Basic Math question and answers for July 19, 2024
- Q Solve sin(6x) cos(9x) - cos(6x) sin(9x) = -0.7 for the smallest positive solution.Give your answer accurate to two decimal places.
- Q Let the sample space be S=(1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Suppose the outcomes are equally likely. Compute the probability of the event E="an odd number...
- Q Convert the degree measurement to radians. Express answer as multiple of ?: 45A.?/5B. ?/4C. ?/6D.?/3
- Q Let the sample space be S= (1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Suppose the outcomes are equally likely. Compute the probability of the event E={3, 5,...
- Q Suppose you have the following three student loans: $12,000 with an APR of 8.5% for 15 years, $17,000 with an APR of 9% for 20 years, and $14,500 with an...
- Q Water weighs 62.4 pounds per cubic foot. How much does the water in a tank that measures 7 ft x 4 ft x 9 in,weigh?A. 1,310 lbsB. 1,316 lbsC. 1,573...
- Q Which of the following statements is false?A. The diagonals of a rectangle are perpendicular.B. The base angles of an isosceles trapezold are congruent.C. A quadrilateral is a polygon with four...
- Q A sample of sulfur hexafluoride gas occupies 7.97 L at 242C. Assuming that the pressure remains constant, what temperature (in C) is needed to reduce the volume to 3.18 L?...
- Q Find the area of a triangle with legs that are: 15 m, 25 m, and 20 m.A. 150 mB. 42.4 mC. 106.1 mD. 38.2 m
- Q If each interior angle of a regular polygon measures 108, how many sides does it have?A. 6 sidesB. 5 sidesC. 7 sidesD. 10 sides
- Q Enter your answer in the provided box.A 86-L sample of dry air cools from 107C to -24C while the pressure is maintained at 2.88 atm.What is the final volume?
- Q A line segment that goes from one side of the circle to the other side of the circle and doesn't go through the center is:A. a secantB. a diameterC. a...
- Q A sandwich shop offers a choice of 5 meats, 3 cheeses, and 4 different breads. How manydifferent combinations of sandwiches are there to choose from which contain one kind ofmeat,...
- Q You just bought an aquarium for your fish, which is 39.75 inches wide and 11.375 inches deep. The salesman told you to keep the water 2 inches from the top...
- Q oblemsA plumber wishes to cut a piece of pipe 32 inches long into two parts so that the larger part is 4 inches less than three times the smaller part....
- Q The half-life of the radioactive element unobtanium-41 is 20 seconds. If 178 grams of unobtanium-41 are initially present, how many grams are present after 20 seconds? 40 seconds? 60 seconds?...
- Q You have a choice between a 30-year fixed rate loan at 3.5% and an adjustable rate mortgage(ARM) with a first year rate of 2%. Neglecting compounding and changes in principal,...
- Q Casey buys a bracelet. She pays for the bracelet and pays $0.72 in sales tax. The sales tax rate is 6%.What is the original price of the bracelet, before tax?
- Q A stained glass window is going to be installed in a semi-circular opening, which is above a 30 inch wide door. If the stained glass window costs $1.40 per square...
- Q The domain, range, and Intercepts of a function are shown. Which set of Information could be characteristics of the function's Inverse?domain: x?-1 y-Intercept: (0,-1)range: y?-2 x-intercept: (1,0)A. domain:...
- Q The half-life of the radioactive element unobtanium-37 is 5 seconds. If 80 grams of unobtanium-37 are initially present, how many grams are present after 5 seconds? 10 seconds? 15 seconds?...
- Q Enter your answer in the provided box.A sample of carbon monoxide occupies 7.36 L at 296.0 K and 772 torr. Find its volume at -47C and 417 torr.
- Q Enter your answer in the provided box.If 1.97 10-3 mol of argon occupies a 96.3-mL container at 31C, what is the pressure (in torr)?
- Q Solve using the elimination method. Also determine whether the following system is consistent or inconsistent and whether the equations are dependent or independent.12x - 10y = 36x - 5y =...
- Q Enter your answer in the provided box. A sample of sulfur hexafluoride gas occupies 7.97 L at 242C. Assuming that the pressure remains constant, what temperature (in C) is needed...
- Q Jose wants to cover his rectangular bathroom floor in tile. The floor measures 3 units by 5 units. Each tile is 1 square unit and costs $4.How much will it...
- Q Jack wants to plant a border of flowers in the shape of an arc along the edge of a circular walkway. If the circle has a radius of 5 yards...
- Q A rectangular prism is changed by doubling its length, halving its width, and tripling its height. How will these changes affect its volume? [Hint: draw a picture]A. The volume is...
- Q 4.2.1: You have saved $400, $350, and $340 so far. After your next and final weekof saving, you want to have saved an average of $375 per week. How much...
- Q Points A and B are on opposite sides of a lake. A point C is 81.3 meters from A. The measure of angle BAC is 78.33, and the measure of...
- Q A piece of string that is 132 inches long iscut into 3 pieces. The second piece ofstring is twice as long as the first piece.The third piece of string is...
- Q What is the circumference of a circle whose radius is 13?A. 26B. 13C. 13?D. 26?
- Q Compare the monthly payments and total loan costs for the following pairs of loan options. Assume that both loans are fixed rate and have the same closing costs.You need a...
- Q 13. Which steps would transform the parent function f(x) = x to f(x) = -2(x-4) + 5?a. Reflect across the x-axis, stretch by a factor of 2, translate 4 units...
- Q Solve the following system of equations.5a - 30b= 310a + 30c = 3460b + 20c = 22Select the correct choice below and, if necessary, fill in the answer box to...
- Q Answer parts a through c based on a study showing that late in the semester, procrastinating students reported more symptoms of physical illness than theirnonprocrastinating peers.a. At the beginning of...
- Q A baseball player hit 59 home runs in a season. Of the 59 home runs, 17 went to right field, 21 went to right center field, 8 went to center...
- Q The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 146. The total number of...
- Q You need a loan of $155,000 to buy a home. Calculate your monthly payments and total closing costs for each choice below. Briefly discuss how you would decide between the...
- Q 12. An object is launched at 19.6 meters per second from a 58.8 meter tall platform. Theequation for the object's height s at time t seconds after launch is h(t)...
- Q The coordinates of three vertices of parallelogram ABCD are A(-3,-2), B(0,2), and C(2,2). What are the coordinates of vertex D?A. (1,-2)B. (1,2)C. (-1,2)D. (-1,-2)
- Q Two points, A and B, are on opposite sides of a building. A surveyor chooses a third point, C, 80 yd from B and 104 yd from A, with angle...
- Q What is the radius of a circle whose circumference is 36??A. 36B. 12C. 18D. 9
- Q The exponential model A = 520.1e0.006 describes the population, A, of a country in millions, t years after 2003. Use the model to determine the population of the country in...
- Q The Tennis Club has 5 new members. Each member buys a racket and a tube ofballs. If 6 rackets cost $186.00 and 6 tubes of balls cost $27.00, how much...
- Q The perimeter of a triangle is 170 feet and the sides are in the ratio of 25:14:12. Find the area of the triangle.A. 496.08 ftB. 153.45 ftC. 494.35 ftD. 107.24...
- Q What is the circumference of a circle (to the nearest whole number) whose diameter is 12?A. 12B. 19C. 38D. 113
- Q When estimating a population mean, are you more likely to be correct when you use a point estimate or an interval estimate? Explain your reasoning. Choose the correct answer below.A....
- Q Suppose you want to borrow $95,000 and you find a bank offering a 20-year loan with an APRof 5%.a. Find your regular payments if you pay n = 1, 12,...
- Q Among all pairs of numbers whose sum is 20, find a pair whose product is as large as possible. What is the maximum product?
- Q A cylinder is inscribed in a right circular cone of height 8 and radius (at the base) equal to 2.5. What are the dimensions of such a cylinder which has...
- Q Consider a student loan of $17,500 at a fixed APR of 9% for 25 years.a. Calculate the monthly payment.b. Determine the total amount paid over the term of the loan.c....
- Q Two four-sided dice with sides numbered from 1 through 4 are tossed. What is the samplespace for the sum of the two dice?a. {4}b. {1, 2, 3, 4)c. {2, 3,...
- Q If all other quantities remain the same, how does the indicated change affect the width of a confidence interval?(a) Increase in the level of confidence(b) Increase in the sample size(c)...
- Q Write the following number in decimal notation.Ninety-two and seven hundredths
- Q For the same sample statistics, which level of confidence would produce the widest confidence interval? Explain your reasoning. Choose the correct answer below. 99%, because as the level of confidence...
- Q The formulas below are the cost and revenue functions for a company that manufactures and sells small radios.C(x)=120,000+ 37x and R(x) = 49xa. Use the formulas shown to write the...
- Q Factories often add filler when making meatballs sold by the bag. One factory obtained 90 kg of beef from overseas. They want to add 1.4 oz of filler for each...
- Q The Acting Club two-act plays begins at 3:20 P.M. The first act is twice as long as the second act, and there is a 15-minute break between the two acts....
- Q A starship is orbiting Milgram, a large moon of the planet Erdosar. The ship's sensor array detects that the temperature on the surface of the moon is -14.2 C. What...
- Q The population of a bacteria colony triples every hour. If the initial population is 100a) write an equation that would model the population, where P is the total population and...
- Q The Art Club held a show for 2 days. A total of 269 people attended the show. On the second day, 15 more people attended than had come to the...
- Q Solve 5 sin(2w) - 4 sin(w) = 0 for all solutions 0? W< 2?
- Q Consider a home mortgage of $250,000 at a fixed APR of 9% for 30 years.a. Calculate the monthly payment.b. Determine the total amount paid over the term of the loan.c....
- Q If algae grows at a rate that can be modeled bythe exponential function A(t) = aert, what is thesurface area of algae on a pond if the initial areaof the...
- Q For the following loan, make a table showing the amount of each monthly payment that goes towardprincipal and interest for the first three months of the loan.A home mortgage of...
- Q Consider a student loan of $10,000 at a fixed APR of 10% for 3 years.a. Calculate the monthly payment.b. Determine the total amount paid over the term of the loan.c....
- Q Find the critical numbers of the function f(x) = -12x^5 + 15x^4 + 100x - 5 and classify them using agraph.
- Q Suppose you have a student loan of $25,000 with an APR of 9% for 40 years. Complete parts (a) through (c) below.a. What are your required monthly payments?The required monthly...
- Q Consider the following pair of loan options for a $165,000 mortgage. Calculate the monthly payment and total closing costs for each option. Explain which is the better option and why.Choice...
- Q Someone needs to borrow $14,000 to buy a car and the person has determined that monthly payments of $300 are affordable. The bank offers a 3-year loan at 8% APR,...
- Q An isosceles triangle has a vertex angle of 26. Two sides of the triangle are each 15 ft long. Find the area of the triangle.A. 49.314 sq ftB. 45.543 sq...
- Q A rancher wants to fence in an area of 3,000,000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to...
- Q Assume you have a balance of $1100 on a credit card with an APR of 24%, or 2% per month. You start making monthly payments of $200, but at the...
- Q A 5000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each pric $148,200?
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