3 years ago

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Mathematics

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mote1985 [20]3 years ago

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A ball is dropped from a height of 192 inches onto a level floor. After the third bounce it is still 3 inches off the ground. Pr

ANEK [815]

Answer: The required fraction = $\dfrac18$

Step-by-step explanation:

Let the required fraction = $\dfrac{p}{q}$

Given: Initial height = 192 inches

Height of ball after second bounce = $\dfrac{p}{q}\times192$

Height of ball after third bounce = $\dfrac{p}{q}\times\dfrac{p}{q}\times192=192\dfrac{p^2}{q^2}$

After the third bounce it is 3 inches off the ground.

So,

$(\dfrac{p}{q})^2192=3\\\\\\(\dfrac{p}{q})^2=\dfrac{3}{192}\\\\(\dfrac{p}{q})^2=\dfrac{1}{64}\\\\(\dfrac{p}{q})^2=(\dfrac{1}{8})^2\\\\ \dfrac{p}{q}=\dfrac{1}{8}$

Hence, The required fraction = $\dfrac18$

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2 years ago

What are the intercepts of the line?

pochemuha

The answer is C. i hope this helps!!!

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3 years ago

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Find the greatest common factor of the following monomials 37u^3v^6 and u^6v^2

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Answer:

Step-by-step explanation:

The GCF of these monomials is : u^3v^2

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3 years ago

What is the exponential form of the logarithmic equation? 3=log0.6 0.216

tatuchka [14]

Answer:

0.216 = 0.6³

Step-by-step explanation:

using the rule of logarithms

• $log_{b}$ x = n ⇔ x = $b^{n}$

$log_{0.6}$ 0.216 = 3 ⇒ 0.216 = $0.6^{3}$

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2 years ago

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A flagpole is 10m high. It is held in position by four ropes that are each fixed to the ground, 4m away from the foot of the fla

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Answer:

10.77m

Step-by-step explanation:

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3 years ago