Basic Math Questions and Answers

A factory manufactures parts for a new television at a cost of $30 per part, and also has a monthly fixed cost of $600. If P represents the number of parts the factory manufactures in a month, and C is the total cost, write the linear equation that represents the relationship between P and C.

Given that the polynomial f(x) has 4 turning points, 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 degree of f(x) is at most 5. The degree of f(x) is at least The degree of f(x) is at most 4. The degree of f(x) is at least 3. The degree of f(x) is at least 5.

27 boxes of coconut creams for $14.95 each 36 boxes of pralines for $11.39 each 14 boxes of raspberry bites at $8.50 each Round the cost of each box to the nearest dollar, and then estimate the amount of money that the class earned. $927 $963 $1,025 $913

There are 240 students going on a field trip. Each school bus can hold 48 students. Complete the equation to show which operation to use and how many school buses are needed. Then complete the sentence to explain your reasoning. because 240 students need to be split into equal groups of 48 students.

For a total accumulated amount of $3687.52, a principal of $2000, and a time period of 9 years, use the compound interest formula to find r, if interest is compounded monthly.

In a race in which seven automobiles are entered and there are no ties, in how many ways can the first three finishers come in?

Andrew is watching the stock market. He recorded the changes every day, as follows: • Day 1: Opened at 4,798.68 points Day 2: Lost 125.07 points Day 3: Lost 36.5 points Day 4: Gained 52.71 points ● ● Round each number to the nearest whole number. Then, add the values to find the value on Day 5. O O 4,690 4,689 4,691 4.584

Find the vertex, focus, and directrix of the following parabola. Graph the equation. Verify your graph using a graphing utility. (y-2)² = 8(x+3) The vertex of the parabola is (-3,2). (Type an ordered pair.) The focus of the parabola is. (Type an ordered pair.)

A can of tennis balls has a diameter of 3 in. and a height of 9 in. Find the volume of the can to the nearest cubic inch.

A survey of a random sample of voters shows that 66% plan to vote for Katie and 34% plan to vote for Casey. The survey has a margin of error of ±2%. What is the range for the percentage of voters who plan to vote for Katie?

Solve the system of linear equations by graphing. (2x-y=0 3x+y=5

Points: U of 1 In triangle ABC, the angles A and B have the same measure, while the measure of angle C is 18° larger than the measure of each of A and B. What are the measures of the three angles? The measure of angle A and the measure of angle B are each (Type a whole number.)

For some particular website, the password must start with one of the letters A, B, C, D, E, or F. Then there must be 2 more charaters, and each of those characters may be a numeric digit or a letter of the alphabet. How many different passwords are possible?

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