Answer:
(a) 10.
Step-by-step explanation:
When x = 2 x + x(x^x) =
2 + 2(2^2)
= 2 + 2*4
= 2 + 8
= 10.
Using the laws of indices , 4⁵ ÷ 4² can rewritten as 4³.
<h3>What is the result of the division in exponent form?</h3>
Given the expression; 4⁵ ÷ 4²
To perform the division operation, we use one of the laws of indices;

Given that;
Now, we apply the laws of indices ;
4⁵ ÷ 4² = 4⁵⁻² = 4³
Therefore, using the laws of indices, 4⁵ ÷ 4² can rewritten as 4³.
Learn more about exponents here: brainly.com/question/15993626?
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Answer:
x² + 8x + 12
Step-by-step explanation:
Area of a rectangle = length × width
Original dimensions:
Width = x
Length = x + 4
James will increase both dimensions of the floor by 2 feet
New dimensions:
Width = x + 2
Length = x + 4 + 2
= x + 6
Area of the new rectangle = length × width
= (x + 2) × (x + 6)
= x² + 6x + 2x + 12
= x² + 8x + 12
Equation which represents the
new area, N, of the floor of the cage = x² + 8x + 12
Answer:
We have now seen solutions method for the three basic types of percent problems ;finding the amount, the rate, and the base
Answer:

Step-by-step explanation:
Given,
Cost price of three thermos flask = 1080
Selling price of each thermos flask = 400
<u>Finding </u><u>the </u><u>selling </u><u>price </u><u>of </u><u>three </u><u>thermos </u><u>flask</u>
Since, the cost of 3 thermos flask is more than that of 1 thermos flask. So, the cost of 1 thermos flask is multiplied by 3 ( i.e 400 × 3 = 1200 )
Here, the selling price is greater than cost price.
So, there is profit.
And we know that,

⇒
⇒
Profit amount = 120
<u>Finding </u><u>the </u><u>profit </u><u>percentage</u>

⇒
⇒
Hope I helped!
Best regards!!