A culture is grown with a population of 45 million cells. The cell population is found to double every hour. What will the population be after four hours?

Answers

Answer 1

Answer: 45 million * $2^(4)$ = 45million * 16 = 720million

Or you can use
$y=Ae^(kt)$
A is equal to 45 million
To find the rate, k, we can plug in:
$90million=45million*e^(k*1)$
$2=e^(k)$
$k=ln(2)$
$y=4.5*10^(7)*e^(t *ln2)$
Knowing that t = 4
$y = 4.5*10^(7)*e^(ln(2)*4)$
$y = 720 million$

Answer 2

Answer: The population will be 360 million people after four hours

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Solve for x. 4−(2x+4)=5 A x=−52 B x=6 C x=32 D x=−10

Answers

Answer:

x = -5/2

Step-by-step explanation:

4−(2x+4)=5

Distribute the minus sign

4 - 2x -4 = 5

-2x =5

Divide by -2

-2x/-2 = 5/-2

x = -5/2

Answer:

x=-5/2

Step-by-step:

First we multiply -(2x+4) = -2x -4

Now the equation is 4-2x-4 = 5

Combine like terms.

4-4=0

-2x = 5

Divide both sides by -2

Therefore your answer is -5/2

Hope this helps!

The sum of two times a number and 5 more than the number is the same as the difference between -15 and twice the number. What is the number?

Answers

(2x)(x+5) = 2x-15

4x^2 + 5x = 2x-15

4x^2 = 7x -15

16x = 7x - 15

16x + 15 = 7x

2 2/7 + 2 1/7 = x

x = 4 3/7

If a = -2, b= -5, and c = -6, then a - b + c =

(Hint: NOT -1 or -13)

Answers

Answer:

-3

Step-by-step explanation:

= -2-(-5)+-6

= -2-(-5)-6

= -2--5-6

= -2+5-6

= -3

A law firm charges $100 per hour for the first 3 hours plus a $300 organization fee for its services. show work.

Answers

I believe it would be 100 * 3 + 300 = 600. But there isn't too much information to understand what you're asking.
Hope I helped anyways! :)

Ten times the sum of half a number and 6 is 8

Answers

10 times the sum of 1/2 of a number and 6 means 10(x/2+6)
is 8
=8

10((x/2)+6)=8
divide both sides by 10
(x/2)+6=0.8
minus 6 from both sides
x/2=5.4
times both sides by 2
x=10.8

the function g(x) is a transformation of the quadratic parent function, f(x) = x^2. What function is g(x)