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
Answer:
-2/3x + y = -7
Step-by-step explanation:
So, y = 2/3x - 7 is the slope-intercept equation. Now, we need to turn it into the standard equation of a slope.
Standard equation --> Ax + By = C
y = 2/3x - 7
-2/3x -2/3x
----------------------
-2/3x + y = -7 --> this is your equation in standard slope form.
Answer:-6,5
Step-by-step explanation:the first digit is your x and the second is your y so we go 6 back from the origin and 5 up from zero and we get -6,5. Also you always do x first
<h3>
Answer: $1,143.60</h3>
Work Shown:
A = P*(1+r/n)^(n*t)
A = 800*(1+0.18/12)^(12*2)
A = 1,143.60224954321
A = 1,143.60
Notes:
- P = 800 is the principal. It is the amount loaned to Jake.
- r = 0.18 is the decimal form of the 18% interest rate
- n = 12 because we're compounding monthly, i.e. 12 times a year
- t = 2 = number of years
- For more information, check out the compound interest formula.
Here is your answer
D. 
π 
REASON:
Formula for volume of sphere
= 4/3×π× r^3
Here, r= 13
So,
volume=4/3×π× 13^3
= 4/3×π× 2197
= 8788/3 ×π
HOPE IT IS USEFUL
