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The cost of manufacturing toothbrushes is 0.4 cents per brush. The cost of manufacturing dental floss is 0.5 cents per roll. Assume that if toothbrushes are sold at x cents each and dental floss is sold at y 50000 70000 cents per roll, then the demand function is for toothbrushes and for xy xy dental floss. What are the selling prices that correspond to maximum profit?
The parabola y= x^2+4 has two tangents which pass through the point (0,-2). One is tangent to the parabola at (a, a^2+4) and the other at (-a, a^2+4) where a is a certain positive number. The question is a=?
Kernel of phi, Let phi is a homomorphism from Z30 onto a group order 3
An aquarium has a slate bottom that costs 8 cents/sq inch and glass sides which cost 1 cent/sq inch. The aquarium is to have a volume of 1024 cubic inches.
Consider the following relation R on the set of positive integers: R = {(x,y)|x and y have the same prime divisors}
(a) How many square inches in area is the aluminum plate (the shaded region)? (b) if the cost to construct the plate is $6.50 per square inch, what is the construction cost?
If a ball is thrown straight up into the air with an initial velocity of 45 ft/s, it height in feet after t second is given by y=45t-16t2. Find the average velocity for the time period begining when t=2 and lasting.
You walk 99 yards due south, then 121 yards due west, and then 22 yards due north.
Probability of drawing the following card. One card is drawn from an ordinary deck of 52 cards. Find the probability of drawing the following card
What is the composition in mole fractions of a solution that has a vapor pressure of 37 torr at 20 ^circ {rm C}?
she suggests building fences described by y=4x2 and y=x2+5. Farmer Jones thinks this would be much harder than just building an enclosure with straight sides, but he wants to please his wife. What is the area of the enclosed region?
a farmer has 400 feet of fence with which to fence a rectangular plot of land. the plot lies along a river so that only three sides need to be fenced. estimate the largest area that can be fenced.
Find the solution to the given system that satisfies the initial condition
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