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solmaris [256]
3 years ago
8

Image for question below

Mathematics
1 answer:
navik [9.2K]3 years ago
3 0
The answer is k = - 50
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The population of a certain species of insects increases exponentially according to the model, P(0) = 952e0.12t where P is the n
NeX [460]
Answer:

A) 952 insects are in the original colony

B) 10494 insects are in the colony after 20 weeks

C) 25 weeks

Explanations:

The model representing the population of the species of insects

P(t)=952e^{0.12t}

An exponential growth is of the form:

P(t)=P_0e^{kt}

where P₀ is the original population

t is the time taken in weeks

Comparing the two equations:

P_0=\text{ 952}

952 insects are in the original colony

B. The number of insects that will be in the colony after 20 weeks

Substituting t = 20 into the function given

\begin{gathered} P=952e^{0.12(20)} \\ \text{P = }10494 \end{gathered}

C) If the population, P = 20000

\begin{gathered} 20000=952e^{0.12t} \\ e^{0.12t}=\text{ }\frac{20000}{952} \\ e^{0.12t}=21.008 \\ 0.12t\text{ = ln(21.008)} \\ 0.12t\text{ = }3.04 \\ t\text{ = }\frac{3.04}{0.12} \\ t\text{ = }25 \end{gathered}

8 0
1 year ago
PLEASE HELP!!!<br> write a 10 line free verse poem about cosmetology
dalvyx [7]

Answer:

First, settle on a theme or event you'd like to write about. Try to set the scene in your head and go from there. Then write down some key words that relate to your story. Since you don't need to worry about matching up words and rhyming them, you should be able to incorporate most of these words in your poem

Step-by-step explanation:

Poem is,

When I sitting heard the astronomer where he lectured with much applause in the lecture-room,

How soon unaccountable I

became tired and sick,

Till rising and gliding out I

wander’d off by myself,

In the mystical moist night-air,

and from time to time,

Look’d up in perfect silence at the

stars.

3 0
3 years ago
Read 2 more answers
Taylor Swift bought 3 cokes and 2 hamburgers for $15. Kelly Clarkson bought 2 cokes and a hamburger for $9. How much did each co
Afina-wow [57]
$3 each cone I think
7 0
3 years ago
Please help will mark brainliest for the right answer
hodyreva [135]

Answer:

a).  x + y + 90° = 180°

b).  x = 67°

    y = 23°

Step-by-step explanation:

The sum of all angles in a triangle is 180°.

One of the angles in the figure is a right angle, or 90°.  Therefore the sum of the three angles in the figure is:

x + y + 90 = 180

We are also told that x + 2 = 3y.  

Rearranging that to isolate x gives us:  

x = 3y - 2

Thake the first equation and substitute the above expression of in place of x:

x + y + 90° = 180°

(3y-2) + y + 90° = 180°

4y + 88° = 180°

4 y = 92°

y = 23°

To find angle x, use y = 23°

x = 3y - 2

x = 3*(23°) - 2

x = 67°

The sum 90° + 67° + 23° = 180°

4 0
3 years ago
Which graph represents the function of f(x) = the quantity of 9 x squared minus 36, all over 3 x plus 6?
alexira [117]
F ( x ) = ( 3 x + 6 ) ( 3 x - 6 ) / ( 3 x + 6 ) = 3 x - 6
and for domain : 3 x + 6  ≠ 0
3 x ≠ - 6
x ≠ - 2
Answer:
C ) graph of 3 x - 6, with discontinuity at - 2.
4 0
3 years ago
Read 2 more answers
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