A chilled-water heat-exchange unit is designed to cool $5 \mathrm{~m}^{3} / \mathrm{s}$ of air at $100 \mathrm{~kPa}$ and $30^{\circ} \mathrm{C}$ to $100 \mathrm{~kPa}$ and $18^{\circ} \mathrm{C}$ by using water at $8^{\circ} \mathrm{C}$. Find the maximum water outlet temperature when the mass flow rate of the water is $2 \mathrm{~kg} / \mathrm{s}$.

The distance a car travels, d(t) at a constant 60 mph is given by the function d(t)=60t, where t is the time in hours. Find the distance traveled in (a) 3 hours. (b) 7 hours.

A mountain bike tire has a diameter of 26 inches. To the nearest foot, how far does the tire travel when it makes 32 revolutions?

What mass of copper (in g) will form when $125.0 \mathrm{~mL}$ of $0.0455 \mathrm{M} \mathrm{CuSO}_4$ reacts with excess aluminum?

$$2 \mathrm{Al}(s)+3 \mathrm{CuSO}_4(a q) \longrightarrow 3 \mathrm{Cu}(s)+\mathrm{Al}_2\left(\mathrm{SO}_4\right)_3(a q)$$

When making a location decision at the country level, which of these would be considered?

A) corporate desires

B) land/construction costs

C) air, rail, highway, and waterway systems

D) zoning restrictions

E) location of markets

Graph the function by creating a table of function values and plotting points. Give the domain and range of the function.

$$f ( x ) = x ^ { 2 } - 4$$

True or False. Sensory neurons are sometimes called afferent nerves.

What united the scholars of different cultures who worked in the House of Wisdom?

Assume the element of figure to be in the $y z$-plane with unit depth in the $x$-direction. Find a result similar to that of Eq. Assume gravity to be in the $z$-direction.

At the end of the year 2004 , the total reserve of a mineral was $350,000 \mathrm{~m}^3$. In the year 2005 , about $5000 \mathrm{~m}^3$ of this mineral was used. How long will the reserves last if the usage decreases each year by 4% ?

Experiments show that in a temperature field, heat flows in the direction of maximum decrease of temperature T. Find this direction in general and at the given point P. Sketch that direction at P as an arrow. T=x²+y²+4z², P:(2, -1, 2)

Find the direction cosines and angles of u, and demonstrate that the sum of the squares of the direction cosines is 1. u = -4i + 3j + 5k

Use a calculator to find each trigonometric ratio to three significant digits.

sec 15.1 deg

In the diagram, WXYZ $\sim$ MMOP.

Find the ratio of the perimeter of MNOP to the perimeter of WXYZ.