Answer:
2 and 10
Step-by-step explanation:
n + n + 8 = 12
2n + 8 = 12
2n = 4
n = 2
the two numbers are 2 and 10
Year. Population
1995. 4,500
2000. 15% increase from 4,500
15% of 4500=0.15•4500=675
4500+675=
5,175
2005. 4% decrease from 5,175
4% of 5175=0.04•5175=207
5175-207=
4968
Answer:
2 to the power of three × 3 × 5
Step-by-step explanation:
Answer: choice B
Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean
For answer choice A:
(root 2)^2 + (root 3)^2 = (root 4)^2
2 + 3 = 4
5 = 4
5 does not equal 4. Therefore it cannot be A.
For answer choice B:
(root 8)^2 + (3)^2 = (root 17)^2
8 + 9 = 17
17 = 17
this is true! therefore this is a right triangle and it’s B
Answer:
<em>16.5 gallons per minute.</em>
Step-by-step explanation:
The given table is:
![\begin{center}\begin{tabular}{ c c } Time(minutes) & Water(gallons) \\ 1 & 16.50 \\ 1.5 & 24.75 \\ 2 & 33 \\\end{tabular}\end{center}](https://tex.z-dn.net/?f=%5Cbegin%7Bcenter%7D%5Cbegin%7Btabular%7D%7B%20c%20c%20%7D%20Time%28minutes%29%20%26%20Water%28gallons%29%20%5C%5C%201%20%26%2016.50%20%20%5C%5C%20%201.5%20%26%2024.75%20%20%5C%5C%20%20%202%20%26%2033%20%20%20%5C%5C%5Cend%7Btabular%7D%5Cend%7Bcenter%7D)
We are given this linear function in the form of table.
Let 't' be the time and W(t) be the function with which the gallons of water are changing with time.
We can use slope intercept form to find the equation.
![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
Slope of a function:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![x_2 = 1.5\\x_1 = 1\\y_2 = 24.75\\y_1 = 16.50](https://tex.z-dn.net/?f=x_2%20%3D%201.5%5C%5Cx_1%20%3D%201%5C%5Cy_2%20%3D%2024.75%5C%5Cy_1%20%3D%2016.50)
![m=\dfrac{24.75-16.50}{1.5-1}\\\Rightarrow m =16.5](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B24.75-16.50%7D%7B1.5-1%7D%5C%5C%5CRightarrow%20m%20%3D16.5)
This slope is the constant of proportionality.
i.e. the rate at which the number of gallons are changing per minute.
So, the answer is <em>16.5 gallons per minute.</em>