Answer:
Step-by-step explanation:
<em>Parallel lines divide the transversals proportionally.</em>
Set proportions and solve for k:
- k/24 = 64/32
- k/24 = 2
- k = 24*2
- k = 48
Correct choice is E.
Answer:
Step-by-step explanation:
You have the following differential equation:
(1)
In order to find the solution to the equation, you can use the method of the characteristic polynomial.
The characteristic polynomial of the given differential equation is:
The solution of the differential equation is:
(2)
where m1 and m2 are the roots of the characteristic polynomial.
You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:
Answer:
47 pizzas
Step-by-step explanation:
Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that.
If the number of hours after the first hour is represented as x, then the number of pizzas he makes after x hours is:
6 + 3x
Lauren makes 11 pizzas in the first hour and 3 pizzas each hour after that. Then:
11 + 3x
The pizzeria is open for 6 hours in all, that is, 5 hours after the first hour.
This means that:
x = 5
The total amount of pizzas that Dave and Lauren make is:
6 + 3x + 11 + 3x
=> 17 + 6x
Therefore, the total amount of pizza they make 5 hours after the first hour is:
17 + 6(5) = 17 + 30 = 47 pizzas
Answer:
a) 12 ( I'm pretty sure)
Step-by-step explanation:
Answer:
1. real number, irrational number
2. rational number, real number
