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A woman walks due west on the deck of an ocean liner at 7 mph. The ocean liner is moving due north at a speed of 23 mph. Find the speed and direction of the woman relative to the surface of the water.
find the quadratic equation that represents the monthly value of a share of ACME Corporation since January 2009. Use the variable x to represent the number of months after January 2009 and the variable y to represent the monthly value.
how to find the sum of each series?
On average 12 people every half hour check in at Counter A at the Qantas domestic terminal at Terminal 2 at Sydney airport. The people arrive at the counter randomly and independently.
Describe an approach to teaching the base-ten place-value system that incorporates the use of fractions and percentages. For example, consider how you could show your students single popsicle sticks, popsicle sticks bundled in tens, popsicle stick..
A market research organization has found that 40 percent of all supermarket shoppers refuse to cooperate when questioned by its pollsters. If 1,000 shoppers are approached, Find the probability that fewer than 500 will refuse to cooperate?
A graph is outerplanar if it can be embedded in the plane so that every vertex lies on the boundary of the exterior region. Prove the following:
a carpenter used 30 ft of trim to finish 3 sides of the opening for a garage door. If the side paralle to the ground is 9 ft longer than either of the other two sides, then what are the dimensions of the doorway?
A uniform boom AC, 4m long and weighing 50 N is smoothly hinged at C and is supported at A by a rope AB. Find the tension in the rope and the size and direction of the reaction at C.
Show that the positive integers less than 11, except 1 and 10, can be split into pairs of integers such that each pair consists of integers that are inverses of each other modulo 11.
Calculate the surface area of an unopened steel can that has a height of 5cm and a radius of 7cm.
To prove that the minimal spanning tree in graph is unique and Decide whether you think the claim is true or false and give a proof of either the claim or its negation.
A 28-year-old man pays $157 for a one-year life insurance policy with coverage of $140,000. If the probability that he will live through the year is 0.9994, what is the expected value for the insurance policy?
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