82 it should be your welcome
Answer:
B. 39.27 in.³.
Step-by-step explanation:
✔️Volume of the taller cylindrical mug = πr²h
Where,
r = ½(5) = 2.5 in.
h = 6 in.
Volume = π × 2.5² × 6
Volume of taller mug = 117.81 in.³
✔️Volume of the shorter cylindrical mug = πr²h
Where,
r = ½(5) = 2.5 in.
h = 4 in.
Volume = π × 2.5² × 4
Volume of taller mug = 78.54 in.³
✔️Thus:
117.81 in.³ - 78.54 in.³ = 39.27 in.³.
Therefore, the taller mug is 39.27 in.³ volume more than the shorter mug.
<h3>
Answer: 1</h3>
where x is nonzero
=======================================================
Explanation:
We'll use two rules here
- (a^b)^c = a^(b*c) ... multiply exponents
- a^b*a^c = a^(b+c) ... add exponents
------------------------------
The portion [ x^(a-b) ]^(a+b) would turn into x^[ (a-b)(a+b) ] after using the first rule shown above. That turns into x^(a^2 - b^2) after using the difference of squares rule.
Similarly, the second portion turns into x^(b^2-c^2) and the third part becomes x^(c^2-a^2)
-------------------------------
After applying rule 1 to each of the three pieces, we will have 3 bases of x with the exponents of (a^2-b^2), (b^2-c^2) and (c^2-a^2)
Add up those exponents (using rule 2 above) and we get
(a^2-b^2)+(b^2-c^2)+(c^2-a^2)
a^2-b^2+b^2-c^2+c^2-a^2
(a^2-a^2) + (-b^2+b^2) + (-c^2+c^2)
0a^2 + 0b^2 + 0c^2
0+0+0
0
All three exponents add to 0. As long as x is nonzero, then x^0 = 1
Answer:
one half or 1/2
Step-by-step explanation:
do your rise over your run on the graph.
9514 1404 393
Answer:
- $324 for 72 pints
- $306 for 36 quarts
- larger size is better deal
Step-by-step explanation:
The cost of 72 pints is 72 times the cost of 1 pint:
72 × $4.50 = $324.00 . . . cost of 72 pints
The cost of 36 quarts is 36 times the cost of 1 quart:
36 × $8.50 = $306.00 . . . cost of 36 quarts
__
The price for quart containers is lower, so the larger size is the better deal.
