Algebra question and answers for December 16, 2023
- Q Express the equation in exponential form(a) log2 16= 4That is, write your answer in the form 2^A= B. Then A= and B= .(b) log5 125 = 3.That is, write your...
- Q Let P be the plane with equation x+2y+2z = 8.Find four distinct points on P at distance 6 ?2 to the point Q = (0, 6, 7).R1 = (0, 0,...
- Q The variables x and y vary directly. Use the given x and y values to write a direct variation equation and find y given that x = 12. Enter any...
- Q Without graphing the function y = 7 sin(2x), determine its amplitude, period, and section width(distance between critical points. Leave answers in exact form; type pi for ?.
- Q A bank loaned out $33,000, part of it at the rate of 4% annual interest, and the rest at 8% annual interest. The total interest earned for both loans was...
- Q Total emissions of carbon dioxide from the burning of fossil fuels have been increasing at about 7% per year (data from 2010 to 2011). If emissions continue to increase at...
- Q Let g be the functiong(x) = { 2- |x| if -2 ? x ? 2 { 0 otherwiseFind the Fourier transform ?(u) of g,...
- Q Given the function f(x) = 3x - 3x + 7. Calculate the following values:f(-2) =( ? 1) =f(0) =f(1) =f(2)=
- Q Montana invests $10600 in two different accounts. The first account paid 5 %, the second account paid 13% in interest. At the end of the first year he had earned...
- Q If f(-2) = 5, then the point is on the graph of f.Enter an n-tuple [more..]
- Q Write an equation for a line parallel to y = -2x + 4 and passing through the point (1,-6)y =
- Q If 88 people attend a concert and tickets for adults cost $2.25 while tickets for children cost $1.5 and total receipts for the concert was $161.25, how many of each...
- Q The Nutty Professor sells cashews for $6.60 per pound and Brazil nuts for $5.50 per pound. How much of each type should be used to make a 27 pound mixture...
- Q In 1990 the average family income was about 36000, and in 2000 it was about 46094.Let = 0 represent 1990, x = 1 represent 1991, and so on. Find values...
- Q Write an equation for a line perpendicular to y = 3x + 2 and passing through the point (-3,-2)y =
- Q Let A, B, C and D be non-zero digits, such that CD is a two-digit positive integer. BCD is a three-digit positive integer generated by the digits B, C and...
- Q (1 point) Let f(x) = 36 - x.a) Compute each of the following expressions and interpret each as an average rate of change:
- Q Find the exact length of the curve.y = (x + 4) /2, 0?x? 4
- Q Write the sum using sigma notation: -1+5+ 11 + ... + 29?i=1
- Q The exponential model A = 497.6 e^ 0.004t describes the population, A, of a country in millions, t years after 2003. Use the model to determine when the population ofthe...
- Q If the standard quota for how many new schools will open in the 5 boroughs are:Bronx: 20.73Brooklyn: 10.12Queens: 35.44Manhattan 25.16Staten Island 5.44Use Jefferson's plan to apportion the Queens
- Q Consider an object moving along a line with the following velocity and initial position.v(t)=9-3t on [0.5]; s(0)=0Determine the position function for t20 using both the antiderivative method and the Fundamental...
- Q There is a mound of g pounds of gravel in a quarry. Throughout the day, 300 pounds of gravel are added to the mound. Two orders of 500 pounds are...
- Q Many insurance policies carry a deductible provision that states how much of a claim a person must pay out of pocket before the insurance company pays the remaining of the...
- Q The following data represent the age (in weeks) at which babies first crawl based on a survey of 12 mothers. The data are normally distributed and s = 10.326 weeks....
- Q The equation (16 X) = 560 has two solutions. The smaller solution is X = A. The larger solution is x = B. Enter the value of A followed by...
- Q The function fis given by the set {(-5, 3), (-1, -1), (0, 4), (2, -6), (5, -7)}.Determine f-
- Q Which of the following scenarios is possible for a 5th degree polynomial? Select ALL that are possible.A) Two distict x-interceptsB) Only one x-interceptC) No x-interceptsD) Three distinct x-interceptsE) Four distinct...
- Q Write a paragraph or a list of steps to explain how you find the solutions to the equationx3-3x2+25x-75=0Your description should be specific to this equation, and make sure you state...
- Q Which of the following ordered pairs represent a function? How do you know?a. (8, 56). (11, 7). (9, 63), (0, 0)b. (1.7, 2), (1.8, 2). (3.2. 3), (4.3, 4)
- Q We have a triangle with sides a, b, c that are opposite angles A, B, C respectively. Assume that side a = 20, side b = 25, and side c...
- Q Suppose the rate of change of the unit price p of video boards is p'(x)=where x is the number of hundreds of video boards that the supplier will make available...
- Q 1. Identify the ratio-in simplest form if required.1. A math club has 25 members, of which 11 are males and the rest are females.a. What is the ratio of males...
- Q Omar and Joey would like to save 60,000 information years for a down payment on a house. how much do they need to deposit each month into an account earning...
- Q Use generating functions to(a) Determine the number of 10-digit ternary sequences in which the digit 2 occurs at least once, and the digit 0 occurs an even number of times.(b)...
- Q Let a and b be elements in a ring R such that ab = ba.Prove the following:1. a + b is a nilpotent if a and b are nilpotents.2. ab...
- Q Given the vector u = (-4, -4?3), find the magnitude and direction of u.Select the correct answer below:|u| = 8; ? = 240"|u| = 8; ? = 60|u| = 8;...
- Q w varies jointly as x and y and inversely as the square of z. If w = 10 when x = 120, y = 8, and z = 12, find...
- Q The simple interest rate varies jointly as the principal and the time. At a specific interest rate, the simple interest is $1,050 for a loan of $7,000 for 5 years....
- Q The revenue from selling bicycles varies directly to the number of bicycles sold. When 92 bicycles are sold, the revenue is $15,180. Determine the revenue when 154 bicycles are sold.
- Q Tim and Mark are friends that live across the country from each other. They plan to meet in Canada for a fishing trip. The trip is 1600 miles for Tim...
- Q Gilbert road is bike 11 miles. After 11 miles, he stopped for one hour before riding his bike for 15 more miles at a speed that was twice his original...
- Q Nick can plant a row of soybeans in 70 minutes. Matt can plant the same row in 30 minutes. How long will it take them working together to plan this...
- Q In the troposphere, temperature decreases with elevation by about 6.5 degrees Celsius every 1000 kilometers above ground level.If it is 23 degrees Celsius at ground level in Boston, what is...
- Q Mike and Peggy are digging holes for time capsules. Together it take them 2.4 hours to dig a hole. If Mike can dig a hole by himself in 3.2 hours,...
- Q Two rockets are to be launched at the same time. They will meet at a space station. Rocket A will travel 20,000 miles per hour and Rocket B will travel...
- Q Apply the properties of logarithms to write the expression as a single logarithm. Enter the argument in parentheses. Do not insert any spaces in your answer.In(x) + In 15
- Q Find the formula for an exponential function that passes through the two points given.(-3, 10) and (2, 1)
- Q Consider the plane?: -x + 2y - 5z = 0 and the lines:x = 4m,L? : y = -5m,z = 2mx = 4 + 3t,L2: y = 3,z=-tPart(a) [6 points]...
- Q The population of a pod of bottlenose dolphins is modeled by the function A (t) = 15(1.2), where t is given in years. To the nearest whole number, what will...
- Q A vehicular tunnel has a length of 8328 feet. Use the concept of accuracy and significant digits to determine the range of this numberThe range is from to feet
- Q Solve the system by the method of your choice.5x=y-35x - y = 7Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The...
- Q The interest earned on a loan varies jointly as the interest rate and the time. If an investment earns $100 at 2.5% for 4 years, how much interest will be...
- Q The owners of a new technology store determine that their monthly sales of a product vary directly as their advertising budget and inversely as the price of the product. When...
- Q What are the three methods we can use to solve an exponential equation?
- Q Solve the system by the substitution method.x + 3y = 5y = 4x + 6Select the correct choice below and, if necessary, fill in the answer box to complete your...
- Q Matt is working as a dog walker. His payment varies directly as the number of miles he walks with dogs. For 3.5 miles, Matt is paid $22.40. How much does...
- Q Rewrite the following infinite series using sigma notation. (a) 1+1/2 + 1/3+ 1/4+ 1/5 +.......(b) 1-1/2 + 1/3-1/4+ 1/5 +.......
- Q The logistic model P(t) = 427/1+7.71 e ^-0.018t represents the number of invasive species present in a habitat t years after 1900.(a) Evaluate and interpret P(0).(b) What is the growth...
- Q How much money will there be in an account at the end of 10 years if $12,000 is deposited at 7% interest compounded semi-annually? (Assume no withdrawals are made.) The...
- Q Find the polar coordinates of a point with Cartesian coordinates (x, y) = (-5,0).Select the correct answer below: (2, ?) (5,3?/2) (5, ?) (2, 3?/2) (5,2?) (2,2?)
- Q The monthly demand function for a product sold by a monopoly is p = 1,896 -x dollars, and the average cost is C = 1,000+ 4x + x dollars.Production is...
- Q What is the approximate temperature of the Sun? 6,000 K everywhere. 15 million K everywhere. 15 billion K everywhere. 6,000 K at its core, 15 million K at its surface.6,000...
- Q convert the vector l-->al -5km with a bearing 135 degrees in cartesian form
- Q How are two nuclei called if they have the same number of protons but a different number of neutrons?lons.Weird.Different elements.Isotopes.Molecules.
- Q A candy distributor needs to mix a 10% fat- content chocolate with a 60% fat-content chocolate to create 100 kilograms of a 15% fat-content chocolate. How many kilograms of each...
- Q 12. Perform the following operationsa. 2304five + 121 fiveb. 3E8 twelve +3TT twelvee. 100101two - 10011two
- Q You need a 55% alcohol solution. On hand, you have a 715 mL of a 80% alcohol mixture. How much pure water will you need to add to obtain the...
- Q Find the 7th term in the sequence with the following definition:a? = 64an =an-1 / 2
- Q Calculate the monthly mortgage payment with the following conditions: $285,000 borrowed, 3.45% interest, 30-year term. What formula did you use to solve this equation? What is your "r" as you...
- Q Trey wants to buy a bond that will mature to 56000 in eight years. How much should he pay for the bond now if it earns interest at a rate...
- Q The population of a city (in millions) at time t (in years) isP(t) = 2.1e0.007t, wheret = 0 is the year 2000.When will the population double from its size at...
- Q Given the function of the form f(x) = a ex-h + ka. Identify a, h, and k.b. Identify and plot the reference points.c. Draw the graph.d. State the domain and...
- Q The count in a bacteria culture was 400 after 15 minutes and 1400 after 30 minutes. Assuming the count grows exponentially,What was the initial size of the culture? 114.2857Find the...
- Q John takes out a loan of $11600 that charges 10% interest compounded monthly. If John makes $130 monthly payments, determine how long it will take him to pay off the...
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