3 years ago

Find the area of the shaded region

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

3 0

Answer:

25.12

Step-by-step explanation:

8π = P

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How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160

Marina CMI [18]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
S_n=160
\end{cases}$

$\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)
\\\\\\
160=2(3^n-1)\implies \cfrac{160}{2}=3^n-1\implies 80=3^n-1
\\\\\\
81=3^n~~
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^4=3^n\implies 4=n$

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3 years ago

Rick ordered a soda for $1.25 and wanted to order as many hotdogs as he could afford. Rick had $4.00 and each hotdog cost $0.75.

Alecsey [184]

Answer:

the answer is c, less than or equal to 4

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3 years ago

What are the zeros of the function defined by the polynomial<br> x2 + 7x+12?

ryzh [129]

Answer:

x = -4 and -3

Step-by-step explanation:

factors to (x+4)(x+3)

to zero them is -4 and -3

Please mark me brainliest to help me get Ace rank

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3 years ago

Is 4(4a+20b) equivalent to 16a+24b

8090 [49]

No.

When you are distributing, you are multiplying to each monomial

4(4a) = 16a

4(20b) = 80b

16a + 80b is your actual answer

hope this helps

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3 years ago

A set of sweater prices are normally distributed with a mean of 58 dollars and a standard deviation of 5 dollars. What proportio

Airida [17]

Answer: 0.6267

Step-by-step explanation:

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3 years ago