Basic Math Questions and Answers

Use the long division method to find the result when 3x³ + 7x² + 14x + 10 is divided by x + 1.

Determine if the expression 7p5 - + p is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial. P 10

Rewrite the polynomial in the form ax + by + c and then identify the values of a, b, and c. y + 1/3 - x

The following relationship is know to be true for two angles A and B: sin(A) cos(B) + cos(A)sin(B) = 0.927966 Express A in terms of the angle B. Work in degrees and report numeric values accurate to 2 decimal places. A =

In a large population, 51 % of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal (to at least 3 places) or fraction,

Factor completely. x² - 9

A plane flies 250 kilometers with a bearing of N 28° W from A to B. The plane then flies 500 kilometers southwest from B to C. C is directly west of A. Find the bearing of the flight from B to C. Round to the nearest 10th.

Error Analysis A contractor purchases 5 dozen pairs of padded work gloves for $69.60. He incorrectly calculates the unit price as $13.92 per pair for the expense report. What is the correct unit price? What is the error?

Billy made a sphere out of modeling clay. The sphere has a radius of 2 inches. Approximately how much modeling clay did Billy use? 4.2 cubic inches 25.1 cubic inches 33.5 cubic inches 50.3 cubic inches

Calculate the inventory turnover at cost for Ricky's Department Store. The starting inventory at cost was $483,800 and the ending inventory at cost was $238,000. Cost of goods sold for the year totaled $2,610,660. (Round your answer to the nearest tenth.) 3.6 4.9 7.2 10.9

Using deductive reasoning, which statement is true given the following information? Fred hates all bugs. Cicadas are insects. All bugs are insects. Select the correct answer below: Fred loves cicadas. Fred likes cicadas. Fred hates cicadas.

Use the long division method to find the result when 3x³ - 29x² - 16x - 8 is divided by 3x + 1. If there is a remainder, express the result in the form

Which equation has the same solution as x² + 18x - 19 = -4?

Here is another riddle: • The sum of two numbers is less than 2. • If we subtract the second number from the first, the difference is greater than 1. What are the two numbers? 1. The riddle can be represented by a system of inequalities. Write an inequality for each statement.

Leo is making lemonade. He puts the juice from 6 lemons into 2 liters of water. Fill in each statement. For every 1 lemon, Leo uses If he uses 12 lemons, he would need!

Jacob wants to buy a house. He has $11,500 to invest in an account that compounds interest continuously What interest rate would he need to get in order to have $18,000 at the end of 6 years? Round your answer to the nearest tenth of a percent.

Simplify the expression to a + bi form: 36+√-12-√64-√-147

The perimeter of a rectangle is 78 cm. The length is 7 more than the width. Write two equations that would be used to solve the system.

The perimeter of a geometric figure is the sum of the lengths of its sides. If the perimeter of the pentagon (five-sided figure) to the right is 60 meters, find the length of each side. Note that the figure is not to the scale.

A sphere fits inside a cube with the sphere's diameter equal to the width of the cube, 20 centimeters. What is the approximate volume of the cube not filled by the sphere? A. 4189 cm³. B. 3811 cm³ C. 8000 cm³ D. 5644 cm³

Which best describes her prediction? interpolation, because a key that is 12 keys from middle C is within the data set interpolation, because a key that is 12 keys from middle outside the data set extrapolation, because a key that is 12 keys from middle C is within the data set extrapolation, because a key that is 12 keys from middle C is outside the data set

Perform the operation. (-10x²-10x + 3) - (-4x²-x)

The product of two consecutive even numbers is 624. Find the numbers. Enter your responses surrounded by brackets [] and in order from least to greatest. So, if the numbers were 9 and 4, you would enter [4,9]. If there are multiple sets of numbers that solve the problem, separate the responses with commas, for example enter [4,9],[5,10] .

Sally bought an item and the dealer told her that its change in value is modeled by the function V(t) = 10000 (0.985)t where V(t) is the value in dollars t years after its purchase. If values continue at that rate, calculate how long will it take until the item is worth only half of what Sally paid for it. Round your answer to the nearest whole year when the value is no more than half of what she paid. It will be worth about half of its original value after about years.

In the diagram, a right circular cylinder with a radius of 3 inches is intersected vertically by a plane passing through points A and B, the centers of the circular bases. What is the perimeter of the figure formed by the intersection of the plane and the cylinder? 17 inches 20 inches 26 inches 40 inches

Select the equivalent expression. x-1.x-8/x7

Tony Ring wants to attend Northeast College. If he deposits $66,969 today, how much will he have 5 years from now at 6% interest compounded semiannually? (Use the Table provided.) (Do not round intermediate calculations.

Give the measure of the supplement of the angle. yº The measure of the supplement of the angle yº is (Type an expression using y as the variable.)

Read this passage: Amendment III No Soldier shall, in time of peace be quartered in any house, without the consent of the Owner, nor in time of war, but in a manner to be prescribed by law. What is the main idea of this amendment from the Bill of Rights? A. Soldiers cannot enter a private home unless the owner allowsh B. Soldiers can lawfully enter a private home during times of war. C. Homeowners have the right to remove any soldiers in their home. D. A private home becomes the property of the state during times of war.

Use synthetic division to find the result when 4x³ + 25x² - 24x - 30 is divided by x + 7. If there is a remainder, express the result in the form q(x) + r(x)/b(x).

A baseball is thrown vertically upward at a rate of 60 feet per second from an initial height of 3 feet. Use the projectile formula h = - 16t² + vot + ho to determine when the height of the ball will be 39 feet. [Recall that vo is the initial velocity of the object and he is the inital height of the object.]

Eliot is simplifying a radical. His work is shown √64-√4-16 √4-16-2√16 √64-2√16 Which statement best applies to Eliot's mathematical work? The equality √64= √4-16 is incorrect of invalid Removing the 4 from under the radical in the second step is incorrect or invalid The work shown above is correct, however, 2√16 may be simplified further The work shown above is correct, and 2√16 may not be simplified further

Manny has $4.90 in dimes and quarters. He has 7 more dimes than quarters. Write two equations that would be used to solve the system.

Write √-12 in simplest radical form.

Select the equivalent expression. x8/ x-3.x-6

A pet toy manufacturer is designing a plastic ball for dogs that will float in water. In order for the ball to float it must have a density that is less than 1 gram per milliliter (the density of water). The approved design has a mass (m) of 115 grams and a density (d) of 0.600 g/mL.

Write √-27 in simplest radical form.

Factor the expression completely. 63x² +18

A candle that is 11 inches tall burns 1/4 inch every hour. A 13-inch candle burns 2/3 inch every hour. After how many hours will the candles be the same height? Round to the nearest hour.

Write √-200 in simplest radical form.

Write the explicit equation for the table of values. Please enter the answer in f (x) = mx + b x f(x)

While visiting Crimson Lake, Sally decided to go kayaking. The rangers charge $8.50 per hour in addition to a $25.00 deposit to rent the kayak. If she rented the kayak from 11:30 a.m. until 2:30 p.m., write and solve a linear equation to find the total cost to rent the kayak.

For a project in his Geometry class, Magan uses a mirror on the ground to measure the height of his school building. He walks a distance of 7.95 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 1.8 meters to the other side of the mirror, until he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.15 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.

You work as a nurse. One of your patients has a fluid limit of 20 ounces per day. Each IV bag contains 3 ounces of fluid. How many IV bags can the patient have in a day before going over his fluid limit?

If you want to earn 2% annual simple interest on an investment, how much should you pay for a note that will be worth $19,500 in 10 months? (Round your answer to two decimal places.)

The ratio of white socks to black socks in Terry's drawer is 4/5. Which of the following combinations could NOT be the actual numbers of white and black socks in Terry's drawer? A 25 black socks; 20 white socks B 35 black socks; 28 white socks C 24 black socks; 30 white socks D 15 black socks; 12 white socks

Suppose that the functions r and s are defined for all real numbers x as follows. r(x) = x-4 s(x)=2x-6 Write the expressions for (r+s) (x) and (r-s) (x) and evaluate (r.s)(1).

Solve the quadratic by factoring. 5x² - 39x - 4 = 4

Given the polynomial function, f(x) = (x² + 2)(x + 5)(x-3)². Which statement must be true about this polynomial? A. It has 5 distinct roots that are all real numbers. B. It has 5 distinct roots that are real and complex numbers. C. It has 4 distinct roots that are all real numbers. D. It has 4 distinct roots that are real and complex numbers.

Fully simplify using only positive exponents. 4x²y/2x8y4