Given the statement, "If

is odd, then

is odd," its contrapositive claims that, "If

is not odd, then

is not odd."
So assume

is not odd, i.e.

is even. This means there is an integer

for which

. Squaring this gives

.
Well, we can write

, and

is just another integer, which means

must be even.
Sardines aren't very healthy; not to mention, living off of just one
food for a week is horrible for your body, because you are lacking
several kinds of nutrition.
Answer:
162 cents
Step-by-step explanation:
to find the rate you want take the inches which is 21 and divide by the cost which is 63 and find the rate is 3 which means each inch costs 3 cents and so with that rate you can find the cost of 54 inchest of wire so you take your 54 inches and multiply it by 3 which is the cents per inch and find that 54 inches of wire would cost you 162 cents
Answer:
The simplified form of the given expression is 6-a.
Step-by-step explanation:
The given expression is

According to distributive property.

Use distributive property.


Combine like terms.


Therefore the simplified form of the given expression is 6-a.
![\dfrac{\mathrm d}{\mathrm dt}\left[2x^2+y^3\right]=\dfrac{\mathrm d}{\mathrm dt}[10]\implies 4x\dfrac{\mathrm dx}{\mathrm dt}+3y^2\dfrac{\mathrm dy}{\mathrm dt}=0](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5B2x%5E2%2By%5E3%5Cright%5D%3D%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5B10%5D%5Cimplies%204x%5Cdfrac%7B%5Cmathrm%20dx%7D%7B%5Cmathrm%20dt%7D%2B3y%5E2%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dt%7D%3D0)
When

, the original equation tells you that you have

You also know that when

, you have

. Substituting everything you know into the differentiated equation, you get

So

is changing at a rate of

.