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3 years ago

8 - 4 (1/8r - 3 1/2)

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

5 0

8-4(1/8r-3.5) Distribute -4
8-0.5r+14 Combine Like terms
22-0.5r Solved

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the sum of the measures of the angles in a triangle is 180°. What is the value of x in the triangle?

Allushta [10]

Answer:

x = 32

Step-by-step explanation:

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3 years ago

Answer this fraction math question and explain your answer PLEASE !

soldier1979 [14.2K]

Answer:

about 1/4 or 25%

Step-by-step explanation:

math bro

1/4 = 0.25

1/3 = 0.33

1/6 = 0.1666

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3 years ago

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Water is leaking out of a large barrel at a rate proportional to the square rooot of the depth of the water at that time. If the

sdas [7]

Answer:

It will take about 35.49 hours for the water to leak out of the barrel.

Step-by-step explanation:

Let $y(t)$ be the depth of water in the barrel at time $t$ , where $y$ is measured in inches and $t$ in hours.

We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

$\frac{dy}{dt}=-k\sqrt{y}$

where $k$ is a constant of proportionality.

Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:

Multiply by $\frac{1}{\sqrt{y}}$

$\frac{1}{\sqrt{y}}\frac{dy}{dt}=-k$

Multiply by $dt$

$\frac{1}{\sqrt{y}}\cdot dy=-k\cdot dt$

Take integral

$\int \frac{1}{\sqrt{y}}\cdot dy=\int-k\cdot dt$

Integrate

$2\sqrt{y}=-kt+C$

Isolate $y$

$y(t)=(\frac{C}{2} -\frac{k}{2}t)^2$

We know that the water level starts at 36, this means $y(0)=36$ . We use this information to find the value of $C$ .

$36=(\frac{C}{2} -\frac{k}{2}(0))^2\\C=12$

$y(t)=(\frac{12}{2} -\frac{k}{2}t)^2\\\\y(t)=(6 -\frac{k}{2}t)^2$

At t = 1, y = 34

$34=(6 -\frac{k}{2}(1))^2\\k=12-2\sqrt{34}$

So our formula for the depth of water in the barrel is

$y(t)=(6 -\frac{12-2\sqrt{34}}{2}t)^2\\\\y(t)=\left(6-\left(6-\sqrt{34}\right)t\right)^2\\$

To find the time, $t$ , at which all the water leaks out of the barrel, we solve the equation

$\left(6-\left(6-\sqrt{34}\right)t\right)^2=0\\\\t=3\left(6+\sqrt{34}\right)\approx 35.49$

Thus, it will take about 35.49 hours for the water to leak out of the barrel.

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4 years ago

What are the values of a, b, and c in the quadratic equation 0 = x2 – 3x – 2?

eimsori [14]

General form is ax^2 + bx + c = 0

so comparing the equation in the question to this we get:-

a = 1, b = -3 and c = -2 Answer

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3 years ago

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Solve 4|x + 5| + 8 = 24.

ElenaW [278]

Answer:

D. x= -1 and x = -9

Step-by-step explanation:

Hope it helps :)

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3 years ago

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