The ratio would be 4:1.
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 64 and 16 is 16
Divide both terms by the GCF, 16:
64 ÷ 16 = 4
16 ÷ 16 = 1
The ratio 64 : 16 can be reduced to lowest terms by dividing both terms by the GCF = 16 :
64 : 16 = 4 : 1
Therefore:
64 : 16 = 4 : 1
<h3>Given:</h3>
<h3>Note that:</h3>
<h3>To find:</h3>
The volume of the given cone.
<h3>Solution:</h3>
Let's solve!
Substitute the values according to the formula.
<u>Therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>cone</u><u> </u><u>is</u><u> </u><u>2863.6</u><u>8</u><u> </u><u>cubic</u><u> </u><u>feets</u><u>.</u>
The solution to the composite function f(g(x)) is 9x² - 78x + 165.
<h3>
What is composite function?</h3>
A composite function is generally a function that is written inside another function.
Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.
From the given composite function, the solution is determined as follows;
to solve for f(g(x)), we use the following methods.
f(x) = x² + 2x - 3, g(x) = 3x - 14
f(g(x)) = (3x - 14)² + 2(3x - 14) - 3
= 9x² - 84x + 196 + 6x - 28 - 3
= 9x² - 78x + 165
Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.
Learn more about composite function here: brainly.com/question/10687170
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The complete question is below:
F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))
Answer:
x=10
y=2
Step-by-step explanation:
1)add the equations and find what x is.
x-y=8
+x+y=12
—————
2x=20
— —
2 2
x=10
3)fill in x for the second equation.
x+y=12
since x=10,replace x with 10.
10+y=12.
subtract 19 from both sides.
10+y=12
-10 -10
—————-
y=2
