The expression equivalent to ∛162 is ∛6 × ∛27
<h3>What is the cube root of a number?</h3>
The cube root of a number is a number a such that when another number, b multiplies itself 3 times, we get a.
So,
- a = b × b × b = b³and
- b = ∛a
<h3>What is a perfect cube?</h3>
A perfect cube is a number such that its cube root which is an integer or whole number.
<h3>How to find ∛162.</h3>
Since we have ∛162.
Since 162 is not a perfect cube, to find its cube root, we have
∛162 = ∛(54 × 3)
= ∛(18 × 3 × 3)
= ∛(2 × 9 × 3 × 3)
= ∛(2 × 3 × 3 × 3 × 3)
= ∛(6 × 27)
= ∛6 × ∛27
So, the expression equivalent to ∛162 is ∛6 × ∛27
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Step-by-step explanation:
NSWER
From the above equation, we get
cosθ=sinθ
Hence
θ=450
Therefore
sin4θ+cos4θ
=sin4450+cos4450
=2×(21)4
=2×41
=21
Answer:
Two to One
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
-7x2 is -14
-14x-2 is positive 28.
By evaluating the function, we conclude that f(10) = -7
<h3>
How to evaluate the function f(x)?</h3>
Here we know that:
g(x) = 2x - 8
And f(x) = 5 - g(x).
Then we can write:
f(x) = 5 - (2x - 8) = 5 - 2x + 8 = -2x + 13
Now we want ot evaluate it in x = 10, this means replace the variable by the number 10.
f(10) = -2*10 + 13 = -20 + 13 = -7
Then, we conclude that f(10) = 7
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