Represent the following expressions as a power of the number a (a +0) a^2 * (a^0)^3/a^11

Mathematics

1 answer:

LekaFEV [45]3 years ago

6 0

I have no idea how to do this problem i dont know what a is

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What is the value of y in the sequence below 2, У, 18,-54, 162

Maslowich

Answer:

y=-6

Step-by-step explanation:

Geometric Sequences

Any given sequence is said to be geometric if each term $a_n$ can be obtained as the previous term $a_{n-1}$ by a constant value called the common ratio.

$a_n=a_{n-1}.r$

or equivalently

$a_n=a_1.r^{n-1}$

Looking closely at the sequence 2, y, 18,-54, 162 we can try to find out if it's a geometric sequence or not. We compute the possible common ratios

$\displaystyle \frac{162}{-54},\ \frac{-54}{18}$ and we see they both result -3. If we use r=-3 and try to find the second term (y), then

y=2*(-3)=-6

Now we compute the third term: (-6)(-3)=18

Since we got the third term as given in the original sequence.

So y=-6

3 0

3 years ago

Which statement describes the decimal equivalent of 114?

lana [24]

Answer:

C. The decimal terminates after 2 decimal places.

Step-by-step explanation:

If we move twice to the right, we will see that it will now see 1.14. I will send you a picture.

hope this helps.

8 0

3 years ago

Read 2 more answers

-5x+2y=6 -x+2y=-2 what is the solution to the system of equations?

dybincka [34]

Step-by-step explanation:

$- 5x + 2y = 6 \\ - x + 2y = - 2 \\ \\ - 5x + 2y - ( - x + 2y) = 6 - ( - 2) \\ - 5x + 2y + x - 2y = 6 + 2 \\ - 4x = 8 \\ \frac{ - 4x}{ - 4} = \frac{8}{ - 4 } \\ x = (- 2) \\ \\ -5x + 2y = 6 \\ - 5 \times - 2 + 2y = 6 \\ 10 + 2y = 6 \\ 2y = 6 - 10 \\ 2y = - 4 \\ \frac{2y}{2} = \frac{ - 4}{2} \\ y = - 2 \\ now \: lets \: see \: whether \\ this \: equation \: is \: correct. \\ - x + 2y = - 2 \\ - ( - 2) + 2 \times - 2 = - 2 \\ 2 + 2 \times - 2 = - 2 \\ 2 - 4 = - 2 \\ - 2 = - 2 \\ yes \: this \: equation \: is \\ correct.$