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2 answers:
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The two containers hold 328 ounces at the they hold same amount of water.
<u>Step-by-step explanation:</u>
The equations below model the ounces of water, y, in each container after x minutes.
At the time after the start when the containers hold the same amount of water, the two equations must be equal.
⇒
The first step is to divide everything by 2 to make it simplified.
⇒
Now put everything on the left .
Add the like terms together to further reduce the equation
Factorizing the equation to find the roots of the equation.
Here, b = -12 and c = -28
where,
- b is the sum of the roots ⇒ -14 + 2 = -12
- c is the product of the roots ⇒ -14 × 2 = -28
- Therefore, (x-14) (x+2) = 0
- The solution is x = -2 or x = 14
Take x = 14 and substitute in any of the given two equations,
⇒
⇒
⇒ 328 ounces
∴ The two containers hold 328 ounces at the they hold same amount of water.
Answer:
So Priya need cups of raspberries for the whole cake.
Step-by-step explanation:
Given data;
cups of raspberries which is enough for
of the cake.
For making of the cake need
cups of raspberries.
For making cake need
cups of raspberries.
For making cake need
cups of raspberries.
∴ Priya need cups of raspberries for the whole cake.
Answer:
The volume of the solid is
Step-by-step explanation:
In this case, the washer method seems to be easier and thus, it is the one I will use.
Since the rotation is around the y-axis we need to change de dependency of our variables to have . Thus, our functions with
as independent variable are:
For the washer method, we need to find the area function, which is given by:
By taking a look at the plot I attached, one can easily see that for a rotation around the y-axis the outer radius is given by the function and the inner one by
. Thus, the area function is:
Now we just need to integrate. The integration limits are easy to find by just solving the equation , which has two solutions
and
. These are then, our integration limits.
