Answer:
Step-by-step explanation:
hello :
let : Z1 = 2-4i Z2 = 6+i
the distance between Z1 and Z2 is :
/Z2 - Z1 / = /(6+i)-(2-4i)/ =/4+5i/ = √(4²+5²) =√41
Answer: The greatest number of playlist Katherine can make =8
Each of playlist will have 4 pop songs and 9 rock songs.
Step-by-step explanation:
Given: The number of pop songs Katherine has= 32
The number of rock songs Katherine has= 72
If she want to make playlist such that in each playlist there is equal number of pop and rock songs, we need to find the GCF(greatest common factor) of 32 and 72.
We know that 
We can see the GCF(32,72)=
Hence, the greatest number of playlist Katherine can make =8
The number of pop songs= 
the number of rock songs=
Each of playlist will have 4 pop songs and 9 rock songs.
The pounds of steak remaining after the cookout is 3 13/16 pounds
Given:
Total steaks bought = 5 7/8
Steaks used for cookout = 2 1/16
Total steaks remaining = Total steaks bought - Steaks used for cookout
= 5 7/8 - 2 1/16
= 47/8 - 33/16
= (94-33) / 16
= 61/16
= 3 13/16 pounds
Therefore, the pounds of steak remaining after the cookout is 3 13/16 pounds
Learn more about fraction:
brainly.com/question/1622425
Procedure:
1) Integrate the function, from t =0 to t = 60 minutues to obtain the number of liters pumped out in the entire interval, and
2) Substract the result from the initial content of the tank (1000 liters).
Hands on:
Integral of (6 - 6e^-0.13t) dt ]from t =0 to t = 60 min =
= 6t + 6 e^-0.13t / 0.13 = 6t + 46.1538 e^-0.13t ] from t =0 to t = 60 min =
6*60 + 46.1538 e^(-0.13*60) - 0 - 46.1538 = 360 + 0.01891 - 46.1538 = 313.865 liters
2) 1000 liters - 313.865 liters = 613.135 liters
Answer: 613.135 liters
Answer:
it would be 1 million, ( 1,000,000 )
Step-by-step explanation:
1.) look to the right of the nine , (7)
2.) 7 is greater than five therefore rounding it up to 1,000,000
