Answer:
128
Step-by-step explanation:
Method A.
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
Method B.
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
The effect on the graph of f(x)= 1/x when it is transformed to g(x)= 1/x-7 is C. The graph of f(x) is shifted 7 units down.
<h3>What is a graph?</h3>
A graph is a diagram showing the relation between variable quantities, each measured along with one of a pair of axes at right angles.
In this case, the effect on the graph of f(x)= 1/x when it is transformed to g(x)= 1/x-7 is that the graph of f(x) is shifted 7 units down.
The missing options include:
A. The graph of f(x) is shifted 7 units up
B. The graph of f(x) is shifted 7 units to the left
C. The graph of f(x) is shifted 7 units down
D. The graph of f(x) is shifted 7 units to the right.
Learn more about graph on:
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Answer:
a.
b.
Step-by-step explanation:
We are given that
Speed of red bike, v=24 km/h
Speed of blue bike, v'=12km/h
Distance of red bike when t=0
=10 km north
Distance of blue bike when t=0
=6km east
a. We have to find the expression of distance of red bike from Lawrence.
Let t be the time taken by red bike
Distance of red bike from Lawrence is given by
b.
Distance of the blue bike from Lawrence
Answer:
C = 4π in
Step-by-step explanation:
We require to find the radius r of the circle
Given the area is 4π , then
πr² = 4π ( divide both sides by π )
r² = 4 ( take the square root of both sides )
r = 
= 2
Then
C = 2πr = 2π × 2 = 4π inches
Answer:
On the y-axis
Step-by-step explanation:
1. You have to locate where the x and y axis goes to.
2. Locate where the number is on the x-axis. Since your number is 0, it stays where it is right now
3. Locate where the number is on the y-axis. Your number is 9 so it would go up 9 on the y-axis.
There is your answer. Coordinate (0,9) is located on the y-axis of a coordinate graph.
