Algebra question and answers for December 22, 2023
- Q The tax rate is 6.8%. How much in dollars is the tax on $9.95? Enter only the tax amount, not the total amount of the purchase. Round to the nearest...
- Q Let {x, y, z, w} be an independent set in R". Is the following set independent? Support your answer. (x-y, y-z z-x}
- Q A truck can be rented from Company A for $120 a day plus $0.20 per mile. Company B charges $40 a day plus $0.60 per mile to rent the same...
- Q Gaby's piggy bank contains quarters and dimes worth $10.20. If she has 54 coins in all, how many of each does she have?Gaby has quarters and ...
- Q Dujuan bought a car for $17000, and ever since the car's value has decreased exponentially by 19% per year. How long will it take for the car's value to be...
- Q If possible, sketch a graph of a degree 4 polynomial with 3 turning points that's an even function. If it's not possible, explain why.
- Q Find the LCM of 12 and 30.
- Q Solve the following equation if 0 ? x ? 2?.(Write your final answer(s) here and include your work in your File Upload for full credit.)cos 2x = - ?2/2
- Q -Prove the statement by induction.1+4+4 +4 +...+4^n-1 = 4^n - 1 / 3
- Q You have 180 ft of fencing to construct the boundary of a rectangle. The rectangle haslength I and width w. Write the perimeter P and area A of the rectangle...
- Q Consider the function f(x) = |sin(x/2|(a) Compute the Fourier coefficient a0 for this function.(b) Explain (without making any computation) why by must be zero for all k.
- Q Solve the equation log 2(x+3)+ log2 (x+2) = 1
- Q You deposit $4000 in an account earning 2% interest compounded continuously. The amount of money in the account after t years is given by A(t) = 4000e0.02tHow much will you...
- Q Find the future value of an ordinary annuity if payments are made in the amount R and interest is compounded as given. Then determine how much of this value is...
- Q Write this number in standard form.Two million four hundred sixty-nine thousand five hundred fifty-two
- Q Is the number 56,240evenly divisible by thenumber 10?YesNo
- Q Is the number 996evenly divisible by thenumber 2?YesNo
- Q For a given arithmetic sequence, the first term, a?, is equal to -18, and the 40th term, 40, is equal to -174. Find the value of the 10th term, a10.
- Q Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. a=7; r = -3a. Find the 5th term...
- Q Find the open interval of convergence of the power series?m=1 (x ? 8)^m /(m+8)7^mYour answer should be an interval of the form (a, b). Enter the values of a and...
- Q Find the sum of the arithmetic sequence. 1+3+5+ ... +1823
- Q R= 4 2 2 4R is the matrix of a linear transformation consisting of a rotation with angle ? and a scaling.Determine ? and r.
- Q Find the sum of the first n terms of the following arithmetic sequence. a1 = 13, d = 75; n = 10
- Q Find a general term an for the geometric sequence2, 4, 8, 16, 32, ...
- Q Find the sum of the arithmetic series using a formula. 7+14+21+ ... +798
- Q Consider the sequence 300, 360, 432,...(a) Find the fourth term of the sequence:300, 360, 432, Number. ......(b) Find a formula for the nth term of the sequence anThe nth term...
- Q f(x) =-3/2*(3)^-x+3/2, for f (2)For the following exercises, evaluate each function. Round answers to four decimalplaces, if necessary.
- Q (No Work = No Credit) Two polynomials P and D are given. Use Long Division to divide. P(x) = 6x^4-3x^3+29x, D(x)=3x^2+13
- Q Which of the following is true about the graph of the polynomialp(x)= -2x+4x-3?A) p(x) ? ? as x?-?, p(x)?? as x??, y? int: (0, -3)B) p(x) ? ? as x...
- Q The sum of three integers is 389. The sum of the first and second integers is 69 morethan the third integer. The third integer is 60 less than the first...
- Q Which could be the graph off(x) = (x + a)^5?
- Q Which is true about the minimum output value of the function.f(x) = mx +nx + p?OA) minimum value is f(-n/2m) only when m is positiveOB) minimum value is f(-n/2m) only...
- Q show that distance between the points (t, 2) and (2,1) is equal to 2 if only t=0 or t= 4.
- Q Draw an undirected graph represented by the given adjacency matrix. 1 2 0 12 0 3 00 3 1 11 ...
- Q Determine if the given expression is a polynomial. If it is, state the degree of the polynomial. -15x +7x?Select the correct choice below and, if necessary, fill in the answer...
- Q Smith's family, with total gross income of $144000 per year, wants to purchase a home. If %33 of their income goes to monthly payment and the interest rate is 3%...
- Q Suppose that the number of crates an agricultural product is given by z =11xy-0.0002x - 5y/0.03x + 4y where x is the number of hours of labor and y is...
- Q An auto dealer's sales numbers are shown in the table below. Find for each month the mean, median, and mode prices of the cars she sold. Round your answers to...
- Q A bank charges an annual fee of $15 to have a checking account with them. The bank also charges $0.05 per check you write.Which function below models the total cost...
- Q If $325,000 is invested in an account earning 6.5% annual interest compounded continuously, then how much interest is accrued in the first 3 years? Include a dollar sign in your...
- Q Using the function you identified in the previous problem, what would you expect to be the total cost of the checking account if you write 58 checks during the year?f(x)...
- Q Evaluate.i=4?7 (i-8)(Simplify your answer.)
- Q The point (-12, 16) is on the graph of y = f(x). Find the corresponding point on the graph of y = g(x), where g(x) = (1/4)f(x).The corresponding point on...
- Q the charges a fee of $125 to design an ad with an additional $5 per daythe ad appears in the newspaper. Match each component of the slope-intercept form of a...
- Q Let f: Z -> Z be given by f(x) = x^2 + 1. Let P(S) denote the power set for a set S. Then,| P(f^(-1)(1) UNION f^(-1)(2) UNION f^(-1)(3)) |...
- Q A town has a population of 4000 and grows at 3.5% every year. To the nearest year, how long will it be until the population will reach 7500?
- Q Given that sin? = 15/17 and that angle terminates in quadrant I, then what is the value of cos ??
- Q Consider the functions defined by f(x)=6x-2, g(x)=-x-4x+1, k(x)=x-2|8. f(x-2)9. g(-3)+110. k(x-3)
- Q .In Exercises 27-38, use the fundamental identities to simplify the expression. Use the table feature of a graphing utility to check your result numerically.
- Q Solve for x to the nearest 10th.1.4 = 250(0.5)?/16
- Q Determine whether each pair of functions are inverse functions.f(x)=2x+8g(x)=1/2x-4
- Q In AQRS, the measure of S=90, RQ = 85, SR = 36, and QS = 77. What ratio represents the cosecant of Q?
- Q Determine the amplitude and period of each graphed below.5. cos 240= 120/x6. sin 315=x/10Consider the functions defined by f(x)=6x-2, g(x)=-x - 4x+1, k(x)=x-2)
- Q Answer the questions about the following function.f(x) =x+8/ X-2(a) Is the point (3,13/3) on the graph of f?(b) If x= 1, what is f(x)? What point(s) are on the graph...
- Q Kaylee invested $830 in an account paying an interest rate of 6.6% compounded how long would it take, to monthly. Assuming no deposits or withdrawals are made, the nearest year,...
- Q Find the exact value of each trigonometric function without a calculator. (Use the Unit Circle)1. sin 3152. tan(-?/6)3. cos (2?/3)
- Q Add the following terms if possible.3?32 +5?50Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. 3?32 +5?50= _____ (Type an exact answer,...
- Q Simplify the expression.?63?63 = ____(Type an exact answer, using radicals as needed.)
- Q A tree casts a shadow that is 38 feet long, with an angle of elevation of 32 degrees when the shadow meets the ground (As shown in the diagram below)....
- Q The average speed on Route 17 is 55 mph. Joe is traveling at 61 mph. What is Joe's deviation from the mean?(1) 104(2) 6(3) -6(4) -7
- Q Evaluate the expression without using a calculator.8^(4/3)Rewrite the expression using a radical.8^(4/3) = ____(Do not evaluate.)
- Q Add the terms if possible.?32 +7?2Select the correct choice below and fill in any answer boxes within your choice.A. ?32 +7?2 = ____B. The terms cannot be simplified.
- Q You deposit $750 each month into an account earning 7.9% interest compounded monthly.a) How much will you have in the account in 17 years?b) How much total money will you...
- Q Solve for x, rounding to the nearest hundredth.ex = 5
- Q Use the product rule to simplify the following expression. Assume that variables represent nonnegative real numbers.?4x * ?8x?4x * ?8x = ____(Type an exact answer using radicals as needed.)
- Q Simplify by reducing the index of the radical. ??x?
- Q Graph the trigonometric function.y = 2 csc 3xStart by drawing three consecutive asymptotes. Then plot two points, one on each side of the second asymptote. Finally, click on the graph-a-function...
- Q Solve the equation: log?(3x+5) = 1/2. Select all applicable answers.Select all that apply:-103No Solution
- Q Given two terms in a geometric sequence, write the explicit equation and determine the 8th term.t(0) = 229,376 and t(3) = 3,584 Explicit equation: _____________________8th term: _____________________
- Q Let f(x) be a function, and f^(n) ~= 0 for n ? 3. Use a second order Taylor series expansion to show that if f(x) achieves a maximum at x...
- Q What are the roots of the function f(x) = (log(3^x) - 2 log(3)) (2^x -1) with x?R?
- Q The information a? = 2 and an = 2an-1-7 defines a recursive sequence. Fill in the blanks below to find the first 5 terms of the sequence:a? = 2a? =...
- Q A circular flower bed is 24 m in diameter and has a circular sidewalk around it that is 3 m wide. Find the area of the sidewalk in square meters....
- Q A business has found that it can sell 670 items if it sets its price to $66.91. However, if it lowers its price to $43.71, it can sell 950 items.(a)...
- Q Find the product.(3x+7) (x-3x+2) ? (3x + 7)(x - 3x + 2) =
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