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2 years ago

Solve for x, round to the nearest hundredths place.

Mathematics

1 answer:

Maurinko [17]2 years ago

3 0

Answer:

2.33333

Step-by-step explanation:

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Please help I'm on a test right now!!

Svetach [21]

The answer would be 7-x.

8 0

2 years ago

Read 2 more answers

The equation of a line is y = 8x + 2, and the point (3,q) lies on this line.

never [62]

Answer:

q = 26

Step-by-step explanation:

Given the point (3, q ) lies on the line then the coordinates satisfy the equation.

Substitute x = 3, y = q into the equation

q = 8(3) + 2 = 24 + 2 = 26

8 0

2 years ago

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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

2 years ago

What is 532.60 × 8.53 with work included?

zalisa [80]

532.60

x 8.53

--------------------------------

159780

+ 2663000

42608000

---------------------------

4543.0780

6 0

2 years ago

Find the product: (2x –2)(x –1)a.2x2 + 4x -2b.2x2 + 4x + 2c.2x2 -4x + 2d.2x2+ 2

lesya [120]

FOIL:

First:

2x^2

Outside:

-2x

Inside:

-2x

Last:

Put it together:

2x^2 -2x -2x +2

combine like terms:

2x^2 - 4x +2

3 0

2 years ago