Answer:
3.6 feet
Step-by-step explanation:
The height of the rollercoaster in feet throughout the underground section is modeled by the equation :
....(1)
We need to find the height of the rollercoaster 6 feet horizontally through the underground section.
Put d = 6 feet in equation (1) as follows :
![h(6) = 0.15(6)^2 - 1.5(6)\\\\h=-3.6\ \text{feet}](https://tex.z-dn.net/?f=h%286%29%20%3D%200.15%286%29%5E2%20-%201.5%286%29%5C%5C%5C%5Ch%3D-3.6%5C%20%5Ctext%7Bfeet%7D)
or
h = 3.6 feet
So, the height of the rollercoaster 6 feet horizontal through the underground section is 3.6 feet.
185 plus the second number which is 196 plus 90 is 471
Answer:
![y' = (6,4)](https://tex.z-dn.net/?f=y%27%20%3D%20%286%2C4%29)
Step-by-step explanation:
Given
![y = (3,2)](https://tex.z-dn.net/?f=y%20%3D%20%283%2C2%29)
![x = (4,0)](https://tex.z-dn.net/?f=x%20%3D%20%284%2C0%29)
![z = (2,-2)](https://tex.z-dn.net/?f=z%20%3D%20%282%2C-2%29)
![D_{(O,2)}](https://tex.z-dn.net/?f=D_%7B%28O%2C2%29%7D)
Required
The image of y
implies that y is dilated by a scale factor of 2 across the origin.
So, the image of y is:
![y' = 2 * y](https://tex.z-dn.net/?f=y%27%20%3D%202%20%2A%20y)
![y' = 2 * (3,2)](https://tex.z-dn.net/?f=y%27%20%3D%202%20%2A%20%283%2C2%29)
![y' = (6,4)](https://tex.z-dn.net/?f=y%27%20%3D%20%286%2C4%29)
For the first triangle, I believe the given angles are 85 and 53. If I am incorrect, please let me know and I'll resolve it.
The answer for 1 would be 42.
2nd triangle- 69 is the missing angle measurement.
3rd- 64 degrees.
4th- 53
The reasoning behind all of these: The total of all three interior angles should be 180 degrees. So when you add the two GIVEN angles, and subtract that from 180, this answer is your missing angle.
(Also, for any other site or anything, it might be best to block out your name)
Answer:
S(p(x)) = 140,000(0.9732)^x
Step-by-step explanation:
Given the population functions:
ENVIRONMENTALIST: decline by 3.5% annually
p(x) = 140,000(0.965)^x
CONSERVATIONISTS: Increase by 0.85% annually ;
S(p) = p(1.0085)^x
Formulate S(p(x)) rounded to the nearest ten thousand
p(x) = 140,000(0.965)^x
S(p) = p(1.0085)^x
S(p(x)) = p(1.0085)^x
Where p(x) = 140,000(0.965)^x
S(p(x)) = 140,000(0.965)^x(1.0085)^x
S(p(x)) = 140,000(0.9732025)^x
S(p(x)) = 140,000(0.9732)^x