Answer:
The rearrangement of the terms is 
.
Step-by-step explanation:
The given expression is
Two terms are called like terms if they have same variables having same degree.
In the given expression 3 and -4, -6x and 3x, 4x² and -6x² are like terms.
Arrange the given terms according to their degree and arrange in this way so like terms are next to each other.
Therefore the rearrangement of the terms is .
18 choose 7
=C(18,7)
=18!/(7!(18-7)!)
=31824
OR
18 choices for first passenger,
17 choices for second passenger,
....
12 choices for 7th passenger,
so total = 18*17*16...12
but there are 7! ways to order the 7 passengers, so
number of groups
=18*17*16...12/7!
=31824 as well
Answer:
See below
Step-by-step explanation:
Vertical velocity will be affected by gravity in this scenario
df = do + vo t + 1/2 a t^2 do = original height = 4 ft a = -32.2 ft/s^2
<u>df = 4 + 89 t - 1/2 (32.2) t^2 df = height</u>
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On the way up and the way down, the ball may reach height of 102.2125 ft :
102.2125 = 4 + 89 t - 1/2 (32.2) t2 re-arrange to:
-16.1 t^2 + 89t - 98.2125 =0
Use Quadratic Formula to find <u>t = 1.5 and 4.0 s </u>
Answer:
x = 13
Step-by-step explanation:
The sum of the exterior angles of a 4 sided polygon is 360
139+ 6x+9x+2x = 360
Combine like terms
139+17x=360
Subtract 139 from each side
17x = 360-139
17x = 221
Divide each side by 17
17x/17 = 221/17
x = 13
Answer:
Let's start with part B. if it was originally 10 cm tall and it goes up 0.5 cm. each day, then we know that to go up one cm it needs two days. With that information we can say that 8*2 = 16. So it needs 17 days to go up 8.5 cm which would make it 18.5 cm tall.
Step-by-step explanation:
f(x) = 0.5x + 10
0.5x + 10 = 18.5
0.5x = 18.5 - 10
0.5x = 8.5
x = 8.5/0.5
x = 17 days
