Turpentine at $77^{\circ} \mathrm{F}$ is flowing from $\mathrm{A}$ to $\mathrm{B}$ in a $3$ -in coated ductile iron pipe. Point $\mathrm{B}$ is $20\ \mathrm{ft}$ higher than point $\mathrm{A}$ and the total length of the pipe is $60\ \mathrm{ft}$. Two $90^{\circ}$ long-radius clbows are installed between $\mathrm{A}$ and $\mathrm{B}$. Determine the volume flow rate of turpentine if the pressure at $\mathrm{A}$ is $120$ psig and the pressure at $B$ is $105$ psig.

How many neutrons are in an atom with each set of atomic numbers and mass numbers?

Find all solutions of the equation

$$y y^{\prime \prime}-2\left(y^{\prime}\right)^{2}=0$$

that pass through the point x=1, y=1.

a. List and briefly describe three major parts of the lithosphere.
b. Which layer serves as the main storehouse of chemical resources used in manufacturing consumer products ?

Calculate the amount concentration of the cations in the following solutions:

(a) $0.5 \mathrm{~mol} / \mathrm{L}$ sodium carbonate, $\mathrm{Na}_2 \mathrm{CO}_3$

(b) $0.2 \mathrm{~mol} / \mathrm{L}$ ammonium sulfite, $\left(\mathrm{NH}_4\right)_2 \mathrm{SO}_3$

(c) $1.5 \mathrm{molL}$ iron(III) sulfate, $\mathrm{Fe}_2\left(\mathrm{SO}_4\right)_3$

Suppose that a linear transformation T satisfies

$$T\left(\mathbf{u}_{1}\right)=\left[\begin{array}{l} 2 \\ 1 \end{array}\right], \ T\left(\mathbf{u}_{2}\right)=\left[\begin{array}{r} -3 \\ 2 \end{array}\right]$$

Find $T\left(-2 \mathbf{u}_{1}+3 \mathbf{u}_{2}\right)$

Personal consumption expenditures (in billions of dollars) for several types of recreation from 2012 through 2017 are shown in the table, where $x$ is the expenditures on amusement parks and campgrounds, $y$ is the expenditures on live entertainment (excluding sports), and $z$ is the expenditures on spectator sports.

A model for the data is given by

z = 0.54x - 0.6y + 11.98

Find $\frac{\partial z}{\partial x}$ and $\frac{\partial z}{\partial y}$.

Express the answers to the following calculations in scientific notation: a.) $0.0095 + \left(8.5 \times 10^{-3}\right)$ b.) $653 / \left(5.75 \times 10^{-8}\right)$ c.) $850,000 - \left(9.0 \times 10^5\right)$ d.) $\left(3.6 \times 10^{-4}\right) \times \left(3.6 \times 10^6\right)$

Humid air at $75 \mathrm{~psia}$ and $500^{\circ} \mathrm{F}$ and a humidity ratio of $0.018 \mathrm{~lbm} \mathrm{H}_{2} \mathrm{O} / \mathrm{lbm}$ dry air is expanded to $15 \mathrm{~psia}$ in an isentropic nozzle. How much of the initial water vapor has been converted to liquid water at the nozzle outlet?

The italicized portion of each sentence below contains some flaw. Select the answer that best corrects the flaw.

Our boss called a meeting in relation to the sales project.

A. a meeting about

B. a discussion session in relation to

C. to tell us to meet to talk about

D. a meeting, which was on the topic of

Plain water penetrates dry, clay-laden soil poorly. When sprinkled on such soil, the water forms beads and will not seep into cracks. Imagine that you are a researcher at a company that makes lawn and garden supplies. You want to create a product that can be applied to lawns with dry clay soils. Your goal is for water that is sprinkled on the soil to mix with the product and, as a result, create a solution that more readily

(a) What property of water must your product affect? Explain your thinking.

(b) What substance might you consider as the main ingredients for your product? Explain your choice.

(c) What would you have to find through research or experimentation to be sure that your product will be effective, safe, and environmentally friendly?

Express the answers to these operations in scientific notation:
(a) $0.0095+\left(8.5 \times 10^{-3}\right)$
(b) $653 \div\left(5.75 \times 10^{-8}\right)$
(c) $850,000-\left(9.0 \times 10^5\right)$
(d) $\left(3.6 \times 10^{-4}\right) \times\left(3.6 \times 10^6\right)$

Do you think one person tan make a difference when it comes to saving earth's resources? Explain.

a) Find pairs of equivalent ratios:

$$\begin{array}{ll}2: 3: 4 & 9: 12: 15 \\ 8: 5: 4 & 1: 2: 3 \\ 3: 2: 1 & 16: 10: 8 \\ 3: 6: 9 & 6: 9: 12 \\ 5: 8: 4 & 3: 4: 5\end{array}$$

b) Explain how you know they are equivalent.