Answer:
125
Step-by-step explanation:
So you can see that the sequence is all of the perfect cubes so knowing that the next perfect cube we have to find is 5's perfect cube which is 125.
Answer: The answers are given below.
Step-by-step explanation: Given that all the sides of a pentagon are (s-2) units long. This clearly tells us that the pentagon is a regular one with each side equal to (s-2) units.
We are to write the perimeter of the pentagon in four different expressions.
Let 'P' represents the perimeter of the pentagon.
Since it is a regular pentagon, we can write the perimeter in following four expressions.
P = (s-2) + (s-2) + (s-2) + (s-2) + (s-2),
= 5 × (s-2),
= 5s - 10,
= 5s - 5×2.
Thus, these are the four expressions for the perimeter of the pentagon.
Given: <span>10g^2+33g=9-2g^2
Group the q^2 terms first, then the q terms, and finally the constants:
12g^2 + 33q - 9 = 0. Make sure you agree with this, or otherwise fix it.
Tools for solving quadratic equations include the following and more:
graphing
quadratic formula
completing the square
I've graphed this simplified quadratic on my TI-83 calculator and see that -3 seems to be a root. Let's check it!
________________
-3 / 12 33 -9
-36 9
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12 -3 0 Since the remainder is zero, -3 is a root and (x+3) is a factor. The other factors are 3 and (4x -1)
Then 3(4g-1)(g+3) = 0, with the result that g = 1/4 and g = -3.
Please check these roots by subst. into the original equation.</span>
#6. the answer is 12 it increases by 4 every time
#8. the answer is every week he runs his miles increase by 5
NO this question makes no sense