Three people toss a fair coin and the odd one pays for coffee. if the coins all turn up the same, they are tossed again. find th

Answer:

According to my cupcake recipe, it yields $12$ cupcakes and calls for $1\frac{1}{2}$ sticks of butter. I can only purchase whole sticks of butter.

Consequently, a single whole stick of butter will suffice to prepare $100$ cupcakes.

Answer:

- 8

Step-by-step explanation:

Given the expression

(3x² - 5)(4 + 4x²)

Each term from the second factor is multiplied by every term in the first factor, meaning

3x²(4 + 4x²) - 5(4 + 4x²) ← distribute both parentheses

= 12x² + 12 - 20 - 20x² ← combine like terms

= 12 - 8x² - 20

The coefficient for the x² term is - 8

Let x denote the radius of the cylinder. Given that its height is double the radius, the cylinder's height equals 2x. To compute the volume, we apply the appropriate formula. By substituting r = x and h = 2x, we can derive that the volume equals 2πx³ in cubic units. Hence, option b is the correct choice.