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nadya68 [22]
3 years ago
7

A colony of 2^120 bacteria occupies a total volume of 1.3*10^15*m^3

Mathematics
1 answer:
finlep [7]3 years ago
8 0
The complete question is 
A colony of  <span>2^120 bacteria occupies a total volume of </span><span>1.3 x 10^15 m^3. The surface area of a planet is approximately 5.42 x 10^14 m^2. </span>
<span>Complete parts​ (a) and​ (b) below. </span>

<span>a) Assume that the bacteria are distributed uniformly over the​ planet's surface. How deep would the bacterial layer​ be? (You can find the approximate depth by dividing the bacteria volume by the​ planet's surface​ area.) </span>
<span>____m </span>

<span>b) Would the bacteria be​ knee-deep, more than​ knee-deep, or less than​ knee-deep? </span>

<span>A. The bacteria would be less than​ knee-deep. </span>
<span>B. The bacteria would be more than​ knee-deep. </span>
<span>C. The bacteria would be​ knee-deep. </span>
<span>D. It depends on the height of the person
</span>
Part a) 
Find the approximate depth 
<span>= (bacteria volume / planet surface area) </span>
<span>= (1.3 x 10^15 m³) / (5.42 x 10^14 m²) </span>
<span>= 2.4 m 
</span>
the answer Part a) is 
2.4 m

Part b) 
No information is given about the height of the 'people' on this planet, and hence we cannot guess at their average knee height. 
<span>2.4 meters is about 7.9 feet. That is obviously above the knee for any human, but. again, the question does not explicitly state that we are talking about Earth and humans
</span>
therefore

the answer part b) is the option
D. It depends on the height of the person
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The sum of two numbers is 100, the difference between the two numbers is 26. What is the number that is less?
Zepler [3.9K]
The numbers that would be smaller would be the two with the difference of 26.
27-1=26 where as, if you were to use a 1 in each, 99+1= 100. Therefore 27 and 1 (28) is less than 99 and 1 (100).

6 0
3 years ago
If f'(x)=2/x and f(sqrt(e))=5, then f(e)=
docker41 [41]
f'(x)=\dfrac2x
\implies f(x)=\displaystyle\frac2x\,\mathrm dx=2\ln|x|+C

f(\sqrt e)=5\implies 5=2\ln|\sqrt e|+C
\implies 5=\dfrac22\ln e+C
\implies C=4
\implies f(x)=2\ln|x|+4
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3 0
3 years ago
Which function is the inverse of ?<br> f(x)=50,000(0.8)^x
IrinaK [193]
Answer:

<span>y=<span><span><span>log<span>(x)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8)</span></span></span></span>

Explanation:

write as : <span>y=50000<span><span>(0.8)</span>x</span></span>

Taking logs:

<span><span>log<span>(y)</span></span>=<span>log<span>(50000)</span></span>+<span>log<span>(.<span><span>(0.8)</span>x</span>.)</span></span></span>

But <span>log<span>(.<span><span>(0.8)</span>x</span>.)</span></span> is the same as <span>x<span>log<span>(0.8)</span></span></span>

Thus
<span>x=<span><span><span>log<span>(y)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8<span>)

</span></span></span></span></span>Now swap the x'x and the y's giving:<span><span><span><span><span>
</span></span></span></span></span>

<span>y=<span><span><span>log<span>(x)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8<span>)

my teacher helped a little bit


</span></span></span></span></span>

4 0
3 years ago
8 + 3b = -13<br> help pleaseee
sergiy2304 [10]
8 + 3b= -13
-8. -8
3b= -21
Divide by 3
B= -7
5 0
3 years ago
Read 2 more answers
Please help me with this
Nata [24]

Answer: 5

Step-by-step explanation:

4 0
2 years ago
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