Starting with 195 grams of a radioactive isotope, how much will be left after 3 half-lives?

1 answer:

4 0

After one half-life: $\frac{1}{2}\times 195=97.5$ grams.

After two half-lives: $\frac{1}{2} \times 97.5=48.75$ grams.

After three half-lives: $\frac{1}{2} \times 48.75=24.375$ grams.

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Anna wants to factor the polynomial p(x)=5x^4+40x. She knows that the sum of cubes formula is a^3+b^3=(a+b)(a^2−ab+b^2).

Artemon [7]

Answer:

Part A: Option 2, A: Anna’s answer is incorrect. She correctly factored out 5x, but incorrectly identified a and b, so her answer cannot be correct.

Part B: Option 3, B: 5x(x+2)(x^2−2x+4)

Step-by-step explanation:

p(x) = 5x^4 + 40x

p(x) = 5x(x^3 + 8)

p(x) = 5x(x + 2)(x^2 - 2x + 4)

Part A: Option 2, A: Anna’s answer is incorrect. She correctly factored out 5x, but incorrectly identified a and b, so her answer cannot be correct.

Part B: Option 3, B: 5x(x+2)(x^2−2x+4)

7 0

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Projectile Is shot upward from the surface of Earth with an initial velocity of 136 meters per second. Use the position

Anna007 [38]

Answer:

$v(3\,s) = 106.6\,\frac{ft}{s}$ , $v(15\,s) = -11\,\frac{ft}{s}$