Hello There!

$8.7 * 10^{-5}$ is in standard index form.
Standard form is when it is the original number
The '-5' as a power means you need to shift the zero back 5 spaces.
Or, divide by 100,000.
If you do this, you would get 0.000087.

Thus, making it option B.

Hope This Helps You!
Good Luck :)

- Hannah ❤

6 0

2 years ago

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A quarterback throws a football to a teammate. The football is 6.5ft above the ground when it leaves the quarterback's hand. His

sergejj [24]

Answer:

y = - 16t² + 55.6t + 6

Step-by-step explanation:

Using y - y₀ = vt - 1/2gt² where g = 32 ft/s², and v the velocity of the football

So y = y₀ + vt - 1/2 × (32 ft/s²)t²

y = y₀ + vt - 16t² where y₀ = 6.5 ft

y = 6 + vt - 16t²

Now, when t = 3.5 s, that is the time the teammate catches the ball after the quarterback throws it, y = 5 ft. Substituting these into the equation, we have

5 = 6.5 + v(3.5 s) - 16(3.5 s)²

5 = 6.5 + 3.5v - 196

collecting like terms, we have

5 - 6.5 + 196 = 3.5v

194.5 = 3.5v

v = 194.5/3.5 = 55.57 ft/s ≅ 55.6 ft/s

So, substituting v into y, our quadratic model is

y = 6 + 55.6t - 16t²

re-arranging, we have

y = - 16t² + 55.6t + 6

6 0

3 years ago

To make four cakes, Dena used 6 cups of sugar. Using the same recipe, how much sugar does she need to make one cake?

Fantom [35]

1.5 cups per cup. cups/cake
6 cups/ 4 cakes
= 1.5 cups per cake

5 0

2 years ago

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