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erma4kov [3.2K]
3 years ago
14

What is 2 accomplishments Katherine Johnson made

Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0
In 1957, Katherine provided some of the math for the 1958 document notes on space technology. She made contributions to the United States aeronautics and space programs with NASA
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THE DISTANCE IS 7 UNITS
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2 years ago
The rate of change of the number of mountain lions N(t) in a population is directly proportional to 725 - N(t), where t is the t
wolverine [178]

Answer:

a) The implied differential equation is \frac{dN}{725 - N} = kdt

b) The general equation is N = 725 - C e^{-kt}

c) The particular equation is N = 725 - 325 e^{-0.49t}

d) The population when t = 5, N(5) = 697 = 700( to the nearest 50)

Step-by-step explanation:

The rate of change of N(t) can be written as dN/dt

According to the question, \frac{dN}{dt} \alpha (725 - N(t))

\frac{dN}{dt} = k (725 - N)\\\frac{dN}{725 - N} = kdt

Integrating both sides of the equation

\int {\frac{1 }{725 - N}} \, dN  = \int {k} \, dt\\- ln (725 - N) = kt + C\\ ln (725 - N) = -(kt + C)\\725 - N = e^{-(kt + C)} \\725 - N = e^{-kt} * e^{-C} \\725 - N = C e^{-kt}\\N = 725 - C e^{-kt}

When t = 0, N = 400

400 = 725 - C e^{-k*0}\\400 = 725 - C\\C = 725 - 400\\C = 325

When t = 3,  N = 650

650 = 725 - (325 * e^{-3k})\\325 * e^{-3k} = 75\\e^{-3k} = 75/325\\e^{-3k} = 0.23\\-3k = ln 0.23\\-3k = -1.47\\k = 1.47/3\\k = 0.49

The equation for the population becomes:

N = 725 - 325 e^{-0.49t}

At t = 5, the population becomes:

N = 725 - 325 e^{-0.49*5}\\N = 725 - 325 e^{-2.45}\\N = 696.95\\N(5) = 697

N(5) = 700 ( to the nearest 50)

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Step-by-step explanation:

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Find the volume<br> I’ll mark brainliest
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Step-by-step explanation: pi x 2^2x 6= 25.13

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This is an approximate number but it should be correct

:)

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3 years ago
PLEASE ANSWER NUMBER 2 HELP WILL GIVE BRAINLIEST
german

Answer:

The measure of each angle remains the same after each transformation. The reason is because when you undergo a reflection, a rotation, or a translation, the triangle remains the same size and shape (congruent), therefore there is no change to the angles. The only thing changing is the position of the shape.

Step-by-step explanation:

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