How does the speed of light change as the index of refraction increases?

Suppose you own a fuel-efficient hybrid automobile with a monitor on the dashboard that displays the mileage and gas consumption. The number of miles you can drive with g gallons of gas remaining in the tank on a particular stretch of highway is given by $m(g) - 50g - 25.8 g ^ { 2 } + 12.5 g ^ { 3 } - 1.6 g ^ { 4 }$, for $0 \leq g \leq 4$. Graph and interpret dm/dg.

Write the expression in exponential form.

eight squared

A 2.4-m-diameter tank is initially filled with water 4 m above the center of a sharp-edged 10-cm-diameter orifice. The tank water surface is open to the atmosphere, and the orifice drains to the atmosphere. Neglecting the effect of the kinetic energy correction factor, calculate (a) the initial velocity from the tank and (b) the time required to empty the tank. Does the loss coefficient of the orifice cause a signifi­cant increase in the draining time of the tank?

An orifice meter is to be installed in a $12$-in ductile iron pipe carrying water at $60^{\circ} \mathrm{F}$. A mercury manometer is to be used to measure the pressure difference across the orifice when the expected range of the flow rate is from $1500\ \mathrm{gal} / \mathrm{min}$ to $4000\ \mathrm{gal} / \mathrm{min}$. The manometer scale ranges from 0 to $12.0$ in of mercury. Find the appropriate diameter of the orifice.

Approximate the local maximum values and local minimum values of $f(x)=x^{3}-5 x+1$ on (-4, 4). Determine where the function is increasing and where it is decreasing.

Why is it important for a manager to receive frequent feedback on his or her performance?

What economic issues and problems does Greece face?

Intercalated discs and pacemaker cells are characteristic of (a) smooth muscle tissue. (b) cardiac muscle tissue. (c) skeletal muscle tissue. (d) a, b, and c are correct.

Consider the controlled experiment described below.

Mr. Johnson wants to determine what the condition of his deck would be if he did not continue to reapply wood sealant to it once every spring to protect it. So, he conducts an experiment. This spring, he uses the sealant on the entire deck except for one board. He then observes how exposure to the weather affects that board in relation to the rest of the deck.

Lindsay claims that, in the experiment, the part of the deck of which the sealant is applied corresponds to the treatment group because that is the part that is actually 'treated', Riley claims that the single board corresponds to the treatment group. Which person is correct? Explain your reasoning.

List the advantages of using prices to distribute economic products.

Determine whether the given orthogonal matrix is the standard matrix of a rotation or of a reflection. If the operator is a rotation, determine the angle of rotation. If the operator is a reflection, determine the equation of the line of reflection.

$$\begin{equation*} \dfrac{1}{2}\begin{bmatrix}\sqrt{3}&&-1\\1&&\sqrt{3}\end{bmatrix} \end{equation*}$$

Find $f^{\prime}(0), f^{\prime \prime}(0)$, and determine whether f has a local minimum, local maximum, or neither at x=0.$f(x)=x^{3}-x^{2}+x-1$

Refer to the data in the table below.

A special problem arises for the nutrient alcohol consumption. There are often a large number of nondrinkers (alcohol consumption $=0$ ) and another large group of drinkers (alcohol consumption $>0$ ). The overall distribution of alcohol consumption appears bimodal. Plot the distribution of alcohol consumption for both the diet record and the food frequency questionnaire. Do the distributions appear unimodal or bimodal? Do you think the normality assumption is appropriate for this nutrient?