Basic Math Questions and Answers

Suppose a long rectangular sheet of metal, 12 inches wide and 10 feet long, is to be made into a rain gutter by turning up two sides so they are perpendicular to the sheet. How many inches should each side be turned up to give the gutter its greatest capacity?

Which of the following choices is NOT a healthy way to deal with stress? A. drinking with friends or alone B. meditating C. exericising regularly

2. A marble paperweight shaped similar to a prism weighs 0.3 lb. How much does a similarly shaped marble paperweight weigh if its length, width, and height are doubled? O () O 2.4 lb 2.7 lb 1.2 lb 0.6 lb

Logan is solving an a real world problem using absolute value inequalities. Below is the question Logan is solving with his steps to solve inequality. The Question The ideal weight of a certain toy car is 22.35 ounces. The actual weight may vary from the ideal by at most 0.12 ounce. Find the range of acceptable weights for this engine. Logan's steps: Step 1: The equation he created was |x-.12 |≤ 22.35 Step 2: x- - .12 ≤ 22.35 and - (x-.12) ≤ 22.35 Step 3: x 22.47 and x > -22.23 Solution: -22.23 ≤ x ≤ 22.47 Which is true about Logan's work? O Step 2 is incorrect: The second inequality that Logan should have set up should have been x-.122-22.35. O Step 3 is incorrect. Logan solved the inequality wrong for the second inequality and the inequality should be 22.23 making the solution 22.23 ≤x≤ 22.47. O All steps and the solution is correct. O Step 1 is incorrect. Logan should have used the equation x 22.35 | .12.

Use interval notation to express the solution set and graph the solution set on a number line. - 3x≤ 15 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type your answer using interval notation.) B. The solution set is Ø.

A certain manufacturing industry has 63.1 thousand job in 2008, but due to the economy, declined at an average annual rate of 1.7 thousand jobs per year from 2008-2018. Assuming this was true, what was this industry's percent change from 2008 to 1018?

Determine whether the random variable x is discrete or continuous. Explain. Let x represent the exact time it takes to evaluate 27 + 72. Choose the correct answer below. ***** A. The random variable is continuous, because it has an uncountable number of possible outcomes. OB. The random variable is discrete, because it has a countable number of possible outcomes. OC. The random variable is continuous, because it has a countable number of possible outcomes. D. The random variable is discrete, because it has an uncountable number of possible outcomes.

An 8-in pendulum moves according to the function 0 = 0.4 cos (2t) where is the angular displacement from the vertical in radians and tis time in seconds. What is the rate of change (in radians/s) of when t = Note: Round to the nearest hundreth. 4 seconds?

Suppose it takes a force of 30 N to hold a spring that has been stretched from its natural length of 6 cm to a length of 8 cm. How much work (in J) is done in stretching the spring from 7 cm to 9 cm?

Given the function f(x) below, determine for what x value(s) the function is discontinuous, if any. 3x-2 if -3 < x < 2 if 2<x< 4 2 if a 4 Hint: Try graphing the piecewise function to help visualize. f(x) H The function is discontinuous at x = 2 and x = 4. The function is discontinuous at x = 4. The function is discontinuous at x = 4 and x = -1. The function is continuous over all x values in the domain of f(x).

The radius of a disc is measured to be 14 in. The measurement of the radius at worst could be inaccurate up to 0.2 inches. Use differentials to estimate the maximum error in the calculated area of the disc (in in²). Note: Round to the nearest hundreth.

If you borrow $4,500 at 4% interest, what is the amount that you will owe in five years if compounding is continuous?

The count in a bateria culture was 900 after 15 minutes and 1300 after 30 minutes. Assuming the count grows exponentially, What was the initial size of the culture? Find the doubling period. Find the population after 65 minutes. When will the population reach 13000.

Suppose a hiker finds himself in a forest 4 miles directly east of the nearest point along a road that runs north to south. He wants to walk to his car which is parked on the road 10 miles south of the point on the road that is nearest to the hiker. He can walk 2 miles per hour through the forest and 4 miles per hour along the road. Toward what point, in miles north of the car, should the hiker walk in order to minimize the time it takes to reach his car? Note: Round to the nearest thousandth.

Tyrone's hourly wage is $20 and his net pay is 72% of his earning. Tyrone spends about $1,900 on his monthly expenses. If Tyrone works 40 hours per week and has no other sources of income, what is his total monthly cash inflow? (Hint: Assume there are 4 pay periods per month)

On April 1st, 2020 there were 736 COVID-19 cases recorded in Oregon state. And on April 30th (29 days later), there were 2,510 cases. (Source: KGW8 News) Assume exponential growth. Use this data to determine what day in May the number of recorded cases should have been 3200. According to an exponential model, the number of cases should have reached 3200 on May 2020. (Round so there are no decimals in your answer.)

100 minutes, the bacterial The doubling period of a bacterial population is 10 minutes. At time t = population was 70000. What was the initial population at time t = 0? Find the size of the bacterial population after 4 hours.

Solve the radical equation. Check all proposed √2x+5=x-5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is (Use a comma to separate answers as needed. Simplify your answer.) OB. The solution set is the empty set.

The 1906 San Francisco earthquake had a magnitude of 7.9 on the MMS scale. Around the same time there was an earthquake in South America with magnitude 4.9 that caused only minor damage. How many times more intense was the earth movement in San Francisco earthquake than the South American one?

Sherrie takes 35/6 hours to clean a pool; Jose takes 2 5/9 hours. Calculate the time difference in hours. Express your answer in mixed number form, and reduce if possible.

You give up a full-time salary of $52,000 a year to go to school for 2 years. The total cost of going to school is $36,000. 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?

Solve the linear inequality. When the solution is other than Ø, use interval notation to express the solution set and graph the solution set on a number line. 5(x+1)+124x + 7 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution is (Type the solution using interval notation.) OB. The solution set is Ø. ***

Use graphs to find the set. (-5,0) U[-1,3] Select the correct choice below and fill in any answer boxes within your choice. OA. The set is (Type your answer in interval notation.) OB. The answer is the empty set.

Other than Ø, use interval notation to express the solution set and graph each solution set on a number line. 2(8-5x)>30-3x Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. The solution set expressed in interval notation is (Simplify your answer. Use integers or fractions for any numbers in the expression.) OB. The solution set is Ø. www

Solve the compound inequality. -8≤x-4< -1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is OB. The solution set is the empty set. (Type your answer in interval notation.)

A wooden artifact from an ancient tomb contains 40 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.) years.

A construction worker, 24 feet up on a scaffold, lifts a 4-lb rope hand over hand up to the scaffold to raise a cement block weighing 6 pounds off the ground. (Assume the rope is 24 feet long.) How much work (in ft-lbs) is required to pull the rope and the block up to the scaffold?

A physics class has 40 students. Of these, 14 students are physics majors and 18 students are female. Of the physics majors, four are female. Find the probability that a randomly selected student is female or a physics major. - The probability that a randomly selected student is female or a physics major is www..

Any of the following may contribute to over- training, with the exception of which? A. Training too intensely. B. Training with supervision. C. Training too much. D. Training too quickly.

If you see an argument getting out of control and heading towards violence, you should leave and notify someone asap. Who would be the best people to notify? A. the relations of those involved B. people in positions of responsibility C. the first peers you see

Some healthcare products are advertised to be effective without much behind them, which makes them questionable. A. money B. guarantee C. scientific research

At the beginning of an experiment, a scientist has 268 grams of radioactive goo. After 210 minutes, her sample has decayed to 4.1875 grams. What is the half-life of the goo in minutes? Find a formula for G(t), the amount of goo remaining at time t. G(t) = How many grams of goo will remain after 47 minutes?

Living in a large city which has bad air quality from pollutants can negatively affect your health. A. environmental B. social C. emotional D. spiritual

Use the basic proportion P/10 - A/B to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if necessary.

A tractor pull contest is held at a county fair. The tractors in the contest pull a sled on which two more people get on every 10 feet. The force function to move the sled feet is given by F(x) = 400x + 1500 lbs. How much work (in ft-lb) is required to pull the sled 50 feet?

The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced to a mass of 5 mg. What was the initial mass (in mg) of the sample? What is the mass 7 weeks after the start?

What term describes when there is an increase, often sudden, in the number of cases of a disease above what is normally expected in a population? A. endemic B. anemic C. pandemic D. epidemic

Solve the equation using the quadratic formula. 2x²2² =2x+3 *w*** Score: 0 of 1 Next Question The solution set is . (Simplify your answer. Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

If you hear someone joking about suicide, A. change the subject B. take it seriously C. laugh along to lighten the mood

A is a set amount of money that you pay systematically in order to receive a certain amount of health insurance. A. deductible B. premium C. tax credit

Change the fraction to decimal form rounded to the nearest thousandth, if necessary. 1 20

Suppose the null hypothesis is rejected. State the conclusion based on the results of the test. Three years ago, the mean price of a single-family home was $243,719. A real estate broker believes that the mean price has increased since then. Which of the following is the correct conclusion? OA. There is not sufficient evidence to conclude that the mean price of a single-family home has not changed. B. There is sufficient evidence to conclude that the mean price of a single-family home has not changed. C. There is not sufficient evidence to conclude that the mean price of a single-family home has increased. D. There is sufficient evidence to conclude that the mean price of a single-family home has increased.

Norepinephrine and dopamine are two different chemicals that are found mainly in which part of the body? A. the lungs B. the stomach C. the brain

Which disease of the respiratory system is a bacterial infection that is very resistant to antibiotics and mainly happens in people whose immune systems do not work well? A. tuberculosis B. asthma C. pneumonia

A company that has 250 employees chooses a committee of 14 to represent employee retirement issues. When the committee is formed, none of the 56 minority employees are selected. (a) Use technology to find the number of ways 14 employees can be chosen from 250. (b) Use technology to find the number of ways 14 employees can be chosen from 194 nonminorities. (c) What is the probability that the committee contains no minorities when the committee is chosen randomly (without bias)? (d) Does your answer to (c) indicate that the committee selection is biased? Explain your reasoning. (a) There are (Use scientific (b) There are (Use scientific ***** ways to choose 14 employees from 250 employees. notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.) ways to choose 14 employees from 194 nonminorities. notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.)

A bathtub contained 45 gallons of water when the plug was pulled. Six minutes later, 36 gallons of water remained in the tub. Assume the bathtub drained at a constant rate (in gallons per minute). a) Determine the equation of the linear relation (in slope-intercept form) with x = the # of minutes from when the plug was pulled, and y = the # of gallons of water in the bathtub. Sketch the graph. b) What do the slope and the y-intercept of your line indicate? c)Use your equation to determine how much water the bathtub contain 20 minutes after the plug was pulled. d) Use your equation to determine how long after the plug was pulled the bathtub was empty.

What type of therapy is hoping to be able to replace or insert genetic material to help change people's genetic make-up? A. gene therapy B. radiation therapy C. chemotherapy

State the conclusion based on the results of the test. According to the report, the standard deviation of monthly cell phone bills was $48.38 three years ago. A researcher suspects that the standard deviation of monthly cell phone bills is less today. The null hypothesis is rejected. Choose the correct answer below. OA. There is not sufficient evidence to conclude that the standard deviation of monthly cell phone bills is less than its level three years ago of $48.38. B. There is sufficient evidence to conclude that the standard deviation of monthly cell phone bills is different from its level three years ago of $48.38. C. There is sufficient evidence to conclude that the standard deviation of monthly cell phone bills is less than its level three years ago of $48.38.

When choosing a doctor, you should remember to consider his/her and try to find a doctor you will feel comfortable around. A. bedside manner B. salary requirements C. age or length of practice

Our immune system is comprised of a set of of different specialties with skills that do what against foreign invaders? "soldiers" specialized A. meet and greets B. teach them how to do things C. attack, identify, and kill D. lock them up