Calculate the pH of each of the following solutions. $0.40\ M\ \mathrm { NH } _ { 4 } \mathrm { ClO } _ { 4 }$

(a) Identify at least three events that cause the Friar's scheme to fail. (b) Analyze: Why is it not surprising that the scheme fails?

Cindi is designing rafters for a house. The rise of the rafter will be 5ft and the run 12ft. How long is the rafter length?

What is the $\mathrm{pH}$ of a buffer solution that is $0.10 M$ propionic acid and $0.20 \mathrm{M}$ sodium propionate?

Determine the pH of each of the following solutions. a.

$$1.0 \times 10 ^ { - 2 } \mathrm { M } \mathrm { HCl }$$

, b.

$$1.0 \times 10 ^ { - 3 } \mathrm { M } \mathrm { HNO } _ { 3 }$$

, c.

$$1.0 \times 10 ^ { - 5 } \mathrm { M } \mathrm { HI }$$

, d.

$$1.0 \times 10 ^ { - 4 } \mathrm { M } \mathrm { HBr }$$

Determine the $K_\text a$ of an acid whose $0.294\ \mathrm M$ solution has a $\mathrm{pH}$ of $2.80$.

Underline the word in parentheses that best completes each sentence. Juan is the best person to (raise, rise) the issue.

Each table models a direct variation. Determine the constant of variation.

Calculate the pH of each of the following buffered solutions. 0.25 M acetic acid/0.10 M sodium acetate

A car is coasting down a hill at a constant speed. A truck collides with the rear of the car, causing it to lurch ahead. Graph the car’s speed from a time shortly before impact to a time shortly after impact. Graph the distance from the top of the hill for this time period. What can you say about the continuity of each of these functions?

Explain why the scientific notation is used.

The cumulative sales S (in thousands of units) of a new product after it has been on the market for t years are modeled by

$$S=30\left(1-3^{k t}\right) \text {. }$$

During the first year, 5000 units were sold. What is the saturation point for this product?

Three radon isotopes have $125,134,$ and $136$ neutrons. Write the symbol for each.

In an Over & Back race of 40-m total distance, Rabbit's speeds are 5 m/s over and 10 m/s back. Turtle's speed both ways is 6 m/s.

a. Who will be ahead 1.5 s after the race starts and by how much?

b. Who will be ahead 5.5 s after the race starts and by how much? Can you tell when and where Rabbit catches up with Turtle?

c. Who wins the race and by how much time? How many meters is the loser behind when the race is over?

d. Would your answers to parts (b) and (c) change if Rabbit's speeds were reversed: 10 mis over and 5 mis back? (Turtle's speed stays at 6 mis each way.)