Answer:
- horizontally compressed by a factor of 2 and translated upward by 3 units.
Step-by-step explanation:
A multiplier of x in a function transformation is effectively a compression factor. That is f(2x) will have half the horizontal extent of f(x) for the same values of x.
Addition of a constant the the value of a function effectively translates the graph upward by that amount. The graph of y = log(2x) +3 has been translated upward 3 units.
The graph of y=log(x) has been horizontally compressed and translated upward to produce the graph of y = log(2x) +3.
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2+b^2=c^2
7^2+KL^2=25^2
49+KL^2=625
KL^2=625-49
KL=
KL=24
take M as reference angle
using tan rule
tan M=/opposite/adjacent
tan M=KL/ML
tan M=24/7
Answer: a) 15, b) 1.
Step-by-step explanation:
A researcher studying public opinion of proposed social security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more Americans does the researcher need to sample in the following cases?
(a) 10% of all adult Americans support the changes
Here,
And ,
So, consider the equality, to find the value of 'n'.
So, there are more adult Americans needed.
(b) 15% of all adult Americans supports the changes
Here,
So, again we get that
So, there are more adult Americans needed.
Hence, a) 15, b) 1.
Answer:
Your Answer Is 10
Step-by-step explanation:
1st Factor the Numerator and Denominator then cancel the common factor.
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Parshv