The first step in solving this problem is to recognize that the average will be equivalent to the volume divided by the number of oxygen molecules. Set up the fraction and solve, keeping in mind that when you divide exponential values with the same base you subtract the exponents:

\(\frac{6\times 10^{14}}{3\times 10^{7}}=2\times 10^{7}\)

The best way to solve this problem is to use the process of elimination.

Remember that you are looking for the answer that is NOT true! First, determine the common difference of the sequence: 16+(−5) = 11; 11+(−5) = 6; 6+(−5) = 1.

The common difference is −5, so eliminate answer choice D.

Now, consider each of the remaining answer choices:

Answer choice A: The common difference is −5, so the fifth term is 1 + (−5) = −4; eliminate answer choice A.

Answer choice B: The sum of the first five terms is 16 + 11 + 6 + 1 + −4 = 30; eliminate answer choice B.

Answer choice C: If the fifth term is −4, the sixth term is −4 + (−5) = −9, and the seventh term is −9 + (−5) = −14.

Answer choice C is correct because it is NOT true.

The first step in solving this problem is to calculate the length of the hypotenuse.

If you recognize that this is a special triangle, you know that the hypotenuse is 5.

You could also let the answer choices guide you,since they each include some combination of 3, 4, and 5.

Otherwise, use the Pythagorean theorem, as follows:

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

25 = c²

c = 5

Next, recall that cosine is equal to the length of the adjacent side over the length of the hypotenuse.

Therefore, cos ∠Z is ³⁄₅.

To find the point of intersection, set the equations equal to each other: 2x² + 6 = −4x² + m. Add 4x² to both sides: 6x² + 6 = m.

Since the x-coordinate of the point of intersection is √5, then 6(√5)² + 6 = m and m = 36.

Inequalities can be solved like equations, by isolating the variable on one side.

Remember, though, that when you multiply an inequality by a negative number, you must reverse the sign:

3x − 6 > 6x + 9

−3x > 15

x < −5

Because the entire value 4x⁴ is being raised to the 4th power, you must multiply the exponents: 4 × 4 = 16, so (x4)⁴ = x¹⁶.

Therefore, you can eliminate answer choices A, B, and D.

Next, you must raise 4 to the 4th power: 4⁴ = 256, and the correct answer is 256x¹⁶.

To solve this problem, first calculate the total measure of all the angles.

The first triangle is a right triangle, which means that a + b = 90°.

The sum of the interior angles of any triangle is 180°, so c + d + e = 180°.

The total measure of the angles, then, is 90° + 180°, or 270°.

Calculate the average: 270° ÷ 5 = 54°.

To solve this problem, first calculate the total number of touchdowns as follows:

2 games with 0 touchdowns = 0 touchdowns

3 games with 1 touchdown = 3 touchdowns

3 games with 2 touchdowns = 6 touchdowns

5 games with 3 touchdowns = 15 touchdowns

2 games with 4 touchdowns = 8 touchdowns

1 games with 5 touchdowns = 5 touchdowns

0 + 3 + 6 + 15 + 8 + 5 = 37 touchdowns

Now, calculate the average number of touchdowns per game.

You are given that there were 16 games,

so the average is 37÷16 = 2.3125, rounded to the nearest tenth is 2.3.

To solve this problem, substitute the given values into the function as follows:

f (x) = 3x + 5 and g(x) = x² − x + 7

Therefore, f (g(x)) = f (x2 − x + 7). Substitute x² − x + 7 for x and solve:

f (g(x)) = 3(x² − x + 7) + 5 = 3x² − 3x + 21 + 5 = 3x² − 3x + 26

To solve this problem, substitute the given values into the formula as follows:

S = 2πr² + 2πrh

= 2π(1)² + 2π(1)(3)

= 8π