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kherson [118]
3 years ago
13

A ball is thrown from the initial height of 3 feet with an initial upward velocity of 29 feet. the ball's height h (in feet) aft

er t seconds is given to determine how long will it take for the ball to hit the ground?
Mathematics
1 answer:
AlekseyPX3 years ago
8 0

Answer:

0.64                        

Step-by-step explanation:

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3^x= 3*2^x solve this equation​
kompoz [17]

In the equation

3^x = 3\cdot 2^x

divide both sides by 2^x to get

\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3

Take the base-3/2 logarithm of both sides:

\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}

Alternatively, you can divide both sides by 3^x:

\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13

Then take the base-2/3 logarith of both sides to get

\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}

(Both answers are equivalent)

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Evaluate 3x-6y if x=2 and y=0
Archy [21]

Answer:

3×2-6×0

6-0

6 is the answer pls mark as brainliest

3 0
3 years ago
1. Shay found that she hit the bull's-eye when throwing darts 2/10 times. If she
viva [34]
<h2>Answer:</h2><h2>If she  continues to throw darts 75 more times, she could predict to hit the </h2><h2>bull's-eye 15 times.</h2>

Step-by-step explanation:

Shay found that she hit the bull's-eye when throwing darts \frac{2}{10} times = \frac{1}{5}.

In five times, she will hit the dart once.

If she  continues to throw darts 75 more times,

the probability that she will hit the bull's eye =  \frac{1}{5} (75) = 15 times.

If she  continues to throw darts 75 more times, she could predict to hit the

bull's-eye 15 times.

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