Answer: -6.8
Step-by-step explanation:
First you have to find the mean of all the #’s so to do that you will have to add all the #’s up including the negatives and you would get -34, after you do that you will have to divide by 5 and get -6.8
We know that
<span>8 machines in the factory could make all the bottles in 5 days
so
100%-----------> 5 days
1 day------------> 100%/5------> 20% with 8 machines
1 machine work at the rate-------> 20%/8-----> 2.5% per day
day 1---------> </span><span>4 machines are used to make the bottles-----> 4*2.5%---> 10%
</span>day 2--------> 4 machines are used to make the bottles-----> 4*2.5%---> 10%
day 3-------->8 machines are used to make the bottles-----> 8*2.5%---> 20%
day 4-------->8 machines are used to make the bottles-----> 8*2.5%---> 20%
day 5-------->8 machines are used to make the bottles-----> 8*2.5%---> 20%
day 6-------->8 machines are used to make the bottles-----> 8*2.5%---> 20%
<span>total work in 6 days=[10+10+20+20+20+20]------> 100%
the answer is
6 days
</span>
Answer:
the modulus of a complex number z = a + bi is:
Izl= √(a²+b²)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nl = 3√10
√(a² + b²+ 2²+ 6²)= 3√10
√(a^2 + b^2 + 40) = 3√10
squaring both side
a²+b²+40 = 3^2*10 = 9*10 =90
a²+b²= 90 - 40
a²+b²=50
So,
|n|=√(a^2 + b^2) = √50
The modulus of n must be equal to the square root of 50.
now
values a and b such
a^2 + b^2 = 50.
for example, a = 5 and b = 5
5²+5²=25+25= 50
Then a possible value for n is:
n = 5+5i
Answer: y= -3
Step-by-step explanation: some things you have to do alone my good man
Answer:
![9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]](https://tex.z-dn.net/?f=9c%5E3%20-%2012c%5E2%20-%2018c%20-%2024%3D%20%5B3c%5E2%20-%206%5D%5B3c%20-%204%5D)
Step-by-step explanation:
Given

Required
Factor
Group into 2
![[9c^3 - 12c^2] - [18c + 24]](https://tex.z-dn.net/?f=%5B9c%5E3%20-%2012c%5E2%5D%20-%20%5B18c%20%2B%2024%5D)
Factorize each group
![3c^2[3c - 4] - 6[3c - 4]](https://tex.z-dn.net/?f=3c%5E2%5B3c%20-%204%5D%20-%206%5B3c%20-%204%5D)
Factor out 3c - 4
![[3c^2 - 6][3c - 4]](https://tex.z-dn.net/?f=%5B3c%5E2%20-%206%5D%5B3c%20-%204%5D)
Hence:
![9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]](https://tex.z-dn.net/?f=9c%5E3%20-%2012c%5E2%20-%2018c%20-%2024%3D%20%5B3c%5E2%20-%206%5D%5B3c%20-%204%5D)