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An accepted relationship between stopping distance, d in feet, and the speed of a car, in mph, is d(v)=1.3v + o.o4 v2 on dry, level concrete.
a) How many feet will it take a car traveling 50 mph to stop on dry, level concrete?
b) If an accident occurs 200 feet ahead, what is the maximum speed at which one can travel to avoid being involved in the accident?
An anchor weighing 70 lb in water is attached to a chain weighing 4 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 45 ft.
How much money (total) do you have after the 5 years pass and how much do you earn in interest over the 5 years?
If you were to let A be a 6 x 14 matrix where the dimension of the row space is 3 (dim(R(A) = 3), what would the dimension of the null space of matrix A (dim(N(A)) be and what would the dimension of the null space of A^T (dim(N(A^T)) be?
Ramona is counting the posts between mile markers on the highway. In 1 mile, she counts 33 posts if the posts are evenly spaced, how many feet apart are they?
If the local professional basket ball team, the sneakers, wins today's game, they have a 2/3 chance of winning their next game. If they lose this game, they have 1/2 chance of winning their next game.
Find the Net Present Value Rounded to two decimal places
a paper cup is to be constructed in the shape of a right circular cone. if the volume desired is 36pie in^3, find the dimensions that require the least amount of paper. (disregard any waste that may occur in construction).
Find the equation of the tangent plane to the central conicoid x2 - 4y2 + 3z2 + 2 = 0 at the point (1,2,0). Find whether the plane 2x + 3y + 2z =3 touches the central conicoid 2x2 + 3y2 + z2 = 1 or not.
A certain bacteria population is known to triple every 90 minutes. Suppose that there are initially 140 bacteria.
Please explain the steps and solution. Find an equation of the line tangent to the curve defined by the equation at the specified point:
A rancher wants to fence in 3 adjacent rectangular pens in a row. Adjacent pens share one fence, and all pens are of equal size. If the rancher uses 144 yards of fencing, find the maximum total area he can enclose.
An anchor weighing 105 lb in water is attached to a chain weighing 2 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 30 ft.
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