9514 1404 393
Answer:
a. 1.48 seconds
Step-by-step explanation:
You want to find the larger value of t such that h(t) = 10.
-16t^2 +25t +8 = 10
16t^2 -25t +2 = 0 . . . . subtract the left side to get standard form
Using the quadratic formula, we find the values of t to be ...
t = (-(-25) ± √((-25)^2 -4(16)(2)))/(2(16)) = (25±√497)/32
t ≈ 0.08 or 1.48
The ball goes in the hoop about 1.48 seconds after it is thrown.
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<em>Additional comment</em>
The quadratic formula tells us the solution to ...
ax² +bx +c = 0
is given by ...
Here, we have a=16, b=-25, c=2. Of course, our variable is t, not x, but the relation is the same.
Answer:
A. No
Step-by-step explanation:
y = 2x + 4
(5) = 2(1) + 4
5 = 2 + 4
5 = 6 (false statement)
We can solve this problem in different ways:
0. Statement: As angle 1 and 3 are vertical angles, and angle 1, 5, 4 form a straigth angle, so angle 2 and (algle 4 + angle 5) are vertcal angles too.
Reason:
Alright so lets break this down!
What we are looking at is:
y = 3x - 4
the question is
<em>what is the value of x when y = 5?</em>
This means all we have to do is plug in 5 for y and solve for x
y = 5
x = ?
therefore,
5 = 3x - 4
Now some algebra,
5 + 4 = 3x
9 = 3x
9/3 = x
<em>3 = x</em>
Now our concluding statement:
The value of x is 3 when y is equal to 5
Sometimes all you have to do is turn words into numbers and numbers into words!
Good luck! I hope this was helpful.
Answer:
I think the answer should be floor 4 but since floor 5 is the closest I would go for that.
Step-by-step explanation:
there are 5 members initially in the group if every member has to bring 2 members and those 2 members have to also bring in 2 other members that mean 4 people that are brought in by one person and if there are 5 people in a group that means 20 people are brought in one floor if 20 * 4 is 80 plus the initial 5 members so they only need 4 floors to have at least 80 members.
