In the United States, the birthrate B of unmarried women (births per 1000 unmarried women) for women whose age is a is modeled by the function $B(a)=-0.27 a^{2}+14.23 a-120.16.$ (a) What is the age of unmarried women with the highest birthrate? (b) What is the highest birthrate of unmarried women? (c) Evaluate and interpret B(40).

In the United States, the birthrate $B$ for unmarried women (births per 1000 unmarried women) whose age is $a$ is modeled by the function $B(a)=-0.30 a^2+16.26 a-158.90$. Evaluate and interpret $B(40)$.

Display a matrix A and an echelon form of A. Find bases for Col A and Nul A, and then state the dimensions of these subspaces.

$$A=\left[ \begin{array}{rrrr}{1} & {-3} & {2} & {-4} \\ {-3} & {9} & {-1} & {5} \\ {2} & {-6} & {4} & {-3} \\ {-4} & {12} & {2} & {7}\end{array}\right] \sim \left[ \begin{array}{rrrr}{1} & {-3} & {2} & {-4} \\ {0} & {0} & {5} & {-7} \\ {0} & {0} & {0} & {5} \\ {0} & {0} & {0} & {0}\end{array}\right]$$

A gas at a specified stagnation temperature and pressure is accelerated to $M_a = 2$ in a converging–diverging nozzle and to $M_a = 3$ in another nozzle. What can you say about the pressures at the threats of these two nozzles?

The benefits of retaining a core competency within a company and purposefully threading that core competency through the value chain are referred to as ________ advantages.

A) internalization

B) domestic

C) location

D) ownership

A core competency

A) defines mass customization.

B) is one of Porter’s competitive forces.

C) is another way to describe benchmarking.

D) is an activity for which a firm is a world-class leader.

Which of the following is not a primary activity in a firm value chain?

A. outbound logistics

B. finance/accounting

C. operations

D. after-sales service

Which of the following is a primary activity in the value chain?

A) infrastructure

B) technology

C) purchasing

D) marketing and sales

Use a truth table to prove the identity $A B C+A B C^{-}+A B^{-} C^{-}+A B^{-} C=A$

The motor of a table saw is rotating at 3450 rev/min. A pulley attached to the motor shaft drives a second pulley of half the diameter by means of a V-belt. A circular saw blade of diameter 0.208 m is mounted on the same rotating shaft as the second pulley. (a) The operator is careless and the blade catches and throws back a small piece of wood. This piece of wood moves with linear speed equal to the tangential speed of the rim of the blade. What is this speed? (b) Calculate the radial acceleration of points on the outer edge of the blade to see why sawdust doesn’t stick to its teeth.

Use the definition of the Laplace transform to find $\mathcal L \left\{ f(t) \right\}$ if

$$f(t)=\left\{\begin{array}{ll}{2-t,} & {0<t<2} \\ {0,} & {t>2}\end{array}\right.$$

Describe the benefits of physical activity for three different body systems.

For each sequence find $\frac { a _ { 2 } } { a _ { 1 } } , \frac { a _ { 3 } } { a _ { 2 } } , \frac { a _ { 4 } } { a _ { 3 } } ,$ and $\frac { a _ { 5 } } { a _ { 4 } }$ 3, 6, 12, 24, 48.

Describe the changes in elastic potential energy and kinetic energy that occur when a mass vibrates on a spring.