Answer:
Domain: {-2, -3, 6, 8, 10}
Range: {-5, 1, 7, 9}
Step-by-step explanation:
Given:
{(6, -5), (-2, 9), (-3, 1), (10, 7), (8, 9)}
✔️Domain:
This includes all the set of the x-values that are in the relation. This includes, 6, -2, -3, 10, and 8.
Thus, the domain can be represented as:
{-2, -3, 6, 8, 10}
✔️Range:
This includes all corresponding y-values in the relation. They are, -5, 1, 7, and 9.
Range can be represented as:
{-5, 1, 7, 9}
28 men are needed to paint the room in 3 hours
<h3><u>Solution:</u></h3>
Given that it takes 12 hours for 7 men to paint a room
We are asked to find number of men required to paint the room in 3 hours
Recognize, "paint the room" is 1 task. One job.
7 men -------- 12 hours ------ 1 job
(7/7) = 1 men ------- 12 x 7 (84) ------- same 1 job
The one men is rate is 84 hours to do the job
We can express this as 1/84 jobs per hour, the one-person rate
Now lets find how many men needed to paint the room in 3 hours
Let the required number of men for 3 hours be "a"
The rates of each person is simply additive.
![a \times \frac{1}{84} \times 3 = 1](https://tex.z-dn.net/?f=a%20%5Ctimes%20%5Cfrac%7B1%7D%7B84%7D%20%5Ctimes%203%20%3D%201)
corresponds to rate x hours = jobs and "a" is a variable for how many men
![a \times \frac{1}{28} = 28](https://tex.z-dn.net/?f=a%20%5Ctimes%20%5Cfrac%7B1%7D%7B28%7D%20%3D%2028)
Thus 28 men are needed to paint the room in 3 hours
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:
![P(t) = P(0)(3)^t](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P%280%29%283%29%5Et)
In which P(0) is the initial population.
The population started with 5 rabbits.
This means that ![P(0) = 5](https://tex.z-dn.net/?f=P%280%29%20%3D%205)
So
![P(t) = 5(3)^t](https://tex.z-dn.net/?f=P%28t%29%20%3D%205%283%29%5Et)
How many rabbits are there after 6 months?
This is P(6). So
![P(6) = 5(3)^6 = 3645](https://tex.z-dn.net/?f=P%286%29%20%3D%205%283%29%5E6%20%3D%203645)
3645 rabbits after 6 months.
Answer:
b
Step-by-step explanation:
it's the only one were you can multiply and get the first number and the second number a multiple of the ratio 9:5
Good question!
First of all, you need to be aware of the following trigonometrical ratios\functions:
For angle A:
adjacent=12
opposite=35
hypotenuse=37
Hence:
![cos(A)= \frac{12}{37} \\~\\ sin(A)= \frac{35}{37} \\~\\ tan(A)= \frac{35}{12}](https://tex.z-dn.net/?f=cos%28A%29%3D%20%5Cfrac%7B12%7D%7B37%7D%20%0A%5C%5C~%5C%5C%0Asin%28A%29%3D%20%5Cfrac%7B35%7D%7B37%7D%20%0A%5C%5C~%5C%5C%0Atan%28A%29%3D%20%5Cfrac%7B35%7D%7B12%7D%20)
I hope that
helps!
I am with you if you faced any difficulties!