The relationship between Sabir and calories he burns can be modeled using a linear function given by:
y=ax+b
where
a=slope
b=y-intercept
from the graph, the slope will be given as follows:
taking points (3,15) and (12,60)
a=(60-15)/(12-3)=5 calories/minute
thus using the slope and a point (3,15) the equation will be:
a(x1-x)=(y1-y)
plugging the values we obtain:
5(x-3)=y-15
5x-15=y-15
thus
y=5x
thus the equation is:
y=5x
Answer:
The answer is "150 seconds".
Step-by-step explanation:
![\to distance = 300 \ meter\\\\\to speed = 2 \ \frac{m}{s} \\\\\ formula: \\\\ \bold{speed = \frac{distance}{time}}\\\\](https://tex.z-dn.net/?f=%5Cto%20distance%20%3D%20300%20%5C%20meter%5C%5C%5C%5C%5Cto%20speed%20%3D%202%20%5C%20%5Cfrac%7Bm%7D%7Bs%7D%20%5C%5C%5C%5C%5C%20formula%3A%20%5C%5C%5C%5C%20%5Cbold%7Bspeed%20%3D%20%5Cfrac%7Bdistance%7D%7Btime%7D%7D%5C%5C%5C%5C)
![time= \frac{distance}{speed}\\\\](https://tex.z-dn.net/?f=time%3D%20%5Cfrac%7Bdistance%7D%7Bspeed%7D%5C%5C%5C%5C)
![=\frac{300}{2}\\\\=150 \ seconds](https://tex.z-dn.net/?f=%3D%5Cfrac%7B300%7D%7B2%7D%5C%5C%5C%5C%3D150%20%20%5C%20seconds)
Answer:
Below
Step-by-step explanation:
Use the formula 2πr^2 + 2πrh to find the Surface area of a cylinder
A = 2π(11)^2 + 2π(11)(11)
= 1520.53084....
Rounding to the nearest 10th
= 1520.5 in^2
Hope this helps!
Greatest To Least 1. AC 2. BC 3. AB
Given:
3kg book
speed of falling of 4.0 m/s
acceleration due to gravity -9.8 m/s²
Vf² = Vi² + 2 * a * d
Vf = final velocity ; Vi = initial velocity ; a = acceleration ; d = distance
0² = (4 m/s)² + 2(-9.8m/s²) * d
0 = 16 m²/s² -19.6 m/s² * d
-16 m²/s² = -19.6 m/s² * d
-16 m²/s² / -19.6 m/s² = d
0.82 m = distance
The 3 kg book fell from the a shelf at the height of 0.82 meters.