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Vsevolod [243]
2 years ago
6

Una población de bacterias crece de tal manera que la razón de crecimiento en el instante t (medido en horas) es igual a

Mathematics
1 answer:
Kazeer [188]2 years ago
6 0

By the fundamental theorem of calculus, if

p'(t) = 90t + 500/(1 + t)

and p(0) = 2000, then

p(t) = p(0) + ∫₀ᵗ p'(u) du

⇒   p(t) = 2000 + ∫₀ᵗ (90u + 500/(1 + u)) du

⇒   p(t) = 2000 + (45u² + 500 ln|1 + u|)₀ᵗ

⇒   p(t) = 2000 + 45t² + 500 ln|1 + t|

Then after t = 3 hours, the population of bacteria would be

p(3) = 2000 + 45•3² + 500 ln(1 + 3) ≈ 3098

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(x2 – 3x + 2)/(4x - 16)
Tom [10]

Answer:

Pretty sure it's x^2−3x+2/4x-16  

Step-by-step explanation:

8 0
3 years ago
Haleigh split 4/9 of a gallon of juice into 8 cups. How much juice was in each cup?
Brut [27]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>1/18 of a gallon of juice in each cup.</em>

▹ Step-by-Step Explanation

Since we have 4/9 of a gallon of juice for 8 cups, we will divide to find the amount of juice in each cup.

\frac{4}{9} / 8

Since this operation is division, we have to change 8 to it's reciprocal which is 1/8:

\frac{4}{9}/ \frac{1}{8} = \frac{4}{72} = \frac{1}{18}

Our final answer will be 1/18 of a gallon of juice in each cup.

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

5 0
3 years ago
Write the equation of the line described in point-slope form. Then, change to Standard Form. Contains points (3/2,-1/2) and (-1/
larisa [96]
Slope point form :
To put in slope point form, label any of the points as either X1,y1 and X and y, then plug in those values into the following equation form.
Y - y1 = m(X-X1)

But before, we must solve for the m value or slope.
M = y2-y1/x2-X1
M = 5/2 - -1/2 / -1/2 - 3/2.
M = 5/2 + 1/2 / -(1/2+3/2)
M = 6/2 / -(4/2)
M = 3/-2

Now we can place it in slope point and also in standard form of a line.

Y-y1 = m(X -X1)

Y - -1/2 = -3/2(X - 3/2)

Y + 1/2 = -3/2(X - 3/2)

This is in slope point form.

Y + 1/2 = -3/2x + 9/4
Y + 1/2 - 1/2 = -3/2x + 9/4 - 1/2
1/2 = 2/4
Y = -3/2x + 7/4
-3/2x = -6/4x
Y = -6/4x + 7/4
Y • 4 = 4( -6/4 X + 7/4)
4y = -6x + 7
4y + 6x = -6x + 6x +7

6x + 4y = 7

This is in standard form. If you have any questions of the steps just ask.
4 0
3 years ago
How does the graph of the function f(x)=2x^3 - 1 differ from the graph of its parent function?
SOVA2 [1]

Answer:

here you go

Step-by-step explanation:

4 0
3 years ago
A class has 18 students. The teacher asks how many students in the class have pets. If 5/9 of the students have pets, how many s
Masja [62]
10 students would have pets because 10/18 is simplified to 5/9 I think
4 0
3 years ago
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