This expression is equivalent (9+3)4
Answer: 26.13yards^2
Step-by-step explanation:
To find the area of the bottom part we can use the diameter.
6 yards. Divide it by half to have the Radius.
Now we use the formula to find the area of a circle which is
A = 3.14*R^2 Pie times radius squared.
A = 3.14*3^2
A = 3.14*9
A = 28.26 Now that we have the area of the circle divide it by 2.
14.13
Now to find the area of an isosceles triangle we use the formula
A = Base * Height Divided by 2.
A = 6*4/2
A = 24/2
A = 12
12 + 14.13 = 26.13
Answer:5x
Step-by-step explanation:
Answer:
1. To find the volume of a cylinder you'll need to use the formula V = pi(r)^2(h)
V = pi(4)^2(6)
V = 301.59
Rounded* = 301.6
2. A beach ball is a sphere, so we're going to use the formula 4/3pi(r)^3
4/3pi(18)^3
D = 24429.02
Rounded* = 24429.0
I cant read the last one completely, hope this helps.
Problem 1
<h3>Answer: False</h3>
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Explanation:
The notation (f o g)(x) means f( g(x) ). Here g(x) is the inner function.
So,
f(x) = x+1
f( g(x) ) = g(x) + 1 .... replace every x with g(x)
f( g(x) ) = 6x+1 ... plug in g(x) = 6x
(f o g)(x) = 6x+1
Now let's flip things around
g(x) = 6x
g( f(x) ) = 6*( f(x) ) .... replace every x with f(x)
g( f(x) ) = 6(x+1) .... plug in f(x) = x+1
g( f(x) ) = 6x+6
(g o f)(x) = 6x+6
This shows that (f o g)(x) = (g o f)(x) is a false equation for the given f(x) and g(x) functions.
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Problem 2
<h3>Answer: True</h3>
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Explanation:
Let's say that g(x) produced a number that wasn't in the domain of f(x). This would mean that f( g(x) ) would be undefined.
For example, let
f(x) = 1/(x+2)
g(x) = -2
The g(x) function will always produce the output -2 regardless of what the input x is. Feeding that -2 output into f(x) leads to 1/(x+2) = 1/(-2+2) = 1/0 which is undefined.
So it's important that the outputs of g(x) line up with the domain of f(x). Outputs of g(x) must be valid inputs of f(x).
