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2 years ago

What is the solution to 2x-8 <12

Mathematics

1 answer:

Nookie1986 [14]2 years ago

4 0

Step-by-step explanation:

2x-8<12

+8<+8

2x<20

$\frac{2x}{2} \frac{20}{2}$

x<10

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Please help, test due in 30 minutes! I will give brainliest.

Tema [17]

Answer:

b. 460 cubic cm

Step-by-step explanation:

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2 years ago

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4. a) A ping pong ball has a 75% rebound ratio. When you drop it from a height of k feet, it bounces and bounces endlessly. If t

Klio2033 [76]

First part of question:

Find the general term that represents the situation in terms of k.

The general term for geometric series is:

$a_{n}=a_{1}r^{n-1}$

$a_{1}$ = the first term of the series

$r$ = the geometric ratio

$a_{1}$ would represent the height at which the ball is first dropped. Therefore:

$a_{1} = k$

We also know that the ball has a rebound ratio of 75%, meaning that the ball only bounces 75% of its original height every time it bounces. This appears to be our geometric ratio. Therefore:

$r=\frac{3}{4}$

Our general term would be:

$a_{n}=a_{1}r^{n-1}$

$a_{n}=k(\frac{3}{4}) ^{n-1}$

Second part of question:

If the ball dropped from a height of 235ft, determine the highest height achieved by the ball after six bounces.

$k$ represents the initial height:

$k = 235\ ft$

$n$ represents the number of times the ball bounces:

$n = 6$

Plugging this back into our general term of the geometric series:

$a_{n}=k(\frac{3}{4}) ^{n-1}$

$a_{n}=235(\frac{3}{4}) ^{6-1}$

$a_{n}=235(\frac{3}{4}) ^{5}$

$a_{n}=55.8\ ft$

$a_{n}$ represents the highest height of the ball after 6 bounces.

Third part of question:

If the ball dropped from a height of 235ft, find the total distance traveled by the ball when it strikes the ground for the 12th time. 

This would be easier to solve if we have a general term for the <em>sum </em>of a geometric series, which is:

$S_{n}=\frac{a_{1}(1-r^{n})}{1-r}$

We already know these variables:

$a_{1}= k = 235\ ft$

$r=\frac{3}{4}$

$n = 12$

Therefore:

$S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{1-\frac{3}{4} }$

$S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{\frac{1}{4} }$

$S_{n}=(4)(235)(1-\frac{3}{4} ^{12})$

$S_{n}=910.22\ ft$

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2 years ago

Find the quotient of 88 and 11

True [87]

Quotient would be 8 because 88 divided by 11 is 8.

hope this helped :D

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3 years ago

Perform the following division. Round the answer to three decimal places. 126.4 ÷ 1.7 =

kherson [118]

I am assuming that you are supposed to answer this division problem through the long division method. So my answer is going to be a step-by-step description of the long division solution for this problem.

The first step is to move the decimal point of the dividend and the divisor. Hence, 1264.0 and 17. The decimal point of the quotient shall then be written in alignment with the decimal point of the dividend.

Then we proceed with the division process, 126/17 gives us 7 (write this above the division bar). 7 multiplied by 17 gives 119 (write this under the divisor). So 126-119 is equal to 7. We then bring down the digit after 126 of the divisor, which is 4. So we now have 74. 74 divided by 17, we get 4. 4 multiplied by 17 gives 68. We subtract 68 from 74 and we have 6, bring down 0, we have 60. We then repeat the division-multiplication-subtraction process until we get to the third decimal place of the quotient.

Finally, the answer is 74.352.

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Is it A, B, or C? PLEASE HELP

Zanzabum

Step-by-step explanation:

y = kx, where k is the constant of proportionality. (1)

Therefore y = x and line B depicts that.

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2 years ago

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What is the solution to 2x-8 <12​

What is the solution to 2x-8 <12