Basic Math question and answers for November 06, 2024
- Q A new movie theater holds 300 people. They found that when the price was $8 per ticket, theaverage sales would be 250 people per show. Each time they increase the...
- Q A population of bacteria is growing according to the equation P(t) = 1000e^0.12tGive your answer accurate to one decimal place.Use a graphing calculator to estimate when the population will exceed...
- Q A heap of rubbish in the shape of a cube is being compacted into a smaller cube. Given that the volume decreases at a rate of 4 cubic meters per...
- Q A sales representative for a company that produces toasters can sell x units of their deluxe model if the price is p = D(x) = 71.7 -0.04x dollars. The total...
- Q Find the area under the standard normal curve. Round your answers to four decimal places. Use the necessary.(a) Find the area under the standard normal curve to the right of...
- Q A rancher has 800 feet of fencing to put around a rectangular field and then subdivide the field into 3 identical smaller rectangular plots by placing two fences parallel toone...
- Q The population P of a small town, measured in hundreds, is modeled by the inverse of the function P-1(t) = 10ln(50t - 1000), where t is measured in years. Find...
- Q A bacteria culture grows with constant relative growth rate. The bacteria count was 1,920 after 4 hours and 1,966,080 after 12 hours.(a) What is the relative growth rate? Express your...
- Q Suppose that the dollar cost of producing x appliances is c(x) = 1400 + 90x-0.1x.a. Find the average cost per appliance of producing the first 110 appliances.b. Find the marginal...
- Q A rectangular solid with a square base has a volume of 1,728 cubic inches. (Let w represent the length of the sides of the square base and let h represent...
- Q The owner of a video store has determined that the profits P of the store are approximately given by P(x) = -x. +120x+67, where x is the number of videos...
- Q Find the linearization of the function f(x) =1?49 - xat the point x = 0.
- Q (a) Find the best function f(x) and value a so that the linearization of f(x) at x = a can be used to estimate ?16.3.f(x) =a =(b) Find the linearization...
- Q 54Which of the following is true about the graph of f(x) = 64x + Xa) O f(x) is concave down on the interval (0, ?).b) O f(x) has a vertical...
- Q Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)f(x) = 2x + x + 4xX =6x +...
- Q Let V represent the volume of a sphere with radius r mm. Write an equation for V (in mm) in terms of r.mm 3V(r) =Find the radius of a sphere...
- Q If the current position of the object at time t is s (t), then the position at time h later is s (t+h). The average velocity (speed) during that additional...
- Q Chase has 60 feet of Halloween lights he wants to string around the perimeter of an enclosure that he will build. It is to be rectangular with a semi-circle on...
- Q The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can be modeled by the quadratic function f(x) = -4.867x + 72.73x +97.86,...
- Q A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its open (upper) end....
- Q Let x represent the horizontal distance through which the kite is blown and let y represent the distance between the child and the kite. Write the equation that relatesthese rates.dydt
- Q The weekly sales of Honolulu Red Oranges is given by q = 960-10p. Calculate the price elasticity of demand when the price is $32 per orange (yes, $32 per oranget).Interpret...
- Q The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand pillows is approximated byP(x)= x + 12x+60x-400, x?5.Find the number of hundred thousands of pillows...
- Q The cost, in dollars, to produce x vats of ice cream is C(x) = 4x + 7. When selling them to ice cream shops, the price-demand function, in dollars per...
- Q A ball is thrown vertically upward. After t seconds, its height / (in feet) is given by the function h (t) = 961-167. What is the maximum height that the...
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