Answer:
- x = log(y/4)/log(1.0256)
- your answer for y=12 is correct
Step-by-step explanation:
The question is asking you to solve ...
y = f(x)
for x. (In other words, find the inverse function.)
You already did this using a constant for y. Do the same thing with y instead of the constant.
y = 4(1.0256^x)
y/4 = 1.0256^x . . . . . . . divide by 4
log(y/4) = x·log(1.0256) . . . . . take logs
log(y/4)/log(1.0256) = x . . . . . divide by the coefficient of x
Now, you have a model for x in terms of y, which is what the question is asking for.
x = log(y/4)/log(1.0256) . . . . . . . exact expression
When y=12, this is ...
x = log(12/4)/log(1.0256) ≈ 43.46 . . . . weeks
_____
This is a linear equation in log(y), so can be written as such:
x = 91.0912·log(y) -54.8424 . . . . . approximate expression
Hi i need more informacion :)01927. i tgink is octagon
<h3>Answer:</h3>
All acute angles are 72.5°; all obtuse angles are 107.5°.
<h3>Explanation:</h3>
Angles on the same side of a transversal cutting parallel lines have measures that total 180°. If o and a represent the measures of the obtuse and acute angles, respectively, then we have ...
... o + a = 180
... o - a = 35
Adding these two equations gives ...
... 2o = 215
... 215/2 = o = 107.5 . . . . degrees
Then the other angle is ...
... a = 107.5 - 35 = 72.5 . . . . degrees
_____
All corresponding angles have the same measures. All vertical angles have the same measures. So the 8 angles that arise from the intersection of the transversal with these two parallel lines will have one or the other of these two measures.
Poor <span>Khianna. Let's help her out.
For the original recipe she needs </span>
![1 \frac 1 2 = \frac 3 2](https://tex.z-dn.net/?f=1%20%5Cfrac%201%202%20%3D%20%5Cfrac%203%202)
cups of brown sugar but only has
![1 \frac 1 8 = \frac 9 8 .](https://tex.z-dn.net/?f=1%20%5Cfrac%201%208%20%3D%20%5Cfrac%209%208%20.)
So the fraction of the brown sugar she has is
![\dfrac{ \frac{9}{8} }{\frac 3 2} = \frac 9 8 \times \frac 2 3 = \frac 3 4](https://tex.z-dn.net/?f=%5Cdfrac%7B%20%5Cfrac%7B9%7D%7B8%7D%20%7D%7B%5Cfrac%203%202%7D%20%3D%20%5Cfrac%209%208%20%5Ctimes%20%5Cfrac%202%203%20%3D%20%5Cfrac%203%204)
She has to scale everything by a factor of
![\frac 3 4](https://tex.z-dn.net/?f=%5Cfrac%203%204)
I won't multiply everything by 3/4 for you. 2 cups butter becomes 1 and a half cups butter, 1 tsp vanilla becomes 3/4 tsp, etc.