3 years ago

Can someone help with this problem?

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

8 0

Answer:

x = $\frac{1}{13}$

Step-by-step explanation:

Bases are the same. Move to exponents and set them equal to.

x = $\frac{1}{13}$

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Write the sum using summation notation, assuming the suggested pattern continues. 6, -18, 54, -162, +… Is this sequence arithmet

telo118 [61]

Answer:

Hello,

This sequence is geometric with a ratio of -3

the first term is 6

Step-by-step explanation:

$u_1=6\\u_2=-18=6*(-3)=u_1*(-3)\\u_3=54=-18*(-3)=u_2*(-3)=u_1*(-3)^2\\u_4=-162=u_3*(-3)=u_1*(-3)^3\\\\...\\u_{n+1}=u_1*(-3)^n\\\\\displaystyle \sum\limits^\infty _{i=1}u_i = \lim_{n \to \infty} \sum\limits^n _{i=1}u_1*(-3)^{i-1}\\=6*\lim_{n \to \infty} \sum\limits^\infty _{i=1}(-3)^{i-1}\\=6*\frac{1-(-3)^n}{1-(-3)} \\=\dfrac{3}{2} *({1-(-3)^n)\\$

serie does not converge.

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3 years ago

Frank bought 70 CDs at $16 each. How much did he pay in total?

NNADVOKAT [17]

Answer:

$1,120

Step-by-step explanation:

For this question simply multiply the amount of CDs by the price.

70 x 16 = 1,120

Frank must really like that music.

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3 years ago

On a long-distance biking trip, Annike started biking at 7 a.m., and her average speed was 11 miles per hour. Celia started at 8

vitfil [10]

Answer:

2:40 p.m.

Step-by-step explanation:

Annike's 11-mile head start is being made up by Celia at the rate of 3 miles per hour. It will take Celia 11/3 = 3 2/3 hours to catch Annike. 3 hours and 40 minutes after 11 a.m. is 2:40 p.m..

Celia and Annike will both have completed 51 1/3 miles at 2:40 p.m..

_____

distance = speed×time

Annike: 11 mph × 4 2/3 h = 51 1/3 mi

Celia: 14 mph × 3 2/3 h = 51 1/3 mi

7 0

3 years ago

Read 2 more answers

Cos (x-<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D" id="TexFormula1" title="\frac{5}{6}" alt="\frac{5}{6}" align="ab

Degger [83]

Answer:

Solution given;

Cos (x- $\frac{5}{6}$ )= $\frac{\sqrt{2} }{2}$

Cos (x- $\frac{5}{6}$ )=Cos45°

equating corresponding value

(x- $\frac{5}{6}$ )=45°

x=45°+5/6

x=45.83°

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2 years ago

Solve (t-5) = 2 where t is a real number.<br> Simplify your answer as much as possible.

In-s [12.5K]

Answer:

Step-by-step explanation:

T-5=2 2+5=7

7 0

3 years ago