Answer:59
Step-by-step explanation:
negative minus negative = positive
For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:
Sometimes it helps to put a number line in front of you. If one number is to the left of the other number on the number line, it's a lower number. If one number is to the right of the other number on the number line, it is greater.
-5 -4 -3 -2 -1 0 1 2 3 4 5
4 is a solution of x<-5
FALSE: 4 is not greater than -5
-3 is a solution of y>-2
FALSE: -3 is not greater than -2
y≤3 includes 3 as a possible solution
TRUE: 3 is less than OR EQUAL to 3
Hope this helps! :)
Answer:
C. $0 because $25.36 and -$25.36 are additive inverses.
Step-by-step explanation:
Additive inverses means 2 numbers that are the complete opposite.
When additive inverses are added together, their sum is 0.
Example: 1 and -1.
They're both additive inverses because they're on the opposite sides on the number line, if -1 had to be a positive, it wouldn't be an inverse.
<u>Given:</u>
- Before the deposit, her bank account balance is -25.36.
- She has deposited $25.36 into her bank account.
<u>Solve:</u>
Let's add both -25.36 and 25.36.
-25.36 + 25.36 = 0.
C. is the correct choice, and the reasoning is valid.
