Answer:
Consider the parent logarithm function f(x) = log(x)
Now,
Let us make transformations in the function f(x) to get the function g(x)
•On streching the graph of f(x) = log(x) , vertically by a factor of 3, the graph of y = 3log(x) is obtained.
•Now, shrinking the graph of y = 3log(x) horizontally by a fctor of 2 to get the grpah of y = 3log(x/2) i.e the graph of g(x)
Hence, the function g(x) after the parent function f(x) = log(x) undergoes a vertical stretch by a factor of 3, and a horizontal shrink by a factor of 2 is
g(x) = 3 log(x/2) (Option-B).
Answer:
Option B: 26cm is the radius of smaller circle.
Step-by-step explanation:
Given that:
Ratio of circumferences of two circles = 2:3
We know that circumference of circle is given by 2πr.
Radius of larger circle =
= 39 cm
Radius of smaller circle = ![r_{1}](https://tex.z-dn.net/?f=r_%7B1%7D)
Now,
![\frac{2\pi r_1}{2\pi r_2}=\frac{2}{3}\\\frac{r_1}{r_2}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%20r_1%7D%7B2%5Cpi%20r_2%7D%3D%5Cfrac%7B2%7D%7B3%7D%5C%5C%5Cfrac%7Br_1%7D%7Br_2%7D%3D%5Cfrac%7B2%7D%7B3%7D)
Putting radius of larger circle
![\frac{r_1}{39}=\frac{2}{3}\\\\r_1=\frac{2}{3}*39\\\\r_1=26](https://tex.z-dn.net/?f=%5Cfrac%7Br_1%7D%7B39%7D%3D%5Cfrac%7B2%7D%7B3%7D%5C%5C%5C%5Cr_1%3D%5Cfrac%7B2%7D%7B3%7D%2A39%5C%5C%5C%5Cr_1%3D26)
Therefore,
The radius of smaller circle is 26cm.
Hence,
Option B: 26cm is the radius of smaller circle.
Step-by-step explanation:
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7 because if you do the inverse operation: 7 x 9 = 63
Answer:
1999.75
Step-by-step explanation:
2000 - 0.25
1999.75