Answer:
378.33 minutes
Step-by-step explanation:
From the question, we're told that
Length of the side of the square, l = 4 m
Then the current volume of water = (4 m)³ = 64 m³3 = 64,000 Liters
64,000 + [∫(20 - t) dt from 0 to t] = 0, solving the integral, we have
20t - (t^2)/2 = -64,000, multiplying all by 2 so as to eliminate the fraction
40t - t^2 + 128,000 = 0
t^2 - 40t - 128,000 = 0, on solving the quadratic equation(using general formula), we find that
t = 378.33 minutes
9514 1404 393
Answer:
- A: j = 25 +55h
- B: m = 50 +30h
- 1 hour
Step-by-step explanation:
We're going to say Job A is the charge at Jim's shop. For h hours, that charge will be the sum of the parts cost and the hourly charge:
j = 25 +55h
Job B is the charge at Myron's shop. Similarly, that charge is ...
m = 50 +30h
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The two charges are equal when ...
j = m
25 +55h = 50 +30h
25h = 25 . . . . . . . . . . . subtract 25+30h from both sides of the equation
h = 1 . . . . . . . . . . divide by 25
The charges are the same at the two shops for 1 hour worked.
_____
<em>Additional comment</em>
You may be expected to write your equations using y for the charge and x for the hours. I like to use variable names that remind me what they stand for.
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In general, when you have rates that have different fixed fees and different per-quantity costs, the "break even" quantity is the ratio of the difference in fees to the difference in per-quantity costs. Here the parts (fees) differ by $25, and the per-hour cost differs by $25, so the number of hours is 25/25 = 1 to make the charges equal.
The answer's 22.4. You have to divide 548.8 miles by 24.5 gallons.
P(centre engine and left fail) = 0.004 x 0.007 = 0.000028
P(centre engine and right fail) = 0.004 x 0.007 = 0.000028
P(all three engines fail) = 0.004 x 0.007 x 0.007 = 0.000000196
P(plane will crash) = 0.000028 x 2 + 0.000000196 = 0.000056196
Answer:
, graph is there for reference.
Step-by-step explanation:
Given,
is the number of math problem Lucy solved.
is the number of pages she read.
She can do each math problem in 
minutes, therefore she can solve number of questions into 
minutes.
She can read each page in 
minutes, therefore she can read pages in 2.5y minutes.
As per given detail,
equation 1.
And,
It is given that number of math problems Lucy solved is 3 times the number of pages she read.
equation 2.
We need to find and intercept of each of the equation to graph them.
For 
put y=0
We will get 
Thus the point is 
Let us find 
by assuming 
we get 
Thus the point is 
Join these two points.
Similarly considering the other equation
Here x-intercept would be at 
We will get
Thus the point is 
Let us assume on more point, say 
, we get 
Thus the point is 
Join these two points.
We will get a point of intersection at 
Thus 
and 
