![\sqrt[5]{2}-1 = 1 +x - 1](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B2%7D-1%20%3D%201%20%2Bx%20-%201)
Answer:
14.87% per hour
Step-by-step explanation:
Let's pretend we're starting with one bacteria.
Double of one is two
We're gonna have to use this formula: A = P(1 + x)ⁿ
A = Amount (which is 2)
P = Initial amount (which is 1)
x = percentage per time (hour)
n = amount of time (hours)
So our equation will look like this:
2 = 1(1 + x)⁵
First, we need to root both sides to isolate (1 + x)
![\sqrt[5]{2} = \sqrt[5]{(1+x)}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B2%7D%20%3D%20%5Csqrt%5B5%5D%7B%281%2Bx%29%7D)
![\sqrt[5]{2} = 1 +x](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B2%7D%20%3D%201%20%2Bx)
Then subtract both sides by 1
![x=\sqrt[5]{2}-1](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B5%5D%7B2%7D-1)
![\sqrt[5]{2} = 1.148698355](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B2%7D%20%3D%201.148698355)
1.148698355 - 1 = 0.148698355
x = 0.148698355
What's the first and third quartile of -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 7, 7, 7
jek_recluse [69]
There are 14 total numbers.
Make a list of the 7 lowest numbers:
-5, -4, -3, -2, -1, 0 , 1
The first quartile is the middle value of the lower half of numbers
Since there are 7 numbers ( odd number), the middle value is the middle number, which is -2
Now make a list of the 7 highest numbers:
2, 3 , 4, 5 , 7, 7, 7
The 3rd quartile is the middle value of the higher half of numbers.
Again because there are 7 numbers ( odd number), the middle value is the middle number, which would be 5.
First quartile = -2
Third quartile = 5
Answer:
m= -20/11
Step-by-step explanation:
Slope is equal to the change in <em>y</em> over the change in <em>x</em>, or rise over run.
m= change in y/ change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m
=
y
2
−
y
1/
x
2
−
x
1
Substitute in the values of x and y into the equation to find the slope.
m= 3-(-17)/-6-(5)
m= -20/11
Answer:
No real solutions.
Step.-by-step explanation:
Step 1: Subtract 2x from both sides.
For this equation: a=1, b=-2, c=20
Step 2: Use quadratic formula with a=1, b=-2, c=20.
Answer:
2.66 and 4.34
Step-by-step explanation:
To evaluate, substitute the values of y and solve.
So, when y =-2
0.67y + 4 = -1.34 + 4 = 2.66
And when y = 2
0.67y + 4 = 1.34 + 4 = 4.34
Hope this helps.
