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The formula for the volume of a cone is given below. Find the rate of change of the volume for each of the radii given below if dr/dt is 9 inches per minute and h = 24r.V = (1/3)πr2ha) r = 5 in (b) r = 17 in
General
4 months ago
The formula for finding the distance traveled, based on speed and time, is D=RTD=RT , whereD is distanceR is rate (speed) T is timeUnits must be consistent. If the unit for D is miles and the unit for T is minutes, what must the units for R be? Solve this formula for R.R = If a bicyclist rides for 160 minutes at an average speed of 17 miles per hour, how far was the ride, to 1 decimal place? miles.At what speed must a bicyclist ride to cover 12 miles in 1.5 hours, to 1 decimal place? miles/hour.
General
4 months ago
Find the slope-intercept equation for the line with the indicated slope and y-intercept. Slope-3; y-intercept (0,31)
General
4 months ago
Select the equation that has a constant of proportionality:A. 16 + x = yB. 16x =yC. 16x -11 = yD. 16x + 15 = y
General
4 months ago
A random sample of n measurements was selected from a population with unknown mean mu and standard deviation sigmaequals50 for each of the situations in parts a through d. Calculate a 95% confidence interval for mu for each of these situations. a. nequals40, x overbarequals42 b. nequals300, x overbarequals123 c. nequals155, x overbarequals20 d. nequals155, x overbarequals3.14 e. Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts a through d? Explain.
General
4 months ago
Suppose a sample of 2329 tenth graders is drawn. Of the students sampled, 489 read at or below the eighth grade level. Using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. Enter your answer as a fraction or a decimal number rounded to three decimal places. .Using the data, construct the 98% 98% confidence interval for the population proportion of tenth graders reading at or below the eighth grade levelupper end point:lower endpoint:
General
4 months ago
The frame of a bridge is constructed of triangles, as shown below.A large triangle is made up of 4 smaller triangles within the larger triangle. Vertical line T U cuts the large triangle in half. Lines U S and U V are diagonal from point U and go up to each side. Angle S U T is 45 degrees and angle T V U is 98 degrees. Line segment T V is 20 feet and line segment S U is 14 feet.What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply. UV = 14 ft and m∠TUV = 45°TU = 26 ftm∠STU = 37° and m∠VTU = 37°ST = 20 ft, UV = 14 ft, and m∠UST = 98°m∠UST = 98° and m ∠TUV = 45°
General
4 months ago
The histogram shows the number of cell phone calls received by Medera, a middle school student, one Saturday from 10 a.m. to 10 p.m. m Which statement most reasonably explains the hours when zero calls were received? Medera turned the phone off while playing in a soccer game. Medera’s phone can only receive 22 calls a day. Medera only receives calls in clusters. Medera lost her phone for two hours.
General
4 months ago
A student would like to find the height of a statue. The length of the statue's right arm is 33 feet. The student's right arm is 2 feet long and her height is 5 ⅓feet. Use this information to find the height of the statue. How close is the approximate height to the statue's actual height of 88 feet, 2 inches from heel to top of head?
General
4 months ago
At 82°F, a certain insect chirps at a rate of 61 times per minute, and at 91°F, they chirp 124 times per minute. Write an equation in slope-intercept form that represents the situation.
General
4 months ago
Find the area of a regular pentagon with apothem length of about 10.3 meters. Round to the nearest tenth if necessary.Options:77.3 units2386.3 units2154.5 units2772.5 units2
General
4 months ago
The dealership main office floor is in the shape of a rectangle with a perimeter of 202 feet. The length is 1 foot more than 3 times the width. What is the length and width of the main office floor?
General
4 months ago
A company plans to manufacture a rectangular bin with a square base, an open top, and a volume of 13,500 in3. Determine the dimensions of the bin that will minimize the surface area. What is the minimum surface area? Enter only the minimum surface area, and do not include units in your answer.
General
4 months ago
If f(x)=3 x -1 and g(x)=0.03x^3-x+1 an approximate solution for the equation f(x)=g(x) is
General
4 months ago
A grinding wheel is in the form of a uniform solid disk of radius 7.05 cm and mass 2.10 kg. It starts from rest and accelerates uniformly under the action of the constant torque of 0.595 N · m that the motor exerts on the wheel. (a) How long does the wheel take to reach its final operating speed of 1 160 rev/min? 1.07 Correct: Your answer is correct. s (b) Through how many revolutions does it turn while accelerating?
General
4 months ago
The length of each edge of a cube is decreased by 40 percent By what percent does the volume of the cube decrease? Express your answer to the nearest tenth.
General
4 months ago
The lengths of three sides of a triangle are m units, n units, and p units, respectively. Which inequality must be true?A) m > n + p B) n < m + p C) p > m + n D) p < m – n
General
4 months ago
The manager of a shopping mall distributed a customer-satisfaction survey by handing it to people as they came through one of the doors to the mall one day. Of those handed out, 215 were completed and returned. Should the results of the survey be generalized to the population of all customers of the shopping mall?
General
4 months ago
The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.2 miles per gallon. (a) What proportion of hybrids gets over 60 miles per gallon? (b) What proportion of hybrids gets 52 miles per gallon or less? (c )What proportion of hybrids gets between 57 and 62 miles per gallon? (d) What is the probability that a randomly selected hybrid gets less than 45 miles per gallon?
General
4 months ago
There are 100 members in the U.S senate. There are 435 members in the U.S house of representatives. If the total number of U.S senators divisible by 2,3,4,5,6,9, or 10?
General
4 months ago
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