Algebra question and answers for December 29, 2023
- Q A small town has two radio stations: an AMstation and an FM station. A survey of 100residents produced 63 people that listened tothe FM stations, 40 that listened to the...
- Q On the graph of f(x) = sin and the domain-2x?<0, for which of the following intervals is f(x) strictlyincreasing? Choose all correct answers.Select all that apply:? (-2,-)0 (- -*)? (*....
- Q Find the latitude and longitude of the location on Earth precisely opposite of a town located at latitude 31N,longitude 123W.Select the correct choice below and fill in the answer boxes...
- Q Choose the answer that meansan angle that measures 180.A. RightB. ComplementaryC. Straight
- Q Solve the system and write the general solution.2y + 4z-5y5z = -66zX-X---=17The system has no solution.The system has a unique solution.The solution set is{COD}The system has infinitely many solutions.{01The solution...
- Q Find the radius of convergence, R, of the series.?(-1)^x +1n+6R = 1n=11?Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)
- Q 134080011 2Which number is equivalent toA 2B9CD817293121?
- Q In sketching the graph of y = 2 sin(3x ?/5) + 1. Find the ordered pair of the 4th point in the graph.(A) (17?/15, 1)(B) (17?/15, -1)(C) (17?/30,-1)(D) (17?/30, 1)
- Q Rationalize the denominator (?7)/((?10).The answer is ________ .
- Q Explain the role of symbols in reflective activity.
- Q A ferris wheel is 20 meters in diameter and boarded at ground level. The wheel makes one full rotation every 7 minutes, and at time t = 0 you are...
- Q A triangular swimming pool measures 38 feet on one side and 66 feet on another side. These sides form an angle that measures 40" To the nearest tenth of a...
- Q The expression [(x?y)? (xy?)-] / (x?y?) equals x?/y? where the exponent e of x is ____, the exponent d of y is _____.
- Q What is the solution to the inequality -6 + |2p + 3| > 7?(a) p < -8 or p > 5(b) -8 < p < 5(c) p < -2 or...
- Q Rationalize the denominator of (?a-5)/(2?a-?b)Assume that all variables represent positive real numbers.(?a-5)/(2?a-?b)= ________
- Q If (fg)(x) = h(x) such that h(x)=?4x+8, which of the following could accurately represent f and g?f(x)=?2x+4 and g(x)=?2x+4f(x) = 4x + 8 and g(x)=?xf(x)=?x and g(x) = 4x +...
- Q The 12-foot ladder leaning against a building forms an angle of 58 with the ground. How far up the building does the ladder reach?
- Q For each of the following functions, decide whether it is even, odd, or neither. Enter E for an EVEN function, O for an ODD function and N for a function...
- Q The probability of event A is P(A)=67/100 Find the probability of the complement of event A.P(A? ) =
- Q You conduct a survey that asks 250 students in your class whether they are planning to go on a trip this summer. One hundred thirty-five males respond, 93 of which...
- Q Find the sum of the first twelve terms of the sequence -9,3,15,...,123, where 123 is the twelfth term. The sum is
- Q Write the electron configuration for a boron cation with a charge of +3.
- Q You take out a 65-day single-payment loan for $609 with an interest rate of 21%. What is the amount of the maturity value?$636.72$631.77$613.66$621.31
- Q Why are fashion and clothing forms of non-verbal communication?
- Q State the identity that validate sin x = 3 cos(x-?/3) and hence show thattan x = -(6 + 9?3)/23
- Q In a recent poll of 350 likely voters, 42% of them preferred the incumbent candidate. At the 95% confidence level, which of the following would be closest to the margin...
- Q A pendulum swings a length of 40 inches on its first swing. Each successive swing is of the preceding swing. Find the length of the sixth swing and the total...
- Q Determine the behavior of the polynomial function f(x) = (x - 1)(x + 1)^4(x 3)(x + 3)^3 at each of its zeros shown each row. ...
- Q The probability that a store sells all of their ground hamburger for the week is 0.75. The probability that the store sells all of it's steak for the week is...
- Q Which of the following show a line that crosses the y-axis at -2?through (-3,5) and (2, 0)m = 3 and through (2, 4)m = -(2/3) and through (6, -6)through (-3,...
- Q (1) Find the solution of the quadratic equation x - 5x = 0 by factoring.(a) 5(b) - 5(c) 0 , - 5(d) 0,5(2)Find the solution of the quadratic equation x...
- Q Given f and g below, find (f/g)(2). Simplify your answer.f(x) =-6x^7 + 8x^2 + 16x^5g(x) = 2x^5Do not include "(f/g)(2) = " in your answer.Provide your answer below:
- Q Complete the equation describing how x and y are related.X 0 1 2 3 4 5Y 0 1 2 3 4 5
- Q Beatrice has $4,200 in a savings account which earns 6% interest compounded monthly. She made no additional withdrawals or deposits. What was the amount in the account at the...
- Q A town has a population of 7000 and grows at 4% every year. What will be the population after 13 years, to the nearest whole number?
- Q Add the following polynomials. Simplify your answer.(x + 2x + 2) +(-4+5x + 4x + 4x^3)Provide your answer below:
- Q You are going on a vacation that will cost $8,000. You plan to pay for it using an installment plan but only want to finance $2,600. What percent of the...
- Q Tom and Jeremy have an above ground circular pool with a circumference of 47.1 ft? What is the area of the pool? Use 3.14 for pi.A 23.6 ft^2B 15 ft^2C...
- Q Students will be able to think flexibly to [apply] an effective strategy to solve a problem. This question has multiple parts. Michael is saving up money to buy his first...
- Q A student earned a total of 500 points on the first 6 tests. What score does she need on the next 2 tests to average 85 points ?90 points95 points85...
- Q A tiny cube shaped space inside a computer chip has been measured to be 0.000000253m wide, 0.000000033m long and 0.00000293m high. What is its volume? Write your answer in scientific...
- Q Which number below is written in scientific notation?33.5 x 100.335 x 1043.35 x 100.063.35 105
- Q A sun in a distant galaxy has an estimated Mass of 1.493 x 1030 kg and the earth has a mass of 5.972 1024 kg, how many earths would it...
- Q Capitol City Bank approves a home-improvement loan application for $18,000 at an annual simple interest rate of 8.25% for 150 days. What is the maturity value of the loan? (Round...
- Q According to a country's census, there were 32.7 million citizens living in poverty in 2001. By 2009, the number had increased to 43.9 million. Find the percent increase in the...
- Q Write the first five terms of the arithmetic sequence whose first term is 9, and whose common difference is - 5.
- Q Sierra is a college student who plans to spend a summer in Detroit. She has saved $3,500 for her trip and anticipates spending $400 each week on rent, food, and...
- Q Suppose that the piecewise function f is defined byf(x) =S?3x + 4. -4/3<x?1-2x+5x-2 x>1Determine which of the following statements are true.Select the correct answer below:f(x) is not...
- Q Find the 7th term of the geometric sequence: 8, 44, 242, ..Answer:__________
- Q Doomfist travels at an average rate of speed of 95 miles per hour for 5 hours. How far does he travel?A 570 feetB 570 milesC 475 feetD 475 miles
- Q The range of a projectile fired at an angle ? with the horizontal and with an initial velocity of v?feet per second is r =1/32v? sin(2?)where r is the horizontal...
- Q Find the sum of the first four terms of the sequence.2, 2/5,2/25
- Q The height of an object thrown from a height of 20 feet is given by h(t) = -16t + 76t+20, where h is measured in feet and t is measured...
- Q The range of a projectile fired at an angle with the horizontal and with an initial velocity of v? feet per second isr =? ??v? sin(2?)where r is the horizontal...
- Q The regression line for a data set giving sales S, in dollars, t years after 2005 is given by the following:S = 1700t + 3900 What are the sales indicated...
- Q Zarya has $22,000 worth of property damage liability insurance. She caused an accident that damaged a $3,000 fire hydrant and did $17,600 worth of damage to another car. How much...
- Q A circle is drawn to represent a pizza with a 12-inch diameter. The circle is cut into eight congruent pieces. What is the length of the outer edge of any...
- Q Orisa and Zenyatta are buying an $900,000 home. They know that they will have to bring their checkbook to the closing. What might they expect to pay in total at...
- Q The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -7 ? x ? -4?
- Q Simplify the following expression as much as possible:4log4(log55)(a) 0(b)4(c)4log?2(d)1
- Q Find the partial sum S?? for the arithmetic sequence with a = 8, d = 4.S?? =
- Q A staircase handrail is made from congruent parallelograms. In PQRS, PQ = 17.5, ST = 18, and mQRS = 110.Find each measure. Explain.10. RS11. QT12. mPQR13. mSPQ
- Q Use the distributive property to simplify the equation below.5(2x + 3y - 2) = [?]x +[]y -[]
- Q Suppose that f is a linear function such that f(-3) = 10 and f(4) = -5 what is the slope of f?A 15 B. 5 C.-15 D. 1...
- Q Find a general term an for the sequence, whose first four terms are given.2, 6, 10, 14an =
- Q A loan of R12000 was secured at 20% p.a. effective. It was agreed to repay the loan via regular equal monthly payments of R310 per month and a final payment...
- Q Find the value of the logarithmic expression. log???8
- Q A trainee in a computer company takes 0.9 times as long to assemble each computer as he took to assemble the preceding computer. If it took him 35 minutes to...
- Q Reaper found a job listed in the classified ads that pays a yearly salary of $56K. What is the weekly salary based on this annual salary?A $1,076.92B $2,912.00C $961.54D $2,153.85
- Q In the graph below the input a is the number of units produced by a machine in a factory. The output y is the profit made by the sale of...
- Q A mouse wheel is 16 cm in diameter and the base of the wheel is 2 cm off the ground. If the hamster can spin the wheel 4 times each...
- Q The population of the region is decreasing according to the formula y=y? e^ -0.0279t. In this formula, t is time in years and yo is the initial population at time...
- Q Use the factorization A = PDP? to compute A?, where k represents an arbitrary positive integer.
- Q Write the expression as a sum or difference of logarithms. Assume that variables represent positive numbers.log?2/9z
- Q Write the first term of the sequence an = 7?.The first term of the sequence a = 7? is a? =
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