Answer:
Discontinuity of function occurs when x = 4 or x = -4
zero of function is when x=0
Step-by-step explanation:
We are given:
Discontinuity of the function occur when the denominator is equal to zero.
So, we need to find the values of x that makes the denominator zero.
The denominator is x^2 - 16
x^2 - 16 =0
x^2 = 16
x = ± 4
So, if the value of x = 4 or value of x=-4 then the function will be discontinuous.
Zero of the function i.e f(x)=0
So, Putting the function equal to zero and finding the value of x
So, zero of function is when x=0
D. Rigid transformations were applied therefore not changing any of the shapes values.
Answer:
Pool B has the greater circumference.
Step-by-step explanation:
Pool A has a radius of 16 feet, and Pool B has a diameter of 9.94 meters.
We want to see which pool has a greater circumference.
The circumference of a circle is the distance around a circle or the total length of a circle, and it is given as:
where r = radius of the circle
So that our comparison can be accurate, let us put the dimensions of both pools in a single unit, metre.
The radius of pool A is 16 feet.
1 foot = 0.305 metres
16 feet = 4.88 metres
The radius of pool A in metres is 4.88 metres
CIRCUMFERENCE OF POOL A
CIRCUMFERENCE OF POOL B
As we can see, pool B has the greater circumference.
The only part of this problem that's the least bit tricky is knowing
the formula for the volume of a sphere. Here is is:
Volume of a sphere = (4/3) (pi) (radius of the sphere)³ .
Everything else is just arithmetic.
pi . . . use 3.14
Radius . . . 2-1/8 inches. It'll be easier if we write that as 2.125 inches.
Now, just put the numbers into their places in the formula:
Volume = (4/3) (pi) (radius of the sphere)³
= (4/3) (3.14) (2.125)³
and run that through your calculator.
When I run it through mine, I get <u>40.174 in³ .</u>
None of the choices is anywhere near that number.
I'm worried, and I don't understand that.
Maybe we should look back at the question, and notice that
it says "estimate" ... something you do quickly in your head.
OK. We know the real formula ... Volume = (4/3) (pi) (radius)³ .
How could we estimate this quickly in our head?
pi . . . instead of 3.14, just use 3
radius . . . instead of 2-1/8, just use 2 . Then (radius)³ = 2 x 2 x 2 = 8
Then (4/3) (pi) (radius)³ = (4/3) (3) (8) = (4/3) of 24 = <em>32 .</em>
Well now, will you look at that ! I guess that's where the 32 came from
on the list of choices.
