Basic Math Questions and Answers

A possible problem with open-ended or unequal intervals is that they a. do not permit the computation of midpoints b. are useful only for nominal-level variables c. can be used only with variables that have few scores d. cannot be used for interval-ratio level variables

Tricia, who is paid time-and-a-half for hours worked in excess of 40 hours, had gross weekly wages of $338 for 48 hours worked. What is her regular hourly rate?

Write an equation of the line that passes through (-5,1) and is parallel to the line defined by 2x+y=2. Write the answer in slope-intercept form (if possible) and in standard form (Ax+By=C) with smallest integer coefficients. Use the "Cannot be written" button, if applicable.

Use the point-slope formula to write an equation of the line that passes through (-2,-5) and (5, 3). Write the answer in slope-intercept form (if possible).

Given the graph of y=x², how do you obtain the graph y = 5(x+3)² +6? Choose the correct answer below. A. Shift the graph to the right 3 units, then stretch the graph horizontally by a factor of 5. Then shift the graph up 6 units. B. Shift the graph to the right 3 units, then compress the graph vertically by a factor of 5. Then shift the graph down 6 units. C. Shift the graph to the left 3 units, then stretch the graph vertically by a factor of 5. Then shift the graph up 6 units. D. Shift the graph to the left 5 units, then compress the graph horizontally by a factor of 3. Then shift the graph up 6 units.

Elisa Carsten noticed this advertisement: "This week only: $187.50 on all mattress sets! All sets marked down 25%." What is the regular selling price of a mattress set?

Write the equation in its equivalent logarithmic form. 9^4 = 6561 What is the equivalent logarithmic form of the equation?

Find all excluded values for the expression. That is, find all values of u for which the expression is undefined. u-7/ u²+u-56 If there is more than one value, separate them with commas.

Write an equation of the line that passes through (3,2) and is perpendicular to the line defined by x-3y=3. Write the answer in slope-intercept form (if possible) and in standard form (Ax+By=C) with smallest integer coefficients. Use the "Cannot be written" button, if applicable.

Steven wants to buy a $565 bicycle. Steven has no money saved, but will be able to deposit $30 into a saving account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give is sister $65 that he owes her. Write an equation that describes this situation. For how many weeks will Steven need to deposit money into his saving account before he can pay back his sister and buy the bike?

According to the Consumer Expenditure Survey, the average American household spent $6,372 on food in 2009. About two-fifths of that amount was spent on eating out at restaurants Calculate two-fifths of $6,372 to estimate the amount that was spent on eating out. Round to the nearest dollar. Answer: $

During a 4-month period, Jennifer made deposits of $412, $763, $1264, and $556. She wrote checks totaling $1128. If her beginning balance was $910, what was the balance in her account at the end of the 4-month period?

The United Nations claims India will overtake China as the world's most populous country within seven years. If China has 2.126 billion people and India has 1.805 billion people, what is the difference in population?

The number of visits to public libraries increased from 1.2 billion in 1996 to 1.6 billion in 2000. Find the average rate of change in the number of public library visits from 1996 to 2000. The average rate of change between 1996 and 2000 was

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a total weight of 53 kilograms. A delivery of 8 large boxes and 4 small boxes has a total weight of 133 kilograms. How much does each type of box weigh?

You are painting a room that is 14 feet long, 12 feet wide, and 8 feet high. On the walls of the room, there are two windows that are each 2 feet wide and 4 feet tall, and a door that is 4 feet wide and 7 feet tall. A gallon of paint covers 350 square feet. How many gallons of paint do you need to cover the 4 walls with one coat of paint, not including the windows and the door? (Round your answer up to the nearest whole number.)

2(x-3)=9-5(2x + 1) Select the correct choice below and, if necessary, fill in the answer box. A. The solution is B. The solution set is (-∞,∞). C. There is no solution.

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?