Item 1 What is the slope of this graph? 4 −4 1/4 −1/4

What is sixty-five hundred in standard form

Lesechka [4]

6,500 - standard form is when you are writing the number (converting from written to numeric form)

5 0

4 years ago

Find the sum of the series Summation from n equals 1 to infinity (StartFraction 3 Over StartRoot n plus 2 EndRoot EndFraction mi

Marizza181 [45]

Looks like the series is supposed to be

$\displaystyle\sum_{n=1}^\infty\frac3{\sqrt{n+2}}-\frac3{\sqrt{n+3}}$

The series telescopes; consider the $k$ th partial sum of the series,

$S_k=\displaystyle\sum_{n=1}^k\frac3{\sqrt{n+2}}-\frac3{\sqrt{n+3}}$

$S_k=\displaystyle\left(\frac3{\sqrt3}-\frac32\right)+\left(\frac32-\frac3{\sqrt5}\right)+\cdots+\left(\frac3{\sqrt{k+1}}-\frac3{\sqrt{k+2}}\right)+\left(\frac3{\sqrt{k+2}}-\frac3{\sqrt{k+3}}\right)$

$\implies S_k=\dfrac3{\sqrt3}-\dfrac3{\sqrt{k+3}}$

As $k\to\infty$ , the second term converges to 0, leaving us with

$\displaystyle\sum_{n=1}^\infty\frac3{\sqrt{n+2}}-\frac3{\sqrt{n+3}}=\frac3{\sqrt3}=\boxed{\sqrt3}}$

7 0

3 years ago

The sixth graders have a fundraising goal of $480. They have reached 3/4 of their goal so far. How much money have they raised?

melisa1 [442]

Answer:

$360

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

There are 97 students in South High School. South High School offers only Chinese and Spanish. There are 5 more students in Chin

Viefleur [7K]

Answer:

5

Step-by-step explanation:

Spanish: 46

Chinese: 51

Both languages: 46 - 41 = 5

Hope this helps

8 0

2 years ago

Decide if the following statement is true or false. A simple random sample of twelve 2+ bedroom houses in Rockingham County has

Leya [2.2K]

Answer:

Step-by-step explanation:

783

6 0

3 years ago