Answer:
6
Step-by-step explanation:
Answer:
The absolute change in the height of the water is 9.5 inches
Step-by-step explanation:
Given
--- length
--- width
--- height
--- the volume removed
Required
The absolute change in the height of the water
First, calculate the base area (b):
![b = l * w](https://tex.z-dn.net/?f=b%20%3D%20l%20%2A%20w)
![b =24in * 15in](https://tex.z-dn.net/?f=b%20%3D24in%20%2A%2015in)
![b =360in^2](https://tex.z-dn.net/?f=b%20%3D360in%5E2)
The height of the water that was removed is:
<em />
<em> i.e. the volume of the water removed divided by the base area</em>
![H = \frac{900in^3}{360in^2}](https://tex.z-dn.net/?f=H%20%3D%20%5Cfrac%7B900in%5E3%7D%7B360in%5E2%7D)
![H = \frac{900in}{360}](https://tex.z-dn.net/?f=H%20%3D%20%5Cfrac%7B900in%7D%7B360%7D)
![H = 2.5in](https://tex.z-dn.net/?f=H%20%3D%202.5in)
The absolute change in height is:
![\triangle H = |h - H|](https://tex.z-dn.net/?f=%5Ctriangle%20H%20%3D%20%7Ch%20-%20H%7C)
![\triangle H = |12in - 2.5in|](https://tex.z-dn.net/?f=%5Ctriangle%20H%20%3D%20%7C12in%20-%202.5in%7C)
![\triangle H = |9.5in|](https://tex.z-dn.net/?f=%5Ctriangle%20H%20%3D%20%7C9.5in%7C)
![\triangle H = 9.5in](https://tex.z-dn.net/?f=%5Ctriangle%20H%20%3D%209.5in)
Answer:
C
Step-by-step explanation:
Answer:
3rd option: B(C)= 1.79C +86.03
Step-by-step explanation:
Total bill
= cost of cans(number of cans) +cost of other groceries
Let the cost of other groceries be G, and the cost of cans be X.
Given that number of cans= C,
Total bill= XC +G
If 2 cans were purchased,
2X+G= 89.61 -----(1)
If 5 cans were purchased,
5X +G= 94.98 -----(2)
(2) -(1):
(5X +G) -(2X +G)= 94.98 -89.61
5X +G -2x -G= 5.37
3X= 5.37
X= 5.37 ÷3 <em>(</em><em>÷</em><em>3</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
X= 1.79
Subst. X= 1.79 into (1):
2(1.79) +G= 89.61
3.58 +G= 89.61
G= 89.61 -3.58 <em>(</em><em>-3.58</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
G= 86.03 <em>(</em><em>simplify</em><em>)</em>
Total bill
= XC +G
= 1.79C +86.03
Thus, the function is B(C)= 1.79C +86.03.
Answer:
-3/2
Step-by-step explanation:
Using the slope formula, we can find the slope of the line shown
m = ( y2-y1)/(x2-x1)
= ( -1-3)/(-3-3)
= -4/-6
= 2/3
A line that is perpendicular is the negative reciprocal
-1/ (2/3) = -3/2