Answer:
A. (2+4)² +(5-8)²
Step-by-step explanation:
To find then distance between two points, we will follow the steps below;
write down the formula
D = √(x₂-x₁)²+(y₂-y₁)²
(-4, 8)
x₁=-4
y₁ = 8
(2,5)
x₂=2
y₂=5
we can now proceed to insert the values into the formula
D = √(x₂-x₁)²+(y₂-y₁)²
= √(2+4)²+(5-8)²
=√(6)² + (-3)²
=√36+9
=√45
Therefore the expression which gives the distance between two the two points is (2+4)² +(5-8)²
Answer:
common ratio: 1.155
rate of growth: 15.5 %
Step-by-step explanation:
The model for exponential growth of population P looks like: 
where 
is the population at time "t",
is the initial (starting) population
is the common ratio,
and 
is the rate of growth
Therefore, in our case we can replace specific values in this expression (including population after 12 years, and initial population), and solve for the unknown common ratio and its related rate of growth:
![P(t)=P_i(1+r)^t\\13000=2300*(1+r)^{12}\\\frac{13000}{2300} = (1+r)^12\\\frac{130}{23} = (1+r)^{12}\\1+r=\sqrt[12]{\frac{130}{23} } =1.155273\\](https://tex.z-dn.net/?f=P%28t%29%3DP_i%281%2Br%29%5Et%5C%5C13000%3D2300%2A%281%2Br%29%5E%7B12%7D%5C%5C%5Cfrac%7B13000%7D%7B2300%7D%20%3D%20%281%2Br%29%5E12%5C%5C%5Cfrac%7B130%7D%7B23%7D%20%3D%20%281%2Br%29%5E%7B12%7D%5C%5C1%2Br%3D%5Csqrt%5B12%5D%7B%5Cfrac%7B130%7D%7B23%7D%20%7D%20%3D1.155273%5C%5C)
This (1+r) is the common ratio, that we are asked to round to the nearest thousandth, so we use: 1.155
We are also asked to find the rate of increase (r), and to express it in percent form. Therefore we use the last equation shown above to solve for "r" and express tin percent form:
So, this number in percent form (and rounded to the nearest tenth as requested) is: 15.5 %
Answer: About 3 hours and 5 minutes to paint the room together.
Step-by-step explanation:
Sally can paint 1/5 of the room in an hour and Steve can paint 1/8 of the room in an hour.
Room/Hour
1/5 ± 1/8 =8/40
8/40+5/40=13/40
How long to paint the room?
13/40 x 1= 40/13
40÷13=3.0777
So the answer will be Sally and Steve can paint the room in about 3 hours and 5 minutes
Answer:
volume=pi times r^2 height÷3.
r is the radius, or in this case 4yd. height is 10yd. pi is 3.14
Here are the steps:
3.14r^2 height÷3
3.14×4^2 10÷3
=167.55
final answer rounded to the nearest tenth: 167.6
I apologize for getting the math wrong the first time. My formula was correct, but I needed to double check my calculations. I'm certain this is the right answer.
