Hello!
1.
You have to add all the numbers up in the venn diagram to get how many people participated
18 + 11 + 24 + 8 + 7 + 1 + 17 = 86
The answer is 86 people
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2.
To find how many people like country you add all the numbers in the country circle
8 + 7 + 1 + 17 = 33
The answer is 33 people
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3.
To find how many people likes only country music you look at the number that is only in the country circle
The answer is 17 people
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4.
To find how many people like rap and country you add the numbers that are in both of the circles
1 + 7 = 8
The answer is 8 people
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5.
To find the amount of people that liked rap and country but not rock you look at the number in only the rap and country circle
The answer is 1 person
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6.
To find how many people liked rock or rap you add all the numbers in those circles
18 + 7 + 11 + 24 = 60
The answer is 60 people
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Hope this helps!
Hi there!

To find the indefinite integral, we must integrate by parts.
Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":
u = 4x
du = 4
dv = cos(2 - 3x)
v = 1/3sin(2 - 3x)
Write into the format:
∫udv = uv - ∫vdu
Thus, utilize the solved for expressions above:
4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx
Simplify:
-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx
Integrate the integral:
∫4/3(sin(2 - 3x)dx
u = 2 - 3x
du = -3dx ⇒ -1/3du = dx
-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C
Combine:

Answer:
7x - 9
Step-by-step explanation:
1: Multiply the numbers
4 - 3 x 2 + 2x + 5x - 7
4 - 6 + 2x + 5x - 7
2: Add the numbers
4 - 6 + 2x + 5x - 7
-9 + 2x + 5x
3: Combine like terms
-9 + 2x + 5x
-9 + 7x
4: Rearange terms
-9 + 7x
7x - 9
Solution
7x - 9
Can i be brainliest
6.08*10^5
hope this helps u out :D
<span>a) f(n) is the number of students in your calculus class whose birthday is on the nth day of the year.
f(n) is not invertible because several different days, n, may have the same number of students, f(n). Then for one specific f(n) you cannot determine a unique n.
b) f(x) is the volume in litters of x kilograms of water at 4 degrees celsius.?
f(x) is invertible because each x gives a different f(x), then you can determine unambiguously which f(x) corresponds to each x.
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