Answer:
The answer to your question is 600 cups
Step-by-step explanation:
Data
Cylinder Cup
diameter = 30 in diameter = 3 in
height = 24 in height = 4 in
Process
1.- Calculate the volume of the cylinder
Volume = πr²h
-Substitution
Volume = (3.14)(30/2)²(24)
-Simplification
Volume = (3.14)(15)²(24)
Volume = (3.14)(225)(24)
-Result
Volume = 16959 in³
2.- Calculate the volume of the cup
Volume = (3.14)(3/2)²(4)
-Simplification
Volume = (3.14)(1.5)²(4)
Volume = (3.14)(2.25)(4)
-Result
Volume = 28.26 in³
3.- Divide the volume of the cylinder by the volume of the cup
Number of full cups = 16959 in³ / 28.26 in³
Number of full cups = 600
Answer:
The solution is given as 
Step-by-step explanation:
It is given that
![\lim_{\Delta \to 0} \sum_{k=1}^{n}(x_{k}^{*})^4\Delta x_{k} \, \,\,\,\,\,\,\,\,\, [6, 10]](https://tex.z-dn.net/?f=%5Clim_%7B%5CDelta%20%5Cto%200%7D%20%5Csum_%7Bk%3D1%7D%5E%7Bn%7D%28x_%7Bk%7D%5E%7B%2A%7D%29%5E4%5CDelta%20x_%7Bk%7D%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%5C%2C%20%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%20%5B6%2C%2010%5D)
As
where a and b are the lower and upper limits of the bound respectively.
On comparison it is observed that
So the equation is given as

So the solution is given as 
Answer:
x = 7/12
Step-by-step explanation:
Write the expression in exponential form with the base of 2
= 
= 
Since the bases are the same, set the exponents equal
x - 3 = 15 - 10
Move variable to the left-hand side and change its sign
3x - 15x - 3 = -10
Move constant the the right-hand side and change its sign
3x - 15x = -10 + 3
Collect like terms
-12x = -10 + 3
Calculate the sum
-12x = -7
Divide both sides o the equation by -12
x = 7/12
Solution
7/12
Alternate form
x = 0.583
Answer:b
b
Step-by-step explanation:
tell me if you got it right.