Answer:
The length of the resulting line segment is 20 units and the length of a line segment is preserved on translation.
Step-by-step explanation:
The given length of the line segment is 20 units.
The line segment is translated up 6 units and left 8 units.
Here, the line segment is translated, so the whole line segment is at a new position after translation, there is no change in the length of the line.
So, the length of the line segment is preserved on translation.
After translation, the length of the line remains unchanged.
So, the length of the resulting line segment is 20 units.
Answer:
The model is 
.
Step-by-step explanation:
Consider the given information.
The volume of air inside the lungs increases or decreases so for this we will use the basic sine function ![B(t)=d+a\sin[b(t+ \frac{c}{a})]](https://tex.z-dn.net/?f=B%28t%29%3Dd%2Ba%5Csin%5Bb%28t%2B%20%5Cfrac%7Bc%7D%7Ba%7D%29%5D)
as our parent function.
Let us assume that the phase shift is 0 it means 
.
The air that moves into and out of the lungs is about 498 mL.
It means the amplitude of the function will vary by 249(half of 498).
The reserve and residual volumes of air that remains in the lungs occupy about 1990 mL which is the minimum air in the lungs.
So, the max air will be: 1990+498 =2488 mL
And the average will be d=1990+249=2239 ml
The horizontal stretch will be 
as we know that period of 
is 
and respiratory cycle for an average human takes about 4 seconds.
Hence, the model is .
Before sales tax he would have to pay $40 * (1 - 0.25) + $100 * (1 - 0.35) = $30 + $65 = $95.
With a 6% sales tax he'd have to pay 1.06 * $95 = $100.70.
i hope this helps! :D
For any amount of pure Coffee (no milk), you can put 39 grams of sugar or nearly 10 teaspoons of sugar, as Coffee has no sugar in it. 30ml is a standard espresso size so to be equivalent per ml of liquid you would need to put 3.1 grams of sugar which is less than a teaspoon.
Answer:
Principal or Initial Amount of Money
Step-by-step explanation:
Given, f(x) = 3005(1+0.03)^x.
Now, comparing with f(x)= ab^x where
a = initial value
b = rate of growth
x = time or period
This, function is an exponential growth function. So by comparing we get a= 3005 which is the initial value b = 0.03.
But in this case according to the question, the function f(x)= 3005(1+0.03)^x represents the amount of money in a savings. So the answer is 3005 which is the initial money.
