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mihalych1998 [28]
3 years ago
8

The cells of a certain culture of bacteria double every 6 minutes. If the culture contains 100 cells in the beginning, then the

total number of cells P in this culture after t minutes is given by the exponential equation P = 100(2)t/6. Identify the number of minutes it will take for the number of cells to exceed 50,000.
A) 53 min
B) 49 min
C) 48 min
D) 54 min
Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0

Since the growth is exponential, therefore I believe the correct form of the equation is:

P = 100 (2)^(t / 6)

Where t / 6 is the exponent of 2

So to find for the amount of time needed to exceed the population of 50,000, all we have to do is to plug in that value in the equation and find for t. Therefore:

P = 100 (2)^(t / 6)

50000 = 100 (2)^(t / 6)

500 = 2^(t / 6)

log 500 = (t / 6) log 2

t / 6 = log 500 / log 2

t = 6 * 8.96578

t = 53.8 mins = 54 mins

 

Answer:

<span>D. 54 min</span>

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Answer:

42666 cases

Step-by-step explanation:

P = (Marginal Loss)/ (Marginal Loss + Marginal Profit)

P = (35)/(35+15) = 0.7

Considering a normal distribution we can find the corresponding z value by P = 0.7 (which represented the shaded area under the curve)

z = 0.5244

z = (X - Mean Sales)/Standard Deviation

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X = 42666.42 ≅  42666

6 0
3 years ago
For which value of theta is tan theta equal to sin theta?
dedylja [7]
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7 0
3 years ago
Point O is the center of the circle. What is the value of X? <br> Answer options: 64, 54, 34, 44.
makkiz [27]

Answer:

34°

Step-by-step explanation:

The angle made when a tangent and a radius intersect=90°

Therefore angle OQP =90°

The triangle made by the two radii is isosceles ( base angles are equal) hence angle POQ=180-2(62)

=56°

The right triangle  OPQ can hence be solved as follows

angle POQ=56°

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4 0
3 years ago
Identify the area of the trapezoid.
AveGali [126]

Answer:

112x m^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+ b2) h

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A = 1/2 ( 11x+17x) * 8

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N76 [4]

Answer:

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Explaination:

because there's 12 months in a year

I hope this is right

8 0
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