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2 years ago

NEED HELP!!!!

Mathematics

2 answers:

VARVARA [1.3K]2 years ago

6 0

Quadrant one only. as altitude decreases the atmospheric pressure decreses.

Setler79 [48]2 years ago

4 0

Hello! Just took the test:

As the altitude approaches sea level, the atmospheric pressure increases

and

The atmospheric pressure is 14lb/in^2 at sea level.

Also

Quadrants l and lV only

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I really need help on this question.!

IrinaVladis [17]

Answer:

$b = 135 \\ a + c = 45(ie \: 180 - 135) \\ a = \frac{45}{2} \\ a = 22.5$

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2 years ago

Solve the equation r+3 = 3(r-5)

Harrizon [31]

Answer:

r-9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

brainleist?

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2 years ago

Read 2 more answers

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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2 years ago

What is the distance traveled by a baseball in 1.7 s if the baseballs average speed is 22.4 m/s

Lapatulllka [165]

Equation:
Time*speed= distance
1.7(time)*22.4(speed)=38.08meter(distance)

7 0

3 years ago

Select the graph for the solution of the open sentence. Click until the correct graph appears. 2|x| + 1 < 5

Paul [167]

Answer:

The correct answer is x < 2 or x > -2. The graph would be a line between -2 and 2 with an open circle on both.

Step-by-step explanation:

To solve, first solve the equation for the absolute value portion of the equation.

2|x| + 1 < 5

2|x| < 4

|x| < 2

Now since there is an absolute value around it, we have to complete it for the positive and negative versions.

x < 2 OR x > -2

3 0

3 years ago