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In-s [12.5K]
2 years ago
13

An epidemiologist is observing the growth pattern of a pathogenic bacteria. She starts with 20 bacteria that grow at a rate of 9

0% per hour. She will check on the bacteria in 16 hours. How many bacteria will she find? Round your answer to the nearest whole number.
Mathematics
1 answer:
Vlad [161]2 years ago
4 0

Answer:

Step-by-step explanation:

A= A0 e(r.t)

A= 20 e( 0.9*16)

A= 35,881,495.45

So bc they want to round to the nearest whole number

A= 35,881,495 the epidemiologist will find bacteria

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What is the equation of the line that has a slope of -2 and passes through the point (1,2)
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A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet
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Complete Question

A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet from the ground and he catches it when it is four feet from the ground,How long is the ball in the air?

Answer:

t\approx 0.1s

Step-by-step explanation:

From the question we are told that

Initial velocity  V_0= 18 ft/s

Initial Height    h_1=5feet

Final Height     h_2=4feet

Generally the Newtons equation for motion is mathematically given by

   V^2 = U^2 + 2as

Where

    s=h_2-h_1\\s=4-5\\s=-1ft

And

   a=g=>9.81\\a=32.2ft/s^2

Therefore

   V^2 = (18)^2 + 2(-32.2)(-1)

   V^2 = 388.4

   V =19.70786645\\V=19.71ft/s

Generally the equation for Time is mathematically Given as

   t=\frac{V-U}{a}

   t=\frac{19.71-18}{32.2}

   t=0.05310559006

   t\approx 0.1s

Therefore the time spent on air by the ball is

    t=0.05310559006s

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