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3 years ago

(2x-15)+11x=180 degrees, what is x?!?

1 answer:

7 0

(2x-15) + 11x = 180
Combine your like terms in get
13x - 15 = 180
Add 15 on both sides
13x - 15 = 180
+15 + 15
13x = 195
Divide each side by 13 and get
x = 15

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Determine determine whether the following geometric series converges or diverges. if the series converges find its sum.

Lilit [14]

For starters,

$\dfrac{3^k}{4^{k+2}}=\dfrac{3^k}{4^24^k}=\dfrac1{16}\left(\dfrac34\right)^k$

Consider the $n$ th partial sum, denoted by $S_n$ :

$S_n=\dfrac1{16}\left(\dfrac34\right)+\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\cdots+\dfrac1{16}\left(\dfrac34\right)^n$

Multiply both sides by $\frac34$ :

$\dfrac34S_n=\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\dfrac1{16}\left(\dfrac34\right)^4+\cdots+\dfrac1{16}\left(\dfrac34\right)^{n+1}$

Subtract $S_n$ from this:

$\dfrac34S_n-S_n=\dfrac1{16}\left(\dfrac34\right)^{n+1}-\dfrac1{16}\left(\dfrac34\right)$

Solve for $S_n$ :

$-\dfrac14S_n=\dfrac3{64}\left(\left(\dfrac34\right)^n-1\right)$

$S_n=\dfrac3{16}\left(1-\left(\dfrac34\right)^n\right)$

Now as $n\to\infty$ , the exponential term will converge to 0, since $r^n\to0$ if $0$ . This leaves us with

$\displaystyle\lim_{n\to\infty}S_n=\lim_{n\to\infty}\sum_{k=1}^n\frac{3^k}{4^{k+2}}=\sum_{k=1}^\infty\frac{3^k}{4^{k+2}}=\frac3{16}$

8 0

3 years ago

Read 2 more answers

15=―2<br><br>a. x = 7.5b. x = -7.5c. x = d. ―215=215

skad [1K]

Answer:

i think it is a

Step-by-step explanation:

5 0

3 years ago

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julia-pushkina [17]

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3 years ago

Which of the following is a factor of 10x2 − 19x + 6?

ozzi

9 and 4 are the factors

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3 years ago

People pay to visit a stately home.

Goryan [66]

Answer: 2598.8

Solution:
Step one: 49•12.80 = 627.2 (the amount that people under 16 payed)
Step two: 155-49=106 (the amount of people over 16)
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7 0

2 years ago