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2 years ago

A city has an elevation of -752 feet. Which statement describes the city's elevation?

Mathematics

2 answers:

Andrews [41]2 years ago

7 0

Answer:

The answer is C my good sir

Step-by-step explanation:

yan [13]2 years ago

7 0

Second answer since it’s negative meaning it’s below sea level

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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

State the two quantities that are being compared in each rate. Then calculate the equivalent unit rate.

stealth61 [152]

101.25 dollars are being compared to 9 hours. The unit rate is 11.25 dollars

6 0

2 years ago

PLZ HELP ME WITH THIS WILL GIVE BRAINLIEST

frozen [14]

Answer:

Step-by-step explanation:

7 0

2 years ago

Plz help out I’ll give brainliest :)

saveliy_v [14]

Answer:6,10 I think

Step-by-step explanation:

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3 years ago

Concrete is made by mixing cement, sand, and

prohojiy [21]

Answer:

Step-by-step explanation:

Sum the parts of the ratio, 5 + 9 + 13 = 27 parts

Divide the amount of concrete by 27 to find the value of one part of the ratio.

324 ÷ 27 = 12 ← value of 1 part of the ratio , thus

5 parts = 5 × 12 = 60 ← cement

9 parts = 9 × 12 = 108 ← sand

13 parts = 13 × 12 = 156 ← gravel

5 0

2 years ago

Read 2 more answers