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1)After a boulder is pushed down a hill, its speed s(t) at time tt is given by the formula s(t)=v+at, where v is the initial velocity and a is the acceleration. If s(2)=16 and s(5)=25, find the initial velocity and acceleration.(round to the nearest tenth)
2) For a particular quadratic function f(x)=ax2+bx+c, f(-3)=-13f(-3)=-13 and f(2)=7. If a=-3, find b and c.
3)With the current, a person can canoe 24 miles in 44 hours. Against the same current, the same person can canoe 18 miles in 6 hours. Find the person's average rate in still water and the average rate of the current
Two weather tracking stations are on the equator 146 miles apart. A weather balloon is located on a bearing of N 35°E from the western station and on a bearing of N 23°E from the eastern station. How far is the balloon from the western station?
A 12-centimeter rod is held between a flashlight and a wall as shown. Find the length of the shadow on the wall if the rod is 45 cm from the wall and 15 cm from the light.
Matrix Computations and Programming in MATLAB In this laboratory session we will learn how to 1. Create and manipulate matrices and vectors.
Factoring with Two Variables Factor each polynomial.
What is the value of p-hat = percentage of ‘Yes' votes of the sample? How does it compare to 0.5 (the general belief)?
Min Z = 3x1 2x1+x2 >= 6 3x1+2x2 = 4
When a large shipment of alternators is received at the plant, 100 are tested, if more than two are nonconforming, the shipment is returned to the alternator manufacturer. What is the probability of returning a shipment?
general relation between linear algebra and abstract algebra.
find all solutions to the following equation on the interval 02picos2 cosx
calculating the height of the statue.at a point 250 feet from the base of a building the angle of elevation of the top
Each time we take a bill, we put a star in the bin. Corresponds to taking $1, $5, $20, $100, $100. How to set up the problem: This time we have 6 bars separating the bins, and since we are taking 5 bills, there will be 5 stars. How many ways are t..
If the primal problem has multiple optimal solutions (the line segment from (x,y) to (x',y')), then does this necessarily imply that the dual problem also has multiple optimal solutions as well, or is it possible that the optimal solution to th..
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