Answer:
13
Step-by-step explanation:
Pythagreom Therom:
a^2+b^2=c^2
12^2+5^2=c^2
144+25=c^2
169=c^2
c=13
Answer:
as shown in the attached file
Step-by-step explanation:
The detailed steps and application of differential equation, the use of integrating factor to generate the solution and to solve for the initial value problem is as shown in the attached file.
Answer:
120 liters of 60% alcohol solution is needed
Step-by-step explanation:
Let's assume
x liters of 60% alcohol solution is added
so, we get solution as


we are given
40 liters of a 20% alcohol solution is



so, total alcohol solution is

now, we can find total solutions
total solutions is

now, it is making 50% solution
so, we get

now, we can solve for x




So,
120 liters of 60% alcohol solution is needed
Answer:
1. 8,400
2. 3,600
3. 1,500
Step-by-step explanation:
multiply the weeks by the number of cars first, and then times it by the amount of money per car
(weeks×cars per week) money per car