Answer:
4.428 hours
Step-by-step explanation:
If the learning rate is 0.81, the slope of the learning curve is:
![b=\frac{ln(0.81)}{ln(2)} \\b=-0.304](https://tex.z-dn.net/?f=b%3D%5Cfrac%7Bln%280.81%29%7D%7Bln%282%29%7D%20%5C%5Cb%3D-0.304)
The time it takes to produce the n-th unit is:
![T_n=T_1*n^b](https://tex.z-dn.net/?f=T_n%3DT_1%2An%5Eb)
If T1 = 8 hours, the time required to produce the seventh unit will be:
![T_n=8*7^{-0.304}\\T_n=4.428\ hours](https://tex.z-dn.net/?f=T_n%3D8%2A7%5E%7B-0.304%7D%5C%5CT_n%3D4.428%5C%20hours)
It will take roughly 4.428 hours.
Answer:
y+1=3(x-4)
Step-by-step explanation:
Hi there!
We are given a slope of 3 and a point (4,-1).
We need to find the equation of the line in point-slope form
Point-slope form is given as y-y1=m(x-x1), where m is the slope, and (x1,y1) is a point
We have all of the needed information to substitute into the formula
First, let's label the values of everything to avoid any confusion
m=3
x1=4
y1=-1
now substitute into the formula *remember, the formula has SUBTRACTION, and we have a NEGATIVE number, so we'll end up subtracting a negative*
y--1=3(x-4)
simplify
y+1=3(x-4)
That's it!
Hope this helps :)
Answer:
x = -19
Step-by-step explanation:
![\frac{x-26}{-9}=5](https://tex.z-dn.net/?f=%5Cfrac%7Bx-26%7D%7B-9%7D%3D5)
Multiply both sides of the equation by -9.
![\frac{\left(x-26\right)\left(-9\right)}{-9}=5\left(-9\right)](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%28x-26%5Cright%29%5Cleft%28-9%5Cright%29%7D%7B-9%7D%3D5%5Cleft%28-9%5Cright%29)
x - 26 = -45
Add 26 to both sides.
x - 26 + 26 = -45 + 26
x = -19
The answer is (3,2)
To get this answer we either...
A) Multiply both coordinates by 1/3
or
B) Divide each coordinate by 3
9*(1/3) = 9/3 = 3
6*(1/3) = 6/3 = 2