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Esse e o site em Ingles, pergunta no em portugues, eles vao responder em portugues, boa sorte
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.
#SPJ3
Answer:
12% increase
Step-by-step explanation:
Each year the sales increase by $50,000.
430,000 + 50,000 = 480,000
480,000 + 50,000 = 530,000
To find the percent change, write a proportion using 2 of the years.
To solve for x, cross multiply the numerator with the denominator of each fraction.
480,000(100) = 430,000(x)
48,000,000 = 430,000x
111.62 = x
Rounded this is 112% or 12% above 100%.
Help so lost and confused with this. Don't know where to start
The expression (3x)^12 / (3x)^4 simplifies to (3x)^8 according to the rules of exponents.
In mathematics, when you divide two expressions with the same base and both are raised to powers, you just subtract the exponents. The base here is (3x) and the exponents are 12 and 4, respectively.
So, from the rule of exponents, (3x)^12 / (3x)^4 simplifies to (3x)^(12-4) = (3x)^8. This is your final answer.
#SPJ2
-19/40
-3/8
19/40
Answer: 19/40
Step-by-step explanation: first we need the values in the numerator, so we can multiply in X where you multiply the denominators with numerator of the other value in the equation finally we resolve simple equation between both numerator, so the numerator equations will be.
(-10) * (-3) = 30
(-8) * ( -1) = 8
then we get this values in the numerator
30 + 8 = 38
in the denominator we only need to multiply both values.
(-8) * (-10) = 80
after we divide each result between 2
numerator 38/2 = 19
denominator 80/2 = 40
after this, we can place the numerator and the denominator into the equation and we get the following result
19/40
Answer:
Step-by-step explanation:
Ratios depend on the numbers that are being compared. When you are describing a part of a whole, a fraction is appropriate. When you are comparing two numbers, a ratio is appropriate.
Basically you can write ratio as fraction
Ex-4:2, 4/2
See what I mean?