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An athlete runs a 900 meter course in 180 seconds. Find the average speed of the athlete. Round to the nearest tenth if necessary.
A linear regression model has a slope of -2.5 and an intercept of 10. The sample coefficient of determination is 0.50. What is the value of the sample correlation coefficient?
Find the equation of the tangent plane and equation of normal line of the surface x3+y3+3xyz = 3 at (1,2-3).
Find the velocity, speed and acceleration of the vector-valued function: Vector r = cost i + sint j - 16t^2 k at t=pi/4
How many grams of oxygen are in 5.89×1023 formula units of (NH4)2SO4? Express your answer to three significant figures and include the appropriate units
Maria and Thomas are part of a group of 8 women and 8 men who will participate in a chess tournament. The 16 players will be randomly paired up into groups of two.
question for each of the following constraints draw a separate graph to show the non-negative solutions that satisfy
Find an equation of the planes tangent to the following surfaces at given points, x2 - 2y2 + z2 / 4 = 3, at (√2, 0, 2). z = xy - 25 at (1, 16, -9).
Establish an equation to determine revenue.
A rectangular storage unit has dimensions 1m by 2m by 3m. If each linear dimension is increased by the same amount. What increase would result in a new storage unit with a volume 10 times the original?
For the following matrix A use Matlab to 1) calculate its eigenvalues and the corresponding eigenvectors; 2) calculate A2, AT, A-1, rref(A); and 3) calculate det(A),det(A2), det(2A)
Make an amortization schedule showing: payment number, monthly payment amount, interest paid on the outstanding balance, portion of principle paid, and outstanding (unpaid) balance.
Two identical spheres, moving in opposite directions, collide directly. As a result of the impact one of the spheres is brought to rest. The coefficient of restitution between the spheres
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