Basic Math question and answers for July 05, 2024
- Q The osmotic pressure exerted by a solution is equal to the molarity multiplied by the absolute temperature and the gas constant R. Suppose the osmotic pressure of a certain solution...
- Q Over the last three evenings, Jina received a total of 101 phone calls at the call center. The third evening, she received 4 times as many calls as the first...
- Q Suppose the value R (d) of d dollars in euros is given by R (d)= 5/6 d.The cost P (n) in dollars to purchase and ship n purses is given...
- Q Solve the quadratic equation by the square root property.6x=24The solution set is
- Q Uma uses 5 gallons of red paint for every 2 pints of green paint. What is the rate of gallons of red paint to 1 gallon of green paint?20 gallons...
- Q The volume of a cylinder is 20 cubic inches. If the radius of the bases of the cylinders is tripled, what will the new volume be? (How is the radius...
- Q The cost, y, of a frult drink is proportional to x, the number of fruit drinks. The constant of proportionality Is 3.25. Which will check that y is proportional to...
- Q Deshaun wants to buy a bond that will mature to $4500 in eight years. How much should he pay for the bond now if it earns interest at a rate...
- Q Fill in the blank.To solve x +6x=5 by completing the square, add___to both sides of the equation.To solve x + 6x = 5 by completing the square, add to both...
- Q There are 6 grams of fat per serving in granola. Each serving provides 180 calories. There are 9 calories of fat in each gram. The percentage of calories from fat...
- Q Joanne owns a brick home with a full value of $97,000. The coverage rate for her homeowners insurance is 0.325%. The cost of Joanne's homeowners insurance isa. $298.46b. $315.25c. $325.00d....
- Q The population of California is approximately 38,040,000. The population of Texas is about 2.606 x 107. What is the approximate total population of these two states?40.646 * 10740.646 1066.410 1076.410...
- Q Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place.S = 4LW + 2WH; S = 170, L= 7,...
- Q A vector w has initial point (0, 0) and terminal point (-3,-2). Write w in the form w=ai+bj.
- Q Which equation has the same solution asx 13x + 3 = -7?(x+6.5) = ?52.25 (x ? 6.5) = 32.25(x+6.5) = 32.25(x ? 6.5) = -52.25
- Q The velocity of an object is the distance it travels per unit time. Suppose the cm velocity of a gliding bird is measured to be 197cm/s Calculate the time it...
- Q A chemistry student needs 20.0 g of tetrahydrofuran for an experiment. By consulting the CRC Handbook of Chemistry and Physics, the student discovers thatthe density of tetrahydrofuran is 0.889 g...
- Q Super fine 40-gauge copper wire has a diameter of only 0.080 mm and weighs only 44.5 g/km. Suppose a spool of 40-gauge wire weighs 245. g less after somewire is...
- Q Suppose that f(x) is a continuous function with f(1) = -6 and f(5)= 6. Determine which choice bestdescribes the following statement."f(3) = 0Always trueSometimes true and sometimes falseAlways false
- Q A biologist has a 691-gram sample of a radioactive substance. Find the mass of the sample after two hours if it decreases according to a continuous exponential decay model, at...
- Q P (n), given below, is the price P in dollars for n grams of vitamins.P(n)=0.8n+5.2Complete the following statements.Let P- be the inverse function of P.Take x to be an output...
- Q Fill in the blank.To complete the square of x-8x, addTo complete the square of x-8x, add(Type an integer or a simplified fraction.)
- Q Suppose that the functions & and t are defined for all real numbers x as follows.s(x)=4x-3t(x)=x-2
- Q Use the Factor Theorem to determine whether x-3 is a factor of P(x) = -x4+x3+5x-4.Specifically, evaluate P at the proper value, and then determine whether x-3 is a factor.
- Q Use the ALEKS graphing calculator to find the vertex and x-intercept(s) for the quadratic function.f(x)=-3.38x-5.2x-2
- Q How long will it take for a $4000 investment to grow to $7148 at an annual rate of 9.4%, compounded quarterly? Assume that no withdrawals are made.
- Q 13. Diego wants to purchase a used car that sells for $6,399. The dealer has offered him $299 on his trade-in car. The total cost of the car Diego wants...
- Q A building 160 feet tall casts a 90 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between...
- Q 12. Harrison loaned his friend Mattson $100 for one year at a simple interest rate of 5%. The totalamount of money that Mattson will pay back at the end of...
- Q A chemistry student needs 20.0 g of diethylamine for an experiment. By consulting the CRC Handbook of Chemistry and Physics, the student discovers that the density of diethylamine is 0.706...
- Q If ?=210, find the exact value of each expression below.(a) 2 sin ? =(b) sin (-?) =(c) sin 2? =
- Q Which situation is an example of exponential decay?The amount of a radioactive element is decreasing at a rate of 35%per year.The weekly earnings of a part-time job that pays $8...
- Q Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $125. Two adults and three children must pay...
- Q A sports arena can hold 18,500 people, plus or minus 1200 people.A. Write an absolute value equation to represent the number of people that can attend an event.B. Explain the...
- Q Match each action with its effect on the set of scores shown. Use each action only once.90, 85, 35, 70, 67, 76, 90, 79, 94, 100, 87, 61, 56, 80,...
- Q Find the unit vector in the direction of (7,5).Write your answer in component form.
- Q Alexa is a songwriter who collects royalties on her songs whenever they are played ina commercial or a movie. Alexa will earn $20 every time one of her songs is...
- Q Find the solution to the system by the addition (elimination) method. Check your answers.10x + 7y = 215x +9y = 27What is the solution to the system?(Type an ordered pair.)
- Q The base of a 13-foot ladder is 3 feet from a building. If the ladder reaches the flat roof, how tall is the building?The height of the building is
- Q Point T is at (-6, 2). What are the coordinates of T' after R(x-axis) o R(y-axis)?If a figure is translated with the rule T<-6, 3>, what translation moves the image...
- Q Graph the solution of the following system.x-2y ? -63x + y ? 6
- Q Against the wind a small plane flew 280 miles in 1 hour and 10 minutes. The return trip took only 50 minutes. What was the speed of the wind? What...
- Q Consider the line - 6x+7y=4.Find the equation of the line that is perpendicular to this line and passes through the point (1, 5).Find the equation of the line that is...
- Q Use the frequency histogram to complete the following parts.(a) Determine the number of classes.(b) Estimate the greatest and least frequencies.(c) Determine the class width.(d) Describe any patterns with the data.classes.(a)...
- Q The population density of an area can be computed by dividing the total population by the total land area. The population density of Rhode Island is 870.5 people/square mile and...
- Q Make a box-and-whisker plot that represents the data. Describe the plot, in the area provided, by giving Q1,Q2,Q3, and Q4. If there are any outliers be sure to identify them....
- Q A technical machinist is asked to build a cubical steel tank that will hold 540 L of water. Calculate in meters the smallest possible inside length of the tank. Round...
- Q Which of the following is a true statement?a. A horizontal translation changes thex-coordinate of the endpoints of afigure but the y-coordinate remainsthe same.b. A vertical translation changes the x-coordinate of...
- Q A space plane skims the edge of space at 4000 miles per hour. Neglecting altitude, if the circumference of the planet is approximately 20,000 miles, how long will it take...
- Q Suppose H (x)= (5x-2)6.Find two functions and g such that (fog)(x) = H (x).Neither function can be the identity function.(There may be more than one correct answer.)(x) =g(x)=
- Q A plane flying a straight course observes a mountain at a bearing of 30.2 to the right of its course. At that time the plane is 9 kilometers from the...
- Q Chris has a job selling newspapers every morning. He receives a base pay of $10 per day and also gets 15 cents for every paper he sells. One morninghe made...
- Q Brent Pickett borrowed $4000 from his brother Dave. He agreed to repay the money at the end of 2 years, giving Dave the same amount of interest that he would...
- Q Read the sentence.Toni's father taught at two schools, Concordia College and University of Wisconsin-Madison.How does the underlined phrase function in the sentence?as an adverb prepositional phraseas an appositive with essential...
- Q A man uses a loan program for small businesses to obtain a loan to help expand his vending machine business. The man borrows $29,000 for 4 years with a simple...
- Q Veronica wants to cut a sheet of paper into squares with an area of 12 square inches. For the best approximation, the length of inches. If each side were exactly...
- Q Which of the deals shown has the lesser unit price?Deal 1: 9 pairs of shorts for $89.01 Deal 2:8 pairs of shorts for $75.92Choose the correct answer below.A. Deal 1...
- Q A 150-pound person uses 5.1 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 210...
- Q Describe the transformation of f(x) = cosx to g(x) = cosx-4A. (x) is shifted 4 units right to g(x).B.(x) is shifted 4 units left to g(x).C. (x) is shifted 4...
- Q The function h (t) = -16t(t-7) models the height of an object at any time tafter it is launched, where t is measured in seconds. After how many seconds willthe...
- Q Gaines invested $11,000 in a money market account with an interest rate of 2.25% compounded semiannually. Three years later, Karen withdrew the full amountto put toward the down payment on...
- Q You and your friend plan to meet for coffee in a town between your two towns. You both drive at a constant speed for 45 minutes, but your speed is...
- Q Suppose you take out a loan of $15,000 where interest on the loan accrues at an APR of 8.4% compounded monthly.a. If the loan is to be paid back in...
- Q Use the simple interest formula to determine the missing value.p=$1275, r=?, t=2 years, i=$30.60r= %(Do not round until the final answer. Then round to one decimal place as needed.)
- Q A certain forest covers an area of 2300 km. Suppose that each year this area decreases by 3%. What will the area be after 13 years?Use the calculator provided and...
- Q A laptop computer is purchased for $2400. After each year, the resale value decreases by 25%. What will the resale value be after 4 years?Use the calculator provided and round...
- Q A cylinder and a sphere both have the same radius, 4. The height of the cylinder is equal tothe diameter of the sphere. Select the expression that describes the volume...
- Q Your class earned $110.00 Saturday afternoon by washing cars to raise money for a class trip. This is 1/4 of the money needed for the trip. What is the total...
- Q Find the average rate of change of f(x)=x+3x+1 from x=-4 to x= 1.Simplify your answer as much as possible.
- Q At a festival, stunt devils are launched in large catapults and air cannons. On one launch, the height of the stunt devil in feet above the ground after t seconds...
- Q Jamie and Margie need to divide a couch and a hot tub. Using the Method of Sealed Bids, Jamie bids $530 on the couch and $160 on the hot tub,...
- Q Determine the total amount and the interest paid on $4000 with interest compounded monthly for 5 years ata) 2%.b) 4%.c) 8%.d) Is there a predictable outcome in either the amount...
- Q If a ball is thrown into the air with a velocity of 46 ft/s, its height in feet t seconds later is given by y = 46t - 16t.(a) Find...
- Q Hudson is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold 3 people, and large rooms that...
- Q A photographer points a camera at a window in a nearby building forming an angle of 42 with the camera platform. If the camera is 52 m from the building,...
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