First calculate volume of the cylindrical container: Pi * R2 * H; where Pi is 22/7 or 3.147, R is the radius and H is the height of the container.
Vol of the cylindrical container: 3.147 * (3.25/2) * (3.25/2)* 5 = 41.55 inch 3
Volume of the shaker using the above principle:
3.147 * (1/2) * (1/2) * 1.5 = 1.18 inch 3
Number of times it can fill the salt shaker will be the ratio of the volumes:
= Volume of the cylindrical container divided by the volume of the shaker = 41.55 divided by 1.18
Answer is 35 times if rounded in absolute number.
Answer:
use Pythagoras theoreom and try to solve it
I think it is -10 i hope this helps
Answer:
g(x) = - x² - 4 ⇒ A
Step-by-step explanation:
Let us revise the reflection and translation of a function
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k
f(x) = x² is the blue curve
g(x) is its image is the red curve
∵ g(x) is the image of f(x)
∵ f(x) is opened upward
∵ g(x) is opened downward
→ That means the sign of y-coordinates of all points on the blue
graph are opposite
∴ f(x) is reflected about the x-axis
∴ Its image is - f(x)
∵ The vertex of f(x) is (0, 0)
∵ The vertex of g(x) = (0, -4)
→ That means the function translated 4 units down
∴ - f(x) is translated 4 units down
∴ Its image is - f(x) - 4
∴ g(x) = - f(x) - 4
∵ f(x) = x²
∴ g(x) = - x² - 4
