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4 years ago

A square serving platter has an area of 124 inches squared. Which is the best estimate of the side length of the platter?

Mathematics

1 answer:

mafiozo [28]4 years ago

7 0

Answer:

Approximately 11 inches

Step-by-step explanation:

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The first term in a geometric series is 64 and the common ratio is 0.75. Find the sum of the first 4 terms in the series.

maks197457 [2]

Answer:

195.25

Step-by-step explanation:

Consider geometric series S(n) where initial term is a

So S(n)=a+ar^1+...ar^n

Factor out a

S(n)=a(1+r+r^2...+r^n)

Multiply by r

S(n)r=a(r+r^2+r^3...+r^n+r^n+1)

Subtract S(n) from S(n)r

Note that only 1 and rn^1 remain.

S(n)r-S(n)=a(r^n+1 -1)

Factor out S(n)

S(n)(r-1)=a(r^n+1 -1)

The formula now shows S(n)=a(r^n+1 -1)/(r-1)

Now use the formula for the problem

4 0

3 years ago

Jeanette is starting a business selling handmade necklaces. She has decided to invest an initial amount of $400 for advertising,

lana66690 [7]

Answer:

25 necklaces

Step-by-step explanation:

each necklace brings $16 profit (20-4=16)

400÷ 16= 25

so, at 25 necklaces, there will be enough profit to break even after paying for the advertising.

8 0

3 years ago

Urgent! Will award brainliest...<br> Factor the following polynomial:<br> <img src="https://tex.z-dn.net/?f=3a%5E%7B2%7D-21a%2B3

umka2103 [35]

Answer:

$3 (a-2) (a-5)$

Step-by-step explanation:

The first step is to find the GCF. Here, it's 3.

$3(a^2-7a+10)$

Then, you factor the polynomial in the parenthesis.

To find the factors, you will need to find 2 numbers that add to -7, and multiply to 10. -2 and -5 add to -7 and multiply to 10. Now, replace -7a with the factors.

$a^2-2a-5a+10$

This of this polynomial as 2 problems.

$a^2-2a$ $-5a+10$

Then, factor again.

$a^2-2a$ $-5a+10$

$a(a-2)$ $-5(a-5)$

Then, you keep the factors in parenthesis, and combine the numbers on the outside.

$(a-2)(a-5)(a-5)$

Since, there are 2 of the same factor, you only need one.

$(a-2)(a-5)$

BUT REMEMBER!! In the very beginning, we had a 3 that we took out, we STILL need to add that to the final answer. The <u>final answer</u> is:

$3 (a-2) (a-5)$

7 0

3 years ago

Find the 39th term for 163, 160, 157

aniked [119]

Answer:

Step-by-step explanation:

delta math said it

3 0

3 years ago

If x is 4 then y is

Eduardwww [97]

Answer:

Step-by-step explanation:

if x is 4 then y is 2 unlesss uknwo

6 0

3 years ago