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3 years ago

11

What is the LCD of -3/14 and 1/10 is ?

1 answer:

White raven [17]3 years ago

8 0

The least common denominator is 70 because both 14 and 10 go into 70.

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prohojiy [21]

I only know number 2, the diameter is T to P

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3 years ago

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

2 years to 9 months in ratio

baherus [9]

Answer:

Step-by-step explanation:

24/9 would be 8:3

Hope this helps :)

6 0

3 years ago

Read 2 more answers

Write the point-slope form of the equation of the line through the given point with the given

UNO [17]

Answer:

The point-slope form of the equation is:

$y-\left(-5\right)=-3\left(x-3\right)$

Step-by-step explanation:

Given

point (3, -5)

slope = -3

We know the point-slope form of the line equation is

$y-y_1=m\left(x-x_1\right)$

where m is the slope

substituting the values m = -3 and the point (3, -5)

$y-y_1=m\left(x-x_1\right)$

$y-\left(-5\right)=-3\left(x-3\right)$

Thus, the point-slope form of the equation is:

$y-\left(-5\right)=-3\left(x-3\right)$

6 0

3 years ago

From 1-36 how many odd numbers are present ?

Ierofanga [76]

Answer:

There are 18 odd numbers

Step-by-step explanation:

1,3,5,7,9,11,13,15,17, 19,21,23, 25,27,29,31,33,35

6 0

4 years ago