Algebra question and answers for December 20, 2023
- Q Evaluate the following expressions. Write the exact value or round to four decimal places if necessary.cosh (0) =coth (1) =csch ( 2 ) =sinh ( 3 ) =sinh ( In...
- Q Complete the polar form of 5 - 5i?3. Simplify all radicals and fractions. Express the argument ? in radians, with 0 ? ? < 2?___ ( cos____+ i sin ____)
- Q Two northern towns are at record low temperatures. One is at -13 and the other is at -22. What is the difference between the temperatures in the towns?
- Q Let p be prime. Using Fermat's little theorem, prove thatn: 2?- +2 x 5?- +10?- - 1 is a multiple of p if and only if p ? 2,5. [Hint:...
- Q Use the imaginary number i to rewrite the expression below as a complex number. Simplify all radicals.-?-99
- Q When 6x-x-7 is divided by x+a, the remainder is 5. Determine the value of a.a) a=-1/2 or a=2/3b. a=1/3 or a=-2/3c. a=1/2 or a=-4/3d. a=-3/2 or a=4/3
- Q You owe $100 on a credit card. You purchase $45 worth of groceries and then make an $80 payment. What is your balance now?
- Q Using sigma notation, write the following expression as an infinite series: 1+ 3/4 + 9/16+ 27/64+.....A ?n=0 n+1B ?n=0 n+1C ?n=0 1(3/4)nD ?n=0 1(3/4)n
- Q What is the monthly payment on a 30-year mortgage of $200,000 at 8% interest per year, compounded monthly? (Round your answer to the nearest cent.) $ _______What is the total...
- Q Duffln House, which is now the largest publisher of books sold at the OHaganBooks.com site, prints three kinds of books: paperback, quality paperback, and hardcover. The amounts of paper, ink,...
- Q The function x(t) solves the differential equation x"+ xx' = 0. Determine the initial conditions for which x(t) diverges at some finite t > 0.a) x(0) = 1, x'(0) =...
- Q The bacteria population in Colony A grows according to the recursive formula. The table shows the bacteria population of Colony B at different points in time. The initial population for...
- Q Find a particular solution to the differential equation using the Method of Undetermined Coefficients.dy/dx -3(dy/dx)+7y=xe?A solution is y?(x) =
- Q Write an equation for the transformed logarithm shown below, that passes through (2,0) and (-1,3)
- Q Express as a single logarithm and simplifylog?0-log?0.4a) log?20b) log?49.6c) 2d) 3
- Q Illustrate the Cauchy Schwarz Inequality using the vectors A = (2, 0, -1), B = (0, 1, -1).
- Q A painting was purchased for $10 000 in 2000. The painting increased in value by 1.2% per year. Find the anticipated value of the painting in 2020.a) $54 735.66b) $96...
- Q Your parents invested money in college savings accounts when you and your sister were born. The balance A (in dollars) of your account after f years can be modeled by...
- Q Let V be a vector space and S = {(2, -1, 3), (1, 2, 1)). Show at least one basis of V = R^3.
- Q Rule 1: If K outcomes can occur during each of N trials of an experiment, then k? different sequences can result.Rule 2: If K1 outcomes can occur during a trial...
- Q Write the word phrase below as an algebraic expression, using b as the variable. thirteen times a numberThe translation is__________
- Q The value of a new car depreciates at a rate of 8% per year. Write an equation to represent the approximate value, V, of a car purchased for $42 000,...
- Q Use the intercepts to graph the equation.5x - 15=3yUse the graphing tool to graph the line. Use the intercepts when drawing the line. If only one intercept exists, use it...
- Q Which of the following statements is true for an angle of 10?/9 radians, rotated fromstandard position?a) Only the tangent ratio would be positiveb) Only the cosine ratio would be positivec)...
- Q The weight of an object on a particular scale is 175.2 lbs. The measured weight may vary from the actual weight by at most 0.1 lbs. What is the range...
- Q Which of the following are solutions to |x+3 |= 4x-7? Check all that apply.A. X=-4/5B. X=-10/3C. X=10/3D.X=4/5
- Q Solve the equation.7? = 75O a x ?2.219O b x ?0.093O c x ?1.875O d x ? 10.714
- Q Describe the changes to the graph of f(x) = log? x when x is replaced by 8xa) Translated up 3 unitsb) Vertically compressed by factor of 8c) Vertically stretched by...
- Q Consider the formula p=(1+i)?-1 . If the interest conversion period is shorter than the payment period, then c is :Select one:a. a number >1b. a negative integerc. a fraction <...
- Q Mrs. Appleton bought 8 pizzas and 6 bottles of soda for a party. Each bottle of soda was $2.25 and she spent a total of $124.30. Write and solve an...
- Q In ?NOP, the measure of ?P=90, PO =13, NP=84, and ON=85. What ratio represents the secant of ?N?
- Q For the curve f(x) = -2(3)? +3, the horizontal asymptote occurs at:a) y = 1b) y = 3c) y = 1/2d) y = -1
- Q You anticipate an investment of $45 000 to grow by 7% each year. How long will the investment take to double?a) 10 years 3 monthsb) 10 yearsc) 3 years 10...
- Q A high-end bracelet maker has a fixed cost of $1,192.50 and an average unit cost of $23.50 per bracelet made. If she charges $89.75 per bracelet, how many bracelets must...
- Q Justin had $44 before spending q dollars on jeans. How much money remains?The translation is $(Do not include the $ symbol in your answer.)
- Q Write and solve an equation that can be used to determine the value of x if the perimeter of the rectangle is 50 inches.
- Q Austin invested $11,000 in an account paying an interest rate of 5.7% compounded money, to the quarterly. Assuming no deposits or withdrawals are made, how much nearest dollar, would be...
- Q A couple purchased a home for $225,000. At the end of each year the home increases in value by 3%. What is the value of the home after the tenth...
- Q For the function y = -5x -4, answers parts a. through c.a. Find the slope and y-intercept (if possible) of the graph of the function.Select the correct choice below and,...
- Q On (-?, ?), there are an infinite number of solutions. Write the general form of the solution. Your answerX =
- Q Write following products with a single base. Do not simplify further.x^5.x^6=____
- Q If quadrilateral ABCD is a Saccheri quadrilateral, then which of the following are true? Choose all that apply.Select one or more:a. The lower base and upper base have the same...
- Q Solve.?8x+9 = x-3Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution(s) is/are___.(Type an integer or a simplified fraction. Use a...
- Q Find the domain of the following function. Do not use a graphing calculator. f(x) =1/x^2-2x-8The domain is___.
- Q Determine whether the vectors are parallel, perpendicular, or neither. v= (3, 2), w = (6,4)parallelperpendicularneither
- Q A sine function has an amplitude of 3 and a vertical shift of 2 units down. The equation of the function is:a) f(x) = -3 sin x - 2b) f(x)...
- Q Evaluate the sum ?=??? 4(1/5)?- .You should give an exact answer (as a fraction), not a decimal approximation.
- Q Rewrite the function in the form y = a(1+r)? or y = a(1 - r) ?. Then state the growth or decay rate.y = a(8) ?/A) y = a(1+1.208) ?;...
- Q There is a 6% tax on a $750 refrigerator. How much is paid altogether for therefrigerator?
- Q Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = (?x-1) - 4
- Q 7. The amount of snow on the grounddecreased by 12% each hour. Complete the table to show the amount of snow left on the ground after 5 hours. Round to...
- Q The quotient of two more than the square of a number and the number.
- Q Gigi is hanging a picture that is 12 inches wide, in the middle of a wall that is 29inches wide. How far will the side of the picture be from...
- Q Vaneesha left a 22% tip on a $9.75 lunch bill. How much did he pay for lunch?
- Q If an angle in a right triangle is ?/4 and the length of the opposite side to this angle is 18 cm, how long would the hypotenuse of the triangle...
- Q $2,800 was deposited into an account for 16 years with a 1.25% interest rate. What is the final balance?
- Q Consider a point on a unit circle (x, y). Which of the following is an equivalent way of stating that point?a) (cos(?), sin(?))b) (tan(?), cot (?))c) (sin(?), cos(?))d) ((1 -...
- Q The weight W that a horizontal beam can support varies inversely as the length L of the beam. Suppose that an 8-m beam can support 1100 kg. How many kilograms...
- Q What type of reflection symmetry does the graph of f(x)=sin x display?a) reflection in the line y = xb) reflection in the x-axisd reflection through the origind) reflection in the...
- Q y=ax+bx+c (blue) and y = px + q (green) are shown.Solve the system:y = ax+bx+cy = px + qThe solution(s) are: _____Enter your answers as ordered pairs (x, y). If...
- Q Determine the value of the angle whose terminal arm passes through the point (-1, ?3).a) 5?/6b) ?/6c) ?/3d) 2?/3
- Q Find the unknown side lengths in this pair of similar triangles.Complete the table with the appropriate function values of the given quadrantal angles. If the value is undefined, say so....
- Q Which describes the following sequence?3,9, 27, 81, 243, ...Arithmetic Sequence - sequence created by adding a fixed amount to each term to get to the nextterm Geometric Sequence - sequence...
- Q Let A= 1 1/2 1/3 1/4 1/2 1/3 1/4 1/5 1/3 1/4 1/5 1/6 ...
- Q Kristin wants to buy a pair of jeans that cost $25. She gets a 20% discount since she works at the store. She must pay 6% sales tax. How much...
- Q What is the sample size for a box?Select one:a. 4b. (top, bottom, side, side, side, side}c. 6d. (side, side, side, side, top, bottom}
- Q A company finds it can produce 30 heaters for $7800, while producing 35 heaters costs $9000. Express the cost, y, as Express the cost, y, as a linear function of...
- Q How long would it take to earn $450 in interest on a $12,000 investment with a 4% interest rate.
- Q Moses assumed he could run a mile in 7.3 minutes. He completed the mile in 6.8minutes. Calculate the percent error.
- Q Show whether or not the following differential equationsn are separable:Show all working outdS/dt = t (In(St )) + 8t
- Q An algae infection in a swimming pool is growing exponentially, and can be modelled by the function N(t) = 340.8 0.79twhere t represents the time in days since the infection...
- Q The following questions are about solving the following logarithmic equation.ln(4x + 2) = ln(7x)
- Q (1 point) Find a basis of the subspace of R4 defined by the equation 5x? ? 9x2 + 4x3 + 7x4 = 0.
- Q Find the surface area of the part of the plane z = 5+2x+6y that lies above the rectangle[0, 3] x [0, 6]
- Q A man gets a job with a salary of 38900 dollars a year. He is promised a 2870 dollars raise each subsequent year.His total earning for a 8-year period is
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