Basic Math question and answers for May 17, 2024
- Q Find all real and complex solutions to the equation2-32-10x + 24 = 0Express your answer as a list separated by commas, entering each zero as a separate number.
- Q Select the correct answer.The image of polygon MNOP after a similarity transformation is polygon WXYZ. Each side of MNOP is 2 times as long as the corresponding sideof WXYZ. What...
- Q After walking mile from home, Han is of his way to school. What is the distancebetween his home and school?1. Write multiplication and division equations to represent this situation.2.Use the...
- Q What are the rational zeros of the function f(x) = x + 3x-x-3? List the values separated by commas.Do not include "=" in your answer.Provide your answer below:
- Q Give a third degree polynomial that has zeros of 13, 5i, and -5i, and has a value of -680 when =polynomial in standard form ax + bxn- +...3. Write the
- Q The physician ordered Platinol (cisplatin) 100 mg/m IV to infuse over6 hours once every 4 weeks for a patient who has a BSA of 1.66 m.(a) How many mg of...
- Q Given f(x) = 2x + 2x - 8 verify that f(x) is invertible and, if so, find the equation of the tangent line to f-(x) at the point where x...
- Q The function g is defined as follows.g(x) = -5x +5If the graph of g is translated vertically downward by 3 units, it becomes the graph of a function f.Find the...
- Q If the cost, C, for manufacturing x units of a certain product is given by C=x + 35x + 40, find the number of units manufactured at a cost of...
- Q Divide using long division:Write your answer in the form Q(x) +the given divisor.Provide your answer below:R(x)D(x)'2x - 6x +5x-1where Q(x) is the polynomial quotient, R(x) is the remainder, and D(x)...
- Q Consider the graph of the function f(x) = 2-x2xx+xWhich is a removable discontinuity for the graph? Select all that apply.Select all that apply:0 x =x = -2x = ?1x=0x =...
- Q Add the following rational expressions and make sure to state the restrictions on thevariable:3/x^2-16 + x/x+4(214)(x-4), 2-4, 42+1214-4(2-3)(2-1)(14)(x-4), -4, 4241=14,2 -4,4
- Q If the formula y = x is changed by adding one as shown in red below.f(x) = (x + 1)Which values would be most directly affected by the change?Select an...
- Q Diego measured the length of a pen to be 22 cm. The actual length ofthe pen is 23 cm.Which of these is closest to the percent error for Diego'smeasurement?O 4.3%O...
- Q Given that the polynomial f(x) has 3 intercepts, which of the following most accurately describes the degree of f(x)?Select the correct answer below:The degree of f(x) is at most 3.The...
- Q Which function has a remainder of -70 when divided by (x - 9)?Select the correct answer below:O g(x) = x - 2x ? 93x + 200-O g(x) = x x...
- Q Multiply the following rational expression and state the restrictions on the variable:4n+32n3n-212n+16OO2n3n 2, n = //2n-1-23n 2, n = /473n-2, 7-8, 12/02n3n 2,7-8, 3/1
- Q Use logarithmic differentiation to find dy/dx.y = (9 + x)4/xdydx=
- Q The number of hours needed to complete a trip. . varles inversely with the driving speed. &. A trip can be completed in 5hours at a speed of 60 miles...
- Q 2. Camille stopped at the grocery store to buy milk. While at the store, she spotted cans ofsoup on sale for $2.25 each. If the milk costs $3.50 and she...
- Q Find the annual growth rate of the quantity described below.A stock portfolio drops to one-tenth its former value over a 7-year perioRound your answer to two decimal places.The annual growth...
- Q (1 point) In a random sample of 90 voters, the proportion of voters in favor of a bond issue is 0.8. Let p = proportion of all voters whofavor of...
- Q Two cube-shaped containers are filled with beads. Container A has side lengths of 2 inches and contains 142 beads. Container B has side lengths of 3 inches and contains 544...
- Q 38A tire has a total of 638.3 pounds of pressure in it. If the inside of the tire has a surface area of 32.61 square inches, what is the tire...
- Q Use synthetic division to find the result when 3x + 11x - 10x - 10 is divided by x + 5.r(x)Write your answer in the form q(x) + where g(x)...
- Q When 8 is subtracted from the square of a number, the result is 7 times the number. Find the positive solution.457816
- Q Find the real and complex zeros of the functionf(x) = 3x - 4x + 11x + 10.Express your answer as a list separated by commas. Do not use a plus...
- Q Consider the function f(x) = x5 + 10. If f-(x) is the inverse function of f(x), find f (42).Provide your answer below:f-(42) =
- Q Al and Sarah are raking the yard. Al can rake the entire yard in 5 hours while it takes Sarah 9 hours to rake the yard. How long will it...
- Q You want to buy a house for$275,000 at 3.5% interest.What would your payment be ifyou pay it off over 15 years?What would your payment be ifyou pay it off over...
- Q Liam bought a plant and planted it in a pot near a window in his house. Let Hrepresent the height of the plant, in inches, t months since Liam bought...
- Q Castle has just finished his thirty-second year with his company and is getting ready to retire. During his thirty-two years, Castle's average annual salary was $62,544. How much can Castle...
- Q The population of India was about 1,380,000,000 people in 2020. Whichnumber best approximates the population as a single digit times a power of10?OA. 3 x 108OB. 1 109O C. 110-9O...
- Q The amount of corn yield is normally distributed with a mean of 186.7 bushels of cornper acre, with a standard deviation of 25.6 bushels of corn. In an agricultural study,100...
- Q Find all the real zeros of the following polynomial.Provide your answer below:X =f(x) = x55x - 6x
- Q The price of a company's stock over the 12-week period at the beginning of 2012 can be approximated by the function f(x) = 35.9x0.1, where x = 1 designates thebeginning...
- Q 19. A drug must be administered IVPB at the initial rate of 2 mg/min, and the ratemay be increased as needed every hour thereafter by 3 mg/min, up to a...
- Q Of all the rectangles with an area of 900 square feet, find the dimensions of the one with the smallest perimeter.a) 15 ft. x 60 ft.b) O not possiblec) O...
- Q Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randomly selected (with replacement). Find theprobability that for one such phone...
- Q Find the domain of the following function.f(x) =1/(x-3)(x-7)Select the correct answer below:O (-?, -7) U (-3,0)O (-?, ?)O (-?, 3) U (3, 7) U (7, ?)O (-?, -3) U (-7,00)O...
- Q Consider f(x) = 2x - 4 and g(x) = (x + 1) - 6. Identify all points where f(x) and g(x) intersect.Select all that apply.**Hint: Use your Desmos graphing calculator**D...
- Q Provide an appropriate response.The ages of five randomly chosen cars in a parking garage are determined to be 7, 9, 3, 4, and 6 years old. If we consider this...
- Q A research firm reported that 15% of those surveyed described their health as poor, 26% as good, 40% as very good, and 19% as excellent. A healthprofessional in Chicago wanted...
- Q View PoliciesCurrent Attempt in ProgressWrite an expression representing the given quantity.A population at time t years if it is initially 3 million and growingat 6% per year.NOTE: Enter the exact...
- Q Solve each equation with the quadratic formula.-5n-2n +72 = 02+?6-2-?6180 {2+ ? 2 = ?6} 0 {2+ ? -2-0) 0{-4}20 {= 2 + ?2?2+?2 -2- ?22? {4, ?4}
- Q Suppose that the cost for manufacturing n desks is C dollars, so we have C = f(n). Which of thefollowing statements is the best interpretation of 2 f(n)?The cost, in...
- Q Evaluate the expression with the given replacement values.87x2; x = -37xO A.O B.O C.O D.-421863421863
- Q Internet tax: The Gallup Poll asked 1031u.S. adults whether they believed that people should pay sales tax on items purchased over the internet. Of these,443 said they supported such a...
- Q Use polynomial long division to write each of the following ratios inpolynomial and r is the remainder.(a)(c)x - 6x +11x-43x +17x+25x+4(b)(d)x+2x-25x+75x-41x+3x-8x-a form, whereq(x)is a
- Q Create a table of data for two different linear functions. The tableshould use the same values of x for both functions. Based on yourtable, will the graphs of these two...
- Q pose that the distribution of scores of 1,000 students who take a standardized intelligence test is a normal distribution. Also suppose that the distribution's meanis 450 and its standard deviation...
- Q . Atmospheric pressure decreases by about 12% for every 1000meters you climb. The pressure at sea level is about 1.013 bars.a. Construct a model to represent the atmospheric pressure ata...
- Q rt(a) Use the model A-Pet to determine the average rate of return under continuous compounding. Round to the nearest tenth of a percent. Avoidrounding in intermediate steps.The average rate of...
- Q Find the focus and directrix of the parabola with the given equation.x = 6yO focus:(1,0)directrix: x = -O focus: (4,0)directrix: x =O focus: (0,1)focus:s: (,0)directrix: y = - 4241/6directrix: x...
- Q Curt and John play one basketball gameevery night of the week. Each night's game iswon by either Curt or John; there is no draw.The probability that John wins any game...
- Q If a, b, c are real and a + b + c= 1, then ab + bc + ca lies in the interval:1(A)(B) [0, 2]9[-2] ON (D)
- Q Where does the tangent line to y = e* at x = 1 cross the y-axis?At x -
- Q The area of a rectangular living room is 300 square feet. The length of the room is 10 feet less than twice the width.What is the width of the living...
- Q I want to buy a car, but I have two options. Option 1: I can pay it off over 6 years at an interest rate of 3.8%. Option 2 I...
- Q Solve the exponential equation by using the property that b = by means that x = y whenever b> 0 and b 1.2x-1A==925
- Q Use the pop up below to find the area under the standard normal curve from 0 to - 2.01.
- Q Create an Amortization tableusing the following:I am buying a Tesla for$75,000. I am paying it offover 7 years, and I have aninterest rate of 1.8%.What is my monthly payment?How much...
- Q To begin a bacteria study, a petri dish had 2600 bacteria cells. Each hour since, the number of cells has increased by 4.1%. Let t be the number of hours...
- Q Current Attempt in ProgressThe given function describes the value in dollars of an investment in year t. What does the given function tell you about theinvestment?V = 9100(0.929)'Enter the exact...
- Q The formula A-Pe describes the accumulated value, A, of a sum of money, P, the principal, after t years at annual percentage rate r (in decimal form) compounded continuously. Complete...
- Q Consider the following function.-2x-6 if x ? -311/2if x > -3Step 2 of 3: Identify the general shape and direction of the graph of this function on the interval (-3,00).An15/25Correct(4(3)
- Q 3. Many communities today are concerned with their local government's ability to appropriately managethe taxes it collects. If a government spends more money on expenditures than it collects in taxes,...
- Q An object is thrown upward from the top of a 144-foot building with an initial velocity of 128 feet per second. The height h of the objectafter t seconds is...
- Q Advice from most financial advisers states to spend no more than 28% of one's gross monthly income for one's mortgage payment, and to spend no more than 36%of one's gross...
- Q An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal...
- Q The costs of general admission and student tickets to a high school football game are $7 and $4 respectively. The ticket sales for one game totaled $11,200. Write an equation...
- Q A baseball is dropped from a stadium seat that is 79 feet above the ground. Its height s in feet after t seconds is given by s(t)=79-22t2. Estimate to the...
- Q If a person shoots a basketball overhand from a position 8 feet above the floor, then the path of the basketball through the hoop can be modeled by the parabola...
- Q In 2012, the population of a city was 6.55 million. The exponential growth rate was 1.94% per year.a) Find the exponential growth function.b) Estimate the population of the city in...
- Q A farmer has 400 feet of fence to enclose a rectangular area. What dimensions for the rectangle result in the maximum area enclosed by the fence?The rectangle with the maximum...
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