Algebra question and answers for December 14, 2023
- Q The total cost of attending a university is $15,700 for the first year. A student's parents will pay one-fourth of this cost. An academic scholarship will pay $3,000. Which amount...
- Q The perimeter of a rectangular outdoor patio is 66 ft. The length is 5 ft greater than the width. What are the dimensions of the patio?
- Q What is the total cost to repay a $5500 loan with a 5% interest rate for a term of 2 years?
- Q Convert the following degree measure to radians.14520'
- Q Find the angle of least positive measure (not equal to the given measure) coterminal with A.A=28 59'
- Q Sketch an angle 8 in standard position such that 8 has the least possible positive measure and the point (-3,4) is on the terminal side of 0. Then find the...
- Q Find the present value that will grow to $2000 if the annual interest rate is 9.5% compounded quarterly for 6 yr.
- Q If you don't have a calculator, you may want to approximate (2, 187.0156)4/7 by (2187)4/7 = 81. Use the Mean Value Theorem to estimate the error in making this approximation.
- Q Let f(x)=x + 2x and g(x)=9-x.Find (f/g)(x) and (f/g)(8).
- Q Consider the two groups and G = {< x, y > |x = 1; y = 1; xy = yx}. G' =< x,y> x = 1; y = x; xy...
- Q State the definition of a p-series and the p-series theorem from class. Give an example of a p-series that converges and one that diverges.
- Q Solve and graph the solution set.1<t-4 and t-2?8
- Q Question 9. Let H: R 3?R 3 be the mapping defined by H((a, b, c)) = (a + 2b, a - c, 2a + 2b + 2c).(i) Find H((1,0,1)).Then determine...
- Q A box has edges from (0, 0, 0) to (3, 1, 1), (1, 3, 1), and (1, 1, 3). Find its volume and also find the area of each parallelogram...
- Q Approximately what range of heights can be reasonably reached from a 24-foot ladder (i.e., 24 feet cannot reasonably be reached because the ladder will fall backward and 0 feet cannot...
- Q Use the information below to determine which equation belongs to which sibling, as well as the object which was thrown and the age order.1. The youngest launched his object from...
- Q Suppose Quinton borrows a student loan of $8,500 at an interest rate of 6.5%. Once graduating from college, he is expected to pay that money back over the course of...
- Q A national park has a population of 3000 bears in the year 2016. Conservationists are concerned because the bear population is declining at a rate of 5% per year. If...
- Q Let x = (2, -3?), y = (?, -1) and z= (? -3,1) be vectors in R.Part(a) Find the value(s) of ? such that y and z are parallel. Justify...
- Q Let x = (-2, 3a), y = (-a, 1) and z = (3-a,-1) be vectors in R.Part(a) Find the value(s) of a such that y and z are parallel. Part(b)...
- Q dy/dx=2y (2x4 + 3 cos x - 2)a. Find the general solution.b. Find the particular solution using the boundary condition y(0) = 15.
- Q The median starting salary for an entry-level position at a certain business is $56,000 per year, but the salary could differ from the median salary by as much as $5,000...
- Q a. Suppose that a stock's price is rising at a rate of 8% per year and that it continues to increase at this rate. If the value of one share...
- Q Angle ? is in quadrant III and angle ? is in quadrant IV. If sin ? = - and cos ? = 1/2, find cos(? + ?).
- Q Complete the following sentence so that the resulting statement is true.If a line is horizontal, then its slope is_ If a line is vertical, then its slope is _If a...
- Q Given that the constant term in the expansion of (3/x - x3/m)4 is -27, make use of thebinomial theorem, without expanding, to determine m.The answer is m=
- Q Let f(x) = 5x - 2 and g(x) = 2x + 2. Find the function or value.a) (f - g)(x)b) (f.g)(x)c) (fog)(4)
- Q The first aircraft has 72 more seats than the second aircraft. The third aircraft has 51 fewer seats than the second aircraft. If their total number of seats is 432,...
- Q Find the terminal point P(x, y) on the unit circle determined by the given value of t.t = 5?/2P(x, y) =
- Q Jim places $10,000 in a bank account that pays 13.5% compounded continuously. After 2 years, will he have enough money to buy a car that costs $13,1047 if another bank...
- Q Jam places $10,000 in a bank account that pays 13.5% compounded continuously. After 2 years will he have enough money to buy a car that costs $13,1047 if another bank...
- Q A column of 150 PCF concrete containing 60% slag and 45% fly ash and a retarder is to be poured 20 feet deep at a temperature of 60 degrees and...
- Q A blimp, suspended in the air at a height of 500 feet, lies directly over a line from a sports stadium to a planetarium If the angle of depression from...
- Q Are the following statements true or false? If true, prove the statement. If false, give a counterexample.1. A matrix A? Rnxn with n real orthonormal eigenvectors is symmetric.2. Assume that...
- Q Evaluate the expression without using a calculator.log 1/100
- Q Find the domain of the logarithmic function.f(x) = log (14-x)The domain of f(x) = log (14-x) is(Type your answer in interval notation.)
- Q Find n(A) for the selA=(700, 701, 702, 7,000)A. n(A)=7,000B. n(A)=4C. n(A)=6,301D. n(A)=6,300
- Q f is a polynomial function with leading coefficient -10 and degree 30.Describe the end behavior of the graph of f.a) The graph goes up to the left and up to...
- Q A person standing close to the edge on top of a 150-foot building throws a baseball vertically upward. The function s(t) = -16t2 +94t +150 models the ball's height, in...
- Q Simplify (fog)(x) forf(x) = 5x10, g(x) = -4x + 1.Do not enter any spaces in the answer.(fog)(x) =
- Q f(x) = 3x - 2g(x) = 4x + 6x 1Find the value of (fg)(3).
- Q In order to purchase a home, a family borrows $101,000 at 3.2% compounded monthly for 15 yrs. What is their monthly payment? Round the answer to the nearest centCHEEA. $855.68B....
- Q Find the inverse of the function.f(x) =- 3x - 4/ - 8x + 7
- Q A speed boat bought for $13,000 depreciates at 10% per year compounded continuously. What is its value after 7 years? Round the answer to the nearest dollar$6456$5956$26179$6356none of these
- Q Determine the size of the hole so that the surface of a tank with a horizontal cross section of 1.50 m2 drops at 160 mm/s. The loss over the hole...
- Q Brad decides to purchase a $200,000$200,000 house. He wants to finance the entire balance. He has received an APR of 3.2%3.2% for a 3030-year mortgage. Over the course of the...
- Q Amir deposits $15,000 at the beginning of each year for 15 years in an account paying 5% compounded annually. He then puts the total amount on deposit in another account...
- Q 7) An auditorium has 25 rows. The first row has 10 seats and each row after the first has one more seat than the row before it. Write a rule...
- Q Suppose a 40-year-old person deposits $8,000 per year in an Individual Retirement Account until age 65. Find the total in the account with the following assumption of an interest rate....
- Q did ministrator of a country museum is considering increasing the price of an annual pass by 1% from $50 to $50.50. at the current price, the museum sells 4000 annual...
- Q The total revenue function for a certain product is given by R = 1060x dollars, and the total cost function for this product is C = 30,000+40x + x dollars,...
- Q Graph the solution set of the following equation: (x + 1) + (y-2)2 = 9. Label your graph.
- Q 2x-y+z=6x-3y +z = -2x + 2y-z = 3draw a sketch of the three fields and write an explanation about the existence of the SPL solution
- Q A quadratic function is defined by the equation f(x) =-1/2 (x + 5) - 11.If the range of f(x) is R: {-95.5}, then determine the domain of f(x).
- Q Write an equation for the line perpendicular to f(x) = - 2x + 3 and passing through the point (2,0).
- Q By transforming each point on f (x), determine the resulting set of ordered pairs that define g(x) = f (x) - 4. Submit your answer is the form (a,b).Point (-2,5)...
- Q Write the equation of the linear function f that satisfies f(-4)= 8 and f(8) = -1.
- Q Is the relation R={(-2, 5), (3, -4), (0, 3), (3, 2), (-4, 3)} a function?Briefly explain why or why not.State the domain of the relation. Use correct notation.State the range...
- Q Rewrite the relation 2x-y/3= x - 2 as a function f of x, using function notation.Determine f(-1).
- Q A coin is tossed upward from a balcony. The quadratic function h(t) = ? 16t + 32t + 320 models the coin's height above the ground, h(t), in feet, t...
- Q Determine the solution set of the equation.-4x(2x - 3)2 (5-x) = 0Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
- Q Find the requested information for the polynomial.7x-3x +5x-1a. The leading coefficient of the polynomial is b. The leading coefficient is c. The degree of the polynomial is d. The parity...
- Q Select all solutions of the equation.-4x(x-6) (x + 1) = 0
- Q Determine the solution set of the equation. Use correct solution set notation, listing the solutions from smallest to largest separated by a comma. Do not include any blank spaces in...
- Q Find the requested information for the polynomial.3x (4x - 3)(1-x)a. The leading coefficient of the polynomial is b. The leading coefficient is re... (positiveegative).c. The degree of the polynomial is...
- Q Solve. Round your answers to the nearest tenth if necessary.(5x-6)(3x + 1) = 0Smaller solution:Bigger solution:
- Q Round your answers to the nearest tenth if necessary.7x(2x - 7) = 0Smaller solution:Bigger solution:
- Q Solve the following exponential equation.9x2. 35x = 27Select the correct choice below and, if necessary, fill in the answer box.A. The solution(s) is/are(Type an integer or a simplified fraction. Use...
- Q For the following function, what is the multiplicity of the zero -9?f(x) = x + 9x-x-9
- Q Write the equation in slope-intercept form, if possible. Enter the equation without spaces. Enter the answer in the form y=mx+b.-9x + 3y = 24
- Q Solve the following logarithmic equation.log 27 1/3 =XSelect the correct choice below and, if necessary, fill in the answer box.A. The solution(s) is/are(Simplify your answer. Type an integer or a...
- Q What value makes the expression undefined?x-1/2x
- Q 5 year, semi-annual bond, 0.11 coupon, 0.055 YTM. Par is 1000. What should be the price of this bond?A. 1,288.10B. 1,249.73C. 1,237.60D. 1,275.47E. 1,262.11
- Q What is the smallest non-negative integr z such that [r]= [116^129 +60^40] in Z7? Justify your answer.Hint: Find out simple numbers that 116 and 60 are congruent to modulo 7,...
- Q Determine the magnitude of the Fourier transform in milliunits of the function te^-2.6t u(t), for a frequency of 2 Hz.
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