Basic Math question and answers for July 28, 2024
- Q Suppose it was determined that the water footprint for a typical American is 2,483 m/year.a. A family of three would like to reduce their water footprint so that it is...
- Q Solve for the roots in simplest form by completing the square:x + 16x - 61 = 0
- Q An accounting firm has ordered 60 new computers at a cost of $1657 each. The machines will not be delivered for 5 months. What amount could the firm deposittoday in...
- Q The radius, r, in centimeters, of a melting snowball is given by r = 60 2.5t,where t is the time in hours. The snowball is spherical with volumeV = ?r...
- Q Find the real solutions, if any, of the following equation. Use the quadratic formula.2x(x+2) = 2 Select the correct choice below and, if necessary, fill in the answer box to...
- Q What effect did population and cultural shifts within New Mexican territory have?A. It allowed New Mexico more representation in the Senate.B. It helped New Mexico finally achieve statehood.C. It forced...
- Q Let (X) be a sequence of independent exponentialy distributed random variables withmeans respectively(a) Does (X) converge in distribution?(6) Does (X) converge almost surely?
- Q For the following list of data, calculate (a) the mean, (b) the median, and (c) the mode or modes (if any). 133, 135, 147, 131, 147, 136(a) The mean is...
- Q The average forward speed for neotropical butterflies can be modeled by the function, V(m)= 5.2 ?mwhere V(m) represents the average forward body speed in meters per second and mrepresents the...
- Q The half-life of the radioactive element unobtanium-59 is 10 seconds. If 176 grams of unobtanium-59 are initially present, how many grams are present after 10 seconds? 20 seconds? 30 seconds?...
- Q The factored answer (x-7)(x + 4) isthe same as (x + 4)(x ? 7).O TrueOFalse
- Q The Best Buy parking lot is a rectangle that measures 385 feet long and 180 feet wide. Each parking space is a rectangle that measures 20 feet long and 9...
- Q A popular brand of pen is available in 7 colors and 2 writing tips. How many different choices of pens do you have with this brand? There are different choices...
- Q Use the formula for simple interest, I=Pxrxt, to find the missing quantity.P=$5,500; r = 7%; t = 6 yearsA. 1 $2,510B. 1=$2,310C. 1 $231,000D. 1 $23,100
- Q Scores on a dental anxiety scale range from 0 (no anxiety) to 20 (extreme anxiety). The scores are normally distributed with a mean of 11 and a standard deviation of...
- Q Interpret the slope in context for each situation.a. The average height of children ages 8 to 13 can be modeled by the equation y = 35 + 2x, where x...
- Q The population of a city was 132 thousand in 1992. The exponential growth rate was 1.7% per year.a) Find the exponential growth function in terms of t, where t is...
- Q The number of federal income tax returns filed electronically since 1995 is estimatedby y = 5.6524x + 8.731, where y is the number of returns (in millions) and x is...
- Q Point E with coordinates (5, 7) is translated along a glide reflection to its image of E (4,3). Which best describes the glide reflection?(x,y) ? (x-1, y - 4) followed...
- Q Consider the system of equation:x+4y=133x+2y=19(a) Multiply both sides of the second equationby-2. What equation results?(c) Now that you know the value of x, how canyou find the value of y?...
- Q Line A passes through the points (0, 11) and (-5, 1).Line B passes through the points (0, 10) and (1, 12).Which of the following statements is true about the system...
- Q Find an equation of the line with the givenslope that passes through the given point.Write the equation in the form Ax+By = C.m = -7, (-6, - 3)The equation of...
- Q A person invests $1625 into a retirement account, with an interest rate of 0.9%compounded quarterly. Find the retirement account balance after two years.1) The balance will be $1654.48 after two...
- Q 1. Negative ions form when atoms valence electrons.2. In the formation of an ionic compound, a metal atom is most likely tovalence electrons.3. lonic compounds form because charges attract.
- Q Which of the following real-world scenarios can be modeled using sine or cosine?The number of mold spores that grow on a forgotten container of leftovers in the back of your...
- Q HOW MANY 7 DIGIT TELEPHONE NUMBERS ARE POSSIBLE IF THE FIRST DIGIT CANNOT BE ZERO AND:A) THE TELEPHONE NUMBER MUST BE A MULTIPLE OF 100?B) ONLY ODD DIGITS CAN BE...
- Q Factor the polynomial f(x) = 3x + 12x + 3x - 18 given that x = -3 is a zero of f(x).f(x) = 3(x-2)(x + 1)(x+3)f(x) = (x-2)(x + 1)(x-3)f(x)...
- Q Suppose that $2000 is invested at a rate of 5.2%, compounded quarterly. Assuming that no withdrawals are made, find the total amount after 4 years. Do not round any intermediate...
- Q A TV has a listed price of $709.99 before tax. If the sales tax rate is 8.5%, find the total cost of the TV with sales tax included. Round your...
- Q If 3 fair coins are tossed, find the probability that no more than 1 is heads. The probability that no more than 1 is heads is (Type an integer or...
- Q Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 25 cans of the soda drink. Those volumes have amean...
- Q A rectangular tank that is 2048 ft with a square base and open top is to be constructed of sheet steel of a given thickness. Find the dimensions of the...
- Q An art teacher is making packages of paintbrushes and paint for his students.He has 24 brushes and 40 tubes of paint. Each package will have the same numberof brushes and...
- Q Saizon Pen & Office Supply uses a markup of $9 on a calculator that costs $20. What markup rate does this amount represent?_______ %
- Q Dr. Marina Silva, in the Journal of Mammalogy (1998), gives the following formula for the approximate body length of mammals based on the mammal's body mass L(M) = 0.25 M...
- Q In a class of 50 students, 21 are Democrats, 9 are business majors, and 7 of thebusiness majors are Democrats. If one student is randomly selected from the class,find the...
- Q The magnitude, M, of an earthquake is represented by the equation M = log whereE is the amount of energy released by the 104.4 is the earthquake in joules and...
- Q Write the equation in slope-intercept form (if possible) and graph the line.2x+y=7Part: 0/2Part 1 of 2The equation in slope-intercept form is
- Q Find the amount of tax and the tax rate. Round to nearest hundredth of a percent.Cost of item: $128Selling price: $135.55Tax amount: Tax rate:
- Q Suppose that x represents one of two positive numbers whose sum is 14.(a) Represent the other of the two numbers in terms of x.(b) What are the restrictions on x?(c)...
- Q If 29, then x =A. log10 2B. 2/C. log, 2D. log? 9E. 2
- Q Consider the graph of the function f(x) = x-4x-5/x+3x-10What are the vertical asymptotes? List the x-values separated by commas.Provide your answer below:X =
- Q Given: AABC with median AMAB = x + 7AC = 2x - 1CM = 2x-5BM = x +4Find the length of BC(no image is needed for this picture. Hint: you...
- Q The angle bisectors of AJKL are JQ, KQ, and LQ. They meet at a single point Q.(In other words, Q is the incenter of AJKL.) Suppose NQ=20, LQ=23, mLNLP=34, and...
- Q A 19 ft ladder leans against a wall. The bottom of the ladder is 3 ft from the wall at time0 and slides away from the wall at a rate...
- Q Convert 160 into radian measure:Convert 351 into radian measure:Convert 205 into radian measure:Convert 57 into radian measure:Enter your answer as a fraction of piYou may also use decimal approximation, but...
- Q Suppose that 9% of voters in California are in favor of Proposition A. In a random sample of 32 voters,A. What is the probability that none of the voters will...
- Q The weight of a body varies inversely as the square of its distance from the center of a planet. If the radius of the planet is 3000 miles, how much...
- Q Peter withdrew 1000 dollars from his bank account today. He uses 500 to fix his car.Then, he divide the money into 5 equal parts and gave away 4 parts and...
- Q What numbers must you know to find the surface area and volume of a sphere?The sphere's radius and the area of a great circleThe sphere's radius and the circumference of...
- Q A jar contains 8 pennies, 3 nickels and 7 dimes. A child selects 2 coins at random without replacement from the jar. Let X represent the amount in cents of...
- Q A total of 380 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number...
- Q Starting with the graph of f(x) = 67, write the equation of the graph that results froma. shifting f(x) 7 units left.b. shifting f(x) 5 units downward.c. reflecting f(x) about...
- Q Rationalize the denominator:-9/4 + ?2
- Q Diana had a coupon for c dollars off of each box of crackers. Diana bought 2 boxes of crackers for 4.50 c dollars each. She also bought 8 cans of...
- Q Multiply and simplify completely:(x + 2)(x ? 2)
- Q If you want to earn $950.00 of simple interest at a rate of 7% in a span of 9 months, how much money must you invest? (Round your answer to...
- Q Give the measure of the supplement of the angle. (180-y) The supplement of the angle (180-y) is
- Q The power rule for logarithms states thatThe logarithm of a number with an exponent is the Points: 0 of 1 of the exponent and the logarithm of that number.
- Q Angle x lies in the first quadrant such that cosx = 3/5the second quadrant such that siny = 7/25. Determine an exact value for cos (x - y).
- Q The two Soup cans are similar. The large can has a height of 4 in in the smaller can has a height of 3 inches. Find the area of the...
- Q Misu Sheet, owner of the Bedspread Shop, knows his customers will pay no more than $135 for a comforter. Misu wants a 20% markup on cost instead of on selling...
- Q Find all zeros of f(x) = x - 9x + 22x - 10. Enter the zeros separated by commas. Enter exact value, not decimal approximations.
- Q Graph the set {x|x?4) on the number line. Then, write the set using interval notation.
- Q A man is disabled in an accident and wants to receive an insurance payment that will provide him with $2900 at the end of each month for 20 years. If...
- Q Suppose that $2000 is invested at a rate of 4%, compounded annually. Assuming that no withdrawals are made, find the total amount after 9 years. Do not round any intermediate...
- Q The patient is using 2 devices to measure his heart rate as he runs. After 15 minutes ofrunning, one device displays 90 bpm. The other device displays 100 bpm after...
- Q A rectangle is drawn so the width is 31 inches longer than the height. If the rectangle's diagonal measurement is 41 inches, find the height. Give your answer rounded to...
- Q Phillippe wants to drink at least 72 ounces of water every day while at work. He works 6 hours a day. How many ounces of water must Phillippe drink each...
- Q Select the correct answer from each drop-down menu.Consider this expression.3/x-2 + x-2/x- 4x+4The simplest form of the expression has in the numerator and in the denominator.
- Q If C=t-5 and B = t + 2, find an expression that equals 2C + 2B in standard form.
- Q The formula for the future value Q of a simple interest investment is Q=M + Mrt, where M is the original investment, r is the annual interest rate, and t...
- Q A 24-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 5 times...
- Q When an object is dropped from a 1520 ft tower, the height of the object in feet after t seconds is given by the function f(t) = -16 +1520. Find...
- Q A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 70% salt and Solution B is 95%...
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