Answer:
20
Step-by-step explanation:
Let A, B, C and D sets.
Let |A| the number of elements of A.
Remember, the quantity of elements that have the set is
1. Since each set has 100 elements,
2. each pair of the sets shares 50 elements
3. each three of the sets share 25 elements,
4. the four sets share 5 elements
Then
So, there are 20 elements in the union of the sets A, B, C and D
Answer:
x = -4
Step-by-step explanation:
logs (8 - 3x) = log20
Since we are taking the log on each side
log a = log b then a = b
8 -3x = 20
Subtract 8 from each side
8 -3x-8 =20 -8
-3x = 12
Divide by -3
-3x/-3 = 12/-3
x = -4
11.025 pounds hope this helped
Answer:
y = 5/4x - 6
Step-by-step explanation:
First, put 4x + 5y= -45 in y = mx + b form
4x + 5y= -45
5y = -4x - 45
y = -4/5x - 9
So, the slope is -4/5. Perpendicular lines have a opposite reciprocal slope, so the line's slope will be 5/4
To find the equation of the perpendicular line, plug in the slope and given point into y = mx + b, and solve for b
y = mx + b
-11 = 5/4(-4) + b
-11 = -5 + b
-6 = b
Plug in b and the slope into y = mx + b
y = 5/4x - 6
So, the equation is y = 5/4x - 6
Answer:
the box is 225 cubic inches.
Step-by-step explanation: