16 to both sides! How you get this is that you take the middle number, which is 8, divide it by 2, and square it. 8 divided by 2 is 4, and 4 squared is 16. :)
2x+2(3x-2)+4-2(3x+8)
According to PEMDAS Parentheses Exponents Multiplication Division Addition Subtract, you must do the numbers in the parentheses.
2x+2(3x-2)+4-2(3x+8)
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2x+6-4+4-6x+16
Since there are no exponents, multiplication, and addition we do subtracting and adding. Which ever comes first in the equation.
2x+6-4+4-6x+16
Subtract the variables.
2x -6x = -4x
-4x+6-4+4+16
We cannot add variables and numbers together.
6-4=2
2+4=6
6+16=22
22 is a positive number so the answer is...
-4x+22
Hope it helps!
Present age of Dianna is 45 years old
<em><u>Solution:</u></em>
Let "x" be the present age of Dianna
Given that, In 3 years, Dianna will be 4 times as old as she was 33 years ago
Then: In three years time Diana’s age would be x + 3
And: thirty three years ago it would have been x - 33
From given question,
x + 3 = 4 times as old as she was 33 years ago
x + 3 = 4(x - 33)
x + 3 = 4x - 132
x - 4x = -132 - 3
-3x = -135
x = 45
Thus present age of Dianna is 45 years old
Consider the top half of a sphere centered at the origin with radius
, which can be described by the equation
and consider a plane
with
. Call the region between the two surfaces
. The volume of
is given by the triple integral
Converting to polar coordinates will help make this computation easier. Set
Now, the volume can be computed with the integral
You should get