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Jobisdone [24]
3 years ago
5

Please help me ASAP!!

Mathematics
1 answer:
nydimaria [60]3 years ago
8 0

Answer:

(-4,4) (3,-4) is the answer

Step-by-step explanation:

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An airplane cuts through the morning sky for every 1,000 feet that he climbs the outside temperature drops 20° f what is the rat
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Given :

An airplane cuts through the morning sky for every 1,000 feet that he climbs the outside temperature drops 20° F.

To Find :

The rate of the temperature change in degrees Fahrenheit per foot.

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Let, rate of the temperature change in degrees Fahrenheit per foot is x.

So,

x = \dfrac{20}{1000}\ ^oF/foot\\\\x = 0.02 ^oF/foot

Therefore, rate of the temperature change in degrees Fahrenheit per foot is 0.02.

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3 years ago
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4 0
3 years ago
A population of 490 bacteria is introduced into a culture and grows in number according to the equation below, where t is measur
Lera25 [3.4K]

Answer:

Rate of growth of bacteria when t=2 is 3.09 bacteria/hour

Step-by-step explanation:

As equation is not given so considering the Equation of growth of bacteria as

P=490(1+\frac{4t}{50+t^{2}})

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\frac{dP}{dt}=\frac{d}{dt}490(1+\frac{4t}{50+t^{2}})\\\\\frac{dP}{dt}=490(\frac{d}{dt}(1)+\frac{d}{dt}(\frac{4t}{50+t^{2}}))\\\\\frac{dP}{dt}=490(0+\frac{4(50+t^{2})-(4t)(2t)}{(50+t^{2})^{2}})\\\\\frac{dP}{dt}=490(\frac{200+4t^{2}-8t^{2}}{(50+t^{2})^{2}})\\\\\frac{dP}{dt}=490(\frac{4(50-t^{2})}{(50+t^{2})^{2}})\\\\at\,\,t=2hours\\\\\frac{dP}{dt}=490(\frac{4(50-(2)^{2})}{(50+(2)^{2})^{2}})\\\\\\\frac{dP}{dt}=490(\frac{4(50-4)}{(50+4)^{2}})\\\\=3.09

Rate of growth of bacteria when t=2 is 3.09 bacteria/hour

8 0
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