Answer:
3
Step-by-step explanation:
....,.................
*Please Show Work*
Answer:
a =7.5
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 10 ^2 = 12.5^2
a^2 + 100 =156.25
Subtract 100 from each side
a^2 = 56.25
Take the square root of each side
sqrt(a^2) = sqrt( 56.25)
a =7.5
Answer:
You can make 2 servings.
Step-by-step explanation:
Hi there!
3 cups makes one serving, so 2 servings require 6 cups. Since you don't have 9 cups to make 3 servings, and you don't want partial portions, you can only make 2 servings with 6 cups and have 2 cups left over.
Have a great day!
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Answer:
area= base(length)*height(width)
possible dimensions
4 *3, 3*4
6*2, 2*6
12*1, 1*12
Answer:
Step-by-step explanation:
5i ⋅i⋅(−2i)= −
10 ⋅ i2 ⋅ i= − 10 ⋅ (−1) ⋅ i = 10i
Salt flows into the tank at a rate of
(5 lb/gal) * (6 gal/min) = 30 lb/min
The volume of solution in the tank after t min is
600 gal + (6 gal/min - 12 gal/min)*(t min) = 600 - 6t gal
which means salt flows out at a rate of
(A(t)/(600 - 6t) lb/gal) * (12 gal/min) = 2 A(t)/(100 - t) lb/min
Then the net rate of change of the salt content is modeled by the linear differential equation,
Solve for A:
Multiply both sides by the integrating factor, :
Integrate both sides:
The tank starts with no salt, so A(0) = 0 lb. This means
and the particular solution to the ODE is