The mean of the data set is 26 because the sum of all the data points divided by the number of data points is 26.4 repeating which rounds to 26.
Answer:
The width of the frame is 0.0746 meters
Step-by-step explanation:
We are told that after the frame has been attached to the solar collector, the area that is left exposed is
. As we see in the figure, the dimensions of this area are
and 
where
is the width of the frame.
The product of these dimensions must equal the exposed area:

Now since
and
we have:

we expand this and solve for x using the quadratic formula:


we get two solutions:


We take the second solution i.e
, because first one gives a width larger than the dimensions of the solar collector which cannot be possible.
Thus the width of the frame is 0.0746 meters.
Answer:
is equivalent to
and 
is equivalent to
and
.
The expressions which are equivalent to neither:
and 
Step-by-step explanation:
Given the expressions:
1) 
2) 
To find:
The expressions equivalent to the given expressions.
or the expressions which are not equivalent to any of the given expressions.
Solution:
First of all, let us solve the brackets from the given expressions.
can be written as
(because when we multiply a negative sign with negative, it becomes positive.)
Similarly
can be written as
(because when we multiply a positive sign with negative, it becomes negative.)
Therefore, the answer is:
is equivalent to
and 
is equivalent to
and
.
The expressions which are equivalent to neither:
and 
An=a1+d (n-1)
A1=200 since that's the first term that can be a multiple of 5
N=? That's what we need to find
An=1195 since that's the last multiple of 5 that we can use
D=5
Plug in
1195=200+5 (n-1)
-200 both sides
995=5 (n-1)
Distribute 5 to n-1
995=5n-5
+5 both sides
1000=5n
÷5 both sides
N=200 there are 200 multiples of 5 in between 199 and 1198
Answer:
A
Step-by-step explanation:
a translation 16 units to the left will replace x with x+16, and a translation 6 units down will replace g(x) with g(x)-6, so it's A.