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trasher [3.6K]
2 years ago
8

Please help asap!! thank you

Mathematics
1 answer:
svp [43]2 years ago
4 0

Answer:

51 degrees

Step-by-step explanation:

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A bacterial culture starts with 400 bacteria and grows at a rate proportional to its size. After 2 hours there will be 800 bacte
kotykmax [81]

Answer:

  1. P(t) = 400×2^(t/2)
  2. 6400
  3. 5.0

Step-by-step explanation:

The wording "a rate proportional to its size" is an indication that growth (or decay) is exponential.

1) For many problems involving exponential growth, I like to use the numbers given in the problem statement as follows.

  population = (initial population) × (growth factor)^(t/(growth period))

where the "growth period" is the period of time in which the population is multiplied by the "growth factor".

Here, we're given ...

  (initial population) = 400

  (growth factor) = 800/400 = 2

  (growth period) = 2 . . . . hours

So, our population function can be written as ...

  P(t) = 400×2^(t/2)

__

2) Putting t=8 into the formula, we get ...

  P(8) = 400×2^(8/2) = 400×16 = 6400

After 8 hours, the population will be 6400.

__

3) Fill in the given number and solve for t.

  2270 = 400×2^(t/2)

  2270/400 = 2^(t/2)

Taking logs, we have ...

  log(227/40) = (t/2)log(2)

  t = 2×log(227/40)/log(2) ≈ 5.009

After 5.0 hours, the population will reach 2270.

7 0
3 years ago
Simplify 2a - 2/3b - 4 1/2a - 1/6b
ale4655 [162]
Answer can be wrote in two ways. -2.5a-5/6b or -5a/2-5b/6
4 0
3 years ago
The area of a square is 36 square inches. What is the length of each side of this square?
S_A_V [24]
B) 6
area of square = s^2
s^2 = 36
s = 6
5 0
2 years ago
Read 2 more answers
Ms.Hatcher bought a pencil decoration shown below for her bulletin board. If a= 11 in and b= 25in what is the area of this penci
andriy [413]

Answer:

The area of the pencil is 36 inches.

Step-by-step explanation:

3 0
2 years ago
X² - 4x +40=0<br> How do I solve this
sineoko [7]

Answer:

x = 2 + 6i, x - 6i.

Step-by-step explanation:

To factor this you need 2 numbers whose product is + 40 and whose sum is -4. There are no such numbers so we could use the method of completing the square:

x^2 - 4x + 40 = 90

x^2 - 4x = -40

(x - 2)^2 - 4 = -40

(x - 2)^2 = -36     -  So the roots are complex numbers:

x - 2 = +/-√36

x = 2 + 6i, x - 6i.

8 0
3 years ago
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