Basic Math question and answers for May 13, 2024
- Q Use logarithmic differentiation to find the derivative of y with respect to the given independent variable.y = (sin x) 4x
- Q Brett, a sales person at Arya Sunshine Tours, sold a vacation package to Chelsea andher partner for $11,000 to travel to the Bahamas for 10 days. If the commission on...
- Q Katie is building a rectangular wall. The wall will be 332 bricks wide and 39 bricks tall. She has 15,000 bricks. Does she have enough bricks to build the wall?...
- Q The area of a rectangle is 14 ft, and the length of the rectangle is 3 ft less than twice the width. Find the dimensions of the rectangle.
- Q The time it takes to clean up after an anniversary party varies inversely as the number of people cleaning. If 3 people work together to clean, it will take them...
- Q Find the quotient and remainder using long division.-42-14x - 8x + 2/2x + 2The quotient isThe remainder is
- Q Your cousin has a budget plan but unexpected expenses keep coming up. She is trying to understand where she went wrong last month so she took a rainy Saturday morning...
- Q A child flies a kite at a height of 100 ft, the wind carrying the kite horizontally away from the child at a rate of 52 ft/sec. How fast must...
- Q Factor the given polynomial completely into a product of linear factors of the form ax + b where a is a real number and b is a real or complex...
- Q The intensity of sound is measured on the decibel scale, dB. The equation dB = 10 log I represents the decibel level, where I is the ratio of the sound...
- Q Subtract1/x+9 - 9/x+9 z2 +52 36State the difference in simplest form.
- Q A faucet can fill a bathtub in 6 minutes. The drain can empty the tub in 10 minutes. If both the faucet and the drain are open at the same...
- Q A person invests 1000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money...
- Q A health insurance company advertises on television, on radio, and in the local newspaper. The marketing department has an advertising budget of $81,900 per month. A television ad costs $2000,...
- Q Density: A Rectangular Prism has a height of 4cm, a width of 5cm, a length of 1.2 cm, and a massof 85,000 g. What is it's density?.00000035416 g/cm^3.00035416 g/cm^3354.16 g/cm^33541.6...
- Q Leila has two coupons for a bicycle.Coupon A: 35% off of a $93 bicycleCoupon B: $36 rebate on a $93 bicycleChoose the coupon that gives the lower price.Then fill in...
- Q Using the following figures, determine closing book inventory (not all informationgiven may be needed):Opening inventory $89,760Gross purchases $43,620RTV $860Cash discounts $320Markdowns $5,246Markdown cancellations $318Employee discounts $784Gross sales $49,318Customer returns $2,945Net...
- Q The dial of a "combination lock" has the numbers 0 through 32. The "combination" to open the lock is actually an ordered sequence of 3 numbers. Each ordered sequence, from...
- Q Write the sum of 7?28x6 + 4?7x6 in simplest form, if x ? 0.
- Q A 10-gallon barrel is filled completely with pure water. Salt water with a concentration of 0.3 lb/gal is then pumped into the barrel, and the resulting mixture overflows at the...
- Q The manager of a baseball team must determine the batting order of the nine starting players.(a) Is the possible number of outcomes found using permutations or combinations? Explain your reasoning.The...
- Q For y = -9 cos x/7,its amplitude isits period is
- Q The data in the box plots below represent the average SAT score for students who took one of two types of SAT prep courses. Which of the following is true?We...
- Q Decide whether the exercise involves permutations or combinations, and then solve the problem.In a club with 11 male and 12 female members, how many 6-member committees can be chosen that...
- Q Write the function in the form y=f(u) and u = g(x). Then find dy/dx as a function of x.y = tan 7X
- Q Christine is playing a game of chance in which she rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is...
- Q A person invests 8000 dollars in a bank. The bank pays 5% interest compounded monthly. To the nearest tenth of a year, how long must the person leave the money...
- Q Determine if (x - 5) is a factor of x3-14x + 100.
- Q A container of hot liquid is placed in a freezer that is kept at a constant temperature of 20F. The initial temperature of the liquid is 160F. After 5 minutes,...
- Q Find a polynomial f(x) of degree 5 that has the following zeros.-9, 1 (multiplicity 2), 0, -8
- Q Write an equation of g(x) as a transformed function of f(x)=?x if it is reflected over the x-axis, shifted 5 units to the left and shifted 8 units down.
- Q Consider the polynomial P(x) = 2x - 7x-3x + 21x-9.Given that x = 3 and x = 1/2 are zeros of P(x), find all remaining zeros. Include complex zeros if...
- Q Suppose a company has fixed costs of $44,800 and variable cost per unit of 4/9 x + 444 dollars, where x is the total number of units produced. Suppose further...
- Q Roshan SeaSights Touring Company offered a 25% discount on its excursion packages. A group of 15 from Halifax wanted to go on a 2 day excursion that would normally cost...
- Q The graphs of rational functions mand n have the same vertical asymptotes, and both have a single x-intercept at x = 5.Which equation could represent function n?
- Q Downhill Ski n' Board Resort, with 300 suites, has a rack rate of $245, and an actualroom rate of $215. If the yield last year was 78.00%, how many suites...
- Q When two pumps are used, they can fill a tank in 60 minutes. When the first pump is used alone, the tank will be filled in 150 minutes. When x...
- Q F=9C+/532 is the formula to convert from degrees Celsius to degrees Fahrenheit. If the temperature is 35 degrees Celsius what is the equivalent temperature in degrees Fahrenheit?
- Q In Bill the Boring's dryer there are 6 black shirts, 7 gray shirts, 11 black sweaters, and 7 gray sweaters. Bill is going to take one of these pieces of...
- Q Find two angles between ? and 2? such that sin(?) = 0.51. Start by drawing a sketch. Enter your answers as a comma separated list. Note that allsolutions should be...
- Q A total of 645 tickets were sold for the school play. They were either adult tickets or student tickets. There were 55 fewer student tickets sold than adult tickets. How...
- Q Let n be the middle number of three consecutive integers. Write an expression for the sum of these integers.
- Q Try to evaluate 3?27 without using a calculator. Enter DNE if the number is not real.
- Q Write the equation for the following transformation:Shift y = 3^x along -x axis by 4 unit and reflect about y axis
- Q A small regional carrier accepted 19 reservations for a particular flight with 16 seats. 10 reservations went to regular customers who will arrive for the flight. Each of the remaining...
- Q A parabola has its directrix at x = 4 and its focus at (8, k). Which of the following could be the equation of the parabola? Select all that apply.a....
- Q Resolve the given vector into its x-component and y-component. The given angle 0 is measured counterclockwise from the positive x-axis (in standard position).Magnitude 2.11 mN, ? = 187.41
- Q Determine the resultant of the vectors with the given magnitudes and directions. Positive angles are measured counterclockwise from the positive x-axis, and negativeangles are measured clockwise from the positive x-axis.A:...
- Q At a county fair truck pull, two pickup trucks are attached to the back end of a monster truck. One of the pickups pulls with a force of 4000 pounds...
- Q At a school-sponsored car wash, the fees charged were: $5 per car, $8 per pickup truck, $10 per full-size van. Twice as many cars were washed as pickup trucks. The...
- Q Roger has a house in Telluride, Colorado, but starts a new job in Denver. Every Monday, he drives his car 332 miles from Telluride to Denver, spends the week in...
- Q The angle between two forces of 34 N (Newtons) and 47 N is 62. Find the magnitude of the resultant force.The magnitude of the resultant force is
- Q Solve the system of linear equations by graphing.y=2x3x+y=5
- Q Provide an appropriate response.Find the area under the standard normal curve to the left of z = 1.25.0.89440.76820.10560.2318
- Q Leila received a $70 gift card for a coffee store. She used it in buying some coffee that cost $8.14 per pound. After buying the coffee, she had $37.44 left...
- Q 2. Suppose you have a can of paint that you'll use to paint a rectangle whose length is 5 inchesmore than its width. If the can covers 500 in, what...
- Q Boris is putting money into a savings account. He starts with $750 in the savings account, and each week he adds $60.Let S represent the total amount of money in...
- Q Quadrilateral ABCD has vertices A = (2, 5), B=(2, 2), C=(4, 3) and D= (4, 6). Quadrilateral A'B'C'D' is formedwhen Quadrilateral ABCD is dilated by a scale factor of 2.Which...
- Q Given f(x) = 4x - 16x +13x-3, answer the following.Part: 0 / 2Part 1 of 2(a) Factor f(x), given that 3 is a zero.f(x) = 00
- Q Find the remaining five trigonometic functions of 8.sin 8= 8 in quadrant II78
- Q armen got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the...
- Q If the half-life of an element is 67 yr and the initial quantity is 3 kg, write a function of the form Q(t) = Qe^kt to model the quantity the...
- Q nts: 0 ofThe exponential model A = 993.4 e 0.0231 describes the population, A, of a country in millions, t years after 2003. Use the model to determine when the...
- Q An open-top box is to be made from a square piece of cardboard that measures 6 inches by 6 inches by removing a square from each corner and folding up...
- Q Use the formula t=In 2that gives the time for a population, with a growth rate k, to double, to answer the following questions.kThe growth model A=9e 0.0061 describes the population,...
- Q Use a calculator with a y key or a key to solve the following.The exponential function f(x)=560(1.032)* models the population of a country, f(x), in millions, x years after 1974....
- Q Consider the equation 1.5x + 4.5y = 18. For each question, explain or show yourreasoning.1. If we graph the equation, what is the slope of the graph?
- Q Axel swam 32 laps at the pool. Thenumber of laps that he swam was 2more than 3 times as many laps as hisfriend Kelly swam. Which of thefollowing equations could...
- Q A model rocket is launched from the ground. The height, s, of the rocket above the ground at time t seconds after it is launched can be found by the...
- Q In a genetics class, 6 students have GREEN eyes, 3 students have BLUE eyes, and 11 have HAZEL eyes. If a single student ispicked at random, what is the probability...
- Q Troy opened a savings account and deposited $300.00. The account earns 6% interest,compounded annually. If he wants to use the money to buy a new bicycle in 3 years, howmuch...
- Q Logan earned $8 for each dog he walked last summer. This summer, he raised his fee to $9 per dog. Express the change in Logan's fees as a percent. Round...
- Q An elevator can carry 26 adults or 30 children at one time. During the course of a day, the elevatorcarries a full passenger load 46 times. If all the passengers...
- Q Write an expression that is equivalent to 3y - 9.A common factor of 3 and 9 is3y - 9 =So, 3y - 9 is equivalent toWhy can you use properties...
- Q Vina has $4.60 in quarters, dimes and nickels in her purse. She has seven more dimes than quarters and six more nickels than quarters. How many of each coin are...
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