What is the equation of the line that passes through the point (-7, 2) and has a slope of -1?

A culture started with 4,000 bacteria. After 5 hours, it grew to 4,800 bacteria. Predict how many bacteria will be present after

eimsori [14]

First we need to find k ( rate of growth)
The formula is
A=p e^kt
A future bacteria 4800
P current bacteria 4000
E constant
K rate of growth?
T time 5 hours
Plug in the formula
4800=4000 e^5k
Solve for k
4800/4000=e^5k
Take the log for both sides
Log (4800/4000)=5k×log (e)
5k=log (4800/4000)÷log (e)
K=(log(4,800÷4,000)÷log(e))÷5
k=0.03646

Now use the formula again to find how bacteria will be present after 15 Hours
A=p e^kt
A ?
P 4000
K 0.03646
E constant
T 15 hours
Plug in the formula
A=4,000×e^(0.03646×15)
A=6,911.55 round your answer to get 6912 bacteria will be present after 15 Hours

Hope it helps!

4 0

3 years ago

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Tess and Alice are both on the swim team. Last practice, they each swam laps for the same amount of time, but Tess finished more

beks73 [17]

Answer:

wait so what is the numbers of distance they have swam?

Step-by-step explanation:

4 0

3 years ago

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PLEASE HELP Which expression represents the difference quotient of the function f (x) = negative StartRoot 2 x EndRoot?

natali 33 [55]

Answer:

c is the correct option

Step-by-step explanation:

from,

f'(x) = h >0 f(x + h) - f(x)

h

f(x) = - √2x

f(x + h) = - √(2x + h)

f'(x) = h>0 -√(2x + h) - √2x

h

rationalize the denominator

= h>0 -√(2x + h) + √2x (-√(2x + h) - √2x)

h (-√(2x + h) - √2x)

= h>0 4x + 2h - 4x

h(-√(2x + h) -√2x)

= h>0 2h

h(-√(2x+h) - √2x)

= h>0  2 

-√(2x+h) - √2x

5 0

3 years ago

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Solve w2 =64 where w is a real number

Deffense [45]

Answer:

w=32

Step-by-step explanation:

32*2=64

5 0

3 years ago

I need help ASAP I’ll give brainliest:)

olya-2409 [2.1K]

Volume of the cone:

V = 3.14 x 3^2 x 9/3 = 84.78

Volume of half sphere on top of cone:

V = (4/3 x 3.14 x 3^3 )/2 = 56.52

Total volume = 56.52 + 84.78 = 141.3 cm^3

4 0

3 years ago

What is the equation of the line that passes through the point (-7, 2) and has a slope of -1?​

What is the equation of the line that passes through the point (-7, 2) and has a slope of -1?