Answer:
The mode of a data set is<u> ALWAYS</u> equal to the mean.
Step-by-step explanation:
Answer:
3 is a whole number while 2/3 is less than 3
Step-by-step explanation:
The answer is D (the fourth option), during EVAPORATION
Answer:
One form of an equation is given by
y=a(x−h
)
2
+k
y=a(x−h)2+k
where
(h,k)
(h,k)
the coordinates of the vertex and
(h,k+
1
4a
)
The parabola is symmetric with respect to
y=x
y=x
and can be viewed as a standard downward parabola with a rotation of 45 degrees clockwise. So, follow the steps below to obtain its equation.
1) The length between the focus and vertex is
f=
4
2
+
4
2
−
−
−
−
−
−
√
=4
2
–
√
f=42+42=42
. The standard equation is
y=−
1
4f
x
2
y=−14fx2
.
2) Shift the vertex to (-2, -2),
y+2=−
1
16
2
–
√
(x+2
)
2
y+2=−1162(x+2)2
3) Rotate the equation -45-degrees
x→
1
2
√
(x−y)
x→12(x−y)
,
y→−
1
2
√
(x+y)
y→−12(x+y)
to get
−
1
2
–
√
(x+y)+2=−
1
16
2
–
√
(
1
2
–
√
(x−y)+2)
2
Step-by-step explanation:
Answer:
The 23rd term is -187
Step-by-step explanation:
U₂₃=??, a=77, d=-12, n=23
U₂₃=a+(n-1)d
U₂₃=77+(23-1)(-12)
U₂₃=77+22(-12)
U₂₃=-187
U₂₃=-187
∴U₂₃=-187