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melisa1 [442]
3 years ago
6

3. A balloon with a small leak loses 0.5% of its volume each day. If it originally contained 40 liters of gas, what is the volum

e of the gas after one week?
Mathematics
1 answer:
qwelly [4]3 years ago
7 0
40*0,995=39,8
39.8*0,995=<span>39.601
</span>39.601*0,995=<span>39.402995
</span>39.402995*0,995=<span>39.205980025
</span>39.205980025*0,995=<span>39.0099501249
</span>39.0099501249*0,995=<span>38.8149003743
</span>38.8149003743*0.995=<span>38.6208258724
</span>math isnt wrong but idk if this is how its done bcs this method looks kinda weird
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Helppppppp<br> 3<br> Σ (2n – 3)<br> n=0
Nataly [62]

Since there are only 4 terms in the sum, it's not too much work to expand it as

\displaystyle \sum_{n=0}^3 (2n-3) = -3 + (-1) + 1 + 3 = \boxed{0}

Alternatively, we can use the well-known formulas

\displaystyle \sum_{n=1}^N 1 = \underbrace{1 + 1 + \cdots + 1}_{N \text{ 1s}} = N

\displaystyle \sum_{n=1}^N n = 1+2+\cdots+N = \frac{N(N+1)}2

These sums start at n = 0, so in our given sum we will keep track of the 0-th term separately:

\displaystyle \sum_{n=0}^3 (2n-3) = -3 + \sum_{n=1}^3 (2n-3) = -3 + 2 \sum_{n=1}^3 n - 3 \sum_{n=1}^3 1 = -3 + 3\times4 - 3\times3 = 0

as expected.

8 0
2 years ago
H(a)=2a+1; find h(-3)
prisoha [69]

Answer:

h(-3) = -5

Step-by-step explanation:

Replace a with -3 and simplify.

h(-3) = 2(-3) + 1

h(-3) = -6 + 1

h(-3) = -5

7 0
3 years ago
Read 2 more answers
Which fraction is equivalent to 0.36 (repeating 0.36666) 3/6 36/100 4/11 9/25
Dima020 [189]

Answer:

Step-by-step explanation:

3/6 is 0.5

36/100 is 0.36

4/11 is 0.363636

9/25 is 0.36

Hope it helped :)

5 0
4 years ago
Need help ASAP! Looking for someone to show work, it’s completely fine if you don’t tho!
andreyandreev [35.5K]
D since (-5 x -5) = 25 and (7 x -8) = -56. Add 25 and -56 and your answer is D. -31
5 0
3 years ago
All angles in the figure at the right are right angles what is the agree of the figure
wel

Answer:

Ans: 36

Step-by-step explanation:

just separate it into three rectangles and use the formula

A=l*b

and at last add all of them

6 0
3 years ago
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