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Paha777 [63]
3 years ago
12

Find the first six terms of the sequence. a1 = -3, an = 2 ● an-1

Mathematics
1 answer:
Sindrei [870]3 years ago
5 0
The first term of the sequence is -3.

According to the formula each next term will be obtained by multiplying the previous term by 2.

So, next terms will be:

Second term = 2 x First Term = 2 x (-3) = - 6

Third term = 2 x (-6) = -12

Fourth term = -24

Fifth term = -48

Sixth term = -96

So, the sequence will be:

-3, -6, -12, -24, -48, -96 ...
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At the park there is a pool shaped like a circle. A ring-shaped path goes around the pool. Its inner diameter is 22yd and its ou
jeka94
First, we need to think about what we're actually solving for: the area of the path. To find this, we can find the area of the whole thing, minus the area of the pool.

The diagram would look something like the picture I attached. We know that to find the area of a circle, you do πr^2. The radius is half of the diameter, so halve the diameters:

22/2 = 11 yards
32/2 = 16 yards

Then solve for the area of both circles.
π11^{2}= 121π ≈ <span>380.13 (area of the pool)</span>
π16^{2}= 256π ≈ <span>804.25 (area of the whole thing)
</span>
Next, subtract the area of the pool from the area of the whole thing to find the area of the walkway:
804.25 - 380.13 = 424.12 (area of the walkway)

Finally, divide the area of the walkway by 6 to see how many gallons of paint you'll need:

424.12 ÷ 6 ≈ 70.69

So you'll need 71 gallons of paint!

Hope I helped and let me know if you have any questions :)


6 0
3 years ago
A book cost $350 and bed cost $590. With a 13% commission rate, how much money did the sale clerk earn?
kow [346]

Answer:

A.

Step-by-step explanation:

Because I used the Internet.

:)

6 0
3 years ago
Read 2 more answers
A Florida neighborhood is comprised of a total of 250 houses of which 12% are in foreclosure. A random sample of 91 homes from t
natka813 [3]

Answer:

the standard error of the proportion is 0.0272

Step-by-step explanation:

We have that if the sample size is greater than 5% of the entire population, a finite population correction factor (fpc) is multiplied with the standard error :

fpc = \sqrt{\frac{N -n}{N -1} }

We know that N = 250 n = 91, replacing:

fpc = \sqrt{\frac{250 - 91}{250 -1} }

fpc = 0.799

Now, the formula would then be:

SE  = \sqrt{\frac{p * (1 -p)}{n} }*fpc

Now replacing, knowing that p = 0.12

SE= \sqrt{\frac{0.12 * (1 - 0.12)}{91} }*0.799

SE = 0.0272

So the standard error of the proportion is 0.0272

6 0
3 years ago
If tanisha has $100 to invest at 8% annum compounded monthly, how long will it be before she has $150?
marissa [1.9K]

An exponential behavior can be observed.

Let x be the number of years she has to wait.

100((1+0.08/12)^12x) = 150

Now solve for x.

log base 1.08/12 of 1.5 = 61.02 approx

12x=61.02

x=5.09 years

4 0
3 years ago
5k^3-8-4k^2+5k^2-2+3k^3
lara31 [8.8K]
<h3>I'll teach you how to solve 5k^3-8-4k^2+5k^2-2+3k^3</h3>

-----------------------------------------------------------------------

5k^3-8-4k^2+5k^2-2+3k^3

Group like terms:

5k^3+3k^3-4k^2+5k^2-8-2

Add similar elements:

5k^3+3k^3+k^2-8-2

Add similar elements:

8k^3+k^2-8-2

Subtract the numbers:

8k^3+k^2-10

Your Answer Is 8k^3+k^2-10

Plz mark me as brainliest :)

7 0
3 years ago
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