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3 years ago

6

And Mrs. Young's science lab she has it so cylindrical container filled with water. The container has a volume of 8.75 L. What i

s the volume of the container in milliliters

1 answer:

Art [367]3 years ago

4 0

The volume of the container is 8,750 milliliters

hope this helped :)

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Find the distance between these points.

Daniel [21]

Answer:

85

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

What is the length of side AC of the triangle?<br><br> Enter your answers in the boxes.

inessss [21]

Answer:

$AC=25$

Step-by-step explanation:

From the given figure, it can be seen that ${\angle}A={\angle}C$ , thus ΔABC is an isosceles triangle.

Therefore, $AB=BC$

⇒ $5x+5=7x-1$

Solving the above equation, we get

⇒ $5x-7x=-1-5$

⇒ $-2x=-6$

⇒ $x=3$

Now, substituting the value of x in AC, we have

⇒ $AC=6x+7$

⇒ $AC=6(3)+7$

⇒ $AC=18+7$

⇒ $AC=25$

Thus, the length of the side AC of the given triangle is 25 units.

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3 years ago

Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt

Paladinen [302]

Answer:

$y(x)=4a\sqrt{3}* sin(x)-3a$

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

$\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}$

But:

$\frac{1}{tan(x)} =cot(x)$

So:

$\frac{dy(x)}{dx} =cot(x)*(3a+y)$

Multiplying both sides by dx and dividing both sides by 3a+y:

$\frac{dy}{3a+y} =cot(x)dx$

Integrating both sides:

$\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx$

Evaluating the integrals:

$log(3a+y)=log(sin(x))+C_1$

Where C1 is an arbitrary constant.

Solving for y:

$y(x)=-3a+e^{C_1} sin(x)$

$e^{C_1} =constant$

So:

$y(x)=C_1*sin(x)-3a$

Finally, let's evaluate the initial condition in order to find C1:

$y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a$

Solving for C1:

$C_1=4a\sqrt{3}$

Therefore:

$y(x)=4a\sqrt{3}* sin(x)-3a$

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4 years ago

What is 8.537 rounded to the nearest tenth

KIM [24]

Answer:

8.5

Step-by-step explanation:

The tenth place is the first number to the right of the decimal. It goes tenths, hundredths, thousandths... etc from left to right after the decimal.

4 0

4 years ago

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Write the inverse function for the function, ƒ(x) = x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.

lesya [120]

The inverse is:

$f^{-1}(x) = x-4$

Further explanation:

Given function

$f(x) = x+4$

<u>Step 1: Replacing f(x) with y</u>

$y = x+4$

<u>Step 2: Replacing x with y and y with x</u>

$x = y+4$

<u>Step 3: Solving the equation for y</u>

$x = y +4\\x -4 = y+4-4\\y = x-4$

<u>Step 4: Replacing y with f-1(x)</u>

$f^{-1}(x) = x-4$

So, the inverse is:

$f^{-1}(x) = x-4$

Keywords: Functions, Inverse of function

Learn more about inverse of functions at:

#LearnwithBrainly

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3 years ago