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Lelechka [254]
4 years ago
8

the average human breathes approximately 12 times per minute. it would take approximately how many minutes to breathe one billio

n times
Mathematics
2 answers:
g100num [7]4 years ago
6 0

Answer:

83,333,333.3 minutes

Step-by-step explanation:

The average human breaths per minute approximately = 12 times

We have to calculate the time of breathing one billion times.

So we will divide one billion by 12.

Time taken to breath one billion times =  (\frac{1,000,000,000}{12})

                                                                = 83,333,333.3 minutes

It will take 83,333,333.3 minutes to breath one billion times.

Aleks [24]4 years ago
3 0
83,333,333.3333333 min
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How many different ways can teams of four members be formed from a class of 20?
guapka [62]
Assuming you want to choose 4 people from the class of 20; 

Begin by using the combinations formula; 

20C4=4845 possibilities 

Hope I helped :) 
4 0
3 years ago
Write the sum and the expression in standard form. <br><br><br><br> − − 11 and the opposite of −11
Kobotan [32]

Answer:

Step-by-step explanation:

There are no categorical antonyms for eleven. The numeral eleven is defined as: The cardinal number occurring after ten and before twelve.

7 0
3 years ago
You purchase a stereo system for $830. The value of the stereo system decreases 13% each year. a. Write an exponential decay mod
lorasvet [3.4K]

Answer:

a. y=830*(0.87)^x

b. The value of stereo system after 2 years will be $628.23.

c. After approximately 4.98 years the stereo will be worth half the original value.

Step-by-step explanation:

Let x be the number of years.

We have been given that you purchased a stereo system for $830. The value of the stereo system decreases 13% each year.

a. Since we know that an exponential function is in form: y=a*b^x, where,

a = Initial value,

b = For decay b is in form (1-r), where r is rate in decimal form.

Let us convert our given rate in decimal form.

13\%=\frac{13}{100}=0.13

Upon substituting our given values in exponential decay function we will get

y=830*(1-0.13)^x

y=830*(0.87)^x

Therefore, the exponential model y=830*(0.87)^x represents the value of the stereo system in terms of the number of years since the purchase.

b. To find the value of stereo system after 2 years we will substitute x=2 in our model.

y=830*(0.87)^2

y=830*0.7569

y=628.227\approx 628.23

Therefore, the value of stereo system after 2 years will be $628.23.

c. The half of the original price will be \frac{830}{2}=415.

Let us substitute y=415 in our model to find the time it will take the stereo to be worth half the original value.

415=830*(0.87)^x

Upon dividing both sides of our equation by 830 we will get,

\frac{415}{830}=\frac{830*(0.87)^x}{830}

0.5=0.87^x

Let us take natural log of both sides of our equation.

ln(0.5)=ln(0.87^x)

Using natural log property ln(a^b)=b*ln(a) we will get,

ln(0.5)=x*ln(0.87)

\frac{ln(0.5)}{ln(0.87)}=\frac{x*ln(0.87)}{ln(0.87)}

\frac{ln(0.5)}{ln(0.87)}=x

\frac{-0.6931471805599}{-0.139262067}=x

x=4.977286\approx 4.98

Therefore, after approximately 4.98 years the stereo will be worth half the original value.

5 0
3 years ago
Find the 100th term for the sequence. -9,-4, 1, 6, 11, .......
Paraphin [41]

Answer:

486

Step-by-step explanation:

for the 2nd term, add 5 to -9

for the 3rd, add 5 × 2 to -9

for the 4th, add 5 × 3 to -9

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for the 100th, add 5 × (100 - 1) to -9

=> 5 × 99 + (-9)

=> 486

8 0
3 years ago
Find two matrices A and B such that 2A-3B= [5 0
amm1812

The easy answer: If, say, B is the zero matrix, i.e.

B=\begin{bmatrix}0&0\\0&0\end{bmatrix}

then

2A=\begin{bmatrix}5&0\\-1&2\end{bmatrix}\implies A=\begin{bmatrix}\dfrac52&0\\\\-\dfrac12&1\end{bmatrix}

3 0
4 years ago
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