Distribute the six: 6y+6x
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:
2x^2 +11
Step-by-step explanation:
f(x) = 3x^2 + 2 and g(x) = x^2 – 9
(f – g)(x) = 3x^2 + 2 -( x^2 – 9)
Distribute the minus sign
3x^2 + 2 - x^2 + 9
Combine like terms
2x^2 +11
516+497+501+528+476= 2518
2518/5= 503.6
round up to 504
Step-by-step explanation:
It's an irrational number.
![\sqrt[3]{275:7}=\sqrt[3]{\dfrac{275}{7}}=\dfrac{\sqrt[3]{275}}{\sqrt[3]{7}}=\dfrac{\sqrt[3]{275}\cdot\sqrt[3]{7^2}}{\sqrt[3]{7}\cdot\sqrt[3]{7^2}}=\dfrac{\sqrt[3]{275\cdot49}}{\sqrt[3]{7\cdot7^2}}\\\\=\dfrac{\sqrt[3]{13475}}{\sqrt[3]{7^3}}=\dfrac{\sqrt[3]{13475}}{7}=\dfrac{1}{7}\sqrt[3]{13475}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B275%3A7%7D%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B275%7D%7B7%7D%7D%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7B275%7D%7D%7B%5Csqrt%5B3%5D%7B7%7D%7D%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7B275%7D%5Ccdot%5Csqrt%5B3%5D%7B7%5E2%7D%7D%7B%5Csqrt%5B3%5D%7B7%7D%5Ccdot%5Csqrt%5B3%5D%7B7%5E2%7D%7D%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7B275%5Ccdot49%7D%7D%7B%5Csqrt%5B3%5D%7B7%5Ccdot7%5E2%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7B13475%7D%7D%7B%5Csqrt%5B3%5D%7B7%5E3%7D%7D%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7B13475%7D%7D%7B7%7D%3D%5Cdfrac%7B1%7D%7B7%7D%5Csqrt%5B3%5D%7B13475%7D)