if your bill at a restaurant is $56.43 and you want to leave 20% tipe,how much tipe should you leave
1 answer:
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Answer:
slope = 7/8
Explanation:
Slope of the line can be calculated using the following equation:
slope =
The two points given are:
(2,5) representing (x1 , y1)
(-6,-2) representing (x2 , y2)
Substitute with the points in the above equation to get the slope as follows:
slope =
= 7/8
Hope this helps :)
slope = 7/8
Explanation:
Slope of the line can be calculated using the following equation:
slope =
The two points given are:
(2,5) representing (x1 , y1)
(-6,-2) representing (x2 , y2)
Substitute with the points in the above equation to get the slope as follows:
slope =
Hope this helps :)
Water is leaking out of an inverted conical tank at a rate of 10,500 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank
<h3><u>Answer:</u></h3>The rate at which water is being pumped into the tank is 289,752
According to question,
There is an inverted conical tank, through which water is leaking at a rate of 10,500 cm3/min at the same time that water is being pumped into the tank at a constant rate
<em><u>The dimension of tank are: </u></em>
Diameter = 4cm
Radius(r) = = 2cm
Height = 6cm
Clearly we can see that height is 3 times radius so, we can write
h = 3r OR r = h/3 ……………………. (1)
<em><u>The volume of cone "V" is given as:</u></em>
-------- (2)
From (1) and (2)
-------- (3)
<em><u>Now we calculate the derivate:- </u></em>
--------- (4)
According to question, when height is 2m = 200cm, the water level is rising at a rate of 20 cm/min
On putting above values in equation(4) and solving we get
Hence, the rate at which water is being pumped is 289,752 which is the sum of water volume increasing at rate of 279,252 and 10,500 leaking out