Answer:
<em>Cathy was born in 1980 and she was 18 years old in 1998</em>
Step-by-step explanation:
<u>Equations</u>
This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.
Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as
In 1998, Cathy's age was
And it must be equal to the sum of the four digits
Rearranging
We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus
Operating
If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]
c=8, d=0
Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18
Answer:
This appears to be exponential based on the plot of these points
Step-by-step explanation:
See image
1/4
2/8
4/16
3/12
u can convert fractions into percents by multiplying the first number by the second. hope this helped:))
Area of rectangle is the multiplication between the sides.
The first rectangle:
A = (2x + 5) . (3x - 2)
A = 2x . 3x - 2 . 2x + 5 . 3x - 2 . 5
A = 6x² - 4x + 15x - 10
A = 6x² + 11x - 10
The second rectangle:
A = (5y + 5) . (2y - 3)
A = 5y . 2y - 3 . 5y + 5 . 2y - 3 . 5
A = 10y² - 15y + 10y - 15
A = 10y² - 5y - 15
In order to do this, we have to 1st find the volume of each ball using the sphere volume formula: 4/3(pi)r^3
Baseball: 4/3(pi)(1.375in)^3
Soccer ball: 4/3(pi)(4.25in)^3
Calculate to get:
Baseball: about 10.89
Soccer ball: about 321.56
So subtract these 2 numbers:
321.56in^3 - 10.89in^3
= 310.67 in^3
So the difference in volume between these two objects would be 310.67 in^3
