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3 years ago

If the measure of ZACB is 50 degrees, what is the measure of ZAOB?

Mathematics

1 answer:

saul85 [17]3 years ago

4 0

i dont get it...what are the elements of each letter?

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10 times as many as blank tens is 30 tens

yKpoI14uk [10]

The answer to that question will be 3

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3 years ago

Ryan earned x number of dollars babysitting his little brother in July. His older

aliya0001 [1]

Answer:

Ryan earned $52 Mike earned $109 and Stormy earned $94

Step-by-step explanation:

x+2×+5+2x-10=255

5x-5=255

5x=260

x=52

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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

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

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3 years ago

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Describe the graph of the equation x = 7. Is the equation a function?

DerKrebs [107]

Answer:

no it is not, A

Step-by-step explanation:

functions are things which u can draw vertical lines through and it never intersects(one x value leads to exactly one y value) at more than one point so A because x=7 is infinite y values for one x value.

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3 years ago

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How many of hours of work is normal for a shift?

Ira Lisetskai [31]

Answer: 7-9

Step-by-step explanation: normal job hours

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2 years ago

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