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Elena-2011 [213]
3 years ago
5

Give examples of water in a solid liquid and gaseous state in the atmosphere

Mathematics
1 answer:
Arada [10]3 years ago
5 0
SOLID LIQUID & GAS
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.....
....
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Is yellow so their are 13 yellow marbles.
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3 years ago
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Find 10 partial sums of the series. (round your answers to five decimal places.) ∞ 15 (−4)n n = 1
nikklg [1K]
Given

\Sigma_{n=1}^\infty15(-4)^n

The first 10 partial sums are as follows:

S_1=\Sigma_{n=1}^{1}15(-4)^n=15(-4)=\bold{-60} \\  \\ S_2=\Sigma_{n=1}^{2}15(-4)^n=\Sigma_{n=1}^{1}15(-4)^n+15(-4)^2 \\ =-60+15(16)=-60+240=\bold{180} \\  \\ S_3=\Sigma_{n=1}^{3}15(-4)^n=\Sigma_{n=1}^{2}15(-4)^n+15(-4)^3 \\ =180+15(-64)=180-960=\bold{-780} \\  \\ S_4=\Sigma_{n=1}^{4}15(-4)^n=\Sigma_{n=1}^{3}15(-4)^n+15(-4)^4 \\ =-780+15(256)=-780+3,840=\bold{3,060} \\  \\ S_5=\Sigma_{n=1}^{5}15(-4)^n=\Sigma_{n=1}^{4}15(-4)^n+15(-4)^5 \\ =3,060+15(-1,024)=3,060-15,360=\bold{-12,300}

S_6=\Sigma_{n=1}^{6}15(-4)^n=\Sigma_{n=1}^{5}15(-4)^n+15(-4)^6 \\ =-12,300+15(4,096)=-12,300+61,440=\bold{49,140}

The rest of the partial sums can be obtained in similar way.
7 0
3 years ago
Round numerical answers to the nearest hundredth, if necessary.
MAXImum [283]

We are to find how long will it take to return to the ground?

Answer:

t = 0.48 sec

Step-by-step explanation:

We are given;

initial velocity; vi = 40 ft/s

hi = 70 ft

acceleration due to gravity; a = 32 ft/s²

Now, we are given that the rocket's height as a function of time is;

h = -12at² + vit + hi

At ground, h = 0

Plugging in the relevant values to obtain ;

0 = -12(32)t² + 40t + 70

-384t² + 40t + 70 = 0

The roots of the equation gives; t = 0.48 sec

6 0
3 years ago
My cousin needs help with this please help thanks
Vikki [24]

Answer:

A. \cos \: x - 4 \:  \cos \: x \:  { \sin}^{2}x (first option)

Step-by-step explanation:

➡️ \cos(x + 2x)

➡️ \cos \: x \:   { \cos}^{2} x -  \sin \: x \:  { \sin }^{2} x

➡️ \cos \: x(1 - 2 \sin^{2}x) -  \sin \: x \times 2 \sin(x)  \cos(x)

➡️ \cos(x)  - 2 \sin^{2} x \cos(x)  - 2 \sin^{2} x \cos(x)

➡️ \cos(x)  - 4  \cos(x)  \sin^{2} x

3 0
3 years ago
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