Answer: 
Step-by-step explanation:
Given
The dimension of the box is
Space occupied by the box is equal to its volume i.e.
The volume of the box is .
11*2 = 22 (calculating the diameter)
Using πD for the area:
π * 22 = 22π
Getting 3/4 of the area because the dog can not move past the corners of the garage;
22π * 3/4 = 16.5π
Getting the answer in feet^2:
16.5 * 3.14 = 51.84 feet^2
Hope this helps! :)
You apply the rule to put the exponent in front, and lower it by one. But since this is a nested expression, you apply it twice:
4*(5x^3-4)^3 * 3*5x^2 =
60x^2 (5x^3-4)^3
The general equation of a line is
y= ax + b
where a is the slope
So a = -7
So y= -7x + b
But it passes through the point (5, -3)
Substitute the coordinates to calculate b:
So -3 = -7(5) + b
-3 = -35 + b
b= 35-3
b= 32
So the equation of the line of slope -7 and passing through the point (5, -3) is
y= -7x + 32
There are 36^7 different passwords available, incluiding ones that have repeated characters, are sequential characters, or are all the same letter or digit. Of these 26^7 are invalid. the probability of obtaining a valid password is
... 1 - 26^7/36^7 ≈ 0.8975
