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If 80% of the 35 boys have been members for more than 2 years, that means that there are 35 * .8= 28 boys. If 25% of the 28 girls have been members for more then 2 years, that means that there are 28 * .25= 7 girls. So 28+7= 35 kids out of the 35+28= 63 kids have been members for more than 2 years. 35/63= 55 5/9%.

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Thanks so much! This one was correct! Thank you :)

Well... you can always use a calculator...

From x + 3y = -5, y = -x/3 - 5, so the slope of the line is -1/3. The slope of the new line is also -1/3, so y = -x/3 + B.  Pugging in x = 2 and y = -7, we get -7 = -2/3 + B, so B = -19/3.

Then the line is y = -x/3 - 19/3.  Then 3y = -x - 19, so 3y + x = -19.  We want the right-hand side to be 3, so we mutiply both sides by -3/19: -9/19*y - 3/19*x = 3.  Therefore, A + B = -9/19 - 3/19 = -12/19.

How to find the arc:

(Diameter*pi)/2

You can actually get a close estimate on 1/4 of pi.

Assuming we use 3.14 as pi, and 1/4 of pi means 1/4 * 3.14:

1/4 * 3.14 = 0.785.

So a simple answer is 0.785...

(it goes longer, but thats a simple answer.)

Thank you so much!!!

You are missing some information. The arc length requires at least a number to start calculations. The diagrams lacks numbers, but the arc length in the diagram is the radius of the semicircle multiplied by pi. 

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27,216

I am so sorry but I have absolute no idea

I assume you mean "Pi" the mathematical term. Since pi is irrational, one-fourth pi is simply \(pi \over 4\). 

Pi is 3.1415926535...so on and so forth never repeating so you cannot divide by four and get a simple answer.

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Did your answer come with a solution?

The center of the circle is (0, 2.25). 

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The answer was 108

thanks

The line and circle are tangent when k= 2.

That is incorrect, when k=1, the line and circle intersect meaning the line is NOT tangent to the circle.

Rip I'm too slow 

The first digit has 8 choices, the second digit has 9 choices because you can't repeat digits but you can use 1 or 0 now, the third digit has 8 choice, the fourth digit has 7 choices, and the last digit has 6 choices. So 8*9*8*7*6= 24192 five-digit codes.

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If the first digit cannot be a 0 or 1 then there are 10-2=8 choices for the first digit. The next digit has 10-1=9 digits because we cannot include the number that is the first digit. The third digit thus has 10-2=8 choices, the fourth has 7, and the 5th digit has 6 choices. We multiply this to get 24192 codes.

There are 8 possibilities for the first, 9 for the second, 8 for the third, 7 for the fourth and 6 for the last. Multiplying we get 24192.

XY+YX=77 and XY-YX=45 assuming XY>YX. Don't confuse that XY means X*Y but it means a two-digit integer XY. The numbers 16 and 61 fit these conditions where 61+16= 77 and 61-16= 45.

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Set up the equation 1,750*(100%-10%)^11 years= 549 cheetahs.

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Edit: Wrong Answer

f(1)= -1 and f(1000)= -3. The sum of the terms is equal to the average multiplied by the number of terms, so 1000(-1+-3)/2= -2000.

*Check me if I'm wrong

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