Answer:
About 108 times
Step-by-step explanation:
Given:
An average soccer player travels 7 miles during a game
A typical field is 104 meters long.
To find:
How many times did the average soccer play travel the length of the field?
Solution:
An average soccer player travels during the game = 7 miles
First convert 7 miles into meters, 1 mile = 1609.34 meter
7 mile = 1609.34 \times 7 = 11265.41 m
Length of field = 104 meters
To find number of times average soccer player travel the length of the field, we will divide an average soccer player travels during the game by Length of field
11265.41 m 
104 = 108.32
Therefore, about 108 times average soccer player travel the length of the field
We can write this as the difference of squares:
(5b⁸+8c)(5b⁸-8c)
To write as the difference of squares, take the square root of each term first:
√25b¹⁶ = 5b⁸; √64c² = 8c
Now we write this as a sum in one binomial and a difference in the other:
(5b⁸+8c)(5b⁸-8c)
Answer:
The radius is 9 mm
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3 where r is the radius
972 pi = 4/3 pi r^3
Divide each side by pi
972 = 4/3 r^3
Multiply each side by 3/4 to isolate r^3
3/4 * 972 = 4/3 * 3/4 r^3
729 = r^3
Take the cube root of each side
(729) ^ (1/3) = (r^3) ^ (1/3)
9 = r
The radius is 9 mm
It will be understood that population 6,000 billion (6*10^12) in 2017.
If this is not the case, follow the logic and the final number can be adjusted easily.
Mathematical answer:
In 2017: 6,000 billion=6000*10^9 =6*10^12
rate of increase = 1.3% per year (assumed constant)
final year = 2100
Population estimate in 2100
=6*10^12*(1.013^(2100-2017))
=6*10^12*(1.013^(83)
=6*10^12*(2.921352509198383)
=17.528*10^12
=17,528 billion.
point slope equation formula: y - y1 = m (x - x1)
(-1,4) (-2,1)
answer:
1 -4 = 3 (-2+1)
