Answer:
After 2 seconds
Step-by-step explanation:
First step is find an equation of velocity:
h(t)=-16t2+64t+112. The velocity function is derivated from position function, so we should do that.
v(t)= h´(t)= -16*2*t+64 ⇒ v(t)= -32t+64.
Now we know the arrow reach the maximun height when this velocity is equal to zero when t>0.
0=-32t+64 ⇒ 32t=64, split each member for 32 ⇒ 
=
t=2. That means after 2 sec. the arrow reach the maximum height
In this question, both tickets cost 2$ per ticket.
The answer to this question would be: $0
In WinOne scenario, you need to match a ticket that has to pick from A-J(10 possibilities) and 0-9 (10 possibilities). The chance to win would be: 1/10* 1/10= 1/100
The expected value must be:
E= chance to win * win amount - ticket price
E= 1//100*$200 - $2= $2-$2= 0
Gerald traveled 605 miles. In order to get this answer you subtract 109,875 from 110,480.
Answer:
A = 340 adult.
C = 398 children.
Step-by-step explanation:
Let the number of children be C
Let the number of adults be A
Translating the word problem into an algebraic equation, we have;
A + C = 738 .......equation 1
1.5C + 2C = 1306 .......equation 2
A = 738 - C .......equation 3
Substituting eqn 3 into eqn 2, we have;
1.5(738 - C) + 2C = 1306
1107 - 1.5C + 2C = 1306
1306 - 1107 = 2C - 1.5C
199 = 0.5C
C = 199/0.5
<em>C = 398 children. </em>
Now, to find the value of A.
From equation 3;
A = 738 - C
A = 738 - 398
<em>A = 340 adult. </em>
