Answer:
See below
Step-by-step explanation:

Recall

Using the chain rule

such that 
we can get a general formulation for

Considering the power rule

we have

therefore,

Now, once

we have

Hence, we showed

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For the integration,

considering the previous part, we will use the identity

thus

and

Considering 
and then 
we have

Therefore,


Ok. So she wants to advertise that there are 100 different dolls available. If she adds another category, then at most she already had 99 different types. If I'm right (don't take my word for it) but the minimum she would have to have is one. <span />
Answer:
A. -1.6; not significant
Step-by-step explanation:
The z-score of a data set that is normally distributed with a mean of
and a standard deviation of
, is given by:
.
From the question, the test score is:
, the mean is
, and the standard deviation is
.
We just have to plug these values into the above formula to obtain:
.
This simplifies to:
.
.
We can see that the z-score falls within two standard deviations of the mean.
Since
the value is not significant.
The correct answer is A. -1.6; not significant
Answer:
The SA of the rectangle is 270. The SA of both the triangles is 24
Put 65 over 100 so it's a fraction and simplify from there i think