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user100 [1]
2 years ago
9

[1 -4 3 5]+[-2 6 -2 4]

Mathematics
1 answer:
Rasek [7]2 years ago
4 0

Step-by-step explanation:

[1-2 -4+6 3-2 5+4]

[-1 2 1 9]

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What are the partial products to 32 x 405?<br> (35 points)
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Answer:

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Step-by-step explanation:

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3 years ago
Isabelle runs a restaurant that offers a children's menu. This past week, 20 children ate at her restaurant, and 8 of them order
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Fraction=8/20 kids ate a grilled cheese at her restaurant in the last week. This simplifies to 2/5. Therefore the probability that a randomly selected child at her restaurant is eating a grilled cheese is 2/5.
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2 years ago
Convert 240 yards per hour (yd/h) to yards per minute (yd/min).
krek1111 [17]

9514 1404 393

Answer:

  4 yd/min

Step-by-step explanation:

Change 1 hour to 60 minutes.

  (240 yd)/(1 h) = (240 yd)/(60 min) = 4 yd/min

6 0
3 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)

6 0
3 years ago
1. Which of the given equations are linear? ​
jeka57 [31]
Which equation do you mean?
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3 years ago
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