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João Augusto's ball remained in the air for 8 seconds. This was determined by the roots of the equation -5t² + 40t = 0, which represents the ball's vertical trajectory.
The equation given in the question represents the motion of the ball thrown into the air. Specifically, it is a parabolic equation which describes the motion of an object under the influence of gravity. We can determine the duration of the ball's flight by finding the roots of this equation.
The equation -5t² + 40t = 0 can be factored into -5t(t - 8) = 0. Therefore, the roots of this equation are 0 and 8, which represent the instants of time. In this case, t = 0 is the time when João Augusto launched the ball, and t = 8 is the time when he caught it again.
So, the ball remained in the air for 8 seconds.
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18x2 + 78xy − 24y2
−18x2 − 78xy + 24y2
−18x2 + 72xy − 24y2
Answer:
The answer is A I just took the test
Step-by-step explanation:
Answer:
" Expected Payoff " ⇒ $ 1.80 ; Type in 1.80
Step-by-step explanation:
Take the probability of winning into consideration;
Solution ; " Expected Payoff " ⇒ $ 1.80
The upper extreme is an outlier.
B.
The lower extreme is an outlier.
C.
Both extremes are outliers.
D.
Neither extreme is an outlier.
yes i agree the answer c
The area of the sector with a central angle of 210° and a diameter of 4.6units is 2.6π square units.
Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is a sector with a central angle of 210° and a diameter of 4.6 units.
The area of a sector can be calculated using the formula -
A{Sector} = θ/360° x 2πr
For the sector given, we have -
θ = 210°
r = 4.6 units
Substituting the values, we get the area of the sector as -
A{Sector} = 210°/360° x 2πr
A{Sector} = 7/12 x 2πr
A{Sector} = 7πr/6
A{Sector} = 7πd/12
A{Sector} = 7π x 4.6/12
A{Sector} = 7π x 0.38
A{Sector} = 2.6π square units
Therefore, the area of the sector with a central angle of 210° and a diameter of 4.6units is 2.6π square units.
To solve more questions on areas, visit the link-
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Answer:
They played 4 games and paid $19
Step-by-step explanation:
4x + 3 = 2x + 11 (You basically have to solve for X)
4x - 2x = 11 - 3 (move like terms together)
2x = 8
x = (8/2)
x = 4
This means they had to play 4 games.
To get how much they paid, just plug 4 into any one of those given equations (They will both give the same answer).
4x + 3 ⇒ 4(4) + 3 = $19
To check if this is true,
2x + 11 ⇒ 2(4) + 11 = $19
Therefore, they paid $19
Answer:
$19 and played 4 games