Math Questions

Select the correct answer from each drop-down menu. Marjory works at a commercial bakery. She is conducting an experiment to test the results of two yeast activators for making bread. The Rapid Prove activator claims to increase the rise of dough by at least 30%. The Quick Rise activator claims to increase the rise of dough by at least 26%. Marjory and her team bake 60 loaves of bread, 30 using the Rapid Prove activator and 30 using the Quick Rise activator. After the loaves were baked, Marjory evaluated the rise of the breads as compared to previous doughs with no activator used. She reported that, on average, the rise of those made with the Rapid Prove activator increased by 25% and the rise of loaves made with the Quick Rise activator increased by 28%. The Rapid Prove activator claim is The Quick Rise activator claim is The activator is more effective because the increase in rise was ✓that of the other activator.

Find the exact value of the logarithm without using a calculator. log 5 125

A researcher for a travel company is looking into the prices people are willing to pay for airplane tickets. The company has communicated that the overall population mean is $265 with a standard deviation of $40.93. The researcher has a sample of 130 ticket purchases from one location By the Central limit theorem, which interval can the researcher be 95% certain that the sample mean will fall within? A. $264.37 and $265.63 $254.23 and $275.77 $261.41 and $268.59 $257.82 and $272.18

Which statement about the graph of y = 8(0.25)x is true? F The coordinates of the x-intercept are (0.25, 0). G The coordinates of the y-intercept are (0, 8). H The equation of the asymptote is x = 0. J The graph includes the point (2, 1).

If 26200 dollars is invested at an interest rate of 10 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent. (a) Annual: $ (b) Semiannual: $ (c) Monthly: $ (d) Daily: $

What is the image point of (9, 0) after a translation left 2 units and up 5 units?

What is the solution to the following system? 3x+3y+6z=9 x+3y+2z=5 3x+12y+ 12z = 18 (3, 1, 0) (0, 1, 0) (2, 1, 0) (-2, 1, 0)

In order to fairly set flat rates for auto mechanics, a shop foreman needs to estimate the average time it takes to replace a fuel pump in a car. How large a sample must he select if he wants to be 99% confident that the true average time is within 15 minutes of the sample average? Assume the standard deviation of all times is 30 minutes. 27 5 26 6

A student took out a simple interest loan for $2200 for 2 years at an annual rate of 5.6%.. (a) What is the interest on the loan? $ (b) How much will the student have to repay at the end of 2 years? $

Susan is conducting a survey about the electric bills of households in her city. From the electric company, she found that the population mean is $98.75 with a standard deviation of $10.45. Susan has a sample size of 60. Complete the equation that Susan can use to find the interval in which she can be 68% sure that the sample mean will lie. 88.3 10.45 7.75 109.2 60 98.75

-X Answer the following questions about the function whose derivative is f'(x) = (x+3) e ¯X. a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? c. At what points, if any, does f assume local maximum and minimum values? a. Find the critical points, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical point(s) of f is/are x = (Simplify your answer. Use a comma to separate answers as needed.) B. The function f has no critical points.

Convert the complex number 1 - 8i into polar form. Express the angle using degrees over the interval 0° ≤ 0 < 360°. You may round the argument to the nearest tenth of a degree (if necessary), but you must express your modulus in it's exact form.

Find the open intervals on which the function h(x)= x³ + x² is increasing and decreasing. Identify the function's local and absolute extreme values, if any, saying where they occur. (a) On what open interval(s), if any, is the function increasing? Select the correct choice below and fill in any answer boxes within your choice. A. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The function is never increasing.

The parent function f(x) = x² is reflected across the x-axis, vertically stretched by a factor of 3, and translated right 7 units to create g. Use the description to write the quadratic function in vertex form. g(x) = 7(x+3)² g(x)=-3(x-7)² g(x) = -3(x+7)² g(x) = 3(x-7)²

Eric's bicycle tires have a 29-inch diameter and Maggie's bicycle tires have a 26-inch diameter. How much farther do Eric's tires travel compared to Maggie after 10 complete revolutions? Use = 3.14 Enter your answer correct to one decimal place.

A college believes that 26% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have parents who have remarried to within 3% with 99% confidence? 473 2129 2413 1419

Consider the following scenario: Joe woke up one morning and found he was bitten all over by some sort of mystery bug. The next night, he felt itchy, especially on his torso, near where he'd gotten the other bites. He did not feel the same sensation on his legs, and he knew it must be psychosomatic. He treated his bed for a variety of different bugs, and the bites stopped, but he associated his bed with feelings of itchiness for several weeks. Eventually the response went away, only to suddenly show back up six months later! l

Ronald and his friends are at an arcade and are redeeming their tickets for prizes. The number of prizes they can get is calculated based on how many tickets they have won. p= the number of prizes the friends can get t = the number of tickets the friends have won Which of the variables is independent and which is dependent? t is the independent variable and p is the dependent variable p is the independent variable and t is the dependent variable

Four starting youth basketball players are ages 8, 10, 9, and 11. Solve for the number of samples if a sample of two is randomly chosen. Show your work and explain the steps you used to solve.

The city transit authority surveyed 1,000 citizens who regularly use public transportation. Of those surveyed, 658 users said they paid using a monthly subscription as opposed to paying for each ride individually. The transit authority's report claims, "We can be 95% confident that the percentage of citizens using public transportation with a monthly subscription is between 63.33% and 68.27%. " Which statement best describes this claim? A. There is not enough information to evaluate the report's claim. B.The report's claim is false because the margin of error is 3.87%. C. The report's claim is true. D. The report's claim is false because the margin of error is 2.94%.

Which of the following is true? It is never good to have sampling bias. Statistics are not used to help understand the data collected. A random sample includes only specific people. The best results come from sampling bias.

Find the area of a regular octagon circumscribed about a circle with radius of 6 inches. Hint: Draw a diagram. Round the final answer to the nearest hundredth.

University of Tennessee Volunteers women's basketball team. She has injured her ankle, and it is doubtful that she will be able to play in an upcoming game/If Candace can play the coach estimates that the Volunteers will score 78 points. If she is unable to play, the coach estimates that the team will Score 62 points. The team doctor estimates there is a 50% chance Candace will play. Determine the number of points the team can expect to score.

Suppose y = sin²x + 2sinx. Find dy/dx. Answer:

The population of Suffolk County in Massachusetts decreased from 663,906 in 1990 to 641,695 in 1999. b. Use your equation to predict the population of Suffolk County in 2020.

You conduct a statistical test of hypotheses and find that your data are statistically significant at a = 0.05. In other words, your P-value is equal to or smaller than 0.05. Does it imply that your data are also statistically significant at α = = 0.01? a. Yes b. No c. Cannot be determined

Evaluate (if possible) the six trigonometric functions of the real number t. (If an answer is undefined, enter UNDEFINED.) t = 7π/4

Camila invested $9,100 in an account paying an interest rate of 4.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 14 years?

A friend lends you $175 for a week, which you agree to repay with 4.8% one-time interest. How much will you have to repay, including the amount you borrowed? Round your answer to two decimal places if necessary. $

Evaluate (if possible) the sine, cosine, and tangent at the real number t. (If an answer is undefined, enter UNDEFINED.) t=-11π/6

a. How many teams of six can be chosen out of 54 people? i. What type of problem? ii. Solve b. Out of 54 people how many ways are there to nominate a President and Vice President for the group i. What type of problem? ii.Solve

According to statistics, a person will devote 34 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 22. Over the lifetime, how many years will the person spend on each of these activities?

After a 70% reduction, you purchase a new clothes dryer on sale for $150. What was the original price of the clothes dryer? The original price was $

Compute the critical value Za/2 that corresponds to a 85% level of confidence. Click here to view the standard normal distribution table (page 1) Click here to view the standard normal distribution table (page 2). (Round to two decimal places as needed.)

Stephen opens a savings account with an initial deposit of $300. Every month, Stephen will deposit an additional $250 into the account from his paycheck. Which function below shows the total amount of his deposits for x number of months? y=12x+550 y=x(300+250) y = 250x + 300 y = 300x + 250

A support wire for a telephone pole makes an angle of elevation of 65° with the ground. If the bottom of the wire is 18 ft from the pole, how tall is the pole? (Round your answer to the nearest thousandth)

Which function represents a parabola that is translated 2 units to the left and 6 units down from the function f(x) = x²? A f(x) = 7(x + 2)²-6 B f(x) = 8(x - 2)²-6 C f(x) = 4(x-2)(x-6) D f(x)=3(x+2)(x-6)

Solve the equation using the quadratic formula. x² +10x+21=0

Which of the following is a possible description for the function below? y=2x+15 The function represents the tax on a pizza order if the tax is 2% of every $15 pizza, x, that is ordered. The function represents the total cost of a pizza if the sales tax, x, is 2 times the cost of a $15 pizza. The function represents the cost of each additional topping on a pizza if the pizza is $15 plus 2% sales tax, X. The function represents the total price of a pizza which is $15 plus $2 for each additional topping, X.

Two secondary fuel tanks are needed, one within each wing. The space available in each wing is 4' 7" by 3' 2", by 10". How many total gallons of fuel could be added to the aircraft? 90.48 gal. 180.95 gal. 68.5 gal.

A student has an average (arithmetic mean) score of 88 for the first 3 tests in a class. What is the lowest score the student can earn on the fourth test to have an average score of at least 90 for the 4 tests?

A grocery store manager notices that this month her store sold a total of 849 gallons of ice cream, which represents a decrease of 17% from last month. How much ice cream did the store sell last month?

The half-life of the radioactive element unobtanium-53 is 10 seconds. If 32 grams of unobtanium-53 are initially present, how many grams are present after 10 seconds? 20 seconds? 30 seconds? 40 seconds? 50 seconds? The amount left after 10 seconds is The amount left after 20 seconds is The amount left after 30 seconds is The amount left after 40 seconds is The amount left after 50 seconds is

The selling price of a refrigerator, is $601.65. If the markup is 5% of the dealer's cost, what is the dealer's cost of the refrigerator?

Suppose that W = span{V₁, V2, V3} where each v; is in R³. Consider the following statements. (i) If x is in W then x = C₁V₁1 + C2V2 + C3V3 for some scalars C1, C2, C3. (ii) 3v₁ - 2v2 is in W. (iii) W is a subspace of R³. Which of the above statements are always true? (a) (i) only (b) (ii) only (c) (ii) and (iii) only (d) (i) and (ii) only (e) (i), (ii), and (iii)

A manufacturer of face masks found out that the marginal revenue function is r(q) = 0.059q + 47.79 while the marginal cost function is c(q) = 0.0118q² - 1.18g + 59 where is the quantity of masks in thousands. Find the area between these two curves and the y-axis. Round your answer to 2 decimal(s).

I can find common factors and multiples. D Jerrie practices the piano every three days, and practices the trumpet every four days. Jerrie practices both the piano and the trumpet on May ST. When is the next day Jerrie will practice both Instruments at the same time?

Consider the function f(x)=2x² - 6x² 90x+6 on the interval -4,9] Find the average or mean slope of the function on this interval By the Mean Value Theorem, we know there exists at least one e in the open interval (-4,9) such that f'(e) is equal to this mean slope Find all values of e that work and list them (separated by commas) in the box below. If there are no values of c that work, enter None List of numbers

Imagine you are building a staircase with cubes. To build a staircase with one step, one cube is needed. To build a staircase with two steps, three cubes are needed. To build a staircase with three steps, six cubes are needed. Continue this pattern and determine how many cubes are needed to build a staircase with 50 steps, 250 steps, and x steps.

A wooden artifact from an ancient tomb contains 35 percent of the carbon-14 that is present in living trees. How long ago, to the nearest year, was the artifact made? (The half-life of carbon-14 is 5730 years.)