A tank with a capacity of 100 gallons initially contains 50 gallons of water with 10 pounds of salt in solution. fresh water enters at a rate of 2 gallons per minute and a well-stirred mixture is pumped out at the rate of 1 gallon per minute. compute the amount of salt (in pounds) in the tank at the first moment when the tank is filled.
2 months ago
2 months ago
Let be the amount of salt (in pounds) in the tank at time . We're given that.
The rate at which the amount of salt in the tank changes is given by the ODE
Given that , we find that
so that the amount of salt in the tank is described by
The tank will be filled when , or after minutes. At this time, the amount of salt in the tank is
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Two men, joel and jerry, push against a wall. jerry stops after 10 min, while joel is able to push for 5.0 min longer. compare the work they do. two men, joel and jerry, push against a wall. jerry stops after 10 min, while joel is able to push for 5.0 min longer. compare the work they do. both men do positive work, but joel does 50% more work than jerry. both men do positive work, but jerry does 50% more work than joel. both men do positive work, but joel does 75% more work than jerry. both men do positive work, but joel does 25% more work than jerry. neither of them does any work.
Work is the product of force and distance. Since the wall doesn't move, the distance and work done are zero. The appropriate choice is the last one: neither of them does any work.
What is the slope of the line y = 3?
The slope of a line y = any constant real number is 0.
This is because the equation y = a number represents a straight horizontal line on a graph.
Which set of coordinates, when paired with (3, −3) and (10, −3), result in a square? (−3, −3) and (−10, −3) (3, 10) and (10, 3) (−3, 4) and (−10 , 4) (3, 4) and (10, 4)
I believe the answer would be ( 3,4) and (10,4)
(3,4) and (10,4)
Which has the smallest value 11 , 0.675,1.23,0.42,1.011
The number with the smallest value is 0.42.
Here are the numbers listed in order from least to greatest.
0.42, 0.675, 1.011, 1.23, 11
The reason has to do with the values of the position of the numbers. All Numbers to the left of the decimal point are whole numbers. Any number with numbers to the left have a whole number which is bigger than any decimal.
To the right of the decimal point the place values gets smaller the further you are to the right.
Compare 0.42 and 0.675 The 4 and 6 are both in the tenths place, therefore 0.42 is the smallest no matter how many more digits either has to the right of that number.
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+ By=C. (3,2) and (5,8)
The equation of the line passing through points (3,2) and (5,8) in the form of Ax+By=C will be written as follows: equation of the line is given by the formula: a(x-x1)=y-y1 where a is the slope a=(y-y1)/(x-x1) thus using our values: a=(8-2)/(5-3)=6/2=3 thus the equation of the line will be: 3(x-3)=y-2 simplifying the above and writing in the form of Ax+By=C we shall have: 3x-9=y-2 3x-y=-2+9 3x-y=7 thus 3x-y=7 is in the form of Ax+By=C where A=3, B=-1 and C=7
Find an equation of the line described. Write the equation in slope-intercept form when possible. Slope 1, through (-4,3)
The equation of the line:
The point-slope form of the equation of the line:
Write an equation of the line with the given slope, m, and y-intercept (0,b) m=-3/5 b=7/10
Y=-3/5x+7/10 is the correct answer. y=mx+b
Which has smallest value 0.79 or 0.425
The smallest value is 0.79
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Show your working.
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What was his investment worth at the end of the first year?
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None of these