Each morning darnell does a combination of aerobics and stretching exercises. the exercises burn different amounts of calories p

Response:

Total individuals Favorable = 5850

Detailed explanation:

Total Individuals = 8000

Company Anticipates those who will respond Favorably = 6000

Percentage Error = = 150

Total individuals Favorable = Company Anticipates those who will respond Favorably minus Percent Error

Total individuals Favorable = 6000-150

Total individuals Favorable = 5850.

Xy = 450

y = x/2 => x=2y  plugging this into the first equation yields 2y*y=450 => y^2 = 225

y=15 since 15*15=225

x=2y therefore x=2*15 = 30 

x=30
y=15

I hope this is helpful to you 

-3(y+2)2-5+6y
Steps
Begin with multiplying: 3 x 2 = 6
= -6(y + 2) - 5 + 6y
Next, expand -6(y + 2): -6y - 12
= -6y - 12-5 + 6y
Now simplify
-6y - 12 - 5 + 6y
= -17

The answer
the full question is
If A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4) create two line segments, and AB ⊥ CD, what condition must be satisfied to establish that AB ⊥ CD?

Let A(x1, y1) and B(x2, y2) represent the first line, while C(x3, y3) and D(x4, y4) represent the second line.

The slope for the first line is given by m = (y2 - y1) / (x2 - x1).
For the second line, the slope is m' = (y4 - y3) / (x4 - x3).

The necessary condition to demonstrate that AB ⊥ CD is

                           
                    (y2 - y1) * (y4 - y3)
m × m' =  ---------  ×  ------------ = -1
                    (x2 - x1)    (y4 - y3)

Answer:

The result to your inquiry is 2 7/24.

Step-by-step explanation:

Data:

Hank's cows yield = 4 3/4 and 4 1/8

Debra's cows yield = 5 1/2 and 5 2/3

Process:

1.- Convert the mixed numbers into improper fractions:

For Hank: (16 + 3)/4 = 19/4 and (32 + 1)/8 = 33/8.

For Debra: (10 + 1)/2 = 11/2 and (15 + 2)/3 = 17/3.

2.- Add Hank's and Debra's milk quantities:

Hank: 19/4 + 33/8 = 38/8 + 33/8 = 71/8.

Debra: 11/2 + 17/3 = 33/6 + 34/6 = 67/6.

3.- Subtract Hank's total from Debra's total:

67/6 - 71/8 = (268 - 213)/24.

Thus, it simplifies to 55/24.

- Convert back to a mixed number:

2

24 55

7

Where 55/24 equals 2 7/24.

4.- Conclusion:

Debra produced 2 7/24 more milk than Hank.