We know that
volume of a cone=(1/3)*pi*r²*h
<span>If the height of a cone is cut in half
so
h=h/2
and
new volume of a cone=</span>(1/3)*pi*r²*(h/2)----> (1/2)*[(1/3)*pi*r²*h)
the answer is
<span>the volume of the cone is multiplied by 1/2</span>
<h2>
Hello!</h2>
The answer is:
The domain for the function is all the real numbers,
Domain:(-∞,∞)
<h2>
Why?</h2>
Since we are working with fractions, the only restriction that we will have for the function is when the denominator of the function tends to 0.
We are given the function:

Where, the denominator is given by the expression:

For the given expression (quadratic equation), we have that:

Calculating the discriminat of the quadratic function, in order to know if the denominator of the function has roots (zeroes) at the real numbers, we have:



Now, as we know, if the discriminant of a quadratic function is less than 0, the quadratic function has no roots in the real numbers.
Therefore, since the denominator (quadratic function) has no roots in the real numbers, the domain for the function will be equal to all the real numbers.
Domain:(-∞,∞)
Hence, the answer is the third option, the domain for the function is all the real numbers,
Domain:(-∞,∞)
Have a nice day!
For number 4 change 3/4 to 6/8 and just add them. It will turn out to be 31/8
Answer:
6,750,000 cm³ = 6.75 m³
Step-by-step explanation:
a scale version means that the ratio of every dimension of scale vs. real object is 1/50.
volume is created by multiplying 3 dimensions.
so, going from scaling to real the volume has to be multiplied by 50×50×50 = 50³ = 125000
so, as for the scale model we needed 54 cm³, for the full size object we need 54×125000 = 6,750,000 cm³ of metal.
or to bring it to m³ (1m³ = 100×100×100 cm = 1000000 cm³)
that would be 6.75 m³ of metal.