WORTH 10 POINTS! 1)susan can type 4 pages of text in 10 minutes.Assuming she types at a constant rate,write the linear equation
1 answer:
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Answer:
Required center of mass
Step-by-step explanation:
Given semcircles are,
whose radious are 1 and 4 respectively.
To find center of mass, , let density at any point is
and distance from the origin is r be such that,
where k is a constant.
Mass of the lamina=m= where A is the total region and D is curves.
then,
- Now, x-coordinate of center of mass is
. in polar coordinate
Then,
- y-coordinate of center of mass is
. in polar coordinate
Then,
Hence center of mass
Answer:
Step-by-step explanation:
The given function is;
This is the same as;
Add and subtract the square of half the coefficient of x.
Observe that the first three terms is a perfect square trinomial.
The vertex form is
The vertex (8,-64)
Answer:
ratio of pure lemon juice to water in the homestyle lemon drink is 5 : 19.
Step-by-step explanation:
In order to solve the final ratio of lemon juice to water, let us start by determining the initial ratio of pure lemon juice to water in the first mix. This is done as follows:
Total volume of mixture = 60 liters
initial volume of water = 60 liters
initial volume of lemon juice = 0 liters
1) She removed 15 liters of the water and replaced it with 15 liters of pure lemon juice.
Volume of water = 60 - 15 = 45 liters
Volume of lemon juice = 15 liters
2) She removed 10 liters of the new mixture
Let us convert this amount removed into ratio:
New volumes of water and lemon juice after removing the 10 liters of mixture is calculated as follows:
3) and replaced it with 10 liters of water.
The final ratio of lemon juice to water:
Therefore, the final ratio of pure lemon juice to water in the homestyle lemon drink is 5 : 19.