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1. a) Suppose that a is a natural number and that a2 is divisible by 3, show that a is divisible by 3. (Hint: show that if a is not divisible by 3, then neither is a2.)
b.) Show that sqrt(3) is not rational.
A salt-water mixture is being added to a tank at 4 L/min. The tank mixture is being drained at 4 L/min. Find the formula for x(t), the number of kg of salt in the tank at time t.
Please provide a step by step explanation about how to compute total number of ways in which 3 different colored bottles could be arranged in a line out ot a total of 9 bottles.
write an exponential fuction of the form y=ab^x that has a graph through the given points (-2,2/25)(1,10)
Three town, A, B and C lie on a straight road in that order. The distance from b to c is 6 miles more than twice the distance from A to B. The distance from A to C is two miles more than 4 times the distance from A to B. What is the distance from ..
If an equation is symmetric with respect to both the x-axis and the y-axis, will it automatically be symmetric to the origin?
Suppose that G is a directed graph with no circuits. Describe how depth-first search can be used to carry out a topological sort of the vertices of G.
Suppose that it is a presidential election year and Ohio is one of the "swing" states. Your polling company wants to conduct a presidential preference poll of the citizens of Ohio to predict which candidate will win the election.
How fast is the height of the pile increasing when the pile is 19 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by.
The length of a rectangular garden is 8 feet longer than its width. If the garden's perimeter is 208 feet, what is the area of the garden in square feet?
the value of a graphing calculator is $225. after 2 years.the value of this calculator is $160. find the value of the calculator after 5 years.
Please answer Part 2 explaining part 2 You mentioned that looking at the p-values for each independent variable is necessary to see if they are significant, how would you determine their significance by looking at each of these values?
Suppose you wanted to have exactly $20000 in your savings account after 48 months at an annual interest rate of 3.25% compounded monthly and you made an initial deposit of $1800. What would your monthly savings have to be (how much would you have to ..
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