Answer:
Step-by-step explanation:
Overall students=50
35 -> j.
25 -> r.
16-> j.+r.
35-16=19 students joined j.
25-16=9 joined r.
50-19+9
50-28=22
The answer is 22
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Answer:
1%
Step-by-step explanation:
The selling price for each radio is $2288.
Total selling price is 
$4576.
Profit is 10%.
Loss is also 10%.
Cost price=
Cost price=
Utilizing the formula,
Cost price of the first radio is 
$2080.
Cost price of the second radio is 
=$2542.2.
The combined cost price for both radios totals 2080+2542.2=$4622.2.
Total cost price exceeds total selling price.
Loss equals selling price minus cost price.
Loss is calculated as 4622.2-4576=$46.2.
Loss%=
Loss percentage is 
1%.
Thus, the loss is 1%.
To determine the rates at which the inlet and outlet pipes fill and empty the reservoir, we remember that work done equals rate multiplied by time. Let’s denote the inlet rate as i and for the outlet pipe as 0. Therefore,
i(24) = 1
o(28) = 1
In this context, the '1' represents the total number of reservoirs, since the problem states the time needed for each pipe to either fill or empty a singular reservoir. Solving for rates yields:
i = 1/24 reservoirs/hour
o = 1/28 reservoirs/hour
Over the first six hours, the inlet pipe fills (1/24)(6) = 1/4 reservoirs and during the same period, the outlet pipe empties (1/28)(6) = 3/14 reservoirs. To calculate the net volume of the reservoir filled, we subtract the emptying total from the filling total:
1/4 - 3/14 = 1/28 reservoirs (note that if emptying exceeds filling, a negative value results. In such cases, treat that negative value as zero, indicating that the outlet rate surpasses the inlet rate, leading to an empty reservoir).
Now we need to find out how long it will take to fill up one reservoir since we’ve already partially filled 1/28 of it, after closing the outlet pipe. In simpler terms, we need to determine the time required for the inlet pipe to finish filling the remaining 27/28 of the reservoir. Fortunately, we have already established the filling rate for the inlet pipe, leading to the equation:
(1/24)t = 27/28
Solving for t gives us 23.14 hours. Remember to add the initial 6 hours to this result since the question seeks the total time. Thus, the final total is 29.14 hours.
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Answer:
The tangent plane equation for the hyperboloid
.
Step-by-step explanation:
We have
The ellipsoid's equation is
The equation for the tangent plane at the point 
(Given)
The hyperboloid's equation is
F(x,y,z)=
The tangent plane equation at point
The tangent plane equation for the hyperboloid is
The tangent plane equation
Hence, the required tangent plane equation for the hyperboloid is
