a. The first part asks for how many ways they can be seated together in a row. Therefore we want the permutations of the set of 6 people, or 6 factorial,
6! = 6 
5
= 30 4
= 360 2 = 720 possible ways to order 6 people in a row
b. There are two cases to consider here. If the doctor were to sit in the left - most seat, or the right - most seat. In either case there would be 5 people remaining, and hence 5! possible ways to arrange themselves.
5! = 5 4
= 20 3
= 120 1 = 120 possible ways to arrange themselves if the doctor were to sit in either the left - most or right - most seat.
In either case there are 120 ways, so 120 + 120 = Total of 240 arrangements among the 6 people if the doctor sits in the aisle seat ( leftmost or rightmost seat )
c. With each husband on the left, there are 3 people left, all women, that we have to consider here.
3! = 3 2 6 ways to arrange 3 couples in a row, the husband always to the left
Based on the information given, it should be noted the central idea is C. Making and using a solar oven is a learning experience.
<h3>What is a central idea?</h3>
A central idea simply means the main idea that's in a literary work. It's the unifying element that's in a story.
The central idea is that making and using a solar oven is a learning experience and the detail that supports the central idea is that "by completing this project, you will make an inexpensive, ecologically friendly piece of equipment and learn about the science behind what you’re doing".
Learn more about central ideas on:
brainly.com/question/2684713
x2+12x+32
Factor out 2 from the expression
2(x+6x+16)
Collect like terms
2(7x+16)
Now we do the same thing only different way ok
x+6x
If a term doesn't have a coefficient , it is considered that the coefficient is 1
1x+6x
Collect like terms by adding their coefficients
(1+6)x
Add the numbers
7x
1+6=7
To add the numbers using a number line, start from zero.
Since 1 is positive, move the point 1 unit to the right.
Since 6 is positive, move the point 6 units to the right
The result is 7
Answer : 2(7x+16)
That's it . Hope it wasn't too hard to understand?
Please give me as brainliest
Solution:
we are given that
Both circle Q and circle R have a central angle measuring 140°. The area of circle Q's sector is 25π m^2, and the area of circle R's sector is 49π m^2.
we have been asked to find the ratio of the radius of circle Q to the radius of circle R?
As we know that
Area of the sector is directly proportional to square of radius. So we can write
Answer:hi
Step-by-step explanation:
