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A wheel of radius 2 feet begins moving down a ramp of height 6 and length 24 feet , turning at 23 revolutions per minute clockwise as it does. At time t = 0 the point P on the wheel is at [0, 6], the topmost point of the ramp. The path followed by center as the wheel moves is given parametrically by ( 8.127446808 t+0.4850712500, ) At time t=1/2 minutes the coordinates of the point P are ( 3.1110, ) Note: at time t=0 x-coordinate of the center of the wheel is NOT 0.
find the maximum possible area of a trapezoid inscribed in a semicircle of radius 1.
What is the probability that x=5
It is known that 20% of old cars cannot pass the emission test . Four old cars are selected randomly . x is the number of card in the sample that cannot pass the emission test.
A manufacture has been selling 1950 television sets a week at $480 each. A market survey indicates that for each $10 rebate offered to a buyer, the number of sets sold will increase by 100 per week.
Suppose a corporation wants a large picture to hang in its lobby in a space that is 90 ft.². What should be the dimensions of this picture if it is in the shape of a Golden Rectangle?
for a product-testing focus group, a company selects 10 men and 10 women at random from a population that has approximately equal numbers of both. Is this an example of a cluster sample?
The cost C to produce x number of tennis rackets is C=160+12x. The tennis rackets are sold wholesale for $17 each, so revenue R is given by R=17x. Find how many tennis rackets the manufacturer needs to produce and sell to break even.
At a certain rate of simple interest $1,000 will accumulate to $1110 after a certain period of time. Find the accumulated value of $500 at a rate of simple interest three fourths as great over twice as long a period of time.
Consider the function f(X)=ln(x^2+1). Calculate the slope of the tangent line at the point (2,ln(5)) to two decimal places.
Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the 14.6-hour-per-week benchmark reported by BusinessWeek.
A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P? (Round your answ..
Is empty set a symmetric relation? Prove or disprove.
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