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the base of a cylindrical water tank has an area of 28 feet. when the tank is full it hold 140 feet of water. what is the hight of the tank?
Determine the exact value of cos (α - β)- terminal side in the second quadrant
suppose for a certain company C(x)=25 x+300,000 represents the total cost function and R(x)=75x represents the total revenue function. Find the total-profit function and break even.
ased upon statistical studies it has been found that 3.32% of all births in the United States will result in twins being born. If 17,300 births are selected at random what is the probability that: Find the Probability of Twin Births
A nontrivial graph G is called prime if G = G_1 x G_2 implies that G_1 or G_2 is trivial. Show that if a connected graph G has a vertex which is not in a cycle of length four, then G is prime.
The force exerted by the wind on the sails of a sailboat is Fsail = 340 N north. The water exerts a force of Fkeel = 150 N east. If the boat (including its crew) has a mass of 320 kg, what are the magnitude and direction of its acceleration?
An executive invests $28,000, some at 6% and some at 5% annual interest. If he receives an annual return of $1540, how much is invested at each rate.
A 6-bit DAC has an input 1001012 and uses a 10.0-V reference.
Sung rented a truck for one day. There was a base fee of $16.95 , and there was an additional charge of 89 cents for each mile driven. Sung had to pay $151.34 when he returned the truck. For how many miles did he drive the truck?
Write a compound inequality to describe tha range of possible measures for side c in terms of a and b.
Suppose that an object is projected in such a way that its height above the ground in feet after t seconds is given by s(t) = -16t2 +48t + 46. Find the maximum height of the object.
Prove that there exists only one 4-regular maximal planar graph. Can you explain it step by step? Draw the graph please.
A firm has an opportunity to invest $80000 today that will yield $92000 in one year. if the interest rates are 5% what is the net present value (NPV0 of this interest?
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