Diameter = 24 m
radius = diameter/2 = 24 m / 2 = 12 m
area = pi * r^2 = 3.14 * (12 m)^2 = 3.14 * 144 m^2 = 452.16 m^2
The linear function that describes Juan's elevation during his descent is:
B. y = -1460x + 7500.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, each hour, the height decays by 1460, hence the slope is of m = -1460, then:
y = -1460x + b.
The y-intercept is found considering that when x = 1, y = 6040, hence:
b = 6040 + 1460 = 7500.
Which means that option B is correct.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
about 7.2 I think
Step-by-step explanation:
if his pay went up all the way to 770 it would be going up either 7.8 or 7.2
Answer:
the common difference is 6.
Step-by-step explanation:
Given;
first term of an AP, a = -7
let the common difference = d
The third term is written as;
T₃ = a + 2d
The eight term is written as;
T₈ = a + 7d
The ratio of the eight term to third term = 7:1
![\frac{T_8}{T_3} = \frac{7}{1} = \frac{a+ 7d}{a + 2d} \\\\7 = \frac{a+ 7d}{a + 2d}\\\\Recall, a = -7\\\\7 = \frac{-7+ 7d}{-7 + 2d}\\\\7(-7 + 2d) = -7+ 7d\\\\-49 + 14d = -7 + 7d\\\\14d -7d = -7 + 49\\\\7d = 42\\\\d = \frac{42}{7} \\\\d = 6](https://tex.z-dn.net/?f=%5Cfrac%7BT_8%7D%7BT_3%7D%20%3D%20%5Cfrac%7B7%7D%7B1%7D%20%3D%20%5Cfrac%7Ba%2B%207d%7D%7Ba%20%2B%202d%7D%20%5C%5C%5C%5C7%20%3D%20%20%5Cfrac%7Ba%2B%207d%7D%7Ba%20%2B%202d%7D%5C%5C%5C%5CRecall%2C%20a%20%3D%20-7%5C%5C%5C%5C7%20%3D%20%20%20%5Cfrac%7B-7%2B%207d%7D%7B-7%20%2B%202d%7D%5C%5C%5C%5C7%28-7%20%2B%202d%29%20%3D%20-7%2B%207d%5C%5C%5C%5C-49%20%2B%2014d%20%3D%20-7%20%2B%207d%5C%5C%5C%5C14d%20-7d%20%3D%20-7%20%2B%2049%5C%5C%5C%5C7d%20%3D%2042%5C%5C%5C%5Cd%20%3D%20%5Cfrac%7B42%7D%7B7%7D%20%5C%5C%5C%5Cd%20%3D%206)
Therefore, the common difference is 6.
The negative in front of the second bracket means that it's times by -1 so each of their signs switches:
3m^2+2n-m^2-2n
Add like terms
2m^2
the 2n cancels out