Basic Math Questions and Answers

If a = 2 + i and b = -4, then find the value of ab² in fully simplified form.

2, Benjamin purchased 6 pounds of meat at a discounted price. He decided to store the meat in a freezer to lengthen the amount of time the meat would last. Before storing the meat, he divided it into bags measuring 1/3 pound each. How many bags did he use for all the meat?

360 deer in a forest are tested for a disease. 16 of them test positive for the disease. The empirical probability that a randomly chosen deer will test positive is The empirical probability that a randomly chosen deer will test negative is (Note: Enter each answer as a fraction or as a decimal rounded to the nearest thousandth.)

Write an equation in general form for the quadratic function shown in the graph below: Select the correct answer below: O f(x) = x² + 2x - 3 Of(x) = x² - 4x+1 Of(x)=x²-3x+4 y 5+ 4 B+ a+ 1 -5 -4 -3 -2 -1 0 -1- -2- -3+ 4 -5+ +X 1 2 3 4 5

3. Nivyana and Ana are selling their apparel to earn money for a cruise. Knitted scarves are $50 each, and mittens are $25 per pair. They cannot make more than 30 scarves and mittens combined. They need to earn at least $1,000 to pay for the cruise and souvenirs. Part A: Write the inequalities that would represent the situation. Part B: Graph the system of linear inequalities and shade where the solutions are.

Which expression is equivalent to s +5+2s? 3s +5 08s O-28 Os+7 Submit Answer

Find the numerical value, if x = 3 and y = 1. 3x + 5y - 1 2y+3 3x + 5y - 1 2y +3 TO

The functions f(x) and g(x) are defined below. Which expression is equal to f(x) + g(x)? OA. 4x + 72 OB. 8x + 144 OC. 2x + 36 OD. +9 - 10r² + 90r 1,620 51 45 41 3 for x = 0 for x 0

Half the supplement of an angle is 15° less than twice the complement of the angle. Find the measure of the angle. The measure of the angle is

Graph the equation y =4x/3 To plot points, click on a point on the graph and drag it to the desired location. Provide your answer below:

A bank loaned out $19,500, part of it at the rate of 3% annual interest, and the rest at 2% annual interest. The total interest earned for both loans was $535.00. How much was loaned at each rate?

James has a mortgage of $96,500 at 4% for 20 years. The property taxes are $3,900 per year, and the hazard insurance premium is $764.50 per year. Find the monthly PITI payment (in $). (Round your answer to the nearest cent. Use this table as needed.) $

Select the correct answer. Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than 4 the number of questions Chris got right. Damien correctly answered 2 less than 4 the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true? . A Brian and Damien both answered 2 fewer questions correctly than Chris did. Brian and Damien both answered 4 more questions correctly than Chris did. Brian and Damien both answered 2 more questions correctly than Chris did. Brian and Damien both answered 4 fewer questions correctly than Chris did

Vocabulary Terms retrospective study observational study experimental units experiment treatment Definitions a. a study in which a treatment is applied and responses are observed b. a study in which data from the past is examined c. experimental conditions imposed on the subjects d. a study in which data is collected without anything being done to the subjects e. The people, animals or things on whom experiments are performed

Give the slope and the y-intercept of the line y = 10x + 9. Make sure the y-intercept is written as a coordinate. This means the y-intercept must be in the form (0, b). Slope = y-intercept =

We spent the day driving around to see some of our favorite places in the countryside. In this sentence, the word "countryside" is what part of speech? a.) Verb b.) Pronoun c.) Noun d.) Adjective

You pick 4 digits (0-9) at random without replacement, and write them in the order picked. What is the probability that you have written the first 4 digits of your phone number? Assume there are no repeats of digits in your phone number. Give your answer as a fraction.

The Saskatchewan Roughriders started a rainy day savings fund 5 years ago to help pay for stadium improvements. At the beginning of every quarter the team has deposited $23,000.00 into the fund, which has been earning 4.65% compounded semi-annually. How much money is in the fund today? There is in the fund today.

The standard deviation of the lengths of hospital stay on the intervention ward is 6.4 days. Complete parts (a) through (c) below. a. For the variable "length of hospital stay," determine the sampling distribution of the sample mean for samples of 61 patients. = The standard deviation of the sample mean is o- = days. *****

The width of a rectangle is 3 units less than the length. The area of the rectangle is 4 units. What is the length, in units, of the rectangle?

Use the LCD to rewrite 1/2 and 3/10 with the same denominator.

In a survey of 510 Latin music downloads in a certain year, 290 were regional Mexican/Tejano), 130 were pop-rock, 80 were tropical (salsa/merengue/cumbia/bachata), and 10 were urban (reggaeton). Calculate the following relative frequencies. (Round your answers to two decimal places.) (a) a music download was regional (b) a music download was either tropical or urban (c) a music download was not urban HINT [See Example 1.]

Hector must wear a blazer, dress shirt, and tie to school each day. In his closet, Hector has 10 more ties than blazers and 4 fewer dress shirts than ties. There are 980 possible combinations of blazer, dress shirt, and tie that Hector can wear. Which equation can be used to find the number of blazers, x, Hector has in his closet? OA. 3+16x² + 60x=980 OB. 3+14x² + 40x= 980 OC. 3+2x²2²-24x = 980 x3 +6x²-40x = 980 OD.

Jazelle Momba wants to visit her family in Zimbabwe in 2025, which is 6 years from now. She knows that it will cost approximately $8,300 including flight costs, on-the-ground costs, and extra spending money to stay for 4 months. If she opens an account that compounds interest at 6% semiannually, how much does she need to deposit today to cover the total cost of her visit? (Use Table 12.3.) (Round your answer to the nearest dollar.)

P is a polynomial defined by P(x) = 4x³ - 11x² - 6x +9. Two factors are (x - 3) and (x + 1). Rewrite the expression for P as the product of linear factors. : P(x) = (x-3) (x + 1) (

Malik deposited $1,050 in a savings account, and it earned $241.50 in simple interest after four years. Find the interest rate on Malik savings account.

Combining like terms with negative coefficients Combine the like terms to create an equivalent expression: 8t+1+(-4t) + (-6) Stuck? Review related articles/videos or use a hint Report a problem

A car salesperson's monthly income depends on the amount of her sales. Her monthly income is a salary of $1950 plus 9 % of her monthly sales. Write a linear equation for her monthly income for sales of x dollars. (I = mx + b).

One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls in 1 month would the cost be the same? What is the cost?

Solve for the roots in simplest form using the quadratic formula: 3x² + 144 = 42x

Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Lou's car had 6.5 gallons in the 14-gallon tank on the coldest day of the year. Lou filled the tank with gas that cost $3.50 per gallon. How much did Lou spend on gas? He spent $ on gas.

Adysen built a porch that contained 2 different colors of bricks to create a neat pattern. She purchased red bricks at $2 each and the grey bricks for $3 each. Write a system of equations that could be used to find the number of each type of brick Adysen purchased if she spent $160 on 60 bricks.

A city has a population of 340,000 people. Suppose that each year the population grows by 6%. What will the population be after 8 years? Use the calculator provided and round your answer to the nearest whole number. people

Combine the like terms to create an equivalent expression: 5k + (-2k) - (-1) 3k-1 + . NIS

Sylvia correctly solved a rational equation and found the valid solutions were x = 2 and x = -5. Which of the following could be the equation? OA. ¹ OB. 1 2 OC. 5+9 OD. 2₁ I = - - C-E 3 2 *+ *

Lee Holmes deposited $16,900 in a new savings account at 8% interest compounded semiannually. At the beginning of year 4, Lee deposits an additional $41,900 at 8% interest compounded semiannually. At the end of 6 years, what is the balance in Lee's account? (Use the Table provided.) (Do not round intermediate calculations. Round your answer to the nearest cent.)

Lamar buys a cylindrical can of silly string and wants to know approximately how much silly string he has. Find the volume of the can if the radius is 5.0 in and the height is 8 in. . Round answers to the nearest hundredth, if necessary. O 251.32 in ³ O 429.81 in ³ O 628.32 in ³ O 806.74 in ³

William just got hired for a new job and will make $78, 000 in his first year. William was told that he can expect to get raises of $3,000 every year going forward. How much money in salary would William make in his 29th year. working at this job?

Solve the quadratic by factoring. 2z²+4= -5z+1

Solve the quadratic by factoring. x²-12x+21= -6

The sides of a rhombus have length 12 ft. The longer diagonal has length 18 ft. Find the area of the rhombus. . Write your answer as a number only. . Round answer to the nearest tenth (one decimal place) if needed.

When 24 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

McDonald's major distribution partner, The Martin-Brower Company, needs at least $1 million to build a new warehouse in Medicine Hat 2 years from today. To date, it has invested $480,000.00. If it continues to invest $45,000.00 at the end of every quarter into a fund earning 6% quarterly, will it have enough money to build the warehouse 2 years from now? How much money will it have? The Martin-Brower Company's $480,000.00 will have grown to have enough money 2 years from now. and its $45,000.00 deposits will have grown to Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 2 times. You have 3 attempts left before new version will be requested. Your overall recorded score is 25%. You have unlimited attempts remaining. Show Past Answers for a total of Thus, it ?

Graph the function f(x) = log₁ (x). You can only graph integer points, for example you cannot plot the point -1, -1, 1). There is one point that can be moved above and below the axis as needed. Do not move either point off of the graph as you will not be able to click on the point again.

There are 1,236 volleyball players at a tournament. The players are divided equally into groups of 15. How many players will not be in a group? 4 players 6 players 8 players 10 players

A manufacturer of lie detectors is testing its newest design. It asks 500 subjects to lie deliberately and another 700 to tell the truth. Of those who lied, the lie detector caught 300. Of those who told the truth, the lie detector accused 300 of lying. E is the event that the machine wrongly lets a liar go. Find the following values. fr(E) = N = What is the relative frequency of the machine wrongly letting a liar go? (Round your answer to two decimal places.) If E is now the event that the machine falsely accuses someone who is telling the truth, find the following values. fr(E) = N = MY NOTES What is the relative frequency of the machine falsely accusing someone who is telling the truth? (Round your answer to two decimal places.) ASK YOUR TEACHER PRACTICE ANOTHER

Consider the following. (Assume that the coins are distinguishable and that what is observed are the faces or numbers that face up.) Three coins are tossed; the result is at most one tail. Which of the following sets of elements are included in the sample space? (Select all that apply.) O HHT O HTH OTTH THT O TTT 0 HHH D THH HTT List the elements of the given event. (Select all that apply.) O HTH O THT TTT HHH O HTT HHT OTHH OTTH Dead It Watch It

Rhombus LMNO is shown with its diagonals. Angle MNO measures 119°. What is the measure of angle LMN? M P N

The diameter of circle C is 7 cm. 2 BCA (the non shaded region) has a measure of 1.36 radians. Find the length of arc BDA. Show your setup and your work for full credit. Round your answer to two decimal places.

Identify the dividend, divisor, and quotient. a. 900 ÷ 3 = 300 dividend: 120 600 ÷ 5 - dividend: divisor:...... 3........ quotient: .... divisor: quotient: