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2 years ago

15

YOur math teacher gives you a worksheet that has 20 problems. She tells you choose 3/4 of the problems can you skip? If you get

one third of the assigned problems done in class, how many problems do you have for homework?

1 answer:

sergiy2304 [10]2 years ago

3 0

Answer:

Step-by-step explanation:

mholwalker16

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What is the least even number you can make with the digits 5 2 7 3 6 4 0?

coldgirl [10]

0234576 You just need to put the numbers in order form least to greatest and leave an even number at the end.

5 0

3 years ago

For the following telescoping series, find a formula for the nth term of the sequence of partial sums

gtnhenbr [62]

I'm guessing the sum is supposed to be

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}$

Split the summand into partial fractions:

$\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}$

$1=a(5k+4)+b(5k-1)$

If $k=-\frac45$ , then

$1=b(-4-1)\implies b=-\frac15$

If $k=\frac15$ , then

$1=a(1+4)\implies a=\frac15$

This means

$\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}$

Consider the $n$ th partial sum of the series:

$S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)$

The sum telescopes so that

$S_n=\dfrac2{14}-\dfrac2{5n+4}$

and as $n\to\infty$ , the second term vanishes and leaves us with

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17$

7 0

3 years ago

QUESTION WORTH 15 POINTS!! FINALS!! NO WRONG ANSWERS PLEASE!!

Xelga [282]

Answer:

Somewhere around 27k

Step-by-step explanation:

4 0

2 years ago

This is due in an hour please be quick!!

erma4kov [3.2K]

Answer:

106 m^2

Step-by-step explanation:

First multiply the shaded area:

12 * 10 = 120

Then multiply the white space:

7 * 2 = 14

Then subtract the white space from the shaded area to find the area of only the shaded area.

120 - 14 = 106

Final answer: 106 m^2

I hope this helps!

6 0

2 years ago

Read 2 more answers

I'd really appreciate your help, please no joke answers

Lerok [7]

Answer:

d= 2√10

Step-by-step explanation:

y= 3x - 5

3x - y - 5=0

d= | 3* 7 +(-1) * (-4) + (+5) |

________________

$\sqrt{3^{2} } + (-1)^{2}$

d = | 20 | / $\sqrt{10}$

d = 20 / $\sqrt{10}$

d = 2 $\sqrt{10}$

3 0

3 years ago