Answer:
3.75 cups
Step-by-step explanation:
30/8=3.75
-2/3 <em>b</em> + 4 = 0
Add -4 to both sides to eliminate the 4 on the left:
-2/3 <em>b</em> + 4 - 4 = - 4
-2/3 <em>b</em> = -4
Multiply both sides by -3/2 to eliminate the -2/3 on the left:
-3/2 • (-2/3 <em>b</em>) = -3/2 • 4
<em>b</em> = -12/2
Simplify the solution:
<em>b</em> = -6
Answer:
a) t = 4 secs
b) t = 3 secs
Step-by-step explanation:
h = 64 ft
Initial velocity = 48 ft/s
S = 64 + 48t - 16t^2
a) Set S = 0 and solve for t
0 = 64 + 48t - 16t^2
Divide through by 16
0 = 4 + 3t - t^2
t^2 - 3t - 4 = 0
t^2 - 4t + t - 4 = 0
t(t - 4) + 1(t - 4) = 0
(t + 1) (t - 4) = 0
t + 1 = 0 or t - 4 = 0
t = -1 or t = 4
t = {-1,4}
t = 4 seconds
b) Set S = 64 and solve for t
64 = 64 + 48t - 16t^2
64 - 64 = 48t - 16t^2
0 = 48t - 16t^2
Divide through by 16
0 = 3t - t^2
t^2 - 3t = 0
t(t - 3) = 0
t = 0 or t-3 = 0
t = 0 or t = 3
t = {0,3}
t = 3 secs
Boys is 1 and girls is 1.5 so it’ll be 1.5:1
It's hard to visually inspect a description of the plot. Let's calculate.
A = ( 1(65) + 1(67) + 1(77) + 1(79) + 1(88) + 1(90) + 2(92)+1(100)+2(102)+1(109)+1(110)+2(112)+1(122)+1(136)+1(139)) / 18 = 99.7
B = ( 2(50)+1(55)+1(61)+2(70)+2(80)+2(89)+1(95)+3(100)+1(110)+1(114))/ 16=82.1
Group A averaged around 17 or 18 seconds longer.
Answer: Group A
