Answer:
y''=-1.26
Step-by-step explanation:
We are given that 
We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.
Differentiate w.r.t x
Then , we get




Again differentiate w.r.t.x
Then , we get


Using value of y'


Substitute x=2 and y=3
Then, we get 

Hence,y''=-1.26
Step-by-step explanation:
OA=AC=OC=2 (equal triangle)
which means angle O =60 degree
tan 60 = AB / 2
AB = 2 tan 60 =

Answer:$14.08 and the discount is $16
Step-by-step explanation:first you find 20% of 80 which is 16 and you subtract it from 80 which gives you 64 then you have to find 3% of 64 which is 1.92 and you add it to 64 which is 65.92 then to find how much you are saving you subtract 65.92 from 80 which is 14.08
They are both correct in their computation
(28.5-28.5(.3))+.1(28.5-28.5(.3))=$21.945
28.5(.7)(1.1)=$21.945
And since they each have $22 to spend, they have enough to purchase the book.
Answer:
The test statistic value is 15.3.
Step-by-step explanation:
The hypothesis for this test is:
<em>H</em>₀: The average number of homeless people is not increasing, i.e. <em>μ</em> = 42.3.
<em>H</em>ₐ: The average number of homeless people is increasing, i.e. <em>μ</em> > 42.3.
Given:

As the population standard deviation is provided use a single mean <em>z</em>-test for the hypothesis testing.
The test statistic is:

Thus, the test statistic value is 15.3.