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>
0.39 inches.
Or 0.4 if you want to round it ;3
There were 5000 mangoes in the basket, 3750 of them were good.
% mangoes
25% ---------- 1250
75% ----------- X
25x = 1250.75
25x = 93750
X = 93750/25
X = 3750 mangoes
3750+1250 = 5000
Step-by-step explanation:
The domain of f(x) is all values of x for which f(x) is defined.
For f(x) to be defined, the expression under the radical must be non-negative.
Therefore, the domain is x ≥ 0, or in interval notation, [0, ∞).
Answer:
69. 14
or 22π
Step-by-step explanation:
Area of a circle = 2πr
and, radius, r = 11 cm
π = 22/7
Therefore the area of a circle with radius 11cm
= 2* π * 11 or 2 * 22/7 * 11
= 22π or = 484/7
= 69. 14