100 X 35,000 could be a possible answer
Answer:
Part 1) The rate of change is ![2](https://tex.z-dn.net/?f=2)
Part 2) The initial value is ![2](https://tex.z-dn.net/?f=2)
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where
m is the slope or rate of change
b is the y-intercept or initial value
step 1
Find the slope or rate of change
The formula to calculate the slope between two points is equal to
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
we have the points
(5,12)and (2,6)
substitute the values in the formula
![m=\frac{6-12}{2-5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B6-12%7D%7B2-5%7D)
![m=\frac{-6}{-3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-6%7D%7B-3%7D)
![m=2](https://tex.z-dn.net/?f=m%3D2)
therefore
The rate of change is ![2](https://tex.z-dn.net/?f=2)
step 2
Find the initial value
we have
![m=2](https://tex.z-dn.net/?f=m%3D2)
![point\ (2,6)](https://tex.z-dn.net/?f=point%5C%20%282%2C6%29)
substitute in the equation ![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
![6=2(2)+b](https://tex.z-dn.net/?f=6%3D2%282%29%2Bb)
solve for b
![6=4+b](https://tex.z-dn.net/?f=6%3D4%2Bb)
---> initial value
The linear equation is equal to
![y=2x+2](https://tex.z-dn.net/?f=y%3D2x%2B2)
The y-intercept or initial value is 2
Answer:
sorry i cant help i need points sorry
Step-by-step explanation:
Answer: Volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.
Step-by-step explanation:
Given: For lid of the spherical shaped bottle,
Diameter = 5 cm
Height = 4.5 cm
Radius = Half of diameter = 2.5 cm
Volume of cone = ![\dfrac13\pi r^2 h](https://tex.z-dn.net/?f=%5Cdfrac13%5Cpi%20r%5E2%20h)
Volume of lid ![=\dfrac13(3.14)(2.5)^2(4.5)=29.4375\approx29.44\text{ cm}^3](https://tex.z-dn.net/?f=%3D%5Cdfrac13%283.14%29%282.5%29%5E2%284.5%29%3D29.4375%5Capprox29.44%5Ctext%7B%20cm%7D%5E3)
Surface area of cone =
[as lide has no base we don't include area of base.]
Surface area of lid = ![(3.14)(2.5)\sqrt{(2.5)^2+(4.5)^2}= 7.85\sqrt{26.5}\approx40.41\text{ cm}^3](https://tex.z-dn.net/?f=%283.14%29%282.5%29%5Csqrt%7B%282.5%29%5E2%2B%284.5%29%5E2%7D%3D%207.85%5Csqrt%7B26.5%7D%5Capprox40.41%5Ctext%7B%20cm%7D%5E3)
Hence, volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.