Researchers recorded that a group of bacteria grew from 200 to 1,000 in 8 hours. At this rate of growth, how many bacteria will there be in 20 hours from the start of the experiment

Answers

Answer 1
Answer:

Answer:

  11,180

Step-by-step explanation:

The usual assumption for organic growth is that it is exponential. Here, the number increased by a factor of 1000/200 = 5 in 8 hours. For t in hours, a model for population might be ...

  b = (initial value)·(growth factor)^(t/(period of growth))

  b = 200(5^(t/8))

Using t = 20, the predicted population is ...

  b = 200(5^(20/8)) = 200·5^2.5 ≈ 11,180

There might be about 11,180 bacteria in 20 hours.


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What is the area of wxy?

Answers

A = ¹/₂bh
A = ¹/₂(18)(8)
A = ¹/₂(144)
A = 72 m²

6h+9 is greater than 51​

Answers

Answer:

h > 7

Step-by-step explanation:

6h + 9 > 51

    -9       -9

6h > 42

/6      /6

h > 7

Hope this helps!

Which is the graph of f(x) = x2 – 2x + 3?

Answers

Answer:

It's the first graph :D

Step-by-step explanation: hope it helps ^w^

Answer:

The correct answer is:

The graph will be the same width as the parent graph f(x) = x², but the vertex has been shifted to (1, 2).

Step-by-step explanation:

Since the value of a, the coefficient of x², is 1, this means the graph has not been stretched or shrunk. However, since the function is different than f(x)=x², we know that the vertex is not at (0, 0). We can write the function in vertex form to find the new vertex.

To write the function in vertex form, we find the value of b/2. The value of b in this function is -2; -2/2 = -1. We then square this: (-1)² = 1. This is what we add and subtract to the function (we must do both to preserve equality), giving us:

f(x) = x²-2x+1+3-1

The first three terms of this function can be written as the square (x+(b/2))²; this is (x-1)², and gives us f(x) = (x-1)²+3-1. Combining like terms, we have:

f(x) = (x-1)²+2

This is vertex form, f(x) = a(x-h)²+k, where (h, k) is the vertex. This means the vertex is at (1, 2) instead of (0, 0).

Teresa recorded the number of drinks of each type that she sold on Monday and Tuesday. She sold 300 drinks each day.Which drink represents of the sales for the day?

Two two-column tables titled Drinks Sold on Monday and Drinks Sold on Tuesday. In the Monday table, data are Orange juice 150, Grape juice 34, Water 100, Apple juice 16. In the Tuesday table, data are Orange juice 50, Grape juice 65, Water 85, Apple juice 100.













A.

Orange juice sold on Monday






B.

Orange juice sold on Tuesday






C.

Water sold on Monday






D.

Grape juice sold on Tuesday

Answers

water sold on Monday

Answer:

the other guy was WRONG, its OJ sold on Tuesday.

I got a 60% thansk to him -_-

Bob and James are finishing the roof of a house =. Working alone, Bob can shingle the roof in 10 hours. James can shingle the roof in 16 hours. How long will it take them working together to shingle the roof? Round your answer to the nearest hundredth if necessary.A) 13 hours
B) 26.67 hours
C) 6.15 hours
D) 0.04 hours

Answers

Bob can do a tenth of the roof in an hour
James can do a sixteenth in an hour

Bob can do 16/160 of the roof in an hour
James can do 10/160 of the roof in an hour

Together they do 26/160 of the roof in an hour
160/26 = 6.15 (to 2 d.p.)

A group of scientist study the effect of chemical on Various strains of bacteria. Strain A started with 6000 cells and decreases at a constant rate of 2000 cells per hour after the chemical was applied. strain B started with 2000 cells and decreased at a constant rate of 1000 cells per hour after the chemical was applied. when will just strains have the same number of cells? explain

Answers

so
number in a=6000-2000x where x=number of hours

number in b=2000-1000x

when will a=b
so set them equal to each other and solve
6000-2000x=2000-1000x
subtract 6000 from both sdies
-2000x=-4000-1000x
add 1000x to both sdies
-1000x=-4000
multiply -1
1000x=4000
divide by 1000
x=4

in 4 hours, they will be the same, but, their numbers will be negative, so there is actually no real life time when they will be the same observe
1 hour:  a=4000, b=1000
2 hour a=2000 b=0
3 hour  a=0  b=-1000
4 hour a=-2000 b-=-2000
but you can't have -2000 cells, you can only have 0 or more than 0

Final answer:

Strain A and Strain B will have the same number of cells after 2 hours.

Explanation:

To find out when the two strains of bacteria will have the same number of cells, we need to calculate the time it takes for each strain to reach the same cell count. Let's start with Strain A, which decreases at a rate of 2000 cells per hour. We can set up an equation:

6000 - 2000t = 2000

Solving for t, we find that it will take 2 hours for Strain A to reach the same cell count as Strain B. Therefore, the two strains will have the same number of cells after 2 hours.

Learn more about Bacteria growth here:

brainly.com/question/6506516

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