Answer:
8192
Step-by-step explanation:
The pattern is mulitply by 2 to get the next term
4*2=8
8*2=16
So: 4,8,16,32,64,128,256,512,1024,2048,4096,8192
The system of inequalities for the specific graph is
1. (one on top) y ≤ 1/2x + 6
2. (one on bottom) y > 1/2x -2
Hope this helped! :D
Answer:
Data: (Cylinder)
h (height) = 8 cm
r (radius) = 5 cm
Adopting:
V (volume) = ?
Solving:(Cylinder volume)
Note: Now, let's find the volume of a hemisphere.
Data: (hemisphere volume)
V (volume) = ?
r (radius) = 5 cm
Adopting:
If: We know that the volume of a sphere is , but we have a hemisphere, so the formula will be half the volume of the hemisphere
Formula: (Volume of the hemisphere)
Solving:
Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)
Volume of the figure = cylinder volume + hemisphere volume
Volume of the figure = 628 cm³ + 261.6 cm³
Step-by-step explanation:
Keep in mind that the positive directions of the two axis are: upwards for the y axis and rightwards for the x axis.
So, translating a point 6 units up means to go 6 units along the positive direction on the y axis. For this reason, the new y coordinate will be 6 units more than the old one.
Similarly, going 3 units left means to decrease by 3 the x coordinate, because we're following the negative direction.
So, to recap, this transformation maps 
This means that the two points become
