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
Jada makes sparkling juice by mixing 2 cups of sparkling water with every 3 cups of apple juice. How much sparkling water does Jada need if she uses 8 coups of sparkling water.
Answer:
Step-by-step explanation:
2 cups of sparkling water with every 3 cups of apple juice = sparkling juice
Sparkling water : apple juice
2 : 3
How much sparkling water does Jada need if she uses 8 cups of apple juice.
Sparkling water : apple juice
x : 8
Equate both ratios
2 : 3 = x : 8
2/3 = x / 8
2*8 = 3*x
16 = 3x
x = 16 / 3
= 5.33 cups
Sparkling water = 5.33 cups
How much apple juice does Jada need if she uses 8 cups of sparkling water
Sparkling water : apple juice
8 : y
Equate both ratios
2 : 3 = 8 : y
2/3 = 8 / y
Cross product
2 * y = 3 * 8
2y = 24
y = 24 / 2
= 12
y = 12
Apple juice = 12 cups
NOTE: There is an error in your question, you wrote "How much sparkling water does Jada need if she uses 8 coups of sparkling water." but I solved for both sparkling water and apple juice using 8 cups since your question was not clear enough.
where the dot needa go ?
Answer:
where the green circle is where it goes
Please help!
Fill in the blank.
(4/5)×(5 1/2) = ___ / 5×12
Answer:
115.2
Step-by-step explanation:
First we make an equation and replace blank with x.
Look at photos to see solution.
The temperature in Alaska dropped –50.16°C in 5.7 hours. How much did the temperature drop per hour? 5.7°C 8.8°C –5.7°C –8.8°C
Answer:
–8.8°C
Step-by-step explanation:
The perimeter of the rectangle is 42 inches. Find the value of x.
Answer:
x=3
Step-by-step explanation:
(5x*2)+ ((x-3)2)=42
10x+2x-6=42
12x-6=42
-6 -6
12x=36
x=3
Answer:
x=3
Step-by-step explanation:
(5x*2)+ ((x-3)2)=42
10x+2x-6=42
12x-6=42
-6 -6
12x=36
x=3
can someone help me with this asap.
Answer:
fourth option
Step-by-step explanation:
Given
3x < - 9 ( divide both sides by 3 )
x < - 3
solution set is { x | x < - 3 }
help me please The total number of students who could attend a field trip is represented by the variablet. The number of students in Group A is less than the number in Group B. Group A has 6 students more than the total number of students, while Group B has 3 less than the total number of students. Which inequality represents this situation?
O ¼t + 6 < t – 3
O (¼ + 6)t < t – 3
O ¼t + 6 < 3 – t
O 6t + ¼ < t – 3
Answer:
1/4 +6<t-3
Step-by-step explanation:
the answer is tahta
Answer: I think it is the first answer
Step-by-step explanation:
Group A = < Group B
Group A has 6 more than total so 1/4t+6
Group B has 3 less than total so t-3
Anyone else done with this online school stuff?
Answer:
yeah, I'm failing english ️
Which equation describes the line that has a slope of –2 and passes through the point (1,3)?
Answer:
y = -2x + 5
Step-by-step explanation:
Slope-intercept form is writen like this; y = mx + b. Where m = slope and b = y-intercept.
We know the slope, so, find the y-intercept.
y = -2x + b
3 = -2(1) + b
3 = -2 + b
5 = b
Put everything we know/solved for into the original formula.
y = -2x + 5
Best of Luck!
÷ 6 = 7 what number makes the equation true
Answer:
42
Step-by-step explanation:
42/6=7
Answer:
42
Step-by-step explanation:
6 × 7 = 42I hope this helps!
Zombies scare everyone and a mummy is much like a zombie. In fact, their equations are parallel to each other. If the zombie equation is `y=7x+5` and the mummy equation passes through the point (3, 23), what is the mummy's equation?
Answer
y=7x+2
Step-by-step explanation:
you have your slope already so keep slope but remove 5 and turn it into b in order to solve for new equation ...
y=7x+b
sub in (3,23) in your equation
23=7(3) +b
23=21 +b
23-21=b
2=b
your new equation should be y=7x+2
Answer:
y=-1/7+23 3/7
Step-by-step explanation:
Since it's parallel you take the y=7x+5 and the 7 is turned into -1/7(to find what's PARALLEL)
Now you put it into point slope formula to get: y-3=-1/7(x-3)
Simplify the equation.
Hope this helps(^-^)
Resolver esta ecuación
Answer:
Step-by-step explanation:
f(x)/g(x) = (x+6)/[(x+6)(x-6)]
Cancel (x+6)
Answer is 1/(x-6)
136 = -8(1 + 6v)
Help
Answer:
-3
Step-by-step explanation:
136 = -8(1+6v)
136 = -8 - 48v
136 + 8 = -48v
144 = -48v
144/ -48 = v
-3 = v
Solve the equation -x-3<0 for x
Can somebody plz correct me and answer number 35-36
WILL MARK BRAINLIEST
Answer:
35)The way to solve this is by making the decimal a fraction, 6tenths equals 6/10.
Now we find a common denominator,lets use 30.
multiply the 6/10 by 3 to get 18/30
multiply 2/3 by 10 to get 20/30
2/3 is greater than 0.6
Step-by-step explanation:
Ada needs to make 140 egg tarts for the wedding. How many eggs should she buy from the store? Remember, her recipe makes 40 egg tarts by using 110 eggs.
Answer:
Ada should buy 385 eggs from the store.
Step-by-step explanation:
Given that you know that Ada can make 40 egg tarts using 110 eggs, you can use a rule of three to find the amount eggs to make 140 egg tarts:
40 egg tarts → 110 eggs
140 egg tarts → x
x=(140*110)/40=385 eggs
According to this, the answer is that Ada should buy 385 eggs from the store.
Write an equation of the line passing through point P(−8, 0) that is perpendicular to the line 3x−5y = 6.
Answer:
y = -5/3 * x - 40/3
Step-by-step explanation:
A perpendicular line has an opposite and a reciprocal of the slope.
Your equation should be:
-5y = -3x +6
Divide all parts by -5.
y = 3/5x - 6/5
Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.
Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).
In put the y and x coordinates like this:
y - 0 = -5/3(x - (-8)
Start solving the equation.
y - 0 = -5/3(x + 8)
y - 0 = -5/3 * x - 40/3
y = -5/3 * x - 40/3
This is your equation.
y = -5/3 * x - 40/3
(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)
9514 1404 393
Answer:
5x +3y = -40
Step-by-step explanation:
When the equation of a line is given in standard form, the equation of the perpendicular line can be found by swapping the coefficients of x and y, and negating one of them.
Here, that means the equation ...
3x -5y = constant
becomes
5x +3y = new constant
The value of the new constant is found by putting the given point coordinates in the expression on the left:
5x +3y = 5(-8) +3(0) = -40
The equation of the perpendicular line is ...
5x +3y = -40
solve for f. -11f = 7(1 - 2f) + 5
Answer:
F = 4
Step-by-step explanation:
−11f=7−14f+5
−11f=−14f+12
−11f+14f=12
3f=12
f=
3
12
f=4
Answer:
f=
23/14
=1.643
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-11-(7*(1-2*f)+5)=0
-11 - (7 • (1 - 2f) + 5) = 0
14f - 23 = 0
3.1 Solve : 14f-23 = 0
Add 23 to both sides of the equation :
14f = 23
Divide both sides of the equation by 14:
f = 23/14 = 1.643
Pl help me quickly!!!!!!!!!!!
Answer:
12% i thinkkkk
Step-by-step explanation:
Answer:
12 percent
Step-by-step explanation:
Amy has ridden 12 percent so far. You can just set up a proportion for this probelm
1 Set up equation 3/25 = %/100
2 Solve the equation by multiply 3 and 100 then divide by 25.
3 Finally your answer should be 12.%
pls mark brainliest because i didnt waste your time
How many pairs of angles are marked as congruent in the figures below?
pls answer real quick 20 points!!!!!!
Answer:2
Step-by-step explanation:According to the diagram,there is a single angle marking for one pair of angles V and M,a double angle marking for angles X and L.
Answer:
I got C. 2
Step-by-step explanation:
I finished the test ( :
To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?
negative StartFraction 5 Over 2 EndFraction
negative StartFraction 2 Over 5 EndFraction
StartFraction 2 Over 5 EndFraction
StartFraction 5 Over 2 EndFraction
please help
Answer:
negative StartFraction 2 Over 5 EndFraction
Step-by-step explanation:
2x +5y = 10
5y = - 2x + 10
y = - 2/5 x + 10
Equating it with y = mx + b
m = - 2/5
Answer:
-2/5
Cause i said so fools get the bread
Yesterday, Jack drove 31 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon.?
Answer:
25.2 miles per gallon
Step-by-step explanation:
the easiest way to solve would be to set this up as fractions
3 4 (x−12)=12 whats the answer tehe
Answer:
x= 12 6/17
Step-by-step explanation:
Can somebody help with my math gotta be serious about it tho!
Answer: ok
Step-by-step explanation:
Answer:
I can try to help
Step-by-step explanation:
It depends one the question and what math subject.
So ask the question and people should help.
please help! thank you
9514 1404 393
Answer:
y = (-7/3)x +3
Step-by-step explanation:
The line has a negative slope (eliminating choices B and C) that is steeper than a line with a slope of -1, The only answer choice with a negative slope less than -1 is choice D.
__
The slope is the coefficient of x. It is "rise"/"run". Here, the line goes through grid points (0, 3) and (3, -4), so drops 7 units (rise=-7) for each 3 units to the right (run=3). Then the slope is rise/run = -7/3.
The line crosses the y-axis at y=3, so the slope-intercept equation is ...
y = mx + b . . . . . . . . slope = m; y-intercept = b
y = (-7/3)x +3
someone please explain
Explain what? What would you like help with? :)
Answer:
whats ur question
Step-by-step explanation:
Find the side indicated by the variable. Round to the nearest tenth.
PLEASE HELP
Answer:
I think it would be 10.1 but I'm not 100% sure
Leila and Jo are two of the partners in a business. Leila makes $3 in profits for every $4 that Jo makes. If Jo makes $60 profit on the first item they sell, how much profit does Leila make? pls help U_O
Answer:
54
Step-by-step explanation:
hi
Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
The graph shows the relationship between the number of gallons of gas that are purchased and the total cost
Answer:
962.5 is the answer
Step-by-step explanation:
One gallon cost 2.5 dollars and according to this 1*2.5=2.5+2*5=10........
The relationship between no. of gallons and the total cost of purchasing is in a linear relationship.
What is a linear relationship ?A linear relationship between two variable is when one variable is increased or decreased by some constant this results in same amount of increase or decrease in the another variable.
According to the given data
The relationship between the number of gallons of gas that are purchased and the total cost is in linear relationship.
A linear relationship forms when increasing a variable k times results in increase of k times on the another variable and same is for decrease.
We can observe when x = 1, y = 2.5.
Now suppose k is 10
∴ x = 1k and y = 2.5k
x = 10 and y = 25. Which is already given in the diagram showing a linear relationship.
Learn more about linear relationship here :
https://brainly.com/question/10713055
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