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april 2020
13

Mathematics Questions and Answers April 13, 2020

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then a and b a f(x) 1 ebx and f(0) 1, f(1) Input your answers as an integer or a real number with two decimals

Given the function 7x1 0 f(x) 7x2x0 Calculate the following values f(1) f(0) f(2) Check Answer

The function f(x) is graphed below. Determine whether the degree of the function is even or odd and whether the function itself is even or odd. 100 90 80 70 R 60 50 40 30 20 10 10 9 8 7 6 5 4 3 21 1 3 4 5 6 7 8 9 10 10 20 30 40 50 60 70 80 90 100 Of(x) has an even degree, but is not an even function Of(x) has an even degree and is an even function

Subtract the following 23 3 7 4 933 (x4)(x7) 96x11 (x4)(x7) 3x15 (x4)(x7) 3128 (x4)(x7)

Question 7 Points 2 What hampers the Feds ability to quickly react in setting its monetary policy Gathering data about the entire current money supply is difficult. The Fed officers often must bend to political pressures, or they risk being fired. Decisions enacted by the Fed often take years before they take effect. District banks are actually in

Question 6 (1 point) Listen The range for the function f(x) 3 sin x is a) Range y 2 y 3, y R b) c) Range y0y 3,y R Range y2y3,ye R Od) Range y 3 y3,ye R 2

Discuss, and illustrate with examples, how to solve differential equations of the forms dydx f(x) and dydx f(x). and (2) and (3) of this section. dy Solve f(x, y) (2) dx Subject to y(x) Yo dy Solve f(x, y, y) (3) dx Subject to y(x) Yor y(x) y Find a function whose second derivative is y 12x2 at each point (x, y) on its graph and y x4 is

Bills Birdhouses COSTS REVENUES Quantity Total Marginal Quantity Produced Cost Cost Demanded Price 0 SO 50 0 80 80 2 102 2 80 3 157 3 80 4 217 4 80 5 285 5 80 6 365 6 80 7 462 7 80 8 582 8 80 Refer to Table 1412. At what quantity does Bill maximize profits 3 07 6 Total Marginal Revenue Revenue

x 0.5 0.28 0.7 x (Type a whole number or

Find the limit 5x919 lim 1 22 x2 3x 10

me revenue function R(x) and the cost function C(x) for a particular product are given. These functions are valid only for the specified range of values. Find the number of units that must b oduced to break even. R(x)200xx C(x)10x7800 0x 100

Consider the system of differential equations dar 1.6x 0.5y, dt dy 33 2.5x3.6y. dt For this system, the smaller eigenvalue is 3.68 and the larger eigenvalue is 1.52 Note you may want to use the WolframAlpha widget (right click to open in a new window). Enter your functions and domain, and then click submit. If y Ay is a differential equation,

Worth now considering interest at 6 compounded quarterly. 2. what is the accumulated amount in after 3 years of 6,500 php invested at the rate of 12 per year compounded semiannually. 2

Graph the equation. Let x36,24, 12, 0, 12, 24, 36. 1 y 12 Complete the table below. y 36

Question 6 Write an equation for a rational function with Vertical asymptotes at x 1 and x 6 x intercepts at x 4 and x 3 y intercept at 3 y Question Help Video Message instructor Submit Question

A coffee shop sells assorted types of coffees, and blends them into their signature blends. Kenyan sells for 3.60 per pound, and Jamaican sells for 7.80 per pound. A customer pays 37.95 for 5 pounds of a blend. How much of each type of coffee goes into the blend Amount of Kenyan coffee po pounds Amount of Jamaican coffee pounds

4. Sensemaking of Derivative Rules through finding areas. Use the area concept to explain the power rule (x2) 2x and product rule (fg) gfg .This will be important when we prove the Fundamental Theorem of Calculus. Hint Square with sides X , and rectangle with sides and f

The average amount of snow per season in Trafford is 44 inches. The standard deviation is 3 inches. Find the probability that next year Trafford will receive the given amount of snowfall. Assume the random variable is normally distributed. Refer to the table of values Area Under the Standard Normal Distribution) as needed. Part 02 Part 1 of 2 (a)

The altitude of a triangle is increasing at a rate of 2 centimetersminute while the area of the triangle is increasin at a rate of 2.5 square centimetersminute. At what rate is the base of the triangle changing when the altitude is 7.5 centimeters and the area is 99 square centimeters

Given the returns, risk, and correlation E (r) PSB Portfolio S 0.11 0.4 0.41 Portfolio B 0.065 0.16 Riskfree 0.03 What is the weight of Portfolio B for the min O 0.8104 0.7823 0.8536

(1 point) Find the vector equation for the line of intersection of the planes 4x 5y 5z 3 and 4x 5z 2 r ,0) t(25, ).

(Automobile Production). Table 1 shows the retail market share of passenger cars from Ford Motor Company as a percentage of the U.S. Market. Table 1 Ford Motor Companys Market Share Year Market Share 1975 23.6 1980 17.2 1985 18.8 1990 20.0 1995 20.7 A.What quadratic equation, M(x), best fits the data, where x 0 corresponds to 1975 (Use 4 decimal

Which is a pair of corresponding angles 1 5 6 (A) angle 1 and angle 6 B angle 3 and angle 6 Canglel and angle 4 angle 2 34

What is the volume of the sphere (Round to the nearest hundredth. Use the key in your calculation. 12 m

. Find the exact value of each trigonometric expression. a) cos1 (2 () 2 3 3 (b) tan ()

Use the special factoring methods to factor the following binomial. If it cannot be factored, indicate Not Factorable. 121y(8)z(2)256x(6)

Previous Ansuser 3 7 and 4 4 Evaluate tan 240

Is this a function A yes B 10 10 2 3 3 4 57 7 2 5

Find the product and write it in lowest terms. 6 54 11 4

How long will it take 20 machines to complete a task, given that it takes 10 days for machines to complete the same task Ddays C

1. Use transformations of the graph of the parent function f(x)1 to graph g(x) 1 2. X X3

Solve. 18x11102 A. x 2 or x1 B. x 1 or x 2 C. x32 or x 12 D. x12 or x 32

Using data from 1920 and projected to 2030, the percent P of men 65 years of age or older in the labor force can be modeled by P0.000078x0.0107x 0.182x 64.68 where x is the number of years past 1900.t (a) What xmin and xmax should you use to view this graph for values representing 1900 and 20307 xmin xmax (b) If Pmin 0, use a table to determine

5) Put a check beside each of the following that represent a polynomial expression. 3x5x3 Vx5x4 x1 3 1 3x8 5 6 x 4x1 (x2)(x4) sin(x3)

Use the given functions to find g (f (a)), and give the restrictions on . f(x) and g(x) 3 g(f(x)) where x

Name the corresponding sides and the corresponding angies of the following pair or similar triangles. W H Y A X K Side WX corresponds to side Side WY corresponds to side

What is the smallest zero of h(x) x3 2x 5x 6 6) What are the Keyword(s) 7) What do they mean 8) What is the question asking you to do 9) How could you solve this problem 10) What is the best answer

nd the sentence that uses quotation marks correctly. 1. A. Sara told Scott, I passed the test B. Gunner replied, I would never do that

Lesson 4 Positive Rational Exponents Cool Down Third It 1. What is 23 raised to the third power 2. Write 23 using radical notation. 3. What two wholenumber powers of 2 does 23 come between

Determine the perimeter and area of a rectangle with lengh 28 feet and width 34 feet. Perimeter Select an answer Area Select an answer

Get a similar question You can re Score on last try 0 of 1 pts. See Details for more. Next question Write an equation for the polynomial graphed below 6 5 4 5 4 3 2 1 3 1 2. 12 3 2 3 4 5 4 5 6 Q y(x)(.5)(x2)(x1)(x 1)(x3) x Question Help Video Message instructor

Points 0 of 1 An entrepreneur invests in a new play. The cost includes an overhead of 36,750 plus production costs of 1500 per performance. A soldout performance brings in 2250. Assume every performance is sold out, and let x represent the number of soldout perfo a. Write the cost function, C. C(x)367501500x (Type an expression using x as the

skipped part. Tutorial Exercise Calculate the derivative of the function. 3x9 s(x) 4x 1

Suppose you are analyzing a company with the following characteristics. If the risk free is 3 and the expected market risk premium is 6, what is this companys WACC Answer in percent showing two decimal places. Market value of debt 500 million Market price of each share 20 Number of shares outstanding 75 million Tax rate 18 The average yield on

Determine how many onetoone correspondences are possible between two sets, n, s, z, w, v and 1, 2, 3, 4, 5, given the following conditions. a. If in each correspondence n must match with 3. b. If in each correspondence n must match with 3 and s must match with 5. c. If in each correspondence n, s, and z must match with an odd number. a. There are

Use the table to write the given Roman numeral as a HinduArabic numeral. Roman Numerals I V X L C D M HinduArabic Numerals 1 5 10 50 100 500 1000 XVIII XVIII (Type an integer.)

Population Growth in Clark County A certain county in Nevada is one of the fastestgrowing metropolitan areas in the United States. The population of this county from approximated by the function P(t) 43,059386,3942 234,633t 273,288 (0 st4) where t is measured in decades, with t 0 corresponding to the beginning of 1970. (a) was the population of

7.2 What does it mean if the slope of a line is undefined Choose the correct answer below. A. A line is vertical when its slope is undefined. B. A line is horizontal when its slope is undefined. OC. A line is neither vertical nor horizontal when its slope is undefined. OD. It is impossible for a line to have an undefined slope.

da DA, 2 Evaluate the double integral (x2y) Where D is bounded by yx, yx, x0. D

11. Let f(x) x2 x2 a) Sketch a graph of fusing technology to determine whether fis a one toone (1to1) function b) Iff is a onetoone function, find f and sketch a graph of fusing technology c) Domain of f Domain of f (iff is a onetoone function) Range of f Range of f (iff is a onetoone function)

yx1 y 2x3 Graph the system. Then write its solution. Note that you can also answer No solution or Infinitely many solution 2 X

An office copier has an initial price of 2,200. A service contract costs 300 for the first year and increases 30 per year thereafter. It can be shown that the total cost of the copier after n years is given by C(n) 2,200 285n 15n. The average cost per year for n years is given by C(n) C(n) n Complete parts (A) through (D). (A) Find the rational

Sketch a graph of the polar equation. re5, 00 (reciprocal spiral) 2 3 2 2 3 2 1 2 O 3 25 3H 2 2 3 N 21 0 3 2 1 1 2 3 2 0 3 2 3 2 3H 2 3 2 2 3

Three cable channels (95, 97, and 103) air quiz shows, comedies, and dramas. The numbers of shows aired are shown here. Type of show Quiz show Comedy Drama Channel 95 Channel 97 Channel 103 7 5 1 3 3 2 7 8 4 If a show is selected at random, find these probabilities, expressed as reduced fractions Part 03 Part 1 of 3 (a) The show is a quiz show or

D Question 2 GOOD LUCK How many significant figures does the result of the following operation contain 8.52010 x 7.90 05 06

d the countrys population in year 21 as p A a) 1 million b) 73.739 million a) 45.72 million b) 72.223 million a) 45.72 million b) 70.737 million a) 1.021 million b) 69.282 million

Select the correct term for the symbol below first quartile margin of error standard score E

Use KKT to solve the following problem min (x2y) subject to 5xy3 2xy6 Find the value of the variables and the Lagrange multiplier. Express your answers in fraction form. 8 y X

show that f(x) 24xx2 when g(f(x)) x2 and g(x) 2 f(x)2

If you lend 3500 to a friend for 15 months at 8 annual simple interest, find the future value of the loan.

If CD DE 88, CF s 54, and EF 35, what is CE E F D C 20 CE

Determine whether the graph represents a function. If it doe range. OG Yes No

The monthly profit from the sale of x units of a product is P 60x0.04x2 12,000 dollars. (a) What level of production maximizes profit units (b) What is the maximum possible profit

A roast turkey is removed from an oven when its temperature has reached 185F and is placed on a table in a room where the ambient temperature is 75F. (Round your answers to the nearest whole number.) (a) If the temperature of the turkey is 150F after half an hour, what is the temperature (in F) after 50 minutes T(50) OF (b) After how many minutes

m2 Convert the numeral to a numeral in base ten. list K 33,6208 n3 33,6208 n4

olve the given initialvalue problem by finding, as in Example 4 of Section 2.4, an appropriate integrating factor. (x y 7) dx (y xy) dy, y(0) 1

your work. 1. Use the method of Lagrange Multiplier to find the point in the plane 2x2y23 that is closest to the point (2,0,1).

Convert a speed of 685 mih to units of feet per minute. Also, show the unit analysis by dragging components into the unitfactor slots. 685 mi 5280 ft 60 min 1 h Answer Bank 60s 12 in 60 b 10 3 1 min Incorrect

Perform the calculation. 59 6 72 48 59 672 48 (Simplify your answers. Type an integer or a fractio

A pulley rotates through 94 in one minute. How many rotations does the pulley make in an hour The pulley makes rotations per hour. (Simplify your answer. Round to the nearest whole number.)

Graph the set xx1 on the number line. Then, write the set using interval notation. 7 6 5 4 3

ay Use implicit differentiation to determine given the dx equation xy tan(x) cos(y). dy dx

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

Find the exact value of the following expression. sin ( 2 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. sin 2 2 (Simplify your answer. Type an exact answer, using it as needed. Use integers or fractions for any numbe in the expression.) OB. The function is not defined.

Answer the questions below from A D. The number of team y remaining in a single elimination tournament can be found using the exponential function y 128(2), where x is the number of rounds played in the tournament. A. Determine whether the function represents exponential growth or decay. Explain B. What does 128 represent in the function C. What

Question 7 1) Plot the inequality on the given number line. Toggle the Dot or Open Dot button to place the correct dot on your line before you submit your answer. 1 100376543310123 SOT10 Clear All Draw o 2) Write the inequality using interval notation. Use oo (two lower case os) for oo.

Rewrite csc 1 tan 9u 2 CSC tan 2 9 as an algebraic expression in u. 0

9. What do the xintercepts of the graph represent in the context of the problem situation 10. How does increasing the cvalue from 0 to 6 translate the graph Why 11. How does increasing the cvalue from 0 to 7 translate the graph Why 12. What happens to the parabola when the cvalue is increased (c0) 13. What happens to the parabola when the cvalue

Write a piecewise function that models the cellular phone billing plan described below. Let x represent the number of minutes used and C(x) represent the cost for those x minutes. Then graph the function. 25.00 per month buys 350 minutes. Additional time costs 0.20 per minute. Fill in the missing values or expressions for the piecewise function

Choose the correct graph below. O A. AY 30 G OB. G O c. 6 B E

5. Assume that 1,000 is deposited in the bank, and that each bank loans out all of its excess reserves. For each of the following required reserve ratios, calculate the amount that the bank must hold in required reserves, the amount that will be excess reserves, the deposit expansion multiplier and the maximum amount that the money supply could

Write a linear function that describes the poverty threshold in terms of years after 1980. Use x for years threshold. The linear function is T(x) 4200 230x X Part 2 of 3 Estimate the poverty threshold in 2010. The poverty threshold was approximately 11,100 in 2010. Part 23 Part 3 of 3 In what year will the poverty threshold pass 16,000 per year G

Exposure to radiation (rem) is measured for certain distances (ft) from the source of radiation. Create a scatterplot for the data. Distance (ft) 6 9 10 13 17 25 Exposure (rem) 123 54 44 26 15 7 question 1 point(s) pc Choose the correct scatterplot below. OA. Exposure to Radiation Q 200 160 Distance (ft) 120 80 40 B. Exposure to Radiation 200 a

Sims Company began operations on January 1. Its cost and sales information for this year follow Direct materials 30 per unit Direct labor 50 per unit Variable overhead 20 per unit Fixed overhead 8,800,000 per year Variable selling and administrative expenses 11 per unit Fixed selling and administrative expenses 4,250,000 per year Units produced

5 Find an equation of a line perpendicular to y 2 that contains the point (4,3) 3

5(x4) Consider the function f(x) x2x8 (a) To use a limit and find its horizontal asymptote what must be done first (b) Find the horizontal asymptote as xco using your limit.

6. Suppose you want to place Os to the right 4 bits of a byte and leave the other 4 bits unchanged. What mask must you use together with what operation (4 points )

Multiply both sides of the equation by the LCD and solve the resulting quadratic equation. (Enter your answers as a commaseparated list.) x 7 x x

2. Determine the real values of x for which the series 32(1)(3x5) is convergent and then find its sum for x 1. 501

tions Que Packnacks can sell backpacks for 40 per back

What are the domain and range of this linear function f(x)3x2 Domain x20 Range

x y 211 18 05 12 21 Use the given information to create a possible representation of the relation. Explain what other information would add more detail to the graph. Key Features yintercept is 3 xintercepts are 4 and 2 Representation yintercept is 4 and the slope is 5 An axis of symmetry passes through the point (5, 3). The parabola opens up.

How many subsets does the set F 1, 2, 3, 4, 5 have subsets

1 Find the domain of the following functions. a) f(x)log, 2 log(x2) 1 log(22) b) f(x)283229 224 f(x)

B C fo D E F The bond pays a coupon rate of 6.5 and pays interest semiann The settlement date is 5052021 The bond matures on 5152045 The par value is 1000, or 100 of par. The yield to maturity is 8. Calculate the todays price using the PRICE function (as a of pa Calculate the modified duration of the bond, cell E24 Coupon rate

Find the perimeter of this hexagon. 91 91 91 91 91

10. Consider the curve defined below. Show the binormal vector is the zero vector when t2. r(t) eiej k 3

2 Points DETAILS SMITHNM13 13.1.026. A single card is selected from an ordinary deck of cards. The samp E Hearts (red cards)

Find the absolute maximum and absolute minimum values of the function f(x) (x2)(x5) 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

Exxon Ford Motor IBM General Motors Texaco . What do the companies in the list represent O The top five American businesses in terms of revenue O The top five American businesses in terms of multinational companies The top five American businesses in terms of assets The top five foreign owned businesses in the United States

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