Basic Math question and answers for July 25, 2024
- Q The average score of all golfers for a particular course has a mean of 70 and a standard deviation of 3.5. Suppose 49 golfers played the course today. Find the...
- Q In the Bible, Joash was 7 years old when he became king; Uzziah was 16; Ahaz was 20; Manasseh was 12; Josiah was 8; and Jehoiachin was 18. What was...
- Q For f(x) = x +4 and g(x)=?x-2, find the following composite functions and state the domain of each.(a) fog(b) gof(c) fof(d) gog(a) (fog)(x) = (Simplify your answer.)Select the correct choice...
- Q Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not.D = Ga +3ha
- Q A pet store has 7 puppies, including 4 poodles, 2 terriers, and 1 retriever. Rebecka and Aaron, in that order, each select one puppy at random without replacement. Find the...
- Q Three friends split the cost of a pizza and a salad. The pizza costs $15and the salad costs $6.Which expression can you use to find how much each person owes?(15+6)315+(6x3)(15+3)+6
- Q 4. As you've heard, the smallest pair of amicable numbers, 220 and 284, were known to the ancient Greeks, the next pair of amicable numbers, 17296 and 18416, were discovered...
- Q Considering only the values of ? for which csc ?cos (2?) is defined, which of the following expressions is equivalent to csc ?cos (2?)? Select the correct answer below: 2...
- Q Select the correct answer from each drop-down menu.?ABC has vertices at A(11, 6), B(5, 6), and (5, 17).?XYZ has vertices at X-10, 5), -12, -2), and Z-4, 15).?MNO has vertices...
- Q Use synthetic division to rewrite the following fraction in the form g(x) +r(x) d(x) ,where d(x) is the denominator of the original fraction, q(x) is the quotient, and r(x) is6x^6...
- Q State Gasoline Taxes A random sample of state gasoline taxes (in cents) is shown here for 11 states. Round sample statistics and final answers to at least two decimal places.58.6...
- Q A woman 5 ft tall is standing near a street lamp that is 12 ft tall, as shown in the figure. Find a function that models the length L of...
- Q Let f(x) = -x + 9x on [-3,5].a. Locate the critical points of f.b. Use the First Derivative Test to locate the local maximum and minimum values.c. Identify the absolute...
- Q Consider the following equation.3x - y = 1Step 2 of 2: Determine the missing coordinate in the ordered pair (?, 3) so that it will satisfy the given equation.
- Q For every 40 pounds of body weight, the dosage for a medication is 1/2 ounce. If a person weighs 180 pounds, how many ounces of medication should be given? a....
- Q Graph the polar equation below by first selecting the correct symmetry, then selecting the correct radius. r = -5 cos (?)+5Provide your answer below:
- Q A consumer agency wants to estimate the proportion of all drivers who wear seat belts while driving. What is the most conservative estimate of the sample size that would limit...
- Q Over what interval is the cosine graph negative and the sine graph positive?[0, ?][3?/2, 2?][?/2, ?][?/2,3?/2]Compare the graphs of sine and cosine and make sure you find the intervals where...
- Q Solve the equation5 (2x - 1)^2/3 = 125Assume x is positive. Give your answer as a simplified integer or improper fraction, if necessary.Note: Divide both sides with 5. first.Provide your...
- Q Which of the following cannot be the lengths of the three sides of a triangle?A 6 inches, 8 inches, 10 inchesB 7 centimeters, 8 centimeters, 15 centimetersC 3 yards, 5...
- Q Ossie owns some property which has an assessed value of $179,800. Find the tax due if the tax rate is $8.28 per $100 of the assessed value. (Round your answer...
- Q A game has 49 green balls and 1 red ball in a bag, and you will randomly select one ball from the bag. If the selected ball is green, you...
- Q Your local pizza store sells medium pizzas for $6.89 each, and breadsticks for $2.49 per order. For a party, you decide to order 5 pizzas and 2 orders of breadsticks....
- Q There are 15 black balls, 14 red balls, and 11 white balls in a jar, and you get to randomly pick one ball without looking. If you draw a black...
- Q College Courses At a large university, the probability that a student takes calculus and is on the dean's list is 0.049. The probability that a student is on the dean's...
- Q Name the property used to go from step to step each time the (why?) occurs.Choose the correct property for each step below.5+2(x+6)= 5+ (2x+12) (why?)=5+(12+2x) (why?)= (5+12)+2x (why?)=...
- Q Find the all solutions of this equation in the interval [0, 2?):2 cos(x) sin(x) + sin(x) = 0X=Give your answers in radians.Do not use decimal approximations. Use 'pi' to represent...
- Q A poster is to have a total area of 500 square centimeters. There is a margin around the edges of 10 cm at the top and 9 cm on the...
- Q A commuter railway has 800 passengers a day and charges each one 2 dollars. For each 6 cents the fare is increased, 5 fewer people will ride the train. Express...
- Q 2 sandwiches and a bag of chips costs $4.25. A sandwich costs $0.50 more than a bag of chips. Find the cost of a sandwich and a bag of chips
- Q Use the long division method to find the result when 3x-4x^2+10x - 11 isdivided by x 1. If there is a remainder, express the result in the form q(x) +...
- Q If f(x)= a*, show that f(A + B) = f(A). f(B).Rewrite f(A + B) by substituting A + B for x in the given function.f(A + B)=Which law of exponents...
- Q 1. A block of clay contains twenty 4-ounce portions of clay. A ceramics teacher wants to use the block to make as many spheres of clay as possible, each weighing...
- Q The area of a right triangle is 210 square inches. The height of the right triangle is 35 inches. What is the length of the hypotenuse of the right triangle?...
- Q Consider these functions: f(x) = 5x +2 g(x)=x-1 What is the value of g(f(-1))? A. 2 B. 8 C.22 D.48
- Q Answer the following. (a) The total surface area of Africa is approximately 11,700,000 square miles. Write this number in scientific notation. (b) The signal from a certain satellite takes approximately...
- Q A waterfall has a height of 700 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 16 feet per second. The height...
- Q Given that the polynomial f(x) has 7 x-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...
- Q Use the properties of exponents to simplify the following as much as positive. (X^5/6) / (x^3/5)=
- Q A pharmacy produces a certain medication in a daytime variety and a nighttime variety. A bottle of the daytime variety contains 2 ounces of the active ingredient and 6 ounces...
- Q Complete the sentence below. If 9^x = 9^6, then x = If 9^3x = 9^6, then x =
- Q The palm tree on the left is 10 years old. The palm tree on the right is 8 years old. The trees grow at the same rate. b. a. Estimate...
- Q Make a conjecture. Choose the correct answer below. A. cos 4x - sin 4x = (cos x) B. cos x - sin^x= cos x C. cosx- sin^x= cos 2x D....
- Q An airline finds that if it prices a cross-country ticket at $500, it will sell 300 tickets per day. It estimates that each $10 price reduction will result in 30...
- Q In a laboratory, it was observed that a colony of bacteria increases at the rate of 30% per hour. If the original number of bacteria is 10 000 how many...
- Q What is the area of a sector with a central angle of 4?/5 radians and a radius of 11 cm? Use 3.14 for ? and round your final answer to...
- Q The point (a, b) is on the terminal side of angle C in the coordinate plane. If a is a positive integer and b is a negative integer, which of...
- Q The population of a parish is growing with an annual percentage rate compounded continuously. The population reaches 1.1 times its previous size in 2 years.Find the annual percentage rate according...
- Q Suppose a ball is thrown upward to a height of h0 meters. Each time the ball bounces, it rebounds to a fraction r of its previous height. Let hn be...
- Q While attending a major league baseball game, you think you can guess the attendance within 10% of the actual value. If the announced attendance is 35,000, within what number of...
- Q A house is advertised as having 1500 square feet under roof. What is the area of this house in square meters?
- Q Sand falls from a conveyor belt at a rate of 11 m/min onto the top of a conical pile. The height of the pile is always three-eighths of the base...
- Q Given the function f(x)=x-21, x20, complete parts a through c.(a) Find an equation for f(x).(b) Graph f and f in the same rectangular coordinate system.(c) Use interval notation to give...
- Q Find the quotient and remainder using long division.25x + 45x + 30x + 8/5x+4The quotient isThe remainder is
- Q Evaluate the given expression and express the result using the usual format for writing numbers (instead of scientific notation).
- Q The function A = Age-0.00866x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material...
- Q A Food Marketing Institute found that 28% of households spend more than $125 a week on groceries. Assume the population proportion is 0.28 and a simple random sample of 193...
- Q A professional soccer player kicked a ball across the field. The ball's height, in meters, is modeled by the function graphed below. What's the average rate of change between the...
- Q A prism of angle 6 made from a crown glass of refractive index 1.5 is placed in contact with another prism, made of flint glass of refractive index 1.6. A...
- Q TV PURCHASES-AT A CIRCUIT CITY STORE, OF THOSE PURCHASING COLORTELEVISIONS PURCHASE A LARGE-SCREEN TV. FIND THE PROBABILITY THAT NONE OF THE NEXT FOUR PEOPLE WHO PURCHASE A COLOR TELEVISION AT...
- Q Mr. and Mrs. Brown anticipate that they will need $60,000 for their child's education in 18 years. If their savings account earns 4% compounded quarterly, how much would they need...
- Q View the video found on page 1 of this journal activity. Using the information provided in the video, answer the questions below. Show your work for all calculations.
- Q Sydney Dukes-Miller deposited $2,430 at 6.75%. She made no other deposits or withdrawals. How much simple interest did she earn in 65 days? What is the final amount in the...
- Q What is the center of the shape formed by the equation(x-3)/49 - (y+5)/25 = 1?(0,0)(-3,5)(3,-5)(9,25)(-9, -25)(x-3)
- Q Julio must invest a total of $6300 in two accounts, one paying 10% simple annual interest and the other paying 7% annual interest. If he wants to earn $534.00 annual...
- Q The length of a path going diagonally across a rectangular field is 100 yards, the width of the rectangular field is 50 yards. What is the measure of the angle...
- Q Consider the function f(x) = 25x - 64.a) Determine the zeros of the function:Writing values as simplified fractions if necessary. If there are multiple values,separate the solutions with a comma....
- Q The polynomial of degree 4, P(x), has a root of multiplicity 2 at x = 1 and roots of multiplicity 1 at x = 0 and x - 1. It...
- Q A car was valued at $40,000 in the year 1995. The value depreciated to $14,000 by the year 2007.A) What was the annual rate of change between 1995 and 2007?T=Round...
- Q Given a function f (x) = 2x + 3, what is the average rate of change of f on the interval [2, 2 + h]?112h +82h + 8h2h + 8h...
- Q Consider the equation below.f(x) = 2x + 3x = 120x(a) Find the interval(s) of increase and decrease.(b) Find the local minimum and maximum values of f.(c) Find the inflection point...
- Q A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 3 ft/s. How rapidly is the area enclosed by the...
- Q A linear function is given. Complete parts (a)-(d).f(x)=1/5x-6 (a) Determine the slope and y-intercept of the function.
- Q Select the correct answer from each drop-down menu.The barley plant has seven pairs of chromosomes. For a gamete, the number of genetic combinations that are possible through independent assortment is...
- Q A right triangle has sides that measure 24 and 32, but the length of the hypotenuse is unknown. What is the perimeter measurement of this triangle? Round youranswer to the...
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