Answer:
The amount of paper needed = 363.3 in²
Total amount of paper and plastic needed = 564.3 in
Step-by-step explanation:
As the diagram isn't given.
Consider a right cone shown in the ATTACHMENT.
where
r = 8 in
h = 12 in
First find the value of hypotenuse s by using Pythagoras theorem
<h3>Find Lateral Area:</h3>
The amount of paper needed to cover the candle is lateral area, which is given by:
<h3>Find Surface Area:</h3>
Total amount of paper and plastic is the surface area:
At the respective max and min values
Answer:
.40km or 1/4 a mile
Step-by-step explanation:
Use Multiplication Distribute Property: (xy)^a = x^ay^a
6^2(x^-2)^2(0.5x)^4
Simplify 6^2 to 36
36(x^-2)^2(0.5x)^4
Use this rule: (x^a)^b = x^ab
36x^-4(0.5x)^4
Use the Negative Power Rule: x^-a = 1/x^a
36 × 1/x^4(0.5x)^4
Use the Multiplication Distributive Property: (xy)^a = x^ay^a
36 × 1/x^4 × 0.5^4x^4
Simplify 0.5^4 to 0.0625
36 × 1/x^4 × 0.0625x^4
Simplify
2.25x^4/x^4
Cancel x^4
<u>2.25</u>
Answer:
Given functions,
Since, by the compositions of functions,
1. (g◦f)(x) = g(f(x))
Since, (g◦f) is defined,
If 3 - x² ≥ 0
⇒ 3 ≥ x²
⇒ -√3 ≤ x ≤ √3
Thus, Domain = [-√3, √3]
2. (f◦g)(x) = f(g(x))
Since, (g◦f) is defined,
If x ≥ 0
Thus, Domain = [0, ∞)
3. (f◦f)(x) = f(f(x))
Since, (f◦f) is a polynomial,
We know that,
A polynomial is defined for all real value of x,
Thus, Domain = (-∞, ∞)
