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Bond [772]
3 years ago
14

Suppose 22 % of students chose to study German their sophomore year, and that meant that there were 66 such students. How many s

tudents chose not to take
German their sophomore year?
Mathematics
1 answer:
charle [14.2K]3 years ago
4 0

Answer:

If 66 is 22%, that means that the remaining 78% is 234 students. So 234 students chose not to take German their sophomore year. hope this helps :))))

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Evaluate the integral. (remember to use absolute values where appropriate. Use c for the constant of integration.) 5 cot5(θ) sin
ozzi

I=5\int \frac{cos^{4}\theta }{sin\theta }\times cos\theta d\theta \\\\I=5\int \left ( 1-sin^{2}\theta  \right )^{2}\times \frac{cos\theta }{sin\theta }d\theta \\put\ \sin\theta =t\\\\dt=cos\theta d\theta \\\\I=5\int\frac{t^{4}+1-2t^{2}}{t}dt\ \ \ \ \ \ \ \ \ \ \because (a-b)^2=a^2+b^2-2ab\\\\I=5\left ( \int t^{3}dt + \int \frac{1}{t} -2\int t \right )dt

by using the integration formula

we get,

\\I=5\left ( \frac{t^{4}}{4} +logt -t^{2}\right )\\\\I=\frac{5}{4}t^{4}+5\log t-5t^{2}+c

now put the value of t=\sin\theta in the above equation

we get,

\int 5\cot^5\theta \sin^4\theta d\theta=\frac{5}{4}sin^{4}\theta+5\log \sin\theta - 5sin^{2} \theta+c

hence proved

7 0
2 years ago
What's 16/34 in its lowest term?
nikklg [1K]
I think it is 8/17...
hope this helps!
5 0
3 years ago
Read 2 more answers
How to solve 3(x+1)=5(x-2)+7
igor_vitrenko [27]
So first do 3(x+1) which is 3x+3 because you have to multiply the outside number by the stuff in side the parentheses. Then you do the 5(x-2)+7 and it should be 5x-10+7 so now your equation should be 3x+3=5x-10+7 now subtract the 3x from the 5x and now your equation should look like this: 3=2x-10+7. Then you add the 10 and the 7 so now your equation should look like this: 3=2x-3 because it's a -10 and a positive 7 it would be -3. So then you have to add the -3( which now becomes positive to the other 3 in front of the = sign. So now your equation should look like this: 6=2x. Now divide by 2 to get x by its self and now your answer should be 3=x or x=3.
7 0
3 years ago
Whats is the 39th triangular number
aleksandr82 [10.1K]

Answer:

The 39th triangle number is 780

7 0
2 years ago
Find the sum.<br> 2(-5y+6)+(2y-8)
kotegsom [21]

Answer: I am just hoping that this is the correct answer

Step-by-step explanation:

2(-6 + -5y) + (2y + -8) = 0

(-6 * 2 + -5y * 2) + (2y + -8) = 0

(-12 + -10y) + (2y + -8) = 0

Reorder the terms:

-12 + -10y + (-8 + 2y) = 0

Remove parenthesis around (-8 + 2y)

-12 + -10y + -8 + 2y = 0

Reorder the terms:

-12 + -8 + -10y + 2y = 0

Combine like terms: -12 + -8 = -20

-20 + -10y + 2y = 0

Combine like terms: -10y + 2y = -8y

-20 + -8y = 0

Solving

-20 + -8y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '20' to each side of the equation.

-20 + 20 + -8y = 0 + 20

Combine like terms: -20 + 20 = 0

0 + -8y = 0 + 20

-8y = 0 + 20

Combine like terms: 0 + 20 = 20

-8y = 20

Divide each side by '-8'.

y = -2.5

Simplifying

y = -2.5

4 0
2 years ago
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