Basic Math question and answers for May 25, 2024
- Q 7. On a group trip to a certain city, 20 people who were 25 years old, 20 people who were 30 years old, and 20 people who were 35 years...
- Q Laura wants to determine the miles-per-gallon rating of her car. She filled the tank when the odometer read 14,959 miles. She then drove her car on a trip. At the...
- Q Solve for x and graph the solution on the number line below.-4x - 6? -18 and -4x - 6? -30
- Q Use finite approximation to estimate the area under the graph of f(x)=4x and above the graph of f(x)=0 from xo=0 to x?=2 usingi) a lower sum with two rectangles of...
- Q Find all zeros of the function f(x) = 6x + 7x - 8x - 5. Enter the zeros separated by commas.
- Q A person starts a fire in a field. The fire is expanding outward in all directions forming a larger and larger circle. The radius of the circular fire is increasing...
- Q 5. Rectangle A is dilated to form rectangle B.A 620B30What scale factor was used? Enter the answer and also provide a 1 sentence explanation that describes how you determined your...
- Q Find the slope of the line passing through the points (-8, -3) and (-3, 4).
- Q Abigail's math teacher finds that there's roughly a linear relationship betweenthe amount of time students spend on their homework and their weekly quizscores. This relationship can be represented by the...
- Q Find all zeros of f(x) = x - 5x+x-5. Enter the zeros separated by commas.
- Q Graph the solution set. If there is no solution, indicate that the solution set is the empty set.1y-x-42y?x-2
- Q Suppose $5000 is invested at 8% interest compounded continuously. How long will it take for the investment to grow to $10000?Use the model A(t) = Pet and round your answer...
- Q What is the diagonal of a rectangular room which measures 14 feet by 6 feet?
- Q Consider the following polynomial function.f(x) = (x + 2)(x-4)(x ? 3)Step 1 of 3: Find the degree and the y-intercept. Express the intercept as an ordered pair.
- Q This equation shows how the distance Darren has cycled depends on the number of trips hehas taken to work.d = 2tThe variable t represents the number of trips he has...
- Q problem. 28x-*=20-8The function f(x) = 500(0.5)x/100 models the amount in pounds of a particular radioactive material stored in aconcrete vault, where x is the number of years since the material...
- Q A person x inches tall has a pulse rate of y beats per minute, as given approximately byy = 584x-1/2for 30?x? 75.What is the instantaneous rate of change of pulse...
- Q Isaiah had 6 inches of snow on his lawn. It then began to snow at a rate of 2 inches per hour. Assume no snow melted. Answer the questions below...
- Q For events A, D and G, we know that p(A)=0.4, p(D?G|A)=0.7 and p(D?G|-A)=0.8. Determine p(~A|D?G).
- Q The manufacturer of color televisions can sell 1000 sets to his dealers at $376 each. If the price is $280, he can sell 2200 sets. The total cost of producing...
- Q Leanne works at a greenhouse. She needsto plant a total of 32 bulbs. Two types ofbulbs are available. She is asked to plantthree times as many crocus bulbs as tulipbulbs....
- Q You are hiking along the edge of the Green River (which is running straight in the area of interest).Straight across from you on the opposite shore there is a particularly...
- Q Find the value or values of c that satisfy the equation f(b)-f(a) / b-a = f'(c) in the conclusion of the mean value theorem for the given function and interval.f(x)=?x-5,...
- Q A pendulum is a weight suspended from a fixed point that swings back and forth under the influence of gravity. The timethat it takes for the pendulum to complete one...
- Q For the dinner special at a restaurant, the customer must choose a salad, an entree, a side dish, and a dessert.Here are the items to choose from.ChoiceSaladEntreeSide dishDessertPossible itemsSouthwest, GardenRoast...
- Q A shirt is on sale for 25% off. Sandy paid $7.50 for the shirt. What was the shirt's regular price?A) $10.00B $2.50C) $8.00D $9.38
- Q It can be shown that if (x,x + 1,y) is a Pythagorean triple, then so is (3x + 2y + 1,3x + 2y + 2,4x + 3y + 2). Use...
- Q Suppose the demand for a certain brand of a product is given by D(p) =-P2/189 +250, where p is the price in dollars. If the price, in terms of the...
- Q Find the critical value z a/2 that corresponds to a 91% confidence level.1.701.751.6451.34
- Q Given the vector u = (1,-6), find the magnitude and angle in which the vector points (measuredcounterclockwise from the positive x-axis, 0? ? < 2?)
- Q Event A and B are conditional independent events given D with p(A|D)=0.6, p(B/D)=0.8. Determinep(~A?~B|D).
- Q Suppose that an airline uses a seat width of 16.6 in. Assume men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation...
- Q The first derivative of the continuous function y = f(x) is given below. Find y'' and then use the critical points of f, the behavior at the critical points, and...
- Q Given events A, B, C with p(A)=0.4, p(B?C|A)=0.8, p(B?C|~A)=0.2, find p(B?C).
- Q Evaluate tan(90). undefined
- Q Six students, A, B, C, D, E, F, are to give speeches to the class. The order of speakingis determined by random selection. Find the probability that (a) E will...
- Q Find the value or values of c that satisfy the equation f(b) - f(a) / b-a = f'(c) in the conclusion of the Mean Value Theorem for the given function...
- Q Solve the system by using the addition method.5x + y = 146x-7y2 =-57There are infinitely many solutions. The solution set is the empty set, {}. The solution set is a...
- Q The surface area of an open-top box with length L, width W, and height H can be found using theformula:A = 2LH+2WH + LWFind the surface area of an open-top...
- Q For a school band trip, Marcia decides toorder T-shirts for all of the participants. Itwill cost $4 per shirt for the medium size,and $5 per shirt for the large size....
- Q Use the long division method to find the result when3x + 13x - 29x +28x -22 is divided by x + 5x - 7. If there is a remainder, express...
- Q Change the following quadratic from standard form into vertex form by completing the square. y=-x+14x-43 y=-(x-7) +6 y = (x+7) +6 y=(x-7)2-43 y = -(x +72-6 y=(x-7)+6
- Q You have $2,000 on a credit card that charges a 13% interest rate. If you want to pay off the credit card in 3 years, how much will you need...
- Q Answer the questions below about the function whose derivative is f'(x) = 1 --a. What are the critical points of f?b. On what open intervals is f increasing or decreasing?c....
- Q A population has a mean = 88 and a standard deviation ?=30. Find the mean and standard deviation of a sampling distribution of sample means with sample size n =...
- Q The angle of elevation to the top of the Empire State Building in New York is found to be 11 degreesfrom the ground at a distance of 1 mile from...
- Q Mrs. Torres is mailing a package that weighs 12.5 pounds. The post office charges bythe ounce to mail a package. How much does the package weigh in ounces?187 ounces200 ounces192.5...
- Q Convert the following angle measure from degrees to radians.315?
- Q A ramp is set up from a truck's trunk to the ground. The ramp's end at the edge of the trunk is 3.7 ft high. If the anglebetween the ramp...
- Q Scientists are studying the temperature on a distant planet. Let y represent the temperature (in degrees Celsius). Let x represent the height above the surface(in kilometers). Suppose that x and...
- Q Use the long division method to find the result when 12x + 23x + 30x + 25 isdivided by 4x +5.
- Q Solve for a and graph the solution on the number line below.Number Line:Inequality Notation:-12 -10 -8-4x+9 > 1 or -39-4x +9-6or-4 -2 0 2 4Click and drag to plot line.68I10...
- Q Shane is following an English recipe for scones. The recipe calls for 1.2 kilograms of flour.How many pounds of flour, to the nearest tenth of a pound, does he need?Enter...
- Q What is the purpose of the QUADRATIC FORMULA?A Determine the distance between two pointsB Calculate the axis of symmetry of a quadratic functionDetermine the zeros of a quadratic functionD Calculate...
- Q If the hypotenuse of a right triangle is 1 m more than the longer leg and the shorter leg is 11 m long, find the length of the longer leg.The...
- Q One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 180.2 milligrams of vitamin C. Two eight-ounce glasses of apple juice and three...
- Q For any integer n greater than 1, (2n,n-1,n + 1) is a Pythagorean triple. Use this pattern to find the Pythagorean triple generated when n= 9.The Pythagorean triple is(Simplify your...
- Q Solve each equation. Write the properties that justify each step of your solution.3x-8--7x+18-2(4-x) 12x-3
- Q An object is thrown upward at a speed of 67 feet per second by a machine from a height of 13 feet off the ground. Theheight of the object after...
- Q A person starts walking from home and walks:4 miles East6 miles Southeast4 miles South3 miles Southwest2 miles EastThis person has walked a total ofFind the total displacement vector for this...
- Q If AC is a perpendicular bisector,Select ALL that apply(Select all that apply.)The measure of Angle ACB is 90Point C is the midpoint of BDMeasure of angle BAC is congruent to...
- Q Sanjay has borrowed $390 on his father's watch from a pawn shop. He has agreed to pay off the loan with $420 one month later. What is the annual interest...
- Q Convert 70 in. to cubic centimeters. Round your answer to the nearest thousandth, if necessary.
- Q Use your calculator to find6.3 x 105/7.8 x 102rounded to one decimal place.Give your answer in scientific notation, with the mantissa
- Q A teacher and 8 students are to be seated along a bench in the bleachers at abasketball game. In how many ways can this be done if the teacher must...
- Q Multiply (8 108) (3 10-9).Write your answer in scientific notation. For example, you'd enter 2.3*10^4 for 2.3 - 10
- Q The radioactive substance cesium-137 has a half-life of 30 years. The amount A (r) (in grams) of a sample of cesium-137 remaining after years is given by thefollowing exponential function.A...
- Q A laptop computer is purchased for $2350. After each year, the resale value decreases by 30%. What will the resale value be after 4 years? Use the calculator provided and...
- Q 4. Susan and Dan went to the roof of their 30-foot tall high school to throw their math books off the edge. Theinitial velocity of Susan's book was 42 feet...
- Q A casino hotel manager has approximated demand for two-room suites to be p = 9000 qwhere p is the price (in dollars) and q is the quantity demanded. Use18implicit differentiation...
- Q What is the simple interest rate on a $2450 investment paying $951.83 interest in 10.5 years?% (round to the nearest tenth of a percent)
- Q 1. For the given function: y = x(x + 2)(x + 1)A. What is the degree and leading coefficient?B. Determine the end behaviorC. Find the y intercept if anyD. Find...
- Q Compute the total cost per year of the following pair of expenses. Then complete the sentence: On an annual basis, the first set of expenses issecond set of expenses.Suzanne's cell...
- Q If cos (0) = -1, what values could be ?Select all that apply.
- Q Convert these numbers written in pseudo-scientific notation to scientific notation.a. 472 x 10-4b. 61 x 10-4c. 0.03 x 106d. 0.0051 x 10-7
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