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Karolina [17]
3 years ago
15

A study is done on the number of bacteria cells in a petri dish. Suppose that the population size P() after I hours is given by

the following exponential
function.
P (t) = 1600(1.04)'
Find the initial population size.
0
Does the function represent growth or decay?
O growth O decay
By what percent does the population size change each hour?
Х
5 ?

Mathematics
1 answer:
kakasveta [241]3 years ago
5 0

Answer:

1600

growth

4%

Step-by-step explanation:

To solve this question, you must know what the equation really means.

P = population

t = time

1600 = initial population size

1.04 = is the percentage growth, (growth because it is greater than 1.)

So, the initial population size is 1600.

It is growth because the percentage is greater than 1.

(1.04 = 104%, 104%-100%=4%)

The population changes by 4%

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A ball is kicked into the air and follows the path described by h(t)= – 4.9t^2 + 6t + 0.6, where t is the time in seconds and h
miv72 [106K]
The maximum value can be determined by taking the derivative of the function.

(dh/dt) [h(t)] = h'(x) = -9.8t + 6

Set h'(x) = 0 to find the critical point

-9.8t + 6 = 0
-9.8t = -6
t = 6/9.8

Plug the time back into the function to find the height.

h(6/9.8) = -4.9(6/9.8)^2 + 6(6/9.8) + .6
= 2.4

And I don't understand your second question.
5 0
4 years ago
2x + 3y = -6<br> -2x + 3y = 6<br><br> How do I graph it
Elanso [62]

Answer:

(-3, 0)

Step-by-step explanation:

\:  \:  \: 2x + 3y =  - 6 \\ -2x + 3y =  \:  \:  \: 6   \\   \frac{ +  \:  \:  \:  \:  \:  \:  -   \:  \:  \:  \:  \:  \: =  - }{ }{}  \\  \:  \:  \:   4x \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   =  - 12 \\ \\  x =  \frac{ - 12}{4}  \\  \\ x =  - 3

now,

-2( - 3) + 3y = 6 \\  6 + 3y = 6 \\ 3y = 6 - 6 \\ 3y = 0 \\ y =  \frac{0}{ 3}  \\ y = 0

thus, (-3, 0)

3 0
3 years ago
A circle has a diameter of 18in is 1 in approximately 2.5 cm is what is a diameter in centimeters
sergejj [24]

Answer:

Answer: 45

Step-by-step explanation:

Well it seems like your answer would follow along with is:

`18x2.5=45

Hope this helps good sir!

3 0
3 years ago
The diagram shows a square-based cuboid.
san4es73 [151]

Answer:

wgxvbdx

Step-by-step explanation:

sorry

7 0
3 years ago
Need help with this question!!!<br> Pls explain!!!<br><br> 3=-(4x+7)+3x
natka813 [3]

The answer would be, x = 10

6 0
3 years ago
Read 2 more answers
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