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Find the digits a and b such that the six-digit number 543ab2 is divisible by 42. (Do not use a calculator for this problem, and be sure to explain how you found your solution.)
Let N be a three-digit number whose digits are all distinct. There are nine two-digit numbers that can be formed using the digits of N. Assume that N is the sum of all nine of these two-digit numbers. Find all possible values of N.
The distance traveled by an object moving in a straight line is given by s=t^2-8t, where s is in feet and t is the time in seconds the object has been in motion. How long ( to the nearest tenth)
The braking distance y in feet that it takes the car to stop on wet, level pavement can be estimated by y=1/16x^2, where x is the speed of the car in miles per hour. Find the speed associated with the braking distance of 169 feet.
Explain how you would use probability, statistics and geometry in the computer forensics field, give one example of each to illustrate the concept.
A 13-foot ladder is leaning against a house. The distance from the bottom of the ladder to the house is 7 feet less than the distance from the top of the ladder to the ground. How far is the bottom of the ladder from the house?
State whether each of the following fraction is a terminating or repeating decimal. If the decimal terminates, state the number of decimal places and show how you decided.
The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than 200 units of component3 can be sold, but up to 1000 units of each of the other components can be sold.
At what points of the curve x = a(t - sint), y = a(1 -cost), z = 4acos(t/2) does the radius of curvature take its local maximum?
Of the first 90 customers, 44 selected chicken, 23 selected roast beef, 13 select steak, and 10 selected fish. Should the manager revise his estimates? Use = 0.01.
Probability Based on Random Selection, One box is chosen at random and a drawer is opened from that box. If it contains a gold coin, find the probability that it is in Box I.
From this sample she found that the average height was 4.5 meters with a standard deviation of 0.4 meters. Assume that the distribution of the heights of these trees are not strongly skewed and do not have any outliers.
If A and B are subsets of a group G, define AB = {ab | a 2 A, b 2 B}. Now suppose phi: G -> G0 is a homomorphism of groups and N = Ker(phi) is its kernel.
find the fraction interms of lcm using given fraction.find the fraction in terms of lcm x 1 x2nbsp- x x x 6x -
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