Answer:
150
Step-by-step explanation:
one third of 2700 = 900
900/2 = 450
450/3 = 150
Answer:
105/330 = 21/66 = 7/22
7/22 is the answer I think
Step-by-step explanation:
n(U) = 330
n(A) = 85
n(B) = 200
n(A n B) = 60
Now,
n(A U B) = n(A) + n(B) - n(A n B)
or, n(A U B) = 85 + 200 - 60
or, n(A U B) = 285 - 60 = 225
Now,
n(A U B) compliment = n(U) - n(A U B)
n(A U B) compliment = 330 - 225
so, n(A U B) compliment = 105
Now,
probability = 105/330
Answer:
c = -4
Step-by-step explanation:
If f(x) = 2x^3 - x + c and f(2) = 10, plug in 2 for the x values in the function and make the function output 10.
10 = 2(2^3) - 2 + c Now, we only have to deal with one variable, that is c.
10 = 2(8) - 2 + c
10 = 16 - 2 + c
10 = 14 + c
-4 = c After simplifying, we get that c is -4.
To check this, plug in 2 for x, and -4 for c in the function. If the function produces 10 as the result, the halleluja!
f(2) = 2(2^3) - 2 - 4
f(2) = 2(8) - 2 - 4
f(2) = 16 - 2 - 4
f(2) = 10
The value of given expression when m = 3 is 27
<h3><u>Solution:</u></h3>
Given expression is 
We have to evaluate the given expression for m = 3
To find for m is equal to 3, substitute m = 3 in given expression
From given expression,

Plug in m = 3 in above expression
------ eqn 1
We know that,
can be expanded as,

Applying this in eqn 1, we get

Simplify the above expression

Therefore, for m = 3 we get,

Thus value of given expression when m = 3 is found
Answer: 55
Step-by-step explanation:
![\sqrt[3]{4x-4}=6](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4x-4%7D%3D6)
Begin by cubing each side of the equation to get rid of the cubic root.
![(\sqrt[3]{4x-4})^3=(6)^3\\ 4x-4=216](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B4x-4%7D%29%5E3%3D%286%29%5E3%5C%5C%204x-4%3D216)
add 4

Divide by 4

