Basic Math question and answers for July 30, 2024
- Q A swimming pool has the shape of a box with a base that measures 21 m by 15 m and a uniform depth of 3.1 m. How much work is...
- Q Suppose sin 2x =1/2Find all solutions 0?x? 2?. Give exact values inradians, and type "pi" for .X =(If there is more than one answer, enter the answers separated bycommas)
- Q Find the coefficient of xy in 22xy.2-222
- Q Find the factored form of x2 - 11x + 24.(x-8)(x-3)(X + 8)(x-3)(x-8)(x+3)
- Q Solve the exponential equation. Express irrational solution6^(1-7X) = 7^X
- Q Find the factors of m + 13m + 40.(m+8)(m + 5)(m-8)(m + 5)(m+8)(m-5)
- Q What is the value for x if the perimeter is 42?
- Q The population of Sasquatch in Salt Lake County was modeled by the function P(t)=350t/t +35 t = 0 represents the year 1803. When were there fewer than 125 Sasquatch in...
- Q In a hypothesis test with hypotheses Ho:?< 45 and H?:? > 45, a random sample of 60 elements selected from the population produced a mean of 46.8. Assume that o...
- Q You are responsible for an automobile accident. Use the information below to determine:1. the total amount your liability insurance will pay for the accident2. the total amount your collision insurance...
- Q A cannonball was fired during the Battle of Muizenberg. The function h(t) = - 16t +352t representsthe height of the cannonball after t seconds after it was fired.1) After how...
- Q Edward has x dollars. Jay has 25 dollars less than 4 times the square of Edward's amount.Determine the expression that represents the amount of Jay's money and write it in...
- Q Suppose you want to build a rectangular picture frame where the width is 2 inches less than the length and the diagonal is 2 inches longer than the length. What...
- Q 2. (10 pts) A shipment of 270 cell phones and radar detectors were destroyed in a truck accident. On the insurance claim, the shipper stated that each phone was worth...
- Q Andy estimated that he would need 71 feet of lumber for a tree house project. He later found that the actual amount of lumber needed was 60 feet. What was...
- Q Find the product:(x + 1)(x - 5) x - 6x - 5x + 4x - 5x-5x - 4x - 5
- Q A pizza shop sells pizza by the slice. The size of a pizza is given by the pizza's diameter. The shop makes three different sizes of pizza - a 14-inch...
- Q Factorize: x - y.(x+y)(x - xy + y)x-y(x-y) (x+ xy + y)
- Q Simplify the sum 1/x - 4 + 6/x+2. State any restrictions on the variable.A. 6x-11/x - 4; x?2B.6X-11/x - 4;x?-2C.6x+13/x - 4;x?2D.6x+13/x - 4;x?-2
- Q A particle travels in a circular motion counter-clockwise according to the equations x(t) = 4 cos(?t) and y = 4 sin(?t). At what time will the particle have traveled halfway...
- Q Raul sets aside $100 per month during his career of 40 years to prepare for a comfortable retirement. He does not like the idea of investing so he puts his...
- Q A pizza shop offers a "free pizza" coupon under 8% of its pizza boxes. You have purchased 15 pizzas and are surprised to find that you have still not won...
- Q Sheila is a wildlife biologist. At the beginning of each year, she tracks the wild turkey and white-tail deer population in the game reserve where she works.At the first year...
- Q A farmer has 3 cylindrical grain silos on his farm. Each silo has a radius of 25 ft and a height of 60 ft. What is the approximate total volume...
- Q Three ballet dancers are positioned on stage. Erica is straight behind Vivian and directly left of Kevin. If Vivian and Erica are 3 meters apart, and Kevin and Vivian are...
- Q A circle has a diameter of 7 units. Find the area14?12.25?49?7?
- Q The exponential function f, represented in the table, can be written as f(x) =a.bx.x f(x)0 151 9Complete the equation for f(x).f(x) = __
- Q The minute hand on the clock shown below has alength of 7.5 cm. Which of the following is closest tothe distance that the tip of the hand travels as itmoves...
- Q Given the side lengths 5,12, and 13; what kind of triangle can you make?you can not make a trianglerightacuteobtuse
- Q Each year, a diesel engine manufacturing plant tests a sample of twenty-five of their engines to make sure the horsepower is to specification. This year, the average was 2,538 horsepower,...
- Q One serving of a certain brand of yogurt contains 11 g of fat. The low-fat version contains 40.25% less fat per serving. How many grams of fat does one serving...
- Q Which of the following describes p(x) after the following transformations: Horizontal shrink of a factor of 1/2 Translated horizontally 5 units right. Translated 3 units down0.5p(x - 5)-32p(x-5)-3p(0.5(x - 5))...
- Q Brady has a Sports Academy credit card. The card has a balance of $5451.29 with an APR of 26.79%. The Academy expects the minimum payment to be 3.5% of the...
- Q Jerome will be buying a used car for $6,000 in 2 years. How much money should he ask his parents for now so that, if he invests it at 3%compounded...
- Q Mr. Tyler has to mow a large field on hisfarm. He will mow 1/4 of the field in themorning and 2/3 of the field right afterlunch. At that point, how...
- Q To show similarity between Circle A and Circle B, Simeontranslates Circle A so that the center of Circle A coincideswith the center of Circle B. He then dilates Circle A...
- Q Write the terms for the series. Evaluate the sum, given that x? = -4, X? = -3,x3 = -2, x4 = -1, and X5 = 0.5 ...
- Q The Varners live on a corner lot. Often, children cut across their lot to save walking distance. The diagram to the right represents the corner lotThe children's path is represented...
- Q Kylie explained that (-4x+9)2 will result in a difference of squares because (-4x+9)-(-4x)+(9)-16x+81. Which statement best describes Kylie's explanation?Kylie is correct.Kylie correctly understood that it is a difference of squares,...
- Q The recommended daily allowance of niacin for adults is 20 mg. One serving of a certain breakfast cereal provides 5 mg of niacin. What percent of the recommended daily allowance...
- Q 13. A cone with a radius of 6 meters has a volume of 542.87 m. Find the slant height of the cone.height =slant height =
- Q f(x)=3600/x+100x+1800a. what is the domain of f(x)?b. Find the dericative of f(x).c. identify all stationary points of f(x). (if non explain why)d. Identify all singular points of f(x). (if non...
- Q An asteroid is 10^12 miles away from earth, and it is travelling at a speed of 10^5 miles per day. How many days will it take the comet to reach...
- Q The slope is 3, and the y-intercept is 9.The slope is 3, and the y-intercept is 12.The slope is 4, and the y-intercept is 9.The slope is 4, and the...
- Q Given that x = 15, and y = 60, determine which segments orlines are parallel, and justify your solution.A AB | CD, because alternate interior angles are congruent.B AD |...
- Q 9) Jamal wants to construct a tangent line to circle O that passes through point M. He started by drawing a segment from point O to point M. Next he...
- Q 17) Jon performs 3 transformations on a pentagon. First, he reflects it over the x-axis. Then, he translates it 3 units to the left and 4 units up. Finally, he...
- Q John has a credit card with an APR of 23.95% and a current balance of $12,650.35. He wants to pay it off in 3 years. What will John's monthly payment...
- Q A biologist wants to know the width w of a river to properly set instruments for an experiment. From point A, the biologist walks downstream 100 feet and sights to...
- Q In Circle O, LAC is a central angle andmzAC = 132. If Q represents the area of Circle O,write an expression that represents the area of thesector formed by ZAC,...
- Q Carly wants to invest $1000 in an account that earns 6.2% interest, compounded quarterly. How many years will it take for he account to have a value of $5000? Round...
- Q Lee has collected the cost and sale price of five food items from a supermarket. Cost (in $) 10 25 14 25 Sale Price (in $) 14.5 Yes 32 17...
- Q In past years, the proportion of engineering students at the local college who did not own acalculator was 0.15. Angelina believes the proportion of current population of engineeringstudents who do...
- Q Evaluate the series.5? (71+1)i=15?(7i+1)=i=1
- Q How much would you have to deposit in an account that pays an interest rate of 4.6% compounded monthly, if at the end of 10 years you want $8500 in...
- Q On Melissa's 6th birthday, she gets a $4000 CD that earns 5% interest,compounded semiannually. If the CD matures on her 12th birthday, how muchmoney will be available?The amount available will...
- Q Evaluate the series.7?(-1))j=17?(-1)=j=1
- Q A recent survey of 18 randomly selected social networking sites has a mean of 11.5 million visitors for a specific month. The standard deviation is 4.58 million. Find the lower...
- Q Data set 14 "Oscar Winner Age " in Appendix B lists ages of actresses when they won Oscars, and the summary statistics are n=87, x= 36.2 years, and s=11.5 years....
- Q The standard deviation of SAT scores is 126 points. A researcher decides to take a sample of 600 students' scores to estimate the mean score of students in your state....
- Q The Great Pyramid of Giza, located in Egypt, is one of the Seven Wonders of the Ancient World. The length of one side of its square base is 440 cubits...
- Q Which of the following statements on the central limit theorem is true?A) if the sample size increases then the sampling distribution much approach an exponential distributionB. if the sample size...
- Q Find the surface area of a square pyramid whose side length of the base is 9 cm and has a slant height of 6 cm.A. 254 cmB. 142 cmC. 189...
- Q The gas tank of a 2014 Dodge Charger holds 19.1 gallons. How many pounds of carbon dioxide are produced by burning an entire tank of gas?Express your answer rounded to...
- Q The company has a $150,000 liability at December 31, 2021, of which $30,000 of it is payable in 2022. In its December 31, 2021 balance sheet, the company reports the...
- Q Find a counterexample to the statement.The sum of two different prime numbers is always prime.
- Q Write the first five terms of the sequence.an=(1/2)n(3n-2)a? = (Type an integer or a simplified fraction.)
- Q According to http://www.thehcf.org/antiidlingprimer.html, Americans waste approximately 3.8 million gallons of gasoline each day by voluntarily idling their cars. How many pounds ofcarbon dioxide does this produce daily?Express your answer rounded...
- Q A sample of 15 measurements of the breaking strengths of cotton threads gave a mean of 7.3 oz and a standard deviation of 2.82 oz. Find an upper bound 95%...
- Q A 95% confidence interval estimate for the difference between two population means, 12000, is determined to be (62.75,68.52.) If the confidence level is reduced to 90%, the confidence interval(A) insufficient...
- Q Which is an example of an experiment? A company asks its website users to rate its new features to navigate the site.Researchers working for a company test their new sneaker...
- Q For the rotation 1409, find the coterminal angle from 0 0 < 360, the quadrant and the reference angle.The coterminal angle is __ which lies in Quadrant __with a reference...
- Q Give a geometric description of the following set of points.x + y +2-12x+8y-10z+61 = 0Select the correct choice below and fill in the answer boxes within your choice.(Simplify your answers.)A....
- Q The Central Limit Theorem says that the mean of the sampling distribution of the sample means isA) exactly equal to the population mean.B) equal to the population mean divided by...
- Q Call a metric space sequentially compact if every sequence has a convergent subsequence. Prove that a metric space is sequentially compact if and only if every infinite subset has a...
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