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storchak [24]
3 years ago
13

What is the volume of a sphere with diameter of 4 millimeters

Mathematics
1 answer:
marin [14]3 years ago
4 0
The volume is 33.5mm^3 (or cubed)

Formula : v = 4/3πr^3 or v = 4 x 3.14 x (r x r x r) <span>÷ 3
</span>
~ 2 x 2 x 2 = 8  (we use 2 because the radius is half of the diameter)

v = 4 x 3.14 x 8 <span>÷ 3     a. Multiply everything together
v = 100.48 </span><span>÷ 3             b. Divide by 3</span><span>
v = 33.493                   c. Round (if needed)
</span>v = 33.5


      

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What is the pattern in these numbers? Please explain
galben [10]

Answer:

5/4 and 6/3

Step-by-step explanation:

This series has increasing numerator and decreasing denominator. This series starts as 1/8, So the series goes like

1/8

2/7

3/6 which is reduced to 1/2

4/5

5/4

6/3 which will be reduced to 2

8 0
4 years ago
Please select the best answer from the choices provided
Anettt [7]

Answer:

x=\frac{5\pi}{4}

Step-by-step explanation:

We want to solve;

\cscx=-\sqrt{2} in the 3rd quadrant

Recall that;

\sin x=\frac{1}{\csc x}

We use the reciprocal ratio to get;

\sin x=-\frac{\sqrt{2}}{2}

In the third quadrant the solution is

x=\pi+\sin^{-1}(\frac{\sqrt{2} }{2} )

x=\pi+\frac{\pi}{4}

x=\frac{5\pi}{4}

3 0
3 years ago
The graphed line shown below is y=-3x+6
Bezzdna [24]
<h2>Answer:</h2>

y=-3\left(x+6\right)

<h2>Step-by-step explanation:</h2>

From the given graph, we can know two points:

P_{1}(x_{1},y_{1})=(2,0) \ and \ P_{2}(x_{2},y_{2})=(1,3)

Using the slope intercept form of the equation of a line, we get:

y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1}) \\ \\ y-0=\frac{3-0}{1-2}(x-2) \\ \\ y=-3(x-2) \\ \\ y=-3x+6

Where the slope is m=-3 and the y-intercept is b=6

From mathematics, we know that a system of two linear equations has no solution if and only if the two equations have the same slope, but not the same y-intercept. So, from the options, the second equation is:

y=-3(x+6)

And the slope intercept form of this equation is:

y=-3x-18

So the slope is m=-3 and the y-intercept is b=-18, the systems formed by these two equations has no solution.

6 0
4 years ago
Read 2 more answers
The graph of f(x) = 1/3
Illusion [34]

The transformed function is defined by:

g(x) = -f(x/5 - 2) - 6

Where f(x) is the given function.

<h3 /><h3>How to get the equation of the transformed function?</h3>

Here we start with the function:

f(x) = (1/3)*x

(I don't know if this is the actual function, but that does not matter, I will solve it in a general way).

If first, we reflect it vertically, then the new function is:

g(x) = -f(x).

If now we compress it horizontally by a factor of 5, then we get:

g(x)  = - f(x/5)

Now we shift it 2 units to the right, then:

g(x) = -f(x/5 - 2)

Finally, we shift it down 6 units, then we get:

g(x) = -f(x/5 - 2) - 6

That is the general form of the function g(x).

Replacing f(x) by what is defined above, we get:

g(x) = -(1/3)*(x/5 - 2) - 6

If you want to learn about transformations:

brainly.com/question/4289712

#SPJ1

6 0
2 years ago
Divide $24 in the ratio of 7:5
Lyrx [107]
Answer: 14$ and 10$

Explanation:

24 x 7/12 = 14$

24 x 5/12 = 10$
4 0
3 years ago
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