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koban [17]
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
Mathematics
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.

3 0
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

3 0
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
Read 2 more answers
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:

  • brainly.com/question/3225044
  • brainly.com/question/4620451

#LearnwithBrainly

3 0
3 years ago
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