Basic Math question and answers for July 16, 2024
- Q Classify the following: The number letters in a city and the population of the city.Correlation onlyNo correlationCorrelation that implies causation
- Q ...... is a sample used by chance methods in statistics. Every member of the populationhas the same chance of being selected.controlbiasedrandomindependent
- Q A hydraulic system contains one small piston with a area of 2 square inches and one large piston with an area of 10 square inches. If a force of 70...
- Q Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return trip, it takes 5 hours.If x=...
- Q Factor: f(x) = x - 4x - 12(x-6)(x+2)(x-3)(x + 4)(x-4)(x + 3)(x-2)(x+6)
- Q The function below shows the cost to attend the fair if you ride r rides. f(r)= 5+1.75r. What is the slope, and what does it mean in the context of...
- Q Identify the study as observational, experimental, survey or neither.An entrepreneur stands on a street corner of New York city and counts the number of people of with dogs that walks...
- Q On a second class lever, a 80 lb input force (effort force) is 42 inches from the fulcrum. Where should a 300 lb load (resistance force) be placed so it...
- Q Find the inverse function for the following: f(x) =2+3x/5x and use your result to show that f(f-(x)) = x.(HINT: f(f-(x)) is just function notation.... you are being asked to replace...
- Q On a first class lever, a weight of 62 lb is 1.5 feet feet from the fulcrum. How far from the fulcrum should an effort or input force of 10.1...
- Q Given f(2)= 12, which of the following could be an equation of the function?A. f(x) = 8x-2B. f(x) = 4x + 4C. f(x) = 6x-4D. f(x) = -4x - 4Please...
- Q The following system of equations isy=-1/3x+2/32x+6y=4independentinconsistentequivalent
- Q Find the measure of the third angle of a triangle if the measures of the other two angles are given. 102.9 and 40.4A. 43.2B. 56.7C. 46.7D. 36.7
- Q Point A lies outside of plane P, how many lines can be drawn parallel to plane P that pass through point A?A. 2B. an Infinite numberC. 1D. O
- Q The logistic growth function f(t) = 103,000/1+4500 e^-t describes the number of people, f(t), who have become ill with influenza t weeks after its initial outbreak in a particular community.a....
- Q An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e ^-0.000121t describes the amount of carbon-14 present after t years. Use the model to...
- Q What types of concurrent constructions are needed to find the orthocenter of a triangle?A. Intersection of the lines drawn to the midpoint of each side of the triangle to its...
- Q The areas of two similar pentagons are 32 in and 72 in. Find the ratio of larger pentagon's perimeter to the smaller pentagon's perimeter.A. 9:4B. 25:9C. 5:3D. 3:2
- Q The logistic growth function f(t)=111,000/1+5000 e-t describes the number of people, f(t), who have become ill with influenza t weeks after its initial outbreak in a particular community.a. How many...
- Q The areas of two similar rectangles are 540 ft2 and 135 ft2. Find the similarity ratio of smaller rectangle to the larger rectangle.A. 1:2B. 1:3C. 1:4D. 2:5
- Q Calculate the amount of money you'll have at the end of the indicated time period.You invest $3000 in an account that pays simple interest of 4% for 10 years.
- Q Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob spends a total of $18.25 on two bags ofpopcorn and three drinks. Zachary spends a...
- Q Last summer, a group of high school students farmed a plot of land. They harvested 13 bushels of vegetables to give to a food pantry. Next year the students will...
- Q Subtract and simplify your answer.7/X-6 - 6/X+5
- Q If the coordinate of A is (0, -2) and the coordinate of B is (10, -6), the then midpoint of AB is:Part AThe X portion of the midpoint isPart BThe...
- Q Factor by using the perfect-square trinomial formula.25x +20xy+4y
- Q A population has a mean = 71 and a standard deviation a=36. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=81.H =...
- Q Use the formula for continuous compounding to compute the balance in the account after 1, 5, and 20 years. Also, find the APY for the account.A $7000 deposit in an...
- Q 2x-y-4-03x+y-9-0What is the solution set of the given system?
- Q $8,000 is invested in two different accounts earning 3% and 4% interest. If the two accounts earn a total of $295 in interest, how much money was invested at 3%?$2.500$3,500$5.500
- Q The sum of Pete's and Sam's ages is 30. Five years ago, Pete was 3 times as old as Sam. How old isSam?Let P Pete's age, S-Sam's age, and PS=...
- Q If the numerator of a fraction is increased by 3, the fraction becomes 3/4. If the denominator isdecreased by 7, the fraction becomes 1. Determine the original fraction.Which of the...
- Q y-2x+32y-4x+6The system of equations has solution(s).oneInfiniteno
- Q 5x + 2y = 7y=x+1What is the solution set of the given system?(16/7, 9/7))(5/7, 12/7))((12/7, 5/7)((9/7, 16/7)
- Q The similarity ratio of two similar parallelograms is 4/5 . The area of the smaller parallelogram is 64 in. Find the area of the larger parallelogram.A. 92 inB. 88 inC....
- Q A box with a square base and no top is to be made from a square piece of carboard by cutting 2 in. squares from each corner and folding up...
- Q 2y = x + 35y = x - 7What is the solution set of the given system?((-29/3, -10/3)][(29/3, 10/3)]}((-1/3, -4/3)]((1/3, 4/3)]
- Q What is the x-coordinate of the solution of the following system of equations3x + y = 6x-y=6-303
- Q 2x + y = -2x+y=5The x-coordinate of the solution to the system shown is-373-7
- Q Solve the following system of equations by the substitution method.8x = 2y + 53x = y +7What is the solution set?
- Q Find the sum and classify the polynomial based on degree and number of terms.3n2(5n22n + 1) + (4n - 11n4 -9)A 4th degree polynomial with 4 termsB. 3rd degree polynomial...
- Q What are the solutions of this quadratic equation?x =16x- 65
- Q Against the wind a small plane flew 175 miles in 1 hour and 10 minutes. The return trip took only 50 minutes. What was the speed of the wind? What...
- Q Select the best method of finding an accurate solution to a system of linear equations.algebraic methodsgraph the linesguess and check
- Q Board feet is a measurement of lumber volume. A board foot is equal to 144 in3 of wood. About how many board feet is a piece of lumber that measures...
- Q When solving a system of linear equations, try to algebraically form one equation that has only one variable.TrueFalse
- Q The demand equation for a certain product is given by p = 124 0.065x, where p is the unit price (in dollars) of the product and is the number of...
- Q Suppose you have $14,000 to invest. Which of the two rates would yield the larger amount in 2 years: 8% compounded daily or 5.87% compounded continuously?Which of the two rates...
- Q x-y=20.2x + 0.4y=1The x-coordinate of the solution to the system shown is631
- Q Chose the equation for a line that passes through (2,-3) and has a slope of m=-4 in point slope form.A y-3=-4(x- 2)B y-2=-3(x+4)C y+3=-4(x-2)D y+2=-4(x+3)
- Q Find the point-slope equation of the line with slope -3 that passes through the point (2, -10).Solution:y-y1=m(x-x?)y-(2)=-3(x-(-10))y-2=-3(x+10)The equation of the line is y-2=-3(x+10).
- Q You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the 14 children present in your van. How many different...
- Q Find the partial fraction decomposition of the given rational expression.16x + 34/4x + 12x + 8
- Q Catelyn invested $7000 in an account that earns 5.6% interest, compoundedannually. The formula for compound interest is A(t) = P(1 + i)t.How much did Catelyn have in the account after...
- Q One solution to a quadratic function, h, is given.-4 + 7iWhich statement is true?Function h has no other solutions.The other solution to function h is -4 - 7i.The other solution...
- Q Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge, and be neat. When you are finished,...
- Q A vehicle purchased for $27500 depreciates at a constant rate of 7%. Determine the approximate value of the vehicle 13 years after purchase.
- Q Robert invested $200 in a retirement account that had a rate of 20% that compounds annually. If Robert leaves his money in for 3 years, how much money will be...
- Q Simplify by rationalizing the denominator.?13+?3/?13-?3
- Q Solve the following system of equations graphically.x+y-4 = 0-x-y=0The solution lies in quadrant.llIIIIIV
- Q NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = -4.9t +238t+402.Assuming that the rocket will splash...
- Q Solve for A.BA+ C = DA=(C-D)/BA (D-C)/BA D-B-C
- Q Find the zeros of the function, and their multiplicities.f(x) = x - 6x -x+6
- Q Dwayne's garden is triangle-shaped with two equal sides and a third side that is 4 ft more than the length of an equal side. If the perimeter is 49 ft,...
- Q Using the intermediate value theorem, determine, if possible, whether the function f has at least one real zero between a and b.f(x)=x4-3x-6; a=3, b=5Select the correct choice below and, if...
- Q Select the correct answer from the drop-down menu.A company sells its product to distributors in boxes of 10 units each. Its profits can be modeled by this equation, where p...
- Q Concrete can be purchased by the cubic yard. How much will it cost to pour a circular slab 18 ft in diameter by 3 in. for a patio if the...
- Q Simplify the equation. Then solve by the quadratic formula.3x2-6x+5=0X=
- Q Graph the solution of the following system.x-y 2 -4- 3x-y ? 5Use the graphing tool to graph the system.
- Q What is the SUM of the angle measures in a nonagon (9 sides)A 900B) 1080C 1440D 1260
- Q If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.Angle-Angle-Side (AAS) Congruence TheoremBSide-Side-Side...
- Q For the function f(x)=x9 - 8x + 8x - 7, state:a) the maximum number of real zeros that the function can have;b) the maximum number of x-intercepts that the graph...
- Q Which set of integers does NOT represent the lengths of the sides of a triangle?A. {4,7,9)B. (6,6,11}C. {4,8,12)D. (9,10,11)
- Q 23 less than twice a number is - 15. Find the number.
- Q A sector of a circle has a central angle of 120. Find the area of the sector if the radius of the circle is 14 cm.
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