If you would like to simplify <span>7 - 3[(n^3 + 8n) / (-n) + 9n^2], you can do this using the following steps:
</span>7 - 3[(n^3 + 8n) / (-n) + 9n^2] = 7 - 3[(-n^2 - 8) + 9n^2] = 7 - 3[-n^2 - 8 + 9n^2] = 7 - 3[ - 8 + 8n^2] = 7 - 3[8<span>n^2 - 8] = 7 - 24n^2 + 24 = - 24n^2 + 31
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The correct result would be <span>- 24n^2 + 31.</span>
<span>There’s a spinner with 8 sections in total with different colors. 2 red, 2 green, 2 yellow, and 2 blue.
To find the probability of the spinner landing on any color, simply take
(number of color)/(total)
To find the probability of landing on red, there are 2 reds, and 8 total. So,
2/8 = 1/4
To find the probability of landing on blue, there are 2 blues, and 8 total. So, 2/8 = 1/4. The same as before.
Flipping a coin gives a 50/50 or equal chance between two events. We should pick the answer that has only two events. That would be a true/false test since there are only two choices in this situation.</span>
Step-by-step explanation:
You need to use trigonometric stuff here. Since you're given the hypotenuse and an angle you can plug that right into an equation.
Recall that sin is opposite over hypotenuse and cos is adjacent over hypotenuse.

Now that you know the opposite side (DC) you can use tan, too, but I'm going to use cos.

This is the adjacent side (BC). I put it in its exact value, but in decimal form it's ≈12.124.
Now you can do the perimeter:

Your answer is the 38.2
<h3>
Answers: 100 girls and 25 boys</h3>
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Explanation:
x = number of boys
The ratio of girls to boys is 4:1, meaning there are 4 times as many girls compared to boys. For example, the concert may have 40 girls and 10 boys.
For now, x is some unknown positive whole number. But we can say that 4x represents the number of girls, as we multiply by 4.
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We're told there are 75 more girls than boys, so,
number of girls = (number of boys) + 75
4x = x + 75
4x-x = 75
3x = 75
x = 75/3
x = 25
There are 25 boys and 4x = 4*25 = 100 girls.
We can see that 100-25 = 75 to show that there are 75 more girls compared to boys.
And also, the ratio 100:25 reduces fully to 4:1 after dividing both parts by the GCF 25. These two facts fully confirm the answers.
Answer:
39
Step-by-step explanation:
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