Answer:
n-3
Step-by-step explanation:
for every input, the output is three less (4-3=1, 7-3=4, 8-3=5). That rule needs to stay consistent, so no matter what the input is (n), the output is always going to be three less than, making it y or output=n-3
Answer:
True. See the explanation and proof below.
Step-by-step explanation:
For this case we need to remeber the definition of linear transformation.
Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:
1) T(x+y) = T(x) + T(y)
2) T(cv) = cT(v)
For all vectors 
and for all scalars 
. And A is called the domain and B the codomain of T.
Proof
For this case the tranformation proposed is t: 
Where 
For this case we have the following assumption:
1) The transpose of an nxm matrix is an nxm matrix
And the following conditions:
2) 
And we can express like this 
3) If 
and then we have this:
And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.
If a person is not healthy, then he or she will find it very difficult to enjoy life. Balanced food, fresh air, exercise, good posture, plenty of rest, pure water, cleanliness, regular check-ups at the doctor and dentist " all helps keep our body machines running as they should.
A fit person is also more resistant to illnesses. The simplest way of keeping fit is by exercising regularly. But the exercises must be vigorous. Secondly we have to watch what we are eating. There should be enough fibre, protein, fruit, vegetables and vitamins. And of course our bodies need water. Water allows our blood to flow through the blood vessels thus supplying the body with vital nutrients. We must drink about six glasses a day.
We have to get enough sleep. All of us know how cranky we can get if we do not have enough sleep. And what's more " avoid stress, worry and tension, think positive! A bath or a shower every day is a good habit. It makes us clean but it also helps us to fall asleep better. Brushing our teeth is part of keeping clean.
2.98=100%
2.32/2.98 = 0.78
0.78*100=78%
The percent of decrease was 22%.
Answer: 32 cups of milk
Step-by-step explanation:
The first thing to do is to convert the gallons of milk to milkshakes so that you are able to convert easier to cups.
There are 128 ounces in 1 gallon and Monica has 2 gallons. The amount of milk Monica has in ounces is:
= 128 * 2
= 256 ounces
Each cup is capable of holding 8 ounces and there are 256 ounces available so the number of cups of milk is:
= 256 / 8
= 32 cups of milk
