Answer: The correct answer is Choice C.
Step-by-step explanation: In order to solve this problem you need to look at the equation’s parts.
The first part is multiplying 5 by the contents of the parenthesis. So, 5(2x-2) equals 10x - 10. Now, but the equation together and simplify it:
10x - 10 + 10x =
20x - 10
Answer:
V = 20.2969 mm^3 @ t = 10
r = 1.692 mm @ t = 10
Step-by-step explanation:
The solution to the first order ordinary differential equation:

Using Euler's method

Where initial droplet volume is:

Hence, the iterative solution will be as next:
- i = 1, ti = 0, Vi = 65.45

- i = 2, ti = 0.5, Vi = 63.88

- i = 3, ti = 1, Vi = 62.33

We compute the next iterations in MATLAB (see attachment)
Volume @ t = 10 is = 20.2969
The droplet radius at t=10 mins

The average change of droplet radius with time is:
Δr/Δt = 
The value of the evaporation rate is close the value of k = 0.08 mm/min
Hence, the results are accurate and consistent!
The data given on the table about the ten participants in the health study shows that B. The post-run mean and median are the same value.
<h3>What is the post run mean?</h3>
This can be found as:
= (87 + 95 + 96 + 101 + 110 + 104 + 100 + 101 + 90 + 96) / 10
= 98
<h3>What is the post run median?</h3>
First order the pulses from smallest to largest:
= 87, 90, 95, 96, 96, 100, 101, 101, 104, 110
The two digits in the middle are:
96 and 100
The median will be:
= (96 + 100) / 10
= 98
In conclusion, option B is correct.
Find out more on the median at brainly.com/question/396397.
Using a system of equations, it is found that Debbie worked 45 hours during the week.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Amount of hours worked by Juan.
- Variable y: Amount of hours worked by Debbie.
Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:
9x + 9y = 765
Simplifying the expression by 9:
x + y = 85 -> x = 85 - y.
Debbie worked five hours more than juan during the week, hence:
y = x + 5.
Since x = 85 - y, we replace in the expression:
y = 85 - y + 5.
2y = 90.
y = 45.
Debbie worked 45 hours during the week.
More can be learned about a system of equations at brainly.com/question/24342899
#SPJ1