La altura de una pelota que es lanzada directamente hacia arriba con una velocidad de 40 pies/s esta dada por y=40t -16t2 ¿Cuál es la altura máxima alcanzada por la pelota?
Explicación paso a paso:
Dada la altura de una pelota que se lanza directamente hacia arriba con una velocidad de 40 pies / modelada por la ecuación y = 40t -16t ^ 2
La pelota alcanzó su altura máxima cuando la velocidad es cero.
La velocidad se expresa como dy / dt
dy / dt = 40 - 2 (16) t
dy / dt = 40 - 32t
A altura máxima, dy / dt = 0
0 = 40-32t
-40 = -32t
t = 40/32
t = 1,25 s
Para obtener la altura máxima alcanzada, sustituirá t = 1.25 en la función modelada de la altura como se muestra;
y = 40t - 16t ^ 2
y = 40 (1,25) - 16 (1,25) ^ 2
y = 50 - 25
y = 25
Por tanto, la altura máxima que alcanza la pelota es de 25 m
Queremos encontrar la altura máxima alcanzada por una pelota que es lanzada hacia arriba. Veremos que la altura máxima es 25 pies.
Encontrando el máximo.
Sabemos que la ecuación de la altura es:
y = 40*t - 16*t^2
Podemos ver que es una parabola con un coeficiente lider (el que multiplica la variable al cuadrado) negativo. Esto sinifica que el maximo esta en el vertice.
Para una parabola general:
a*x^2 + b*x + c
El vertice está en:
x = -b/(2a)
Así que en nuestro caso, el vertice de y = -16*t^2 + 40*t está en:
t = -40/(2*(-16)) = 1.25
Para encontrar la altura maxima evaluamos la ecuación en este valor de t:
y = 40*1.25 - 16*(1.25)^2 = 25
Es decir, la altura máxima es 25 pies.
Sí quieres aprender más sobre parabolas, puedes leer:
https://brainly.com/question/12272972
6 2/5 x 3 ÷ 2 2/4 =
4 4/5 x 5 7/5 ÷ 6 8/9=
Answer:
Answers are below
Step-by-step explanation:
Q1. 64x^3/25
Q2. 3456x/775
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Answer: I think it is 8
Step-by-step explanation: Since the tree in the garden is a 24 foot shadow, you divide by the 6 foot shadow and get 4
then 4 * 4 = 16
16 / 2 = 8
So i think its 8
Consider the following equations: y = 2 x minus 3. y = 2 x. y = 2 x + 2. y = 2 x + 5. Discuss the similarities and differences of the graphs of these equations. (Use a graphing calculator if you have one.) a. Same slopes; same y-intercepts b. Same slopes; different y-intercepts c. Different slopes; different y-intercepts d. Different slopes; same y-intercepts Please select the best answer from the choices provided A B C D
Answer:
its c
Step-by-step explanation:
i just did it in edge hope this helps
Answer:
its c
Step-by-step explanation:
i just did it and got it right
Ahmed paid $18 for a shirt which has a marked price of $25. What is the percentage discount?
4. A math tutor makes $12 an hour for the first 40 hours she works during a week and $24 an hour for each hour over 40 hours. As an exercise for her students, she had them graph her total weekly pay in dollars as it relates to her number of hours worked. Now you will do the same. (6 points: Part I - 1 point; Part II - 2 points; Part III - 1 point; Part IV - 2 points)
Part I: What equation models the tutor's total weekly pay y in dollars as it relates to the number of hours x that she has worked if the tutor has worked 40 hours or fewer?
Part II: What equation models the tutor's total weekly pay y in dollars as it relates to the number of hours x that she has worked if the tutor has worked more than 40 hours?
Part III: Combine the slope-intercept equations found in parts I and II into one piecewise equation.
Part IV: Graph the tutor's total weekly pay in dollars as it relates to her number of hours worked by using the piecewise equation from part III and the coordinate grid below.
Answer:
See below
Step-by-step explanation:
Part IWhen x ≤ 40, the equation is
y = 12xPart IIWhen x > 40
y = 12*40 + 24(x - 40) ⇒ y = 24x - 960 + 480 ⇒y = 24x - 480Part III[tex]y = \left \{ {12x, if x < or = 40 \atop {24x - 480, if x>40}} \right. \\[/tex]
Part IVThe graph is attached
-2q– 32 = 0
q=
and
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ANSWER NEEDED ???????
For which system of equations would you need to estimate the solution?
Answer:the second graph or b
Step-by-step explanation:
i got it right on edunity2020
Answer:
its b.
Step-by-step explanation:
just did it
Help me pleaseeeeee!!!!
Answer:
B
Step-by-step explanation:
It's a guess
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Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define
2.4x + 4.6x = 28
Step 2: Solve for x
Combine like terms (x): 7x = 28Divide 7 on both sides: x = 4Step 3: Check
Plug in x to verify it's a solution.
Substitute in x: 2.4(4) + 4.6(4) = 28Multiply: 9.6+ 18.4= 28Add: 28 = 28Here we see that 28 does indeed equal 28.
∴ x = 4 is a solution of the equation.
Y=-6x+10. Y=-6x+3
Solve the system of equations
Given:
The system of equations is
[tex]y=-6x+10[/tex]
[tex]y=-6x+3[/tex]
To find:
The solution of given system of equations.
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
For [tex]y=-6x+10[/tex], slope is -6 and y-intercept is 10.
For [tex]y=-6x+3[/tex], slope is -6 and y-intercept is 3.
Slopes of both lines are but the y-intercepts are difference. So, the two lines are parallel.
Therefore, the given system of equation has no solution.
Hank sells toy cars on a web site. The web site fee is $30. Hank sells each toy car for $4.
What inequality does Hank use to determine how many toy cars, c, he must sell to make a
profit of at least $50?
A
B
34c s 50
340 250
40 + 30 S 50
40 - 30 250
С
D
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Step-by-step explanation:
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Use the Pythagorean theorem:
[tex]leg^2+leg^2=hypotenuse^2[/tex]
We have:
[tex]leg=x\\leg=15\\hypotenuse=37[/tex]
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Answer:
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Step-by-step explanation:
First we know that for each number of days rented the cost increase by 5 so we get an - (?) + 5n.
We also know the first number is 12 for 1 day, so for 0 days, or the starter cost, is 7. We get this by subtracting 5 from 12.
Hence the answer an = 7 + 5n
Answer:
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(x+2)
Step-by-step explanation:
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Step-by-step
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Step-by-step explanation:
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