Mathematics Questions and Answers June 04, 2020

Solve and graph the answer on a number line 5 1 2 16 O O 2 6 3 3 2 6 2 6 2 6 2 6 2 6

Consider the following matrix Let B Answer 2 Points 3 1 10 5 0 9 7 14 2 Step 2 of 3 Determine the value of b22 if possible If the element indicated is not in the matrix state None Keypad Keyboard Shortcut Selecting a radio button will replace the entered answer value s with the radio button value If the radio button is not selected the entered

Suppose a calculator manufacturer has the total cost function C x b What is the profit on 2800 units 24x 6400 and the total revenue function R x 66x a What is the equation of the profit function P x for the calculator P x

Graph the following linear function Give the domain and range Identify whether it is a constant function f x x 11 Use the graphing tool to graph the linear equation Click to enlarge graph What is the domain Select the correct choice below and fill in the answer box to complete your choice OA The domain is a value or list of distinct values Type an

Unit 6 Lesson 10 A rotation takes P to Q What could be the measure of the angle of rotation in radians Select all that apply YAQ P X

Consider the function f x defined by the finite set f x 2 5 0 4 1 3 Using Desmos Graphing Calculator graph the function f x and the transformation g x f x 4 Upload a screenshot of your graph and its transformation creer sho Note This activity requires you to capture a screer shot and submit Please refer to the Screenshot Instructions if you need

3 7 points Let A 1 1 4 Find a singular value decomposition of A

. (7 points) Let A 1 1 1 Find a singular value decomposition of A.

20 Solve for x O 11 1 5 O 0 10 9 17 1211212 x 5 8

12 20. Solve for 0 11

24 Complete the indirect proof Given 21 m22 and DG is not congruent to FG Prove DE is not congruent to FE Assume that EG EG AEDG AEFG D E Assume the conclusion is false This contradicts the given information so the assumption must be F

At a concession stand, five hot dog(s) and four hamburger(s) cost $14.50; four hot dog(s) and five hamburger(s) cost $14.75. Find the cost of one hot dog and the cost of one hamburger.What is the cost of one hot dog?

4 Rain leases a houseboat for 61 per day The total cost C is a function of the number of days d she leases the houseboat The best algebraic equation for the above situation is Do not include a dollar sign in your answer C

Make sure your answer is in degrees You should be able to find this without a calculator sin sin 17

3 Let 2 A 1 3 108 Compute u U U3 and u using the power method and uo a b Explain why the power method will fail to converge in this case

26 Guillermo has sold 87 33 118 and 70 appliances in the last four months respectively How many appliances will he need to sell this month to maintain an average of at least 75 sales per month answer

Find all local maximum and minimum values for gx x Local Minimum 0 1 25 Maximum y 1 Local Maximum 0 1 25 No Minimum Local Minimum 0 1 25 No Maximum Local Minimum 2 28 1 25 No Maximum x 5 x 4

Sketch one cycle of the sine curve Assume a 0 Write an equation for the graph amplitude 2 period 4x Choose the correct graph below OA Ay Q EN B A 444 14 Ay Q Q OD Ay hi

The graph has a vertical asymptote at x 3 a horizontal asymptote at y 0 and passes through the point 4 2 What could be the function of this graph 10 B 642 8 6 4 2 2 4 6 48 2 4 6 8 10

House Find the domain of the function Write your answer as a compound inequality involving x Domain of A x Figure 1 Figure 2 sa has 60 ft of fencing available to construct fence that will divide her garden into two rectangular sections Her house forms one side of the garden and x represents the width as show Figure 1 Express the total area of the

2 The data shows the power generated by a wind turbine The x column gives the wind speed in meters per second The y column gives the power generated in kilowatts X 5 6 7 8 9 y 10 17 28 27 44 40 96 58 32 a What is the first differences of the y values b What are the second differences of the y values c When are the differences constant

5 You have a lemonade stand on the side of the road A car drives at a constant speed down the road toward your stand and then away from your stand as it passes A Linear B Quadratic C Square Root D Absolute Value

4 show Cos x Tan x Sec x Sin x 1

4) show Cos(x)((Tan(x) Sec(x)) Sin(x) 1

Problem 35 Find p P3 R such that p 0 0 p 0 0 and 12 3a p x da is as small as possible

se the graph to solve the equation and inequalities a 2x x 3 b 2x x 3 2x2 x 3 c 5 T 3 2 1 2 Y 2x 2 2 3 5 2 3 5

Car insurance companies want to keep track of the average cost per claim The current data in use for Auto Insurance F Us is an average of 2 200 for each claim with a standard deviation of 500 With this average the company can stay competitive with rates but not lose money However the statistician for the company believes that the cost of the

The function f is defined as follows f x 3 x if x 0 x if x 0 a Find the domain of the function b Locate any intercepts c Graph the function d Based on the graph find the range a The domain of the function f is Type your answer in interval notation b Locate any intercepts Select the correct choice below and if necessary fill in the answer box to

Let S = {v1, v2, v3} be a subset of an inner product space V. Show that if S orthonormal set, then S is linearly independent.

What is the value of log 81 O 0 212 O 72 02 C O

What is the value of log9 81 0 0.212 0 72

Choose the graph and the solution for X 0 125 2 5 4 x

Choose the graph and the solution for x 0.125

MYN If a ball is thrown upward at 64 feet per second from the top of a building that is 140 feet high the height of the ball is given E S 140 64t 16t feet where t is the number of seconds after the ball is thrown How long after it is thrown is the height 140 feet t S

Using the discriminant state the number of solutions for the following equation Hint express your answer as an integer 0 1 2 or 3 z 8z 16 Number of solutions Using the discriminant state the number of solutions for the following equation Hint express your answer as an integer 0 1 2 or 3 5x 10x 5

What is the area of square WXYZ 10 8 6 Area Submit N W 4 2 square units 104 8 6 4 2 0 2 4 9 6 8 10 Y X 2 4 6 8

Find the following for the function f x 2 X 1 a f 0 e f x TA g f 3x X b f 5 f f x 2 0 c f 5 g f 3x Simplify your answer Use integers or fractions for any numbers in the expression d f x h f x h 3x 2 9x 1 Simplify your answer Use integers or fractions for any numbers in the expression h f x h Simplify your answer Use Integers or fractions for any

Find the equation of a plane that is perpendicular to the vector 1 3 2 and passing through the point 3 1 5 The plane is given by

Homework Unanswered Find f x h f x h f x 10x 9 Type your numeric for the function

Homework Unanswered h) for the function. h f(x) lox 9

3 Find the equation of a line passing through points 7 10 5 14 y

3. Find the equation of a line passing through points (7, 10), (5, 14).

In the Linear Function f x 3x 2 what is the slope O Om 3 Om 2 Om 3 2 m

In circle O AE and FC are diameters Arc ED measures 17 F LL E D 2 A BU C 10 What is the measure of EFC 107 180 O 253 O 270

A rare square Turkish rug is sold at auction The area of the Turkish rug in square feet is 60 more than its perimeter in feet Find the length in feet of the side Each side of the rug is feet Type an integer or a fraction

If A is a 5 x 7 matrix with rank 3, which one of the following statements is true:A) The column space of A has dimension 2.B) The row space of A has dimension 4.C) The null space of A has dimension 4.D) Ax = 0 has only the trivial solution.E) A- can be written as a multiplication of elementary matrices.

Plot the point Then plot the point that is symmetric to it with respect to a the x axis b the y axis c the origin 5 7 Plot the

5 Rank the following numbers in ascending order from smallest to largest 1 largest value 2 middle value 3 smallest value

neither even nor odd is even odd or Is this function even odd or neither even nor odd OA Neither even nor odd OB Odd OC Even W 10 X 20

Draw and label all sides of a triangle that would have the following sine value sin x 1 Label angle x also 4 marks A C 0 B b a C

Find the trig ratio 29 20 0 21 sin 0 Round to the nearest hundredth Remember SOHCAHTOA Enter

Find the trig ratio. 29 20 21 sing 0) Round to the nearest hundredth. Remember SOHCAHTOA

Express as a product In 5 In 5 Simplify your answer Use integers or fractions for any numbers in the ex

Which inequality is graphed below 7 6 5 0x212 Ox 2 Ox 2 3 2 1 0 2 3 S

5 S x x 4x 3x x 5x 6x 8 6 4 2 6f 2 X

x 3 4x2 3x x 5x2 6x

13 12 11 10 9 8 7 5 7 Find an equation for the graph above 2 1 3 h u 2 1 1 2 34 1 2 3 5 6

me Left 1 11 06 Juelz James Which of the following is the graph of y a x 2 x x 1 where a 0

10 8 6 1 10 Equation 5 5 10 6 8 10 Write the equation of the line shown Be sure to use the correct variable

Solve the inequality 11y 412 41 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution set is a finite set Simplify your answer Type an integer or a fraction Use a comma to separate answers as needed OB The solution set is an infinite set Simplify your answer Type your answer in interval

b The slope it Answer 10 y 10 5 5 10F undefined Select negative positive 0 5 0 5 10 I X

If 1500 are deposited into an account with a 7 interest rate compounded quarterly what is the balance after 15 years F P 1 5 nt Now enter r or the interest rate as a decimal r

Find transition matrix from B = {(1, 1, 1), (1, 1, 0), (1, 0, 0)} to C = {(1, 1, 1),

3 Solve the linear systems of equations using the elimina addition multiplication method 10x 10y 80 13x 6y 83 x 6 y 1 x 6 y 4 x 5 y 3 x 5 y 2

Use synthetic division to decide whether the given number k is a zero of the given polynomial function If it is not give the value of f k f x x3 5x 3x 3 k 1 i Is 1 i a zero of the function Select the correct choice below and if necessary fill in th answer box to complete your choice The given k is not a zero of the polynomial function f 1 i

The pitch of a roof is its slope Find the pitch of the of the roof shown

Use the function f x As X 00 y 2 X 3 2 to determine the information

2 Usethe function f(x) 2 to determine the information. x3 As OCJ, y

An antenna is put on a steep roof of a house The angle of inclination of the roof is a 40 A wire is to be attached to the top of the antenna and to the roof The distance from the bottom of the antenna to where the guy wire is attached is L 18 ft feet the red distance The angle formed by the wire and the roof is B 27 NOTE The picture is NOT drawn

3 The volume V of a sphere with a radius of r is given by V nr Show your work to find the radius to the nearest hundredth of a sphere with a volume of 8000 cubic units

Suppose that from the beginning of 2007 to the beginning of 2015 a country consumed gasoline at a rate of about q t 1 6t 141 billion gallons per year 0 sts 8 t is the number of years since 2007 During the same period the price of gasoline was approximately p t 3 5 2 38e 0 5 dollars per gallon Use an integral to estimate to the nearest 10 billion

Find the value of x in the following equation Express your answer as exact as possible or as a decimal rounded to two decimal places Separate multiple answers with a comma Answer 2 Points log 704 6 Key Keyboard Show

Evaluate the expression without using a calculator In e 8

Evaluate the expression without using a calculator. 8

Use the drawing tool s to form the correct answer on the provided number line Consider the given functions Function 1 f x 5x 1 10 6 Represent the interval where both functions are decreasing on the number line provided Function 2 g x 2 30 20 10 10 20 30 N 6 4

20 1 point Use the given point on the terminal side of angle to find the value of the trigonometric function indica sin 0 C 4 15 15 X

The temperature from midnight to noon on March 15 can be modeled using the function T(h) = 4.2(h) + 42, where T = temperature and h = hours relative to noon (note: h= 0 represents noon). Find the domain of the function. 0

The graph of the function g x is shown below Use the graph to answer the following questions Evaluate g 1 Evaluate g 4 Evaluate g 3 7 6 5 Evaluate g 0 fo LAS 7 6 5 4 3 2 1 1 CN 2 2 3 4 5 6 1 74 1 2 3 4 5 6 g 1 g 4 9 3 g 0

Form a polynomial whose real zeros and degree are given Zeros 5 1 1 2 degree 4 Type a polynomial with integer coefficients and a leading coefficient of 1 f x Simplify your answer

In the diagram below PQRS is a parallelogram with diagonals PR and QS QY and XS are drawn such that QY XS L 2 3 P 2 1 Y 2 1 M 2 Q Use the diagram to prove each of the following 6 1 AQPY ASRX 6 2 QYSX is a parallelogram 6 3 YM MX X 1 12 2 1 R 1 2 3 S

87 95 models the horizontal distance d in inches of the pendulum of a grandfather clock from The equation d 11cos the center as it swings from right to left and left to right as a function of time t in seconds According to the model ho long does it take for the pendulum to swing from its rightmost position to its leftmost position and back again

T Let A and 2 2 eigenvectors J Find e At using its eigen

E 4 Find the vertex of each parabo 13 y 5x 10x 3 14 y x 4x 7 15 y x 2x 16 y x 6x 1

initial investment Question 4 mly After 3 years the balance reaches 1 O Wildt was the amount of the 1 pts

Z NH INI represent the given graph

Match each term related to P x a x h 2 k where a 0 to its correct expression Drag and drop options on the right hand side and submit For keyboard navigation SHOW MORE Axis of symmetry The x value of the vertex The y value of the vertex The x value of x intercept s 4 The solutions of P x 0 Eh Ek III x h

4 Solve the triangle find all missing sides and angles 48 7 c

4. Solve the triangle (find all missing sides and angles) 48.n

3 Value City sells sirloin steaks at 9 99 per pound while Cold Cutz has them for sale at 20 99 per kg Which sale is better

Solve the following System using LU factorizationx? + 3x? + x3 = 42x? + 2x? + x3 = -12x? + 3x? + x3 = 3

750 are deposited in an account with 8 interest rate compounded continuously What is the balance after 6 years F Round to the nearest cent

f x 3x 11x 3 f 3 Be sure to simplify your answer

f(x) Ilx 3

et U 2 5 1 3 0 4 b u 39 0 8 2 7 4 c 2u 3u3 18 X 43 Compute each of the following A graphing calculator is recommended a U 3 18 d 4u 5u 43 3 0 3 4 4 8 20 4 12 40 10 35 20

10 8 6 4 2 10 8 6 2 2 4 6 8 91 6 18 8 10

10 8 10

4 Translating and Solving The length of a new rectangular playing field is 4 yards longer than triple the width If the perimeter of the rectangular playing field is 248 yards what are its dimensions Label your answers Label the two missing sides Setup an equation and solve Width x Width X Width Length

1 2 In circle N KL ML 5x 24 3 K 7x 7 N 5 13x 2 L 6 M 8x 3 7 8 9 10 What is the measure of ZJNK 66 74 77 80

1 Solve the following system of equations method 4x y 2 4x 2y 6 Ox 5 6 y 3 0 x 1 y O x 0 y 1 1 2 2016

Express the vector 1 2 3 on R as the sum of the vector on the plane passing through the origin and perpendicular to 1 2 1 and the two vectors perpendicular to it

a Rewrite the equation 3x y 5 0 in slope intercept form b Give the slope and y intercept c Use the slope and y intercept to graph the linear function a The slope intercept form of the equation is Simplify your answer Use integers or fractions for any numbers in the equation b The slope of the equation of the line is and the y intercept is Type

2 The equation x y 2 is graphed to the right Reflect the graph across the line y x to obtain the graph of its inverse relation Use the graphing tool to graph the inverse of x y 2 Click to enlarge graph 10 6 2 10 8 6 4 2 2 14 6 10

Use a graphing utility to graph the function Use a 5 5 1 by 24 24 3 viewing rectangle Then find the intervals on which the function is increasing decreasing or constant f x x 3x29x 4 Choose the correct graph below O A AA G OB 9 G O C G D

12 Write the following in scientific notation 636000000

12. Write the 6110Ting in sdentific notation

The table displays the number of doctors and nurses working in the US Years after 2000 US Doctors US Nurses 0 1 2 5 7 8 9 693345 708463 72034 780662 800586 816727 822016 2271340 2249440 2262020 2421000 2417150 2468340 2542760 Determine the quadratic regression model of the data for US nurses Oy 1174 6x 16536 7x 2273430 Oy 1894 6x 19536 3x 2281912

Which of the following is equivalent to Select one a O O 1 64c O 4c 16c O 64c 9 10 4 C 4105

Solve each of the following equations a 3x 2 81 b 8 105

Olve each of the following equations. b. IOS a 3x2 81

Find the equation of the quadratic function satisfying the given conditions Hint Determine values of a h and k that satisfy P x a x h 2 k Express the answer the form P x ax bx c Use a calculator to support the result Vertex 1 2 through 6 145 CIU The equation of the quadratic function satisfying the given conditions is P x 16x 32x 14 Simplify your

Given the function P x 3x 4 9x 3 6x 2 intercepts are its intercept is its

Given the function P(x) 3xA49xA36xA2. its intercept is its intercepts are

answer 2 Points N Show Work i g x h x f x 4 3x 4

4 3x 4 swer 2 Points h(x) Show Work O

8 Minimize K 3x 15y given the following constraints y x 6 y 4 Y 7 5 The minimum is at

1 Consider the following IBVP for the heat equation on the line Ut 502x u x 0 f x where f x 0 x t 0 1 for 2 3 for 3 x 4 for x 4 a Find the solution and express it in terms of error functions b Sketch the graph of u x t when t 0 t 0 01 and t 0 1 c Using the formula that you found in part a check that lim u 3 5 t f 3 5 showing all work 0

Find the area of the shaded region enclosed in a semicircle of diameter 8 centimeters The length of the chord AB s 4 centimeters Hint Triangle ABC is a right triangle The area is approximately square centimeters Do not round until the final answer Then round to two decimal places as needed 4 8 B Q

8 Simplify the given expression 8x y 8x y O 64x6y4 O 16x64 O 8x4y 8x y

8. Simplify the given expression. (8c4y3) (8c2y) 0 64c6y4 O 16c6y4 O 8c4y3 8c2y