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The time, T, in seconds required for a pendulum of length L feet to make one swing is given by How long is a pendulum (to the nearest hundredth of a foot) if it makes one swing in 2 seconds?
Use truth tables to prove that an implication is always equivalent to its contrapositive. Site an example where this is so. Use truth tables to prove that an implication may not be equivalent to its converse. Site an example where this is so.
the cost of laying pipe is $400,000/km to run pipe over land to a point P on the north bank of the river and then $800,000/km to run pipe under the river to the tanks. where should the point P be located?
A manufacturer has been selling flashlights at $6 apiece, and at this price, consumers have been buying 3,000/month. The manufacturer wishes to increase the price & estimates that for every $1 he raises the price, 1,000 fewer flashlights will be s..
Mrs.perrin,the school music teacher,spent twice as much money on sheet music as she did on cds. The total amount of money that she spent for sheet music and cds was one third of her monthly music budget of $189. How much money did Mrs.perrin spend..
Find the distance from the origin to the line passing through the point P(3,1,5) and having the direction vector v=2i-j+k.
a car is traveling along a straight level road at 45 mph (66 ft/s). when the driver is forced to apply the breakes to avoid accident. if the breakes supplied a constant deacceleration of 22 ft/s^2. how far does the car travel before coming to a co..
the vertices of the trapezoid are the origin along with A(4m,4n),B(4q,4n) and c(4P,0) find the midpoint of the midsegment of the trapezoid.
A trough is to be made with an end of the dimensions shown. The length of the trough is to be 21ft long. Only the angle theta can be varied. What value of theta will maximize the trough's volume?
Graph each absolute value function and state its domain and range.
An open box is to be made from a square piece of sheet metal, 20 inches on a side, by cutting out squares of equal size from the four corners and bending up the sides. Find the maximum volume that the box can have.
Let the sum from n=m to infinity of a_n be a series of real numbers converging to x, and let k be an integer. Then the sum from n=m+k to infinity of a_n-k also converges to x.
The probability P, If the random variable z is the standard normal score, is it true that P(-1
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