In which graph is y a direct variation of x? A. B. C. D.

Mathematics

1 answer:

TEA [102]2 years ago

8 0

Answer:

Step-by-step explanation:

The line is going through the origin.

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WORTH 20 POINTS!!!!!

garik1379 [7]

Answer:

circumference = 43.98

Step-by-step explanation:

C=2πr=2·π·7≈43.9823

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2 years ago

The blueprint of a rectangular house is 2.5 inches by 1.5 inches. If the scale is 1:20, what is the perimeter of the actual hous

defon

Answer:

160

Step-by-step explanation:

(2.5 x 2)+(1.5 x 2) =8 (perimeter of scale)

8x20 = 160

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2 years ago

Find the sum of a finite geometric series. The Smiths spent $2,000 on clothes in a particular year. If they increase the amount

boyakko [2]

$\bf \stackrel{\textit{first year}}{2000}~~,~~\stackrel{\textit{second year}}{2000+\stackrel{\textit{10\% of 2000}}{\frac{2000}{10}}}\implies 2200$

now, if we take 2000 to be the 100%, what is 2200? well, 2200 is just 100% + 10%, namely 110%, and if we change that percent format to a decimal, we simply divide it by 100, thus $\bf 110\%\implies \cfrac{110}{100}\implies 1.1$ .

so, 1.1 is the decimal number we multiply a term to get the next term, namely 1.1 is the common ratio.

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\a_1=2000\\r=1.1\\n=4\end{cases}\\\\\\S_4=2000\left[ \cfrac{1-(1.1)^4}{1-1.1} \right]\implies S_4=2000\left(\cfrac{-0.4641}{-0.1} \right)\\\\\\S_4=2000(4.641)\implies S_4=9282$