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Two roads meet perpendicularly at an intersection. A truck is driving south towards the intersection at 20 meters per second. A car has already passed througth the intersection, and is driving east away from the intersection at 10 meters per second. At the instant when the truck is 30 meters from the intersection and the car is 40 meters past the intersection, find the rate of change of the distance between the two vehicles. Are they getting further apart or closer together?
A committee consists of 8 married couples. In how many ways can a subcommitee of 5 people be chosen so that at most one married couple
a manager of a small store wanted to discourage shoplifters by putting signs around the store saying shoplifting is a
the following data were collected on the study of the relationship between a companys retail sales and advertising
Forces of 4 N and 6 N act on an object. What is the minimum value for the sum of these two forces?
A gardener wants to create a rectangular garden with length of 9x - 5y ft. and width of x - 6y ft. What is an algebraic expression for the area of the garden? Be sure to multiply this out, express in simplest correct mathematical form, and include..
On a level track the car can just go round a bend (radius=80m) at 20ms^-1. At what angle must the tracked be banked so a speed of 30ms^-1 is reached (coefficient of friction being the same)?
Construct a scatter plot. Use the least-squares method to determine the regression coefficients b0 and b1
Also, suppose the obstruction is a square, 1m on a side, and is parallel to the screen. Express the area of the shadow as a function of the distance from the light to the obstruction.
solving differential equations with initial conditionshow much would it cost to solve this onesuppose organisms grow in
find two other pairs of polar coordinates of the given polar coordinate, one with r > 0 and one with r
Describe how to calculate the odds against an event happening when you know the probability of the event occuring. Use a numerical example to illustrate your explanation.
Given 2 variable of initial value of Pint*Vint obtain final value of Pfinal*Vfinal after undergo an infinitesimal changes.
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