It is given in the question that the stands of the soccer field has the capacity to hold 40 people. Also it is given that the stands of the soccer field is 3/4 filled.
Then,
The number of people in the stands = 40 * (3/4)
= 30
So 30 people are in the stands of the soccer field.
Now among the people present in the stands of the soccer field, 5/6 are home fans and the rest are fans of the away team.
Then,
Number of home team fans = 30 * (5/6)
= 25
So there are 25 home team fans present in the stand of the soccer field.
<span>the particle's initial position is at t=0, x = 0 - 0 + 4 = 4m
velocity is rate of change of displacement = dx/dt = d(t^3 - 9t^2 +4)/dt
= 3t^2 - 18t
acceleration is rate of change of velocity = d(3t^2 -18t)/dt
= 6t - 18
</span><span>the particle is stationary when velocity = 0, so 3t^2 - 18t =0
</span>3t*(t - 6) = 0
t = 0 or t = 6s
acceleration = 6t - 18 = 0
t = 3s
at t = 3s, velocity = 3(3^2) -18*3 = -27m/s
displacement = 3^3 - 9*3^2 +4 = -50m
Answer:
$30
Step-by-step explanation:
Harry starts out with $62.
The 2 jerseys cost 2($4) = $8.
The ball cost $19.
The shorts cost $5.
The amount Harry has left is:
$62 - ($8 + $19 + $5) = $62 - ($32) = $30
Answer:
the area is 32
Step-by-step explanation: 2 x 2 x 2 x 2 x 2= 32
Answer:
1) 2x^2 -8x
2) 18x^2 -45x
Step-by-step explanation:
These problems make use of the distributive property. It tells you how you can use or eliminate parentheses as you may need.
a(b + c) = ab + ac . . . . . . . the outside factor multiplies each inside term
Of course, the usual rules of multiplication of positive and negative numbers apply. If the number of minus signs in a product is odd, the result is negative; otherwise the result is positive.
1. 2x(x -4) = (2x)(x) + (2x)(-4) = 2x^2 -8x
2. -9x(5 -2x) = (-9x)(5) + (-9x)(-2x) = -45x +18x^2 = 18x^2 -45x
3. She used the algebra tiles correctly.
- The headers correctly represent -2x-2 and 2x-1
- Each product has the correct sign (-- = +, -+ or +- = -)
- Each product has the correct power of x
