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Paha777 [63]
3 years ago
9

Scientists are studying the temperature on a distant planet. They find that the surface temperature at one location is 40° Celsi

us. They also find that the temperature decreases by 3° Celsius for each kilometer you go up from the surface.
Let T represent the temperature (in Celsius), and let H be the height above the surface (in kilometers). Write an equation relating T to H,
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
4 0

Answer:

T(h) = 20 - 3h

Step-by-step explanation:

We are told that for every km you go up, the temp goes down 3°.

Let's say you go up 1km, then the temp should be 17°. We can easily represent it by the equation: T(h) = 20 - 3h

If we go up 1km: T(1) = 20 - 3*(1) = 20 - 3 = 17°

If we go up 2km: T(2) = 20 - 3*(2) = 20 - 6 = 14°

If we go up 3km: T(3) = 20 - 3*(3) = 20 - 9 = 11°

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Marie's journal is 400 pages long. She has used 20% of the journal. How many pages has she used so far?
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Answer:

40/ or /80

Step-by-step explanation:

Because 400 is a lot and if it's 100% is 400 right so we do 80% what would that be? we don't know right.

What about 100 pages that would be (im pretty sure) 40% or 50%.

I hope this helped!!!

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2 years ago
A population of fish in a lake is 14000 in 2010. The population decreases 6% annually. What is the population in 2019
kodGreya [7K]

Answer:

8022.

Step-by-step explanation:

Let x be the number of years after 2010.

We have been given a population of fish in a lake is 14000 in 2010. The population decreases 6% annually.

We can see that population of fish is the lake is decreasing exponentially as it is decreasing 6% annually.

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

a = Initial value,

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

Let us convert our given decay rate in decimal form.

6\5=\frac{6}{100}=0.06

Upon substituting our given values in exponential form of function we will get the population of fish in the lake after x years as:

y=14,000*(1-0.06)^x

y=14,000*(0.94)^x

Let us find x by subtracting 2010 from 2019.

x=2019-2010=9

Upon substituting x=9 in our function we will get,

y=14,000*(0.94)^9

y=14,000*0.5729948022286167

y=8021.927\approx 8022

Therefore, the population of fish in 2019 will be 8022.

6 0
3 years ago
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