Use a calculator to rewrite the rational number as the ratio of two integers. $−7.5$

Complete the sentence in a way (hat shows you understand the meaning of the italicized vocabulary word. Gloria secretly begrudged her friend...

The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Decide which, if any, are exponential, and give the exponential models for those that are.

$$\begin{matrix} \text{x} & \text{-2} & \text{-1} & \text{0} & \text{1} & \text{2}\\ \text{f(x)} & \text{0.5} & \text{1.5} & \text{4.5} & \text{13.5} & \text{40.5}\\ \text{g(x)} & \text{8} & \text{4} & \text{2} & \text{1} & \text{}{\frac{1}{2}}\\ \end{matrix}$$

A car has a circular turning radius of 16.1 ft. the distance between the two front tires is 4.7 ft. How much farther does a tire on the outside of the turn travel than a tire on the inside?

Write the logarithmic equation in exponential form, or write the exponential equation in logarithmic form. $e^{3.2}=24.532$

The viewing window in a diving suit has an area of roughly $65 \mathrm{cm}^{2}$. a) If an attempt were made to maintain the pressure on the inside of the suit at 1 atm, what force $\left(\mathrm{N} \text { and } \mathrm{lb}_{\mathrm{f}}\right)$ would the window have to withstand if the diver descended to a depth of 150 m. Take the specific gravity of the water to be 1.05. b) Repeat the calculation of Part (a) for the deepest Guiness-verified SCUBA dive.

Find the solution for the equation. $6 b = 54$

The velocity of an ant running along the edge of a shelf is modeled by the function

$$v ( t ) = \left\{ \begin{array} { r l } { 5 t , } & { 0 \leq t < 1 } \\ { 6 \sqrt { t } - \frac { 1 } { t } , } & { 1 \leq t \leq 2 } \end{array} \right.$$

where t is in seconds and v is in centimeters per second. Estimate the time at which the ant is 4 cm from its starting position.

Consider a simple ideal Rankine cycle with fixed turbine inlet conditions. What is the effect of lowering the condenser pressure on

$$\begin{array}{ll} \text{Pump work input:} & \text{(a) increases, (b) decreases, (c) remains the same}\\ \text{Turbine work output:} & \text{(a) increases, (b) decreases, (c) remains the same}\\ \text{Heat supplied:} & \text{(a) increases, (b) decreases, (c) remains the same}\\ \text{Cycle efficiency:} & \text{(a) increases, (b) decreases, (c) remains the same}\\ \text{Moisture content at} & \text{(a) increases, (b) decreases, (c) remains the same}\\ \text{turbine exit:} & \text{ }\\ \end{array}$$

Simplify each expression. Use properties and combine like terms. 4c + 5cd - 4 (c + d)

Determine whether the number is divisible by each of the following numbers: 2, 3, 4, 5, 6, 8, 9, 10, and 12. If you are using a calculator, explain the divisibility shown by your calculator using one of the rules of divisibility.

$$238,632$$

What is the damping factor of the function $f(x)=e^{2 x} \sin x ?$

What is the sum of two complementary angles in degrees? in radians?

Find the exact value of each expression. $\sin \frac{\pi}{18} \cos \frac{5 \pi}{18}+\cos \frac{\pi}{18} \sin \frac{5 \pi}{18}$