Basic Math Questions and Answers

Find the sum, in degrees, of the six labeled angles. The sum of the six labeled angles is:.

A local health clinic surveys 50 patients about their water drinking habits. It found the data is normally distributed with a mean of 62 ounces and a standard deviation of 5.2. Estimate how much water, to the nearest hundredth of an ounce, do all of the clinic's patients drink each day, using a 99% confidence interval.

Solve the following expression when k = 12 and v=6 k V + 5 - 4v + 12

Solve for y. 3y² +12y=0 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

Question A television company uses a factory to manufacture one of its parts. The factory has a monthly fixed cost of $700 and an additional cost of $60 per part. If C is the total cost of using the factory for a month, and P represents the number of par the factory manufactures in a month, which of these is the correct relationship between P and C? Select the correct answer below: OP=700C+60 OC=700P+60 OP=60C+700 OC=60P+700

Rebecca has 30 paintings to sell. The amount of money Rebecca makes from selling x paintings is represented by a function. f(x) = 25x What is the practical domain of the function? all multiples of 25 between 0 and 750, inclusive all integers from 0 to 30, inclusive all real numbers all integers from 0 to 25, inclusive

Question Given that the polynomial f(x) has 5 turning points, which of the following most accurately describes the degree of f(x) Select the correct answer below: O The degree of f(x) is at most 6. O The degree of f(x) is at most 5. The degree of f(x) is at least 6. O The degree of f(x) is at most 4. O The degree of ƒ(x) is at least 4. The degree of f(x) is at least 5. FEEDBACK MORE INSTRUCTION SUBMIT

Julia is solving a system of equations using elimination. The first two steps of her solution are shown below. List a property of equality to justify each of her steps. Then, find the solution of the system of equations. 4x + 3y = 6 2x - 5y = 16 Multiply by -2. 4x + 3y = 6 -4x+10y=-32 0 + 13y =-26

GRAVITATION The height h(t) in feet of an object t seconds after it is propelled straight up from the ground with an initial velocity of 60 feet per second is modeled by the equation h(t) = -16t² + 60t. At what times will the object be at a height of 56 feet?

Question 2 of 19 The population of India was about 1,380,000,000 people in 2020. Which number best approximates the population as a single digit times a power of 10? A. 1 × 10⁹ OB. 3 × 108 OC. 1 × 10-9 OD. 3 × 10⁹

An rock is thrown downward from a platform that is 215 feet above ground at 55 feet per second. Use the projectile formula h - 16t² + vot + ho to determine when the rock hit the ground. -[Recall that vo is the initial velocity of the object and he is the inital height of the object.] Answer: The rock will hit the ground after Note: Round any numerical responses to two decimal places. If there are multiple answers, separate them with commas. Select an answer

An rock is thrown upward from a platform that is 191 feet above ground at 65 feet per second. Use the projectile formula h 16t² + vot + ho to determine when the rock hit the ground. -[Recall that vo is the initial velocity of the object and he is the inital height of the object.] Answer: The rock will hit the ground after Select an answer Note: Round any numerical responses to two decimal places. If there are multiple answers, separate them with commas.

Which expression is equivalent to sec α (1 - cos²α) for all values of α for which secα(1- cos²α) is defined? Select the correct answer below: sin² α sin α tan α tan α csc²α sec² α

Let S be the universal set, where: S = {1, 2, 3, 18, 19, 20} 9 Let sets A and B be subsets of S, where: Set A = {1, 2, 3, 5, 6, 8, 9, 13, 14, 16, 17, 18} Set B = {5, 6, 9, 13, 15, 16, 17, 18, 19, 20} Find the following: LIST the elements in the set (A U B): (AUB) = { } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the set (AN B): (An B) = { } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE You may want to draw a Venn Diagram to help answer this question.

The diameter of the Sun is about 1.4 x 106 km. The diameter of the planet Venus is about 12,000 km. What is the approximate ratio of the diameter of the Sun to the diameter of Venus? OA. 8.5 x 102 OB. 1.17 x 10² OC. 8.5 x 10-3 OD. 1.17 x 10³

4. The amount of garbage, G, produced by a city with population p is given by G = f(p). G is measured in tons per week, and p is measured in thousands of people. a. The town of Pleasantville has a population of 7,221 and produces 3 tons of garbage each week. Express this information in terms of the function f

Find the real solutions of the following equation. 11x3 +15x²-25x+7=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. **** * A. The solution set is (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate ans B. The solution set is Ø.

Read the question and type your response in the box provided. Your response will be saved automatically. The Jones family went to a play and paid $74 for 2 adults and 2 children The Tucker family went to the same play and paid $86 for 2 adults and 3 chil $

Find the real solutions of the following equation. 2x³-3x2-10x+15=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ****. Points: 0 of 1 OA. The solution set is. (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed. Type each answer only on B. The solution set is Ø.

Find an equation for the ellipse. Graph the equation. foci at (8,-1) and (-4,-1); length of major axis is 16 Type the left side of the equation of the ellipse. 2 y² 28 x² 2 X 64 + = 1

The path of a baseball, hit 3 feet above ground, is modeled by the function f(x) = -0.01x²+x+3, where f(x) represents the vertical height of the ball and is the horizontal distance. How far across the field, in feet, will the ball travel before hitting the ground? Round to two decimal places.

A speck of dust is 1.2 x 10-6 m wide. Which of the following is the best way to rewrite this quantity, using more appropriate units ? OA. 1.2 x 10-6 m OB. 1.2 x 103 mm OC. 1.2 x 10-4 cm OD. 1.2 x 10 ⁹ km

A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of machines made. If x machines are made, then the unit cost is given by the function C(x)=0.5x²-130x+21,756. What is the minimum unit cost? Do not round your answer.

Use a calculator to solve the following equation for θ on the interval (0, π). cot (θ) = -2.285

Determine the domain and range of the following parabola. f(x) = −2x² + 16x − 31 Enter your answer as an inequality, such as f(x) ≤ -1, or use the appropriate symbol for all real numbers. Provide your answer below: Domain: Range:

Graph the parabola. y=x²-4x-1 Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button.

Berto a to the total cost of the gas, y, includes the greatest amount of gas Berto can buy? has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas

Find the y-coordinate of the y-intercept of the polynomial function defined below. f(x) = 5x²+2x-3x^4 + 6x^3 +62³

Cell Phone Ad Spending A certain industry's ad spending between 2005 (t = 1) and 2011 (7) is projected to be S(t) = 0.8510.97 (1st≤7) where S(t) is measured in billions of dollars and t is measured in years. What is the projected average spending per year on these ads between 2005 and 2011? (Round your answer to two decimal places.) x billion/yr $

Use the graph of the function f to solve the inequality. (a) f(x) < 0 (b) f(x) ≥ 0

2. Determine the constant of proportionality for each proportional relationship. Assume that y represents all of the outputs and x represents all of the inputs. a. 2x = 10y b. (³) y = 8x y 10 C. = 10x d. (12)x=y from all over the world. She is reorganizing her collection into coins from Europ to the conclusion that six

The population of New York City in 2013 was about 8,406,000 people. Which number best approximates the population as a single digit times a power of 10? OA. 9×105 OB. 9×106 OC. 8×106 D. 8 x 10-6

The speed of light in a vacuum is about 300,000,000 meters per second, which can be written as 3 x 100 meters per second. What is n? OA. -8 OB. 8 O C. -9 O D. 9

The Treasury Department auctioned $10 billion in 3-month bills in denominations of $10,000 at a discount rate of 3.000%. What would be the effective rate of interest? (Use calendar year. Do not round intermediate calculations. Round your answer to the nearest hundredth percent.) Effective rate of interest

Using the notation discussed in lecture, suppose a triangle has the following parts: Angle A = 40 degrees, a = 15, b = 20 There are two possibilities for the measure of Angle B, one being an acute angle and the other an obtuse angle. Find these two measurements, rounded to the nearest degree. Then fill in the blanks with these approximate values: The measure of Angle B that is an acute angle is The measure of Angle B that is an obtuse angle is degrees. (Enter an integer.) degrees. (Enter an integer.)

Yaster Shipping, a competing package delivery service, charges a base price for overnight delivery of packages weighing 2 pounds or less and a surcharge for each additional pound (or fraction thereof). You are billed $25.60 for shipping a 6.3 pound package and $63.79 for shipping a 18.0 pound package. How much does it cost to ship a 49.6 pound package?

If a certain number is added to the numerator and denominator of 7/11 the result is 4/5. Find the number. The number added to both is

A construction crew needs to pave a road that is 208 miles long. The crew paves 8 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function. L(d)=208-8d Answer the following questions. (a) If 144 miles of the road is left to be paved, how many days has the crew been paving the road? (b) How many miles of the road does the crew have left to pave after 12 days?

Let G be the directed graph whose vertices are the integers (2, 3,... N). A directed edge goes from a to b if b/a is an integer greater than 1. Which is the smallest given N so that some vertex in G has in-degree at least 6? 12 16 30 35 I need to learn this.

A small airplane flies 1120 miles with an average speed of 280 miles per hour. 2 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time; what was the average speed of the 747?

Ms. Santoro is opening a one-year CD for $16,000. The interest is compounded daily. She is told by the bank representative that the annual percentage rate (APR) is 4.8%. What is the annual percentage yield (APY) for this account?

Given that the degree of the polynomial f(x) is 9, which of the following most accurately describes the number of x- intercepts that f(x) has? Select the correct answer below: f(x) has at most 8 x-intercepts. f(x) has at least 8 x-intercepts. f(x) has at least 10 x-intercepts. f(x) has at most 9 x-intercepts. f(x) has at least 9 x-intercepts. f(x) has at most 10 x-intercepts.

On the graph of f(x) = tan x and the interval [-π, π), for what value of x does f(x)=1? Select all that apply:

Which of the q-values satisfy the following inequality? 6-3q ≤1 Choose all answers that apply: A q=0 B q = 1 C q = 2

Solve the following inequality. (x + 5)²(x-3) >0

Water has been draining out of a tank for 10 minutes and has 18 cubic feet of water left in it. Use inverse variation to determine how much time it will take to have only 3 cubic feet of water left.

You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0.214. How confident can you be that your predicted value will be reasonably close to the actual value? A. I can't be confident at all; this is about as close to a random guess as you can get. B. I can be a little confident; it might be close, or it might be way off. C. I can be very confident; it will be close, but it probably won't be exact. D I can be certain that my predicted value will match the value exactly

A hemispherical tank is filled with water and has a diameter of 14 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?

The weight of a blue whale is about 200,000 kg, or 2 x 105 kg. The weight of a white rhinoceros is about 2000 kg, or 2 x 10³ kg. About how many times heavier is the blue whale than the rhinoceros? A. 1x 102 times B. 4 times C. 1x 10-2 times D. 198,000 times

Identify a pattern in this list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) 1, 4, 9, 16, 25, 36,