27.43 * 4.5 = 123.435
Joe jogged 123.435 meters
Step-by-step explanation:
v=4/3*π*r^3
v=4/3*22/7*(1/2)^3
v=4/3*22/7*1/8
v=11/21
v=0.52 units^3
Step-by-step explanation:
Given
f(x) = 8x - 9
Then
For a.
f(3y - 1 ) = 8(3y - 1 ) - 9
= 24y - 8 - 9
= 24y - 17
Now for b.
f(x) = - 23
or, 8x - 9 = - 23
8x = - 23 + 9
8x = - 14
x = - 14 / 8
x = - 7 / 4
Hope it will help :)
Rationalize the numerator:

This is continuous at
, so we can evaluate the limit directly by substitution:

Answer:
Difference between the original and current volumes = 4013140.30 cubic feet
Step-by-step explanation:
Largest pyramid has the square base with one edge = 754 feet
Area of the square base = (Side)²
= (754)²
= 568516 square feet
Volume of the pyramid = 
= 
= 91152065.3 cubic feet
After erosion,
Area of the base = (745)² = 555025 square feet
Volume of the pyramid = 
= 87138925 cubic feet
Difference between the original and current volumes of the pyramid
= 91152065.30 - 87138925
= 4013140.30 cubic feet