Wilda can do the job in 4 hours ... she does 1/4 (or 0.25) of it each hour.
Karla can do it in 5 hours ... she does 1/5 (or 0.2) of it each hour.
Wilda worked alone for 1 hour ... 0.25 of the job was done before her helper
arrived. So only 0.75 of the job remained to be done together.
Working together, they accomplish (0.25 + 0.2) = 0.45 of the job in 1 hour.
How many times do they need to do 0.45 of the job in order to finish
the 0.75 of it that remains ? That's the number of hours it will take them,
working together.
0.75 / 0.45 = <em>1 and 2/3</em>
After Wilda worked alone for 1 hour and Karla came along to join her, it will
take them another <em>1 hour and 40 minutes</em> to finish the job and go for a swim.
Answer:
- Yes, diagonals bisect each other
Step-by-step explanation:
<em>See attached</em>
Plot the points on the coordinate plane
Visually, it is seen that the diagonals bisect each other.
We can prove this by calculating midpoints of AC and BD
<u>Midpoint of AC has coordinates of:</u>
- x = (1 - 1)/2 = 0
- y = (4 - 4)/2 = 0
<u>Midpoint of BD has coordinates of:</u>
- x = (4 - 4)/2 = 0
- y = (-1 + 1)/2 = 0
As per calculations the origin is the bisector of the diagonals.
Answer:
[0,2]
Step-by-step explanation:
local maximum is a maximum within some region of x values
Answer:
$3.75
Step-by-step explanation:
This is the answer! Just trust me!
Answer:
2. 1 / a^2
3, 1
4. - 1
Step-by-step explanation:
Formulas : -
x^y / x^z = x^( y - z )
x^-y = 1 / x^y
x^y / x^y = 1
2.
a^2 / a^4
= a^( 2 - 4 )
= a^-2
= 1 / a^2
3.
m^6 / m^6 = 1
4.
- 8^4 / 8^4
= - 1 x 8^4 / 7^4
= - 1