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Eve said to Adam, "If you give me one dollar, then we will have the same amount of money." Adam then replied, "Eve, if you give me one dollar I will have double the amount of money you are left with." How much does each have?
The current in a circuit is i = 2.00 cos 100t. Find the voltage across a 100-microfarad(uF) capacitor after 0.200 s, if the initial voltage is Zero (one microfarad(uF)=10 to the power of -6 F).
Show that if R and S are commutative rings with 1, phi:R-->S is a homomorphism of R onto S, and I is an ideal of R, then phi[I]={phi(r): r included in I} is an ideal of S.
Student arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take on average 10 minutes to be processed.
The size of a certain bacteria culture doubles each hour. If the number of bacteria present initially is 3000, how many would be present at the end of 6 hours?
Use the Midpoint Rule, with n=4, to approximate the area of the region bounded by f (x)=x^3 -8x^2+16x and the x-axis between x=0 and x=4. Round answer to two decimal places.
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 large cube is 2 feet on each edge. How many cubes - one inch on each edge- will it take to fill the large cube? If the base of a triangle is increased by 20% and the altitude to that base is decreased by 40% then by what percent is the area chang..
What is the nullity of the transformation of TsubA? What is the rank of the Transformation TsubA.
Evaluate the Area of under one arch of a cycloid using its integration
Find the number of committees from the given information - How many 5 card poker hands can be performed from a deck of 52 cards?
Control A certain machine that is used to manufacture screws produces a defect rate of .01. A random sample of 20 screws is selected.
Permutation and combination
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