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2 years ago

Need help with this!

Mathematics

1 answer:

adell [148]2 years ago

3 0

9514 1404 393

Answer:

a(n) = 1/2(-8)^(n-1)

Step-by-step explanation:

The general term of a geometric sequence is ...

a(n) = a(1)×r^(n-1)

where a(1) is the first term, and r is the common ratio.

Here, the first term is a(1) = 1/2. The common ratio is the ratio of any two sequential terms: r = 32/-4 = -8. Then the explicit formula is ...

a(n) = 1/2(-8)^(n-1)

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What is the greatest common factor of 4k, 18k4, and 12?

Setler [38]

Answer: The greatest common factor is 2.

Step-by-step explanation: We are given to find the greatest common factor of the following expressions:

$E_1=4k,~~E_2=18k^4,~~E_3=12.$

<u>Greatest Common Factor:</u> The GCF of two or more numbers (expressions) is the greatest factor that divides all the numbers or expressions.

We have

$E_1=4k=2\times 2\times k,\\\\E_2=18k^4=2\times 3\times 3\times k\times k\times k\times k,\\\\E_3=12=2\times 2\times 3.$

Therefore, the greatest common factor will be

$G.C.F.=2.$

Thus, the required greatest common factor is 2.

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3 years ago

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A machine covers 5/8 square foot in 1/4 hour

VLD [36.1K]

The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = $frac{5}{8}\ ft^2$

Time taken to cover the given area = $\frac{1}{4}\ h$

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

$Unit\ rate=\frac{Total\ area\ covered}{Total\ time\ taken}\\\\Unit\ rate=(\frac{5}{8}\ ft^2)\div (\frac{1}{4}\ h)\\\\Unit\ rate=\frac{5}{8}\times \frac{4}{1}\ ft^2/h\\\\Unit\ rate=\frac{20}{8}=2.5\ ft^2/h$

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3 years ago

Greg spent 6.4 hours working with his dad one Saturday. If his dad paid him$45.76, how much did Greg make per hour?

nordsb [41]

Answer:

$7.15

Step-by-step explanation:

The best way to solve this is by crossing out the data you don't need so you're left looking at the key pieces to put the equation together. If his dad paid him $45.76 for 6.4 hours, then all you need to do is divide 45.76 by 6.4. (Hint: Use a calculator, it makes it ten times faster than trying to write it out!)

45.76 ÷ 6.4 = 7.15

So Greg made $7.15 an hour working with his dad.

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Answer:
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Answer:

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