Answer-The vector is
=
7
→
i
−
24
→
j
and the magnitude is
=
25
Explanation:
Let the point
A
=
(
−
2
,
7
)
and
B
=
(
5
,
−
17
)
Then,
−−→
A
B
=
(
5
−
(
−
2
)
−
17
−
7
)
=
(
7
−
24
)
The magnitude of
−−→
A
B
is
∣
∣
∣
∣
∣
∣
−−→
A
B
∣
∣
∣
∣
∣
∣
=
√
(
7
)
2
+
(
−
24
)
2
=
25
Step-by-step explanation:
Answer:
About 90.73 meters/min.
Step-by-step explanation:
Dimensional analysis is done by multiplying the wanted unit over the current unit in equal measure, or the other way around.
First, we will convert feet to meters, using that 1 ft = .4048 m.
32ft/6.45sec * .3048m/1ft = 32/6.45sec * .3048m = 9.7536m/6.45 sec.
Second, we convert seconds to minutes, using that 60 sec = 1 min.
9.7536m/6.45sec * 60sec/1min = 9.7536*60m/6.45min ≈ 90.7311627m/min.
Probability that a Satellite Company Y watches a recorded show
<span>= Py(recorded) </span>
<span>= 94/159 </span>
<span>= 0.59119 </span>
<span>= 59.12% </span>
<span>≈ 59% (Rounded to the nearest percent)................ANS</span>
Bruce does have enough money to buy the video game.
x/42 = 30/100
x=12.60 - This is the amount of money the video game is without tax
x/12.60 = 5/100
x=0.63 - sales tax amount
0.63+12.60=13.23 - amount of video game with tax
Answer:
9x^2-24x+16
Step-by-step explanation:
= (3x-4)(3x-4)
= 9x^2-12x-12x+16
= 9x^2-24x+16
