Answer:
See below.
Step-by-step explanation:
So we have the parent function:
And it was transformed into:
First, the +6 at the very end simply tells us that the graph was shifted upwards by 6 units.
For the (3x), this is essentially saying that:
If we use 3x for x:
Therefore, we essentially multiplied the x variable by 3.
In other words, this is a horizontal compression by a factor of 3.
So, our transformations are:
1) 6 units upwards
2) Horizontal compression by 3
To solve this we are going to use the formula for the volume of a sphere:
where
is the radius of the sphere
Remember that the radius of a sphere is half its diameter; since the first radius of our sphere is 24 cm,
. Lets replace that in our formula:
Now, the second diameter of our sphere is 36, so its radius will be:
. Lets replace that value in our formula one more time:
To find the volume of the additional helium, we are going to subtract the volumes:
Volume of helium=
We can conclude that the volume of additional helium in the balloon is
approximately <span>
17,194 cm³.</span>
Answer:
Step-by-step explanation:
You can do one of two things when you start this question.
- you can use the distributive property to get rid of the brackets or
- you can do what was done here: divide both sides of the given equation by 6. So the answer is, divide both sides by 6
I am not sure what the question is but maybe the answer is ...
2.5 < d
Hope I helped :-)