Basic Math Questions and Answers

In Jaden's yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all its vertices. Where should Jaden plant the geranium? A in the center of the inscribed circle of the triangle B. in the center of the circumscribed circle of the triangle C. at the point of intersection of the angle bisectors of the triangle D. at the point of intersection of an angle bisector and a perpendicular bisector of the triangle

Find the second derivative of the function. f(x) = CSC X

What is 7,000,000+ 900,000+20,000 + 7,000 + 400 + 40 + 2 in standard form?

In Lixue's garden, the green pepper plants grew 5 inches in month. At this rate, how many feet can they grow in one month? (Let 5 inches = 5/12 feet)

Lin spent 80 minutes doing homework on Monday. Each day from Tuesday through Friday, Lin spent half as much time doing homework as the day before. How much total time did Lin spend doing homework, from Monday through Friday? Explain how you know.

Bucky's hourly wage is $18 and his net pay is 78% of his earnings. Bucky spends about $2,000 on his monthly expenses. If Bucky works 40 hours per week and has no other sources of income, what is his total monthly cash inflow? (Hint 1: Assume that there are 4 pay periods per month) (Hint 2: Read the question carefully)

Bob Ross bought a Blackberry on the Web for $90.69. He saw the same Blackberry in the mall for $119.76. How much did Bob save by buying on the Web? (Round your answer to the nearest cent.)

Mark Ogara rented a truck from Avis Rent-A-Car for the weekend (2 days). The base rental price was $30.75 per day plus 16.5 cents per mile. Mark drove 418.85 miles. How much does Mark owe? (Round your answer to the nearest cent.)

Roger bought season tickets for weekend games to professional basketball games. The cost was $945.70. The season package included 46 home games. a. What is the average price of the tickets per game? b. Marcelo, Roger's friend, offered to buy four of the tickets from Roger. What is the total amount Roger should receive?

Write the equation of the line with slope 1/7 and y-intercept 6. The equation of the line is (Simplify your answer. Type an equation using x and y as the variables. Use integers or fractions for any numbers in the equation.)

You give up a full time salary of $58,000 a year to go to school for 2 years. The total cost of going to school is $32,000. If you want to be able to recover your investment in 4 years or less, what is the minimum salary you would need to earn upon earning your degree?

Write the equation of the line with slope 8 and y-intercept 1/9 The equation of the line is (Simplify your answer. Type an equation using x and y as the variables. Use integers or fractions for any numbers in the equation.)

Find the derivative of the exponential function. y = x²e^-5x

The following data show the lengths of boats in a marina. A) Provide the 5-Number-Summary of the Data in the textbox given below.

Find the average rate of change of g(x) = 2x³ - 3x² between x = 3 and x = 5. The average rate of change of g(x) between x = 3 and x = 5 is

A scientist needs to make 5.4 liters of saline solution (salt water), in which the salt level must be at 28% concentration (meaning 28% of the water is salt). Unfortunately, the scientist only has two types of saline solution in his possession. He has saline solution with a 12% concentration level and saline solution with a 30% concentration level. How much of each type of saline solution should the scientist mix together to achieve 5.4 liters of saline solution at a concentration level of 28%? Let x represent the amount 12% saline solution and let y represent the amount of 30% saline solution. Determine how many liters of each should be mixed to get the desired solution. *Enter a numerical value only. The amount of 12% saline solution needed is liters and the amount of 30% saline solution needed is

Which question is a statistical question? How many students are in Mrs. Johnson's math class? How old is a typical student in the school? How many students are on the basketball team? How old are you?

The flag of Colombia is a rectangle that is 6 ft long with three horizontal strips. The top stripe is 2 ft tall and is yellow. The middle stripe is 1 ft tall and is blue. The bottom stripe is also 1 ft tall and is red. a. Create a scale drawing of the Colombian flag with a scale of 1 cm to 2 ft. b. Create a scale drawing of the Colombian flag with a scale of 2 cm to 1 ft.

Fred and Winnie O'Callahan have put themselves on a very strict budget. Their goal at the end of the year is to buy a car for $14,100 in cash. Their budget includes the following per dollar: Fred earns $2,190 per month and Winnie earns $2,770 per month. After 1 year will Fred and Winnie have enough cash to buy the car?

Gracie went to Home Depot to buy wall-to-wall carpeting for her house. She needs 104.86 square yards for downstairs, 17.43 square yards for halls, and 168.71 square yards for the upstairs bedrooms. Gracie chose a shag carpet that costs $13.98 per square yard. She ordered foam padding at $2.78 per square yard. The installers quoted Gracie a labor cost of $5.78 per square yard in installation. What will the total job cost Gracie? (Do not round intermediate calculation. Round your answer to 2 decimal places.)

Mary's cholesterol level is in the 90th Percentile. A. Mary's cholesterol level is 90. B. 90% of the women in the US have a cholesterol level higher than or equal to Mary's cholesterol level. C. 90% of the women in the US have a cholesterol level lower than or equal to Mary's cholesterol level. D. 90% of US adults have the same cholesterol level as Mary.

Jennifer's school is selling tickets to a chorus concert. On the first day of ticket sales, the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. On the second day of ticket sales, the school sold another senior citizen tickets and 2 child tickets for $52. Find the cost of each type of ticket. Let z represent the cost of a senior citizen ticket and let y represent the cost of a child's ticket. Using the two equations you chose from part 1, determine the solution to the system. "Enter a numerical value only. The cost of a senior ticket is

Gavin Franks purchases a digital camera for $599.99, a tripod for $59.97, a camera accessory kit for $89.99, a printer for $84.99, 4 photo printer cartridges at $44.99 each, 2 black ink cartridges at $19.99 each, 4 packs of premium grade photo paper at 2 for $39.99, and 4 photo writing pens at 2 for $2.39. The sales tax rate is 6.4%.

Which polynomials are in standard form? Choose all answers that apply: A. 10-n B. 5n+ 3n³ - 1 C. n+4n² - 7n³ D. None of the above

Find seven ordered pairs to the equation y=7-x². Then determine its graph.

Mr. McClary writes the equation 3(3x - 10) = 5(x + 10). The equation shows the relationship between the perimeter of an equilateral triangle and the perimeter of a regular pentagon. What is the perimeter of the pentagon?

The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial velocity of 80 feet per second is f (t) = -16t² + 80t + 6. (a) Verify that f(2)= f(3). f(2)= 102 f(3) = 102 (b) According to Rolle's Theorem, what must be the velocity at some time in the interval (2, 3)?

Find dy/dx by implicit differentiation. x² - 5 In y + y2 = 19

Find the quartiles of the data given below. Enter your answers in the spaces provided on Questions 1, 2 and 3. Remember to order the data.

College freshmen involved in a dating relationship agreed to participate in a nine-month-long study. Every two weeks, participants answered a detailed questionnaire about their relationship and their emotional well-being. Over the course of the study, 26 of the participants experienced a breakup. The average distress of these 26 participants at the time of breakup (0 weeks) and over the following 10 weeks was assessed from their questionnaire answers. The table contains the findings in a scientific publication.

Solve the equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation has a single solution. The solution set is {10}. B. The solution set is {x | x is a real number). C. The solution set is Ø. What type of equation is this? A. a conditional equation B. an inconsistent equation C. an identity

A map of a park has a scale of 1 inch to 1,000 feet. Another map of the same park has a scale of 1 inch to 500 feet. Which map is larger? Explain or show your reasoning.

Keisha's suitcase weighs 51.4 pounds. Which statement is not true? A. The suitcase weighs more than 51 pounds, but less than 52 pounds. B. The 4 represents more weight than the 1. C. All of these statements are true. D. The 51 represents whole pounds. The 4 represents part of a pound.

Paul Rey bought two new Dunlop tires at Goodyear for $96.19 per tire. Goodyear charged $3.15 per tire for mounting, $3.05 per tire for valve stems, and $3.90 per tire for balancing. If Paul paid no sales tax, what was his total cost for the two tires? (Round your answer to 2 decimal places.)

Solve the following equation: 2/3 e^x - 2 = 4

Consider the following function. f(x) = x^1/9 + 7 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.)

A scientist recorded the movement of a pendulum for 14 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left (negative displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its resting position. The pendulum's furthest distance to either side was 9 in. Graph the function that represents the pendulum's displacement as a function of time. (a) Write an equation to represent the displacement of the pendulum as a function of time. (b) Graph the function. In order to receive full credit, you must graph at key points and connect them with a smooth curve (I should be able to see what type of graph it is). You cannot copy and paste from a graphing calculator like DESMOS.

The next line in the sequence is 4+8+12+16+20+ 24 = 24x7 / 2 (Do not simplify. Use integers or fractions for any numbers in the expression.) Is the conjecture correct? Select the correct answer below and fill in the answer box(es) to complete your choice.. A. Yes, because both the left side and the right side are equal to B. No, because the left side equals, and the right side equals

Which is true about multiplying integers? The product of integer multiplication is always negative. If there is an odd number of negative signs, then the product is positive. If there is an even number of negative signs, then the product is positive. The product of integer multiplication is always positive.

Determine between which consecutive integers the real zeros of f(x) = 3x³-5x² + 5x+7 are located on the interval [- 10, 10]. If the zero occurs at an integer, write the integer. -1<x<0; 0<x< 1; 1 < x < 2,2 < x < 3; -1<x<0. 1<x<2; -8<x<-7

Suppose the half- life of a certain radioactive substance is 12 days and there are 18 grams present initially. Find the time when there will be 20% of the initial substance remaining.

You decide to invest a total of $1500 in a money market account at an annual interest rate of 3.4%. A. Find the balance in the account after 8 years if it is compounded quarterly. B. Find the balance in the account after 8 years if it is compounded monthly. I C. Find the balance in the account after 8 years if it is compounded continuously.

A disinfectant spray bottle says it eliminates 90% of bacteria with each application. You apply the disinfectant once to a countertop in the shipping department and then apply the disinfectant again to the same countertop. If the bottle is correct, what percentage of the bacteria originally on the tabletop have been eliminated?

Here is a scale drawing of a swimming pool where 1 cm represents 1 m. a. How long and how wide is the actual swimming pool? b. Will a scale drawing where 1 cm represents 2 m be larger or smaller than this drawing? Make a scale drawing of the swimming pool where 1 cm represents 2 m.

Of the people who fished at Clearwater Park today, 54 had a fishing license, and 36 did not. Of the people who fished at Mountain View Park today, 90 had a license, and 10 did not. (No one fished at both parks.) Suppose that one fisher from each park is chosen at random. What is the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license? Do not round your answer. (If necessary, consult a list of formulas.)

Jack was 17 years older than Priscilla. Together their ages totaled 159 years. What was Jack's age? Use all five problem-solving steps.

which inequality has the same solution as x + 2 ≥(9-6x) + 5x? Circle the letter of the correct answer.

The scale on a map of Virginia shows that 1 inch represents 25 miles. The actual distance from Richmond, VA, to Washington, D.C., is 110 miles. On the map, how many inches are between the two cities? Enter your answer as a mixed number with the fraction in simplest form.

After four years in college, Josie owes $6000 in student loans. The interest rate on the federal loans is 3% and the rate on the private bank loans is 3.6%. The total interest she owes for one year was $204.00. What is the amount of each loan? Federal loan at 3% account = $ Private bank loan at 3.6% account = $

A Chevy Volt costs $26,400 in the United States. What would it cost in Canada? Check your answer. (Round your answer to the nearest cent.) (Use the exchange rate table.)