The answer is 180 minutes. because you multiply 30 times 0.20 and you get 6. Then you multiply 6 times 30 and get 180 minutes. And 180 minutes in hours is 3 hours.
Answer:
The area of the rectangle is increasing at a rate of 84 square centimeters per second.
Step-by-step explanation:
The area for a rectangle is given by the formula:

Where <em>w</em> is the width and <em>l</em> is the length.
We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.
First, differentiate the equation with respect to <em>t</em>, where <em>w</em> and <em>l</em> are both functions of <em>t: </em>
![\displaystyle \frac{dA}{dt}=\frac{d}{dt}\left[w\ell]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BdA%7D%7Bdt%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5Bw%5Cell%5D)
By the Product Rule:

Since we know that dl/dt = 6 and that dw/dt = 5:

We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:

The area of the rectangle is increasing at a rate of 84 square centimeters per second.
Answer: 7/12
Step-by-step explanation:
From numbers 1 - 12, there are seven numbers greater than 5 so they probability of rolling a number greater than 5 is 7/ 12
<h3><u>Solution: </u></h3>
Overall<u> </u>CP of each fan = ₹1200 .
One is sold at a loss of 5% .
- ( This means if CP is ₹100, SP is ₹95 ) .
• Therefore,When CP is ₹1200 , Then SP is ₹ 1140.

Also,Second fan is sold at a profit of 10% .
- It means , If CP is ₹100 , SP is ₹110.
Therefore , When CP is ₹1200 , Then SP is ₹1320.
<u>• We need to find the combined CP and SP to say whether there was an overall profit or Loss.</u><u>.</u>
- Total CP = ₹ 1200 + ₹ 1200 = ₹ 2400.
- Total SP = ₹ 1140 + ₹ 1320 = ₹ 2460.
Since total SP > total CP , A profit of ₹ ( 2460 - 2400 ) or ₹60 has been made ..
<h3>Hope this helps you :)</h3>
Answer:
Step-by-step explanation:
Given is a function



Average slope of this function is change of f(x) in (-2,6)/change of x in (-2,6)
= 
By mean value theorem there exists a c such that f'(c) = -18
i.e. 
Using quadratic formula
x = 2.61, -1.277
Out of these only 2.61 lies in the given interval
c = 2.61