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3 years ago

Solve for X can you show me how to do this problem.

Mathematics

2 answers:

sladkih [1.3K]3 years ago

5 0

Answer:

-4

Step-by-step explanation:

First you add together 75 + 65 to get 140 then you subtract that from 180 because 180° is the total of a triangle. Then you add -4 to 44 to get 40

love history [14]3 years ago

4 0

Answer:

-4

Step-by-step explanation:

75 + 65 = 140

triangle angels equal 180°

then x +44 = 180-140

x +44 = 40

x = 40-44

x = -4

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32 - 5x is greater than or equal to 7 - 5(x - 5)

Damm [24]

Answer:

True 32≥32

Step-by-step explanation:

32-5x≥7-5(x-5)

32-5x≥7-5x+25

32-5x≥32-5x

+5x +5x

32≥32

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

Write the ratio as a fraction in simplest form.<br> 10 feet to 5 yards

Alex17521 [72]

Answer:

1:0.33

Step-by-step explanation:

This is because one foot= .333 yards

I hope this is what you were asking! :)

3 0

3 years ago

12-y=2x-5 in slope-intercept form

Gemiola [76]

Answer: y = -2x + 7

Step-by-step explanation:

Slope intercept form is the same as solving for y in the equation .

So solve for y and it will be in slope intercept form.

12 - y = 2x + 5 Subtract 12 from both sides

-12 -12

-y = 2x -7 Now divide both sides by -1

y = -2x + 7

8 0

3 years ago

Use the drop-down menus to complete each equation so the statement about its solution is true. No Solutions 8x – 2 – 5x + 7 = x

SVEN [57.7K]

No solution is 3x + 4

One solution is 2x + 4

Infinitely many solution is 3x + 5

Step-by-step explanation:

5 0

3 years ago

Solve for X can you show me how to do this problem.​

Solve for X can you show me how to do this problem.