Answer:
6 Days
Step-by-step explanation:
Practically:
It takes,
10 Men ( complete ) 5 Copies --> 6 Days
So, 2 Men can complete 1 copy in 6 days.
Question asks us :
8 Men ( complete ) 4 Copies --> X Days
It will take 6 days because the proportion of men to copies is same as the first equation.
Theoretically:
10 Men 5 Copies 6 Days
8 Men 4 Copies X Days
> 6/X = 8/10 ( If men decrease the number of days increase. So, it is an indirect proportion. ) . 5/4 ( If copies decrease the number of days decrease as well. So, it is a direct proportion. )
> 6/X = 8/10 . 5/4
> 6/X = 40/40
> 6/X = 1
<h2>
> X=6</h2><h2>
</h2><h2><em>
I hope it will be understood.</em></h2><h2><em>
If I have any inaccuracies please let me know.</em></h2><h2><em>
Have a nice day and never stop questioning!</em></h2><h3><em>
</em></h3>
Answer:
![N(T(t)) = 1408t^2 - 385.6t - 105.52](https://tex.z-dn.net/?f=N%28T%28t%29%29%20%3D%201408t%5E2%20-%20385.6t%20-%20105.52)
Time for bacteria count reaching 8019: t = 2.543 hours
Step-by-step explanation:
To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:
![N(T(t)) = 22 * (8t + 1.7)^2 - 123 * (8t + 1.7) + 40](https://tex.z-dn.net/?f=N%28T%28t%29%29%20%3D%2022%20%2A%20%288t%20%2B%201.7%29%5E2%20%20-%20123%20%2A%20%288t%20%2B%201.7%29%20%2B%2040)
![N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40](https://tex.z-dn.net/?f=N%28T%28t%29%29%20%3D%2022%20%2A%20%2864t%5E2%20%2B%2027.2t%20%2B%202.89%29%20-%20984t%20-%20209.1%20%2B%2040)
![N(T(t)) = 1408t^2 + 598.4t + 63.58 - 984t - 169.1](https://tex.z-dn.net/?f=N%28T%28t%29%29%20%3D%201408t%5E2%20%2B%20598.4t%20%2B%2063.58%20-%20%20984t%20-%20169.1)
![N(T(t)) = 1408t^2 - 385.6t - 105.52](https://tex.z-dn.net/?f=N%28T%28t%29%29%20%3D%201408t%5E2%20-%20385.6t%20-%20105.52)
Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:
![8019 = 1408t^2 - 385.6t - 105.52](https://tex.z-dn.net/?f=8019%20%3D%201408t%5E2%20-%20385.6t%20-%20105.52)
![1408t^2 - 385.6t - 8124.52 = 0](https://tex.z-dn.net/?f=1408t%5E2%20-%20385.6t%20-%208124.52%20%3D%200)
Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.
Answer:
61/70
Hello everyone my name is Nevaeh, I know everyone needs help in some way, shape, or form and i am willing to provide. I set up a google classroom where people can ask me questions and get help on work. No question is a stupid question so do not be afraid to ask. I usually only focus on core subjects but if you ask i will help with other specialized subjects. I can do essays all the way to power points :)
My google classroom is Brainly help the code is 7hr2k4
Step-by-step explanation:
i dont know and understand your questions so i added the 2 fractions together
295×((((1+0.1÷4)^(4×6)−1)
÷(0.1÷4))×(1+0.1÷4))
=9,781.54
Answer:
The height of the kite above the ground is 102 .44 feet
Step-by-step explanation:
To find the height of the kite above the ground, we will follow the steps below:
let h represent the height of the kite above the ground
we will use trigonometric ratio to solve
SOH CAH TOA
sinФ = opposite/hypotenuse
cosФ=adjacent / hypotenuse
tanФ=opposite / adjacent
from the diagram below
opposite = h
hypotenuse = 130 feet
Ф = 52°
The best trig ratio to use is sin
sin Ф = opposite / hypotenuse
sin52° = h / 130
cross-multiply
h = 130 sin 52°
h=102.44°
The height of the kite above the ground is 102 .44 feet