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Mamont248 [21]
3 years ago
6

Robert threw a rock off a bridge into the river. The distance from the rock to the river is modeled by the equation h=-16ť – 16t

+ 60, where h is the height in feet and t is the time in seconds. Find how long it took the rock to enter the water.​
Mathematics
1 answer:
cluponka [151]3 years ago
8 0

Answer:

1.5 seconds

Step-by-step explanation:

h=-16t² – 16t+ 60

When the rock enter the water, the height is 0. ... h=0

0 = -16t² – 16t+ 60 = -4 * (4t² - 4t +15) = -4* (2t - 3) (2t +5)

2t-3=0   or 2t+5 = 0

t = 3/2  or t = -5/2   (time can't be negative)

t = 3/2   or 1.5

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4 0
4 years ago
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Can anybody please help solving this problem?
pantera1 [17]
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</span>
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7 0
4 years ago
Find the distributive property to factor out the greatest common factor of 55 + 35​
Ad libitum [116K]

Answer:

<h2>5(11 + 7)</h2>

Step-by-step explanation:

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35 = 5 · 7

GCF(55, 35) = 5

The distributive property <em>a(b + c) = ab + ac</em>

Therefore

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8 0
3 years ago
A bucket always contains two balls. Ball colors are red and blue. Each stage in a process consists of two steps: selection and r
KonstantinChe [14]

Answer:

Probability that the fifth ball selected is red = 0.705

Step-by-step explanation:

Let

X_{n} = Number of red balls after the 4th turn

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Then,

P = \left[\begin{array}{ccc}0.8&0.2&0\\0.1&0.8&0.1\\0&0.2&0.8\end{array}\right]

⇒P^{4} = \left[\begin{array}{ccc}0.487&0.435&0.776\\0.218&0.565&0.218\\0.776&0.435&0.487\end{array}\right]

Now,

P(5th ball is red | X_{0} = 2 ) = 0. P^{4} _{20} + \frac{1}{2}P^{4} _{21} + 1. P^{4} _{22}

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                                        = 0.705

∴ we get

Probability that the fifth ball selected is red = 0.705

6 0
3 years ago
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