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3 years ago

I need help ASAP I’ve tried it already but I can’t get it can someone please help please please help me out

Mathematics

2 answers:

Black_prince [1.1K]3 years ago

8 0

Answer:

-2/3

Step-by-step explanation:

slope=rise/run

slope=(1-7)/(10-1)

slope=-6/9

slope=-2/3

egoroff_w [7]3 years ago

6 0

Answer:

I think the answer is -2/3

Step-by-step explanation:

Plot the points

Then you count how many points it takes to get from (1,7) to (10-1)

Once you have that, you put the numbers in rise/run and you get -6/9

Simplify and you get -2/3

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4 years ago

Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.

Arisa [49]

Answer: $S_n=5(1-\dfrac{1}{n+1})$ ; 5

Step-by-step explanation:

Given series : $[\dfrac{5}{1\cdot2}]+[\dfrac{5}{2\cdot3}]+[\dfrac{5}{3\cdot4}]+....+[\dfrac{5}{n\cdot(n+1)}]$

Sum of series = $S_n=\sum^{\infty}_{1}\ [\dfrac{5}{n\cdot(n+1)}]=5[\sum^{\infty}_{1}\dfrac{1}{n\cdot(n+1)}]$

Consider $\dfrac{1}{n\cdot(n+1)}=\dfrac{n+1-n}{n(n+1)}$

$=\dfrac{1}{n}-\dfrac{1}{n+1}$

⇒ $S_n=5\sum^{\infty}_{1}\dfrac{1}{n\cdot(n+1)}=5\sum^{\infty}_{1}[\dfrac{1}{n}-\dfrac{1}{n+1}]$

Put values of n= 1,2,3,4,5,.....n

⇒ $S_n=5(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+......-\dfrac{1}{n}+\dfrac{1}{n}-\dfrac{1}{n+1})$

All terms get cancel but First and last terms left behind.

⇒ $S_n=5(1-\dfrac{1}{n+1})$

Formula for the nth partial sum of the series :

$S_n=5(1-\dfrac{1}{n+1})$

Also, $\lim_{n \to \infty} S_n = 5(1-\dfrac{1}{n+1})$

$=5(1-\dfrac{1}{\infty})\\\\=5(1-0)=5$

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3 years ago

What is the area of a sector with a central angle of 3pi/5 radians and a diameter of 21.2cm

Elenna [48]

Answer: 105.84 cm^2

To find the answer, first you have to start by finding the percent of the circle in the sector. Convert the radians given to 108 degrees. 108 out of 360 is 30%.

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Multiply this by 30% to find our area of 105.84 cm^2

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3 years ago