Lets make an equation for the line first. The slope is 3 and the y intercept is -1, so we can make the equation y = 3x - 1. Then, to figure out what sign to use (<= or >= due to solid line in graph), we replace the = sign with one and see if a coordinate in the shaded area will furfill the inequality. If it doesn't, we know it needs the other inequality sign. If it does, we have found the correct inequality. So let's try y <= 3x - 1 with the coordinate (1,1). We try it, solve, and get 1 <= 2. So, the inequality for this graph is y <= 3x - 1.
Answer:
700.39cm
Step-by-step explanation:
For a horizontal distance of 30cm, the drop is 1cm, now we need to get the drop for horizontal distance of 700 cm to maintain the same slope
Using the concept of cross multiplication
30cm=1 cm drop
700 cm=x
30x=700
X=700/30=70/3=23 ⅓
Utilizing pythagoras theorem, the length of pipe will be
L=√(23⅓)²+700²
L=700.38878092417 cm
Rounded off, the length is approximately 700.39 cm
Answer:
Part A:
The surface area of a cylinder is given by
A= 6πr² if h= 2r
Part B:
Total Cost of covering the cylinder = Rate *2πrh + rate*2πr²
Cost of covering only the side = Rate *2πrh
Step-by-step explanation:
Part A:
The surface area of a cylinder is given by
A= 2πrh + 2πr²
Where h= height and radius = r
But we have the height twice as radius so h= 2r
So putting h= 2r we get
A= 2πr(2r) + 2πr²
A= 4πr² + 2πr²= 2πr²(2+1) = 2πr²(3)= 6πr²
Part B:
Cost = Rate * area of the wall + rate * area of the top and bottom
Cost = Rate *2πrh + rate*2πr²
Where area of the top and bottom= πr² +πr² =2 πr²
and area of the side = 2πrh
Multiplying both with the rate and then adding would give the total cost of materials needed to cover the outside of the cylinder and from top and bottom as well.
If you do not need to cover top and bottom then the expression would be
Cost of covering only the side = Rate *2πrh
Part C:
Already done above.
Answer:
1) 
2) 
3) 
Step-by-step explanation:
To write logs of the form 
in their exponential form, you take the base b and put it to the power of x and then set that equal to a: 
.
1. Here, b = 5, a = 25, and x = 2, so:
2. In this problem, b = 5, x = 2, and a = x, so:
3. Finally, here, b = b, a = 64, and x = 3, so:
Hope this helps!
Answer:
Cost = 616000 DHS per square centimetre.
Step-by-step explanation:
curved surface of a cylinder = 2
rh
r = 7 cm
h = 1400 m = 140000 cm
The outer curved surface area of the cylinder = inner curved surface area of the cylinder
The inner curved surface of the cylinder = 2rh
= 2 x 
x 7 x 140000
= 2 x 22 x 1 x 140000
= 6160000
The inner curved surface of the cylinder is 6160000 square centimetre.
But, the cost of painting is at the rate of 10 DHS per square centimetre.
The inner curved surface of the cylinder = 6.16 x 
square centimetre.
cost of painting the inner curved surface area = 
= 616000 DHS per square centimetre
The cost of painting the inner surface is 616000 DHS per square centimetre.
