The circle area times the depth gives the volume of a cylinder.
Radius is half diameter = 25 ft
Area circle = π(25)²
= 625π
multiply by depth to find volume.
= 625π(6)
= 11,781
I'd say C. is the closest. I don't round numbers until the end so if you round π to 3.14 it's probably the same
Ok this inequality tells you the number of devices you can have before the new plan costs more than the old plan. The new plan expression is $4.50x + $94m = y ( total cost). The old plan is $175m = y (total cost). You can see m (number of months) in both equations, you don't need it this time since we're going to to compare both to one month. Since they're both equal to y you can make them equal to each other. $4.50x + $94 = $175. Now you want to figure when the new plan is less than the old plan you switch the equal sign for a less than sign. $4.50x + $94 < $175; this will help you find the inequality you want. From there just use algebraic steps to find that x has to less than 18 or
x < 18.
The expression will be written as ![\rm \sqrt[8]{2^5}](https://tex.z-dn.net/?f=%5Crm%20%5Csqrt%5B8%5D%7B2%5E5%7D)
., the correct option is A.
<h3>What are Exponents?</h3>
Exponents are the base raised to a power, It is written in the superscript of a number.
The expression given in the statement can be written as
By the Exponent rule,
So the expression can be written as
<h3>
=
</h3>
=
=
Therefore, in radical form, the expression will be written as ., the correct option is A.
The complete question is
Rewrite the rational exponent as a radical by extending the properties of integer exponents.
2 to the 7 over 8 power, all over 2 to the 1 over 4 power
the eighth root of 2 to the fifth power
the fifth root of 2 to the eighth power
the square root of 2 to the 5 over 8 power
the fourth root of 2 to the sixth power
To know more about Exponents
brainly.com/question/5497425
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<h3>
Answer:</h3>
System
Solution
- p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>
Step-by-step explanation:</h3>
(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.
For the total amount of mix:
... p + m = 10
For the quantity of peanuts in the mix:
... p + 0.2m = 0.6·10
For the quantity of almonds in the mix:
... 0.8m = 0.4·10
For the ratio of peanuts to almonds:
... (p +0.2m)/(0.8m) = 0.60/0.40
Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.
So, your system of equations could be ...
___
(b) Dividing the second equation by 0.8 gives
... m = 5
Using the first equation to find p, we have ...
... p + 5 = 10
... p = 5
5 lb of peanuts and 5 lb of mixture are required.
Answer:
A
Step-by-step explanation:
just got it right
