which yields 6 interest compounded monthly How much interest do you get after 2 years

3 Problem Suppose that sina for an angle a in quadrant I and that cos 3 for an angle quadrant III a Find the exact values of cos a and sin 8 b Find the exact value of sin a B c Find the exact value of cos a B d Find the exact value of tan a 3

standard TEMPERATURE The daily July surface temperature of a lake at a resort has a mean of 82 and a deviation of 4 2 If you prefer to swim when the temperature is at least 80 about what percent of the days does the temperature meet your preference 34 68 3 2 4 16

Find the quotient and remainder if there is one If there is a remainder express it in the form T a 4 9a 41a 27a 30a 15 a 4

Find the coefficient of the fifth term in the expansion of 2x 3 1944 2916

bind the coefficient ot the (itth term in the expansion ot (h 0 06

Purchase Pric Cash Invested 89 700 10 000 235 700 40 000 515 250 75 000 1 750 000 350 000 Monthly Rent 450 4 000 6 000 15 000 Annual Expenses 4 500 43 800 67 500 145 000 Annual Annual Rental Net Income Income 5 400 900 b b b a C C Annual Yield C

40 milligrams grains Round to the nearest tenth

40 milligrams grains Round to the nearest tenth

Given f x x after performing the following transformations shift upward 54 units and shift 85 units to the right the new function g x