Answer:
If the expression is 
, then the answer is the first option.
If the expression is 
, then the answer is the third option.
Step-by-step explanation:
Remember that when you have a radical expression in the form ![\sqrt[n]{x}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D)
, you can rewrite as:
Then:
- If the expression is , then you can rewrite it in the following radical form:
![=4\sqrt[7]{x^3}](https://tex.z-dn.net/?f=%3D4%5Csqrt%5B7%5D%7Bx%5E3%7D)
(This form matches with the first option.)
- If the expression is , then you can rewrite it in the following radical form:
![=\sqrt[7]{(4x)^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B7%5D%7B%284x%29%5E3%7D)
(This form matches with the third option).
SIDE LENGTH OF TRIANGLE: 2.14 inches
SIDE LENGTH OF HEXAGON: 6 inches
To solve this problem, we know that the shapes have equal sides as it states “equilateral triangle”. A triangle has 3 sides and a hexagon has 6 sides. We are told the perimeters are the same so you can set their perimeters equal to each other to solve for x. You would get this : 3(1.4x + 2) = 6(0.5x +2)
With basic algebra you would get x= 5
Then you substitute that value into the length sides of the triangle and hexagon. For the triangle you would approx get 2.14 inches and for the hexagon 6 inches
<h2>
Answer:</h2>
<em><u>Recursive equation for the pattern followed is given by,</u></em>
<h2>
Step-by-step explanation:</h2>
In the question,
The number of interaction for 1 child = 0
Number of interactions for 2 children = 1
Number of interactions for 3 children = 5
Number of interaction for 4 children = 14
So,
We need to find out the pattern for the recursive equation for the given conditions.
So,
We see that,
Therefore, on checking, we observe that,
On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.
<u>At, </u>
<u>n = 1</u>
which is true.
<u>At, </u>
<u>n = 2</u>
Which is also true.
<u>At, </u>
<u>n = 3</u>
Which is true.
<u>At, </u>
<u>n = 4</u>
This is also true at the given value of 'n'.
<em><u>Therefore, the recursive equation for the pattern followed is given by,</u></em>
Answer:
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Step-by-step explanation:
