Equation: 10x + 5y = 4
5y = -10x + 4
Divide the equation by 5,
y = -2x + 4/5
Now Compare it with, y = mx + c
Here,m = -2
In short, Your Answer would be Option D
Hope this helps!
Answer:
3645 rabbits after 6 months.
Step-by-step explanation:
The population of a rabbit colony triples each month.
This means that the population of the colony after t months is given by:

In which P(0) is the initial population.
The population started with 5 rabbits.
This means that 
So

How many rabbits are there after 6 months?
This is P(6). So

3645 rabbits after 6 months.
Add up the 13+12 to get 25 then divide 500,000 by 25 to get 2,000. Then multiply it by 13 to get 26000 and by 12 to get 24000. Subtract 26000 minus 24000 to get 2000. 2000 is your answer.
Answer:
The total number of ways are 168.
Step-by-step explanation:
Consider the provided information.
There are 7 junior and 3 senior coders in her group.
The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person.
For second project we have 3 choices and for third project we have 7 choices.
Now there are 2 possible case:
Case I: If first and second coder is senior, then the total number of ways are:

Case II: If first and third coder is junior, then the total number of ways are:

Hence, the total number of ways are: 42+126=168
Pi/4 radians
You're looking for the angle that has a secant of sqrt(2). And since the secant is simply the reciprocal of the cosine, let's take a look at that.
sqrt(2) = 1/x
x*sqrt(2) = 1
x = 1/sqrt(2)
Let's multiply both numerator and denominator by sqrt(2), so
x = sqrt(2)/2
And the value sqrt(2)/2 should be immediately obvious to you as a trig identity. Namely, that's the cosine of a 45 degree angle. Now for the issue of how to actually give you your answer. There's no need for decimals to express 45 degrees, so that caveat in the question doesn't make any sense unless you're measuring angles in radians. So let's convert 45 degrees to radians. A full circle has 360 degrees, or 2*pi radians. So:
45 * (2*pi)/360 = 90*pi/360 = pi/4
So your answer is pi/4 radians.