To answer this question we will have to keep the following two points in mind:
#1. The <u>sum</u> of a number with another number means to <u>add </u>the given two numbers.
#2.<u> Twice</u> means to <u>multiply by 2.</u> In other words it means to double.
Therefore, "twice the sum" would mean to multiply the sum by 2.
Now, in our question we will have, "the sum of y and 9 would be: and twice this sum would be:
Thus, "twice the sum of y and 9" is:
Answer:
∫ =
Step-by-step explanation:
To find:
∫
Solution:
Method of substitution:
Let
Differentiate both sides with respect to
[use ]
So,
∫ = ∫ = where is a variable.
(Use ∫ )
Put
∫ =
Use
So,
∫ =
where
Without using substitution:
∫ = ∫ =
So, same answer is obtained in both the cases.
We can start by saying that since f and g are parallel, and that a line cuts through them, 3x+6x+45=180. This is due to the consecutive interior angles theorem, which states that if two parallel lines are cut by a transversal (another line), the interior angles the form from it (the angles between the parallel lines) are supplementary, or add up to 180 degrees. Therefore, we have 9x+45=180. Subtracting 45 from both sides using the subtraction property of equality, we get that 9x=135. Next, we can divide both sides by 9 to isolate x, resulting in x=15.
Feel free to ask further questions!
Answer:
The height increase by
20/49π when pile is 14ft high
Step by step Explanation
Given:
rate of 20 ft3/min
To asolve this quest we will be using the volume of a cone then find the partial derivative
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION