Assume that the two points P(1,5) and Q(-2,3) are given. What are the coordinates of the midpoint of the line segment joining P and Q?


Mathematics

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Evaluate the integral.

A.
B.
C.
D.

Mathematics

Solve the problem.The volume of a sphere is given by . A certain sphere has the property that . Find r.

A. 1.44 B. 1.46 C. 1.50 D. 1.48

Mathematics

Provide an appropriate response.The price charged for 2 different CDs at two different stores can be represented by the matrix  The quantities of each CD sold at each store can be represented by the matrix  Show that the transpose of the income generated (PQ)T is equal to the product of the transposes of P and Q in reverse order, QTPT.

What will be an ideal response?

Mathematics

Find the equilibrium amount of Tc-GSA in the blood and liver.

Let’s suppose 2.5 mg of glactosyl human serum (Tc-GSA) is injected into the bloodstream. Let B and L be the amount of Tc-GSA in the blood and liver, respectively. The quantities B and L are related by:



At equilibrium, the quantities B and L are constant.

Mathematics