Answer:
2
Step-by-step explanation:
10-2=8.
Answer:

Step-by-step explanation:
![(e^x)'=e^x\\\\\bigg[f\bigg(g(x)\bigg)\bigg]'=f'\bigg(g(x)\bigg)\cdot g'(x)\\\\\left(\dfrac{1}{x}\right)'=-\dfrac{1}{x^2}\\\\====================](https://tex.z-dn.net/?f=%28e%5Ex%29%27%3De%5Ex%5C%5C%5C%5C%5Cbigg%5Bf%5Cbigg%28g%28x%29%5Cbigg%29%5Cbigg%5D%27%3Df%27%5Cbigg%28g%28x%29%5Cbigg%29%5Ccdot%20g%27%28x%29%5C%5C%5C%5C%5Cleft%28%5Cdfrac%7B1%7D%7Bx%7D%5Cright%29%27%3D-%5Cdfrac%7B1%7D%7Bx%5E2%7D%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)

Answer:
1386 in³
Step-by-step explanation:
Volume of the composite cone = volume of a hemisphere + volume of a cone
=>Find the volume of cone
Volume of cone = ⅓πr²h
π = 3.142
r = 7 in
h = =√(15² - 7²) [using Pythagorean theorem to solve for height given the slant height and radius]
h = √(225 - 49)
h = √176 ≈ 13 in
Volume of cone = ⅓*3.142*7²*13
= ⅓*2001.454 ≈ 667 in³
=>Find volume of hemisphere.
Volume of hemisphere = ½*volume of sphere = ½*4/3πr³ = ⅔πr³
π = 3.142
r = 7 in
Volume = ⅔*3.142*7³ ≈ 719 in³
<em>Volume of composite figure = 667+719 = 1386 in³</em>

The left sides of the equations are the same and the right sides of the equations are different, therefore the system of equations is inconsistent.
Answer: B. inconsistent.
Answer:
<h2>The volume of water in the vase is 339.33 in^3</h2>
Step-by-step explanation:
To calculate the volume of water in the vase we need the following parameters
1. the diameter/radius of the vase
2. the height /level of water in the vase
Given data
diameter d= 6 in
radius = d/2= 6/2 = 3 in
height of water h= 12 in
we know that the expression for the volume of a cylinder is given as

Inserting our data we have
