Let T: ℝm → ℝn and S: ℝn → ℝp be linear transformations. Then S ∘ T: ℝm → ℝp is a linear transformation. Moreover, their standard matrices are related by [S ∘ T] = [S][T]. Verify the theorem above by finding the matrix of S ∘ T by direct substitution and by matrix multiplication of [S][T]. T x1 x2 = x2 −x1 , S y1 y2 = y1 + 5y2 2y1 + y2 y1 − y2

Which point lies on a circle with a radius of 5 units and center at p(6, 1)?

The table below shows the height of a ball  x  seconds after being kicked.  what values, rounded to the nearest whole number, complete the quadratic regression equation that models the data? f(x)  =  x2  +  x  +  0based on the regression equation and rounded to the nearest whole number, what is the estimated height after 0.25 seconds?   feet

Write an introductory paragraph for this corrie ten boom and her family were faced with some difficult choices after hitler came to power. some family members paid the ultimate price. write a carefully thought-out paper of at least 200 words dealing with the following concepts: --how should a christian act when evil is in power? --what do you think it would be like to live in an occupied country? remember to proofread anything you write thoroughly.