Answer: y = x
Step-by-step explanation: Since this does not correspond to a size or amount to a number, then this is not proportional
Answer:
Step-by-step explanation:
Numerator
sin
x
cos
y
+
cos
x
sin
y
−
[
sin
x
cos
y
−
cos
x
sin
y
)
=
sin
x
cos
y
+
cos
x
sin
y
−
sin
x
cos
y
+
cos
x
sin
y
=
2
cos
x
sin
y
Denominator
cos
x
cos
y
−
sin
x
sin
y
+
cos
x
cos
y
+
sin
x
sin
y
=
cos
x
cos
y
−
sin
x
sin
y
+
cos
x
cos
y
+
sin
x
sin
y
=
2
cos
x
cos
y
---------------------------------------------------------------
left side can now be expressed as
2
cos
x
sin
y
2
cos
x
cos
y
=
2
cos
x
sin
y
2
cos
x
cos
y
=
sin
y
cos
y
and
sin
y
cos
y
=
tan
y
=
right side hence proved
We know that
The MAD is <span>the mean absolute deviation of the data
step 1
</span><span>To find the mean absolute deviation of the data, start by finding the mean of the data set.
</span><span>Find the sum of the data values, and divide the sum by the number of data values
</span>sum of the data values=[130+150+190+100+175+120+165+140+180+190]
sum of the data values=1540
number of data=10
Mean=1540/10-----> 154
step 2
<span>Find the absolute value of the difference between each data value and the mean: |data value – mean|.
</span> |130 – 154|=24
|150 – 154|=4
|190 – 154|=44
|100 – 154|=54
|175 – 154|=21
|120 – 154|=34
|165 – 154|=11
|140 – 154|=14
|180 – 154|=26
|190 – 154|=44
step 3
<span>Find the sum of the absolute values of the differences.
</span>=[24+4+44+54+21+34+11+14+26+44]------> 276
step 4
<span>Divide the sum of the absolute values of the differences by the number of data values.
</span>276/10-----> 27.6
the answer is
27.6
Answer:
x = 0
Step-by-step explanation:
Given
9 + 5x = 9 + 2x ( subtract 2x from both sides )
9 + 3x = 9 ( subtract 9 from both sides )
3x = 0 ⇒ x = 0
Answer:
Initial value is 
.
Step-by-step explanation:
Let us assume that the exponential function is 
...... (1)
Now, the point 
will satisfy the above equation.
Now, this point on the graph of the exponential function will be sufficient to find the initial value of the function (1) i.e. a.
Now, putting the value x = 0 and 
in the equation (1) we get,
⇒ 
⇒ 
(Answer)
