74 units would be your answer for the length segment
$76 is the answer
I hope this is the right answer
Answer:
The cost of 1 Rose Bush= $ 8
The cost of 1 Shrub = $12.
Step-by-step explanation:
The cost of 11 rose bushes and 4 shrubs = $136
The cost of 2 rose bushes and 11 shrubs = $148
Let the cost of one rose bush = $x
and the cost of one shrub = $ y
Now, according to the question:
11 x + 4 y = 136
and 2 x + 11 y = 148
From (1), we get that 11x = 136 - 4y
or, 
Substitute this value of x in equation (2), we get

or, 
or, 113 y = 1356
or, y = 1356/113 = 12
⇒ y = 12, So 
or, x =8 and y = 12 is the solution of the above system.
Hence, the cost of 1 rose bush = $x = $8
and The cost of 1 shrub = $ y = $12.
Answer:
The 1st one is 540π
The 2nd one is 1696.46
Step-by-step explanation:
To find the volume of a cylinder, you do the following:

Where r represents the radius of the circle and h represents the height. Because it's multiplication, we can change it to:

So since the radius is 6, 6^2 is 36. Then we multiply by 15, to get 540. Then now since we don't need to multiply the pi, you just leave it as 540π.
For the second one, multiply 540 by pi to get the answer, then round it to the nearest hudredth to get 1696.46.
Answer:
We have the system:
y > x^2 - 1
y < (-1/2)*x + 3
To find the solutions of this set we need to graph the solutions range of both sets, and see the intersection between these solution ranges.
How we do it?
Start with the first one.
First, we graph the equation:
y = x^2 - 1
Now because we are using the symbol ">" means that y is smaller than the thing at the right, then the graph of the equation will be with a dashed line (which means that the points on the line are not solutions) and we will shade all the region above the line
For the other inequality we do the same:
First we graph:
y = (-1/2)*x + 3
And because we have the symbol "<" we again use a dashed line, but this time we will shade all the region below the line.
Once we shaded both regions, the region where we have both shades will be the region of solutions for the system of inequalities.
You can see the graph below.