Answer:
So the time is 5:17 a.m.
Explanation:
Note that:
11:32 pm is 28 minutes before midnight.
Adding the 534 hours will take the time into early morning.
So all we need to do to find the new time (am) is to subtract 28 minutes from 534 hours.
534→5 hours and 45 minutes
Subtracting the minutes:
45
28−− ← Subtract
17
So the time is 5:17 a.m.
Answer:
Step-by-step explanation:
x
2
+
x
−
6
=
(
x
+
3
)
(
x
−
2
)
x
2
−
3
x
−
4
=
(
x
−
4
)
(
x
+
1
)
Each of the linear factors occurs precisely once, so the sign of the given rational expression will change at each of the points where one of the linear factors is zero. That is at:
x
=
−
3
,
−
1
,
2
,
4
Note that when
x
is large, the
x
2
terms will dominate the values of the numerator and denominator, making both positive.
Hence the sign of the value of the rational expression in each of the intervals
(
−
∞
,
−
3
)
,
(
−
3
,
−
1
)
,
(
−
1
,
2
)
,
(
2
,
4
)
and
(
4
,
∞
)
follows the pattern
+
−
+
−
+
. Hence the intervals
(
−
3
,
−
1
)
and
(
2
,
4
)
are both part of the solution set.
When
x
=
−
1
or
x
=
4
, the denominator is zero so the rational expression is undefined. Since the numerator is non-zero at those values, the function will have vertical asymptotes at those points (and not satisfy the inequality).
When
x
=
−
3
or
x
=
2
, the numerator is zero and the denominator is non-zero. So the function will be zero and satisfy the inequality at those points.
Hence the solution is:
x
∈
[
−
3
,
−
1
)
∪
[
2
,
4
)
graph{(x^2+x-6)/(x^2-3x-4) [-10, 10, -5, 5]}
Answer:
150.72 cubic centimeter
Step-by-step explanation:
Given:-
Height of cone (h) = 9cm
Diameter of cone(d)=8cm
radius of cone(r)=
=
To calculate= Volume of cone(
)


Volume of cone(
) 
Therefore paper cone cup can hold 150.72 cubic centimeter of water.
Answer:
Part A
Eagle = 6 lbs * 60%
= 6 * 0.6
= 3.6 pounds
Bear = 105 lbs * 25%
= 105 * 0.25
= 26.25 pounds
3.6 + 26.25 = 29.85 pounds
Part B
Percent Increase = Change/Original * 100
= 10/105 * 100
= 9.52%
Step-by-step explanation:
hope this helps bye