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3 years ago

What is the 12th term of the geometric sequence where *

Mathematics

2 answers:

Likurg_2 [28]3 years ago

5 0

Answer:

-224

Step-by-step explanation:

Geometric sequence is given by An = A*R^(n-1)

Given A7 = 7 and A10 = -56

A10/A7 = -8 = R^(10-7)

R^3 = -8

R = -2

A12 = A10*R^2

= -56*-2^2

= -224

elena55 [62]3 years ago

3 0

Answer:

Step-by-step explanation:

A7 = 7

A10 = -56

7xRxRxR = -56

R = -2

A12 = A10xRxR

= -56 x -2 x -2

= 224

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3 years ago

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3241004551 [841]

Answer:

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Step-by-step explanation:

Looking at the graph, we can identify the x axis which is time, and the y axis which is the height. Now, as the height increases or decreases, so does the line as it goes higher or lower. Now, when the question asks what constant means, it is asking where during the graph is the height the same. We can see that it is the same when the height does not change over time, which is from 2 to 6. The height remains the same, therefore there is no change and the height is constant.

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3 years ago

When the exponent blank is applied to a nonzero base, the result is always 1

boyakko [2]

Answer:

zero (0)

when the exponent 0 is applied to a nonzero base, the result is always 1

Step-by-step explanation:

Acoording to the zero power rule, a non zero number raised to the power 0 is always 1:

$a^{0} =1$ whit $a=0$

Let's check this property using an example:

We know that a quantity over itself is always 1: $\frac{2}{2} =1$

We also know that a base without exponent is always raised to the power 1: $2=2^{1}$

Now, according to the division power rule $\frac{a^{m} }{a^{n}} =a^{m-n}$ , so $\frac{2}{2} =\frac{2^{1} }{2^{1} } =2^{1-1} =2^{0} =1$

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3 years ago

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Answer:

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Step-by-step explanation:

We have

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2 years ago

Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she wo

Elodia [21]

Answer:

She will earn $442.89 in one week after the changes.

And this is more than her previous weekly earnings.

Step-by-step explanation:

Given:

Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she worked 40 hours per week before the changes.

Now, to find money she will earn in one week after the changes.

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