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Karo-lina-s [1.5K]
3 years ago
11

Help please that would really mean a lot

Mathematics
1 answer:
OleMash [197]3 years ago
6 0
It’s hard to see your picture. Can you make it clearer?
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Helpity help??????????????????????????????
Nuetrik [128]
Answer:
Equation: 8=4b
b=2
Explanation:
The green line equals 8 and the black time equals 2b+2b. So to form an equation where the green line equals the black line it would look like: 8=2b+2b
8 being the green line
2b+2b being the black line
Then the directions tell us to combine like terms, like terms are terms that are the same such as 2b in this problem, and to combine them means to add them together.
So, 2b+2b= 4b
So the answer is, 8= 4b

In order to solve this equation divide both sides by 4.
Which leaves you with: 8/4= b
Now solve 8/4:
Which gives you:
b=2
5 0
3 years ago
6383 to the nearest hundred<br>​
olasank [31]

Answer:

6400

Step-by-step explanation:

its 6400 to the nearest hundred

3 0
3 years ago
Read 2 more answers
3(x-10) = 3x - 30 is an example of what property?​
strojnjashka [21]

Answer:

Distributive Property

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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

8 0
3 years ago
Which is the better unit to use to measure the capacity of a bathtub. milliliters or liters?
Lana71 [14]
Liters is the best. A bathtub can hold a lot of water.
3 0
3 years ago
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