A radiation thermometer is a radiometer calibrated to indicate the temperature of a blackbody. A steel billet having a diffuse, gray surface of emissivity 0.8 is heated in a furnace whose walls are at 1500 K. Estimate the temperature of the billet when the radiation thermometer viewing the billet through a small hole in the furnace indicates 1160 K.

Identify the symmetries of the curves. Then sketch the curves in the xy-plane.

$$r = \sin ( \theta / 2 )$$

Determine whether the situation could be represented by a one-to-one function. If so, write a statement that describes the inverse function. The population p of a town in terms of the year t from 2005 through 2015 given that the population was greatest in 2012

17, Focus at (3, 0); vertex at (5, 0)

Factor the polynomial completely.

$$3 r ^ { 6 } - 11 r ^ { 5 } - 20 r ^ { 4 }$$

Insert the correct mathematical operations $(+,-,\cdot,\div)$ to turn the expression below into the equation:

$$27~~ \square~~ 3~~ \square ~~5~~ \square ~~2~~ = ~~19$$

For each function, find the percent increase or decrease that the function models. $y=16\left(\frac{1}{4}\right)^{x}$

Determine whether the statement is true or false. Justify your answer. Simple harmonic motion does not involve a damping factor.

For the decision algorithms in this exercise, find how many outcomes are possible.

$$\begin{matrix} \text{Step 1:} & \text{Step 2:}\\ \text{Alternative 1: 1 outcome} & \text{Alternative 1: 2 outcomes}\\ \text{Alternative 2: 2 outcomes} & \text{Alternative 2: 2 outcomes}\\ & \text{Alternative 3: 1 outcome}\\ \end{matrix}$$

An observed frequency distribution is as follows:

$$\begin{matrix} \text{Number of successes} & \text{0} & \text{1} & \text{2} & \text{3}\\ \text{Frequency} & \text{89} & \text{133} & \text{52} & \text{26}\\ \end{matrix}$$

Use a 0.05 significance level to test the claim that the observed frequencies fit a binomial distribution for which n=3 and p=1/3.

Each dimension of a rectangular prism is tripled. How does the surface area of the new rectangular prism compare to the original surface area? A. The new surface area is 12 times as great. B. The new surface area is 9 times as great. C. The new surface area is 6 times as great. D. The new surface area is 3 times as great.

Identify the type I error and the type II error that correspond to the given hypothesis. The proportion of car crashes occurring less than a mile from home is 0.23.

Explain why the base b in $y=\log _{b} x$ cannot equal 1.

Write on equation of the direct variation that includes the given point. (2, 2)