Basic Math Questions and Answers

Factor the following expression for the maximum power in a certain electrical circuit. (R + r)² − 3r(R + r)

The midpoint of AB is M(-2, 2). If the coordinates of A are (-8, -1), what are the coordinates of B?

x = 8, 1, 3, 3, 5 Find X to the nearest thousandth (3 decimal places).

Keshad gets paid $2,188 per month plus 7% of his sales. His brother earns $3,071 per month. For what amount of total sales will Keshad's monthly pay be higher than his brother's monthly pay? (Your answer should be accurate to 2 decimal places.)

In 2014, a high school stage collapsed in Fullerton, California, when 250 students got on stage for the finale of a musical production. Two dozen students were injured. The stage could support a maximum of 12,150 pounds. If the average weight of a student is assumed to be 150 pounds, what is the maximum number of students who could safely be on the stage?

Consider the function f(x) = -x² - 3x + 2. Step 1 of 2: Interpret the meaning of f(1) = -2.

Kimi Skuban deposits $2,000 at the beginning of each year into an Individual Retirement Account at Boise Bank. The account pays 7% compounded annually. How much will be in the account in 25 years?

Revenue R from the sale of x units of a product is found by multiplying the price by the number of items sold. (a) Factor the right side of R = 700x - x². (b) What is the expression for the price of the item?

Solve the following equation for n. P/2+A=2m-3n n= (Use integers or fractions for any numbers in the expression. Do not factor. Simplify your answer.)

Randi went to Lowe's to buy wall-to-wall carpeting. She needs 110.62 square yards for downstairs, 31.62 square yards for the halls, and 16172 square yards for the bedrooms upstairs. Randi chose a shag carpet that costs $14.81 per square yard. She ordered foam padding at $3.21 per square yard. The carpet installers quoted Randi a labor charge of $3.86 per square yard. What will the total job cost Randi? (Round your answer to the nearest cent.)

Solve the following formula for t. C = U(1+rt)

Sales records indicate that if Blu-ray players are priced at $250, then a large store sells an average of 14 units per day. If they are priced at $150, then the store sells an average of 28 units per day. Find and graph the linear demand function for Blu-ray sales. For what prices is the demand function defined? The linear demand function for Blu-ray sales is d= (Type an expression using p as the variable. Use integers or simplified fractions for any numbers in the equation.)

Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so it's employees' salaries keep up with inflation. At the end of the 1st year Mark will have made $65,000 dollars, What is the explicit function that represents Mark's salary? a. m(t) = .02* + 65000 c. m(t) = 1.02* + 66300 b. m(t) = 65000 (1.02)*-¹ d. m(t) = 0.98* * 65000

How many years will it take for an initial investment of $60,000 to grow to $90,000? Assume a rate of interest of 18% compounded continuously It will take about years for the investment to grow to $90,000.

A manufacturer has determined that the total cost C of operating a factory is C = 2x² + 60x + 200, where x is the number of units produced. At what level of production will the average cost per unit be minimized? (The average cost per unit is C/x.)

Geckos are lizards with specialized toe pads that enable them to easily climb all sorts of surfaces. A research team examined the adhesive properties of 7 Tokay geckos. Displayed are the toe-pad areas (in square centimeters, cm²) for this sample. What is the value of the interquartile range for these data?

A building worth $832,000 is depreciated for tax purposes by its owner using the straight-line depreciation method. The value of the building, y, after x months of use, is given by y=832,000-2300x dollars. After how many years will the value of the building be $638,800? The value of the building will be $638,800 after years. (Simplify your answer. Type an integer or a decimal.)

Edfinity really tries to help you out, and show you the fractions you are entering. If you want 2/(3*4) = 2/12, Edfinity's fraction helper will put in the fraction line when you type the slash, so you just make sure you have both 3 and 4 under that line. But when you see 2/3*4 written out, multiplication and division have the same order of precedence, so 2/3*4 means 3-4 or The same thing happens with addition and subtraction. 1-3+2 = 0 but 1-(3+2) = -4. In the box below, enter the number that is 2/3*4

Here are some more examples: (1+3)9 =36, (2*3)^2 = 6^2 = 36, 3^(2*2) = 3^4 = 81, (2+3)^2 = 5^2= 25, 3^(2+2) = 3^4 = 81 Scientific notation should be entered as a 10% - you would type this in as x*10^y and your computer does the formatting automatically. Try entering some of these forms to see how you can let Edfinity be your calculator. The "correct" result for this answer blank is 36, but Edfinity will recognize any calculation which equals 36 as correct.

You can enter this as sqrt(7), or as 7^(1/2). This is because Edfinity understands functions like sqrt (square root) and also knows that roots can be taken using exponents. Note, exponents can be entered with a ^ (caret), which is above the 6 on your keyboard. You could also compute on your calculator and enter the value you get. When entering decimal approximations like this, be sure to give at least five significant digits (significant digits start with the first non-zero digit). So, 2.64 will be marked wrong but 2.6457 will be marked right.

Ozzie Foster deposits $2,000 at the end of each year (ordinary annuity) into an Individual Retirement Account at Bishop Bank. The account pays 7% compounded annually. a) How much will be in the account in 25 years? b) If Ozzie had deposited the $2,000 at the beginning of each year (annuity due), how much would be in the account in 25 years?

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. (9,-5); horizontal A. x = 5 B. y = -5 C. y=-9 D. x=9

Write the slope-intercept form of the equation for the line passing through the given pair of points. y-intercept-4 and x-intercept 8 A. y = -x-4 B. y=-2x+8 C. y=x-4 D. y=2x+8

To get a B in math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests were 81, 77, 83, and 76. What is the lowest score that she can get on the last test and still get a B? The lowest possible score for getting a B is

University Bank pays 5% interest compounded quarterly on regular savings accounts and Rosemont Savings Bank pays 5.5% compounded semiannually. Vasily and Oxana Cherchenko had $4,000 to invest for 4 years. Based on the interest to be earned, which bank offers the better investment?

Use the rules of differentiation to find the derivative of the function. f(t) = -7t² + 5t - 2 f'(t) =

Many Edfinity problems ask questions where the answer is a number. For example, You can enter the number and submit your answer. In almost all problems where the answer is a number, you will be able to get Edfinity to do calculations for you. For example, you can either -4 * 9 or -36 or even -29- 7. All will work. Try them. (Note, on your keyboard, the asterisk above the 8 is what most computers use for multiplication.)

Solve 2|3x-9|-3 = 13 Enter your answer as a reduced fraction (like 5/3, not 10/6) or as an integer (like 4 or -2). Do not enter mixed numbers. Enter DNE for Does Not Exist, oo for Infinity Enter the smaller solution for 1 and the larger solution for x2

To find f(a+h)-f(a) h then utilize the results to write the desired quotient. -given f(x)= 9x2 - 11x + 2, it is easiest to first find both f(a+h) and f(a). We can We begin by calculating f(a+h). For that, we substitute a + h for x, expand the parentheses, combine like terms, and simplify. 9x² - 11x + 2 f(a+h) = 9(a+h)² - 11(a+h) + 2 =9a² + X +9h²-11a - 11h+2

Find the derivative of the function. g(t) = t² - 9/ t³

This problem will review the rules of precedence, i.e. the order in which mathematical operations are performed. You can use parentheses (and also square brackets [] and/or curly braces {}) if you want to change the normal way operations work. The rules are simple. Exponentiation is always done before multiplication and division, and multiplication and division are always done before addition and subtraction. For example, what is 1+2.3?

Kendra is trying to decide whether to go to Abby's house to watch a movie or to go to Samuel's house to play board games. They live about the same distance away, and there is no cost for either event. If she chooses to go to Abby's house, what is the opportunity cost? (1 point) There is no opportunity cost because there is not cost associated with either option. Economics do not apply to this kind of decision. The difference in value to Kendra of the two options. The net value to Kendra of going to Samuel's house to play games. The net value to Kendra of going to Abby's house to watch a movie.

Yolanda the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 5 clients who did Plan A and 3 who did Plan B. On Tuesday there were 2 clients who did Plan A and 12 who did Plan B. Yolanda trained her Monday clients for a total of 12 hours and her Tuesday clients for a total of 21 hours. How long does each of the workout plans last?

When entering numbers, leave off units (or dollar signs for money) unless the problem directs you to do otherwise. For example, if we want to know how much money you will have if you collect $100 from 200 people, the answer is $20,000. When entering this value, you should just give 20000 (or 100*200, or anything else which evaluates to 20000).

Solve |2x - 1| - 3 = 14 Enter your answer as a reduced fraction (like 5/3, not 10/6) or as an integer (like 4 or -2). Do not enter mixed numbers. Enter DNE for Does Not Exist, oo for Infinity Enter the smaller solution for an and the larger solution for x₂

The profit from the production and sale of specialty golf hats is given by the function P(x)=20x-4000 where x is the number of hats produced and sold. (a) Producing and selling how many hats will give a profit of $8000? (b) How many hats must be produced and sold to avoid a loss? (a) Producing and selling hats will give a profit of $8000.

It costs $44 per hour plus a flat fee of $29 for a plumber to make a house call. What is an equation of the form y = mx + b for this situation? A. y = 29x B. y = 44x C. y=29x +44 D. y=44x +29

Graph y=2x-4 by plotting points. Based on the graph, determine the intercept(s).

A zoologist researched the feeding habits of lemurs. She collected data by studying the lemurs in a zoo exhibit for a one-month period and drew conclusions based on her data. What kind of statistical study did the zoologist conduct? A. observational study B. survey C. experiment D. theoretical study

Solve for y and graph the equation with a standard window on a graphing utility. x² + 2y = 8

What is the slope for the line that goes through the points (2,13) and (6,3)? Answer may need to be reduced. -4/6 -5/2 -4/10 -10/4 -2/5

Find the midpoint of the line segment joining the points P₁ and P₂ P₁ = (-3, 2); P₂ = (6, 0) The midpoint of the line segment joining the points P₁ and P₂ is [ (Simplify your answer. Type an ordered pair.)

The average monthly bill for wireless telephone subscribers from 1985 to 2008 can be modeled by B(x) = -1.275x+98.208, where x is the number of years after 1980. If this model remains valid, in what year will the average monthly bill be $48.48? The average monthly wireless phone bill would be $48.48 in the year

Find the domain of the following function. Give your answer in interval notation. f(x)=1/√8x - 16

When solving an absolute value equation, such as [2x+3|= 17, it is important to create two equations. 2x+3= Resulting in a = and 2x +3=

A building is 1 ft from a 7-ft fence that surrounds the property. A worker wants to wash a window in the building 10 ft from the ground. He plans to place a ladder over the fence so it rests against the building. (See the figure.) He decides he should place the ladder 7 ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need?

Penelope is playing a number game with her sister June. Penelope is thinking of a number and wants June to guess it. Five more than three times her number is between 11 and 29. Write a compound inequality that shows the range of numbers that Penelope might be thinking of.

5. Note: This is a knowledge of number theory question. Do not use a calculator for this question. (10 points) Circle the correct response to identify whether the following numbers are factors of 62,296,715,880 (2³ x 3² x 5 x 7 x 472 x 31 x 192) and explain why they are or are not factors using the given prime factorization. 15 IS/IS NOT a factor because: 16 IS/IS NOT a factor because: 75 IS/IS NOT a factor because: 94 IS/IS NOT a factor because: n = 19 x 31² IS/IS NOT a factor because:

The area of a rectangle is 45 nº, and the length of the rectangle is 1 it more than double the width. Find the dimensions of the rectangle.

A store is having a sale on chocolate chips and walnuts. For 2 pounds of chocolate chips and 5 pounds of walnuts, the total cost is $18. For 8 pounds of chocolate chips and 3 pounds of walnuts, the total cost is $21. Find the cost for each pound of chocolate chips and each pound of walnuts. Cost for each pound of chocolate chips: Cost for each pound of walnuts: