Answer:
= 10 
Step-by-step explanation:
The n th term of a geometric sequence is
= a 
where a is the first term and r the common ratio
Here a = 10 and r = 30 ÷ 10 = 3, thus
= 10 
Answer: OPTION C
Step-by-step explanation:
Remember that:
![\sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
And the Product of powers property establishes that:

Rewrite the expression:

Descompose 18 and 32 into their prime factors:

Substitute into the expression, then:

Finally,simplifying, you get:

Answer:
You have 2 mystery boxes and you add them to 3 mystery bags. Each has a different amount of things represented by a and b.
Step-by-step explanation:
The correct answer would be D, because there’s no other leading common factors between the two besides one.
The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
<h3>What is a quadratic equation?</h3>
Any equation of the form
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:

We have an equation:
x(x + 4) = 6
By distributive property:
x² + 4x = 6
x² + 4x - 6 = 0
a = 1, b = 4, c = -6
Plugging all the values in the formula:

After calculating:


Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
Learn more about quadratic equations here:
brainly.com/question/2263981
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