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Archimedes principal of buoancy states that an object submerged in a fluid is buoyed up by a force equal to the weight of the fluid the object displaces.
A rectangular box 1foot X 2 feet X 3 feet and weighing 384 lbs. is dropped into a 100 foot deep freshwater lake (density 62.4 lbs/cubic foot). The box immediately begins to sink. The drag due to the water is 1/2 the velocity.
Calculate the following:
a) the terminal velocity
b) the velocity when the box reaches the bottom
In a bag there are 2 red, 3 yellow, 4 green, and 6 blue marbles. What is the probability of P (yellow or green)? Choose the best answer from the options below
alculate the ninety-nine percent confidence interval find the mean gasoline mileage for 2006 cars when horsepower is 220.
Let f:R->R be a function that satisfies f(x+y) = f(x)+f(y) for all x,y in R. Suppose that f is continuous on R and that f(1)=k. Prove that f(x)=kx for all x in R.
An airline has 15 flights from city A to city B and eight flights from city B to city C. In how many ways can you fly from city A to city B.
A company makes two soft drinks A and B. Each liter of A requires 4 hours processing and 4 hours distillation while each liter of B requires 5 hours processing and 3 hours distillation.
Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire functi..
Population growth rate
Matrix Representation of a Linear Transformation, For the problem, refer to the linear transformation T
Mary is taking courses in both Reading and English. She estimates her probability of passing Reading of 0.4 and English at 0.6 and she estimates her probability of passing at least one of them at 0.8.
State whether it is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.
Solve the following system of linear inequalities by graphing.
Wing has different books to arrange on a shelf: 4 blue, 3 green, and 2 red. In how many ways can the books be arranged on a shelf? If books of the same color are to be grouped together, how many arrangements are possible?
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