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Whitepunk [10]
3 years ago
10

What is (2,8) m=3 in slope intercept form

Mathematics
1 answer:
nignag [31]3 years ago
5 0

Answer: y=3x+2

Step-by-step explanation:

y=mx+b

Plug in point (x,y)-->(6,8) m=3

8=3 (6) +b

2=b

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What is the answer to 16-2t=t+9+4t
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Answer:

t=1

Step-by-step explanation:

16-2t=t+9+4t

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16-2t = 5t+9

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In AGHI, the measure of G=76º, and IG = 6.2 feet. Find the length of HI to the nearest tenth of a foot.
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3 years ago
f(x) = 500(1.05)x What was the average rate of change of the value of Sophia's investment from the second year to the fourth yea
hjlf
\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)=500(1.05)^x   \qquad 
\begin{cases}
x_1=2\\
x_2=4
\end{cases}\implies \cfrac{f(4)-f(2)}{4-2}
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Find the sum of the convergent series. (round your answer to four decimal places. ) [infinity] (sin(9))n n = 1
Alexus [3.1K]

The sum of the convergent series \sum_{n=1}^{\infty}~(sin(1))^n is 5.31

For given question,

We have been given a series \sum_{n=1}^{\infty}~(sin(1))^n

\sum_{n=1}^{\infty}~(sin(1))^n=sin(1)+(sin(1))^2+...+(sin(1))^n

We need to find the sum of given convergent series.

Given series is a geometric series with ratio r = sin(1)

The first term of the given geometric series is a_1=sin(1)

So, the sum is,

= \frac{a_1}{1-r}

= sin(1) / [1 - sin(1)]

This means, the series converges to sin(1) / [1 - sin(1)]

\sum_{n=1}^{\infty}~(sin(1))^n

= \frac{sin(1)}{1-sin(1)}

= \frac{0.8415}{1-0.8415}

= \frac{0.8415}{0.1585}

= 5.31

Therefore, the sum of the convergent series \sum_{n=1}^{\infty}~(sin(1))^n is 5.31

Learn more about the convergent series here:

brainly.com/question/15415793

#SPJ4

7 0
1 year ago
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