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3 years ago

(Picture) INFINITE SEQUENCES AND SERIES PLEASE HELP!!

Mathematics

1 answer:

mojhsa [17]3 years ago

5 0

Answer:

C) $x=\frac{17}{33}$

Step-by-step explanation:

0.51 repeating decimal

x= 0.51515151

multiply by 100 on both sides

100x = 51.515151.........

x= 0.515151...............

--------------------------------------------(subtract)

99x = 51

divide by 99 on both sides

$x=\frac{51}{99}$

divide both sides by 3

$x=\frac{17}{33}$

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Roberto has 2 books with 319 pages each and 3 books with 264 pages.How many pages are all in together.

34kurt

2(319) +3(264) = 1430

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3 years ago

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Which side of triangle XYZ is the longest. x=62, y=55, and z=63

Semenov [28]

Z because 63 is larger than 55 and 62

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3 years ago

It appears that the derivatives of sine and cosine are related. What about the second derivatives?.

Andru [333]

Answer:

Step-by-step explanation:

$\frac{d}{dx} (sin~x)=cos~x\\\frac{d}{dx}(cos~x) =-sin~x\\\frac{d^2}{dx^2} (sin~x)=\frac{d}{dx} (cos~x)=- sin~x\\\frac{d^2}{dx^2} (cos~x)=\frac{d}{dx} (-sin~x)=-cos~x$

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3 years ago

Jack and Jill start driving from the same location. Jack drives 30 miles south while Jill drives west. If Jack and Jill are 78 m

arsen [322]

Answer:

72 mles

Step-by-step explanation:

For better understanding, I'll make use of an attachment.

From the attachment,

O represents the start point

$OB = 30$ --- Jack

$AB = 78$ -- Distance between them

Required

Find OA; Jack's distance

To do this, we make use of Pythagoras theorem

$AB^2 = OA^2 + OB^2$

This gives:

$78^2 = OA^2 + 30^2$

$6084 = OA^2 + 900$

Subtract 900 from both sides

$OA^2= 6084 - 900$

$OA^2= 5184$

Take square roots

$OA = \sqrt{5184}$

$OA = 72$

<em>Hence, Jill drove 72 miles</em>

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3 years ago

a house purchased for 170828 is worth $73828 after 12 years. assuming that the house's value depreciated the same amount from ye

PtichkaEL [24]

$138494.7

Step-by-step explanation:

170828-73828=97000

97000÷12=8083.3

8083.3= the amount the house depreciated every year

8083.3×4 =32333.3

170828-32333.3= $138494.7

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3 years ago