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Recently Asked quantitative reasoning Questions

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  • Q1:5. (20 pts) A conjecture is a statement which is probably true but has not been proved or disproved. In this problem, we will "discover" a conjecture. a) (5 pts) Start with any positive integer. If it is even, divide by 2. If it is odd, multiply by 3 and add 1. So, we have a new integer, use the same rule to generate the next integer. Repeat and record the sequence of integers until it is natural to stop. b) (5 pts) Repeat part (a) with another initial positive integer. c) (10 pts) Write down a conjecture based on your observation in parts (a) and (b). Feel free to do more experimentation.See Answer
  • Q2:Find the average rate of change of f(x) = 2x² - 6 on the interval [2, t]. Your answer will be an expression involving tSee Answer
  • Q3:On a bicycle, Kiara rides for 3 hours and is 29 miles from her house. After riding for 6 hours, she is 56 miles away. What is Kiara's average rate over the last 3 hours of her trip? miles per hourSee Answer
  • Q4:Applications 11: Exponential and Logarithmic Equations 1. Finance Sung Lee invests $5,000 at age 18. He hopes the investments will be worth $10,000 when he turns 25. If the interest is compounded continuously, approximately what rate of growth will he need to achieve his goal? Is that a reasonable expectation? Why or why not? 2. Sound The formula for measuring sound intensity in decibels D is defined by the 1D = 10log(+), where I is the intensity of the sound, in watts per -12 W square meter, and I = 10 is the lowest level of sound that the average person can hear. What is the intensity of a hair dryer that makes a sound of 90dB? equation mSee Answer
  • Q5:Assignment brief Paul and Jenny have a whole number of pounds. Paul says to Jenny: 'If you give me £3, I will have n times as much as you.' Jenny says to Paul: 'If you give me £n, I will have 3 times as much as you. You are given that all these statements are true and that n is a positive integer. 1. Determine an equation for the number of pounds that Jenny has in terms of n. 2. By using long division, or otherwise, on the result in (1) show that n ≤ 7. 3. Hence, by examine cases, determine the values of n for which there is a solution to this problem and in each of these cases the number of pounds Paul and Jenny have.See Answer
  • Q6:10. Construct a proof of the following theorem: (¬P V Q) → (Q → P).See Answer
  • Q7: 5. Translate this sentence into an equation and solve: The sum of five times a number and eight is forty-eight. See Answer
  • Q8: 5. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. A: Solve 5n - 3n2 = 8. Check the answer. Show all work. B: Solve 8x - 24 = 5x + 12. Check the answer. Show all work. Part C: In your own words, explain what the main goal is when solving equations with variables on both sides of the equal sign. Use complete sentences.See Answer
  • Q9: Jerry purchased a new TV for $399.35. The sales tax was 3.2%. What was the total amount that he paid for the TV? See Answer
  • Q10: 4. A restaurant's sales increased 30% over the last year. This year's sales are $256, 982. What were the sales last year? Round your answer to the nearest dollar. See Answer
  • Q11: Diana drank 7/10 of a cup of water at breakfast and 5/6 of a cup of water at lunch how much water did she drink total give the answer is simplest form See Answer
  • Q12: 1. Write the slope-intercept form for the linear equation 3x + 4y = 16. See Answer
  • Q13: 1. Write the slope-intercept form for the linear equation 3x + 4y = 16. See Answer
  • Q14: 12. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part ofyour response as Part A, Part B, and Part C. Part A: Raul purchased a new laptop that was on sale for 15% off the original price. If Raul paid $865.29 for the laptop, what was the original price? Round answers the nearest cent. Part B: Raul had a coupon for 12% off, which he used to purchase a wireless keyboard and mouse combination at a total cost of $40.99. Calculate the cost of the keyboard and mousebefore the coupon. Part C: The percent decrease formula is B -P1-R'where R is the base, P is the part, and R is the rate.See Answer
  • Q15: 6. What percent of 290 is 105? Round the answer to the nearest tenth. See Answer
  • Q16: 3. Kris and Gena both went for a run. Kris ran910of a mile, and Gena ran3of a mile. How much farther did Kris run than Gena? Give the answer in simplest form.10 See Answer
  • Q17: 17. In 2013, the population of New York City was 8,405,837. What is the population of New York City rounded to the nearest thousand? See Answer
  • Q18: 1. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part ofyour response as Part A, Part B, and Part C. Part A: Marco purchases dog food by the pound for his dog, Bruiser. His total purchase is $31.20, and the food is $1.65 per pound. Write a division problem that could be used todetermine how many pounds of dog food Marco purchased. Part B: Use the division problem written in Part A to determine how many pounds of dog food Marco purchased. Round to the nearest tenth. Part C: Show your work to support your answer to Part B.See Answer
  • Q19: Par vienyve Juru5. The cost of a kavak is $2.450, and the selling price is $3.560. Find the percent of the markup on the selling price. Round to the nearest tenth of a percent. See Answer
  • Q20: 24. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure toclearly label each part of your response as Part A, Part B, and Part C. Part A: Greenhouse Growers checks inventory on its flowers every month during the growing season. The table shows the inventory at the end of each month from May to August. What is the average inventory per month for flowers during the 4-month period? Part B: At Greenhouse Growers, the month of April is the most popular month for selling tomato plants. Over the course of the month, the average inventorywas valued at $57, 060, and the total inventory was $342, 360. How many times did Greenhouse Growers value its inventory of tomato plants during themonth of April? Part C: Trees have a longer growing season, so Greenhouse Growers tracks the tree inventory every other month for 6 months. The inventory recorder-accurately recorded the inventory value twice; however, the recorder failed to record the inventory value on the third recording. The recorder found the-inventory value to be $226, 450 on the first recording and $163, 942 on the second recording. The average tree inventory in the 6 months was $195, 628.Calculate the third inventory value. Show your work.See Answer

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