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
x+2=18
3(x+2)=18
How can we get Equation B from Equation A?
Answer:
x+2 = 18
x = 18-2
x=16
3(x+2) =18
3x + 6 =18
3x = 18 -6
3x = 12
x = 12/3 = 4
Step-by-step explanation:
mr cadwell wants to purchase a motorcycle. he has financing options a and b to chose from, as shown below.
Option A-
Down Payment: $1,000
Monthly payment for 3 years: $85
Option B-
Down payment: $1,200
Monthly Payment for 3 years: $85
The purchase of the motorcycle is $3,500, including tax. Based on the info provided in the table, which statement is true?
Option B is better
Option A is better
Answer:
Option A is better.
Step-by-step explanation:
We will observe both plans one by one to determine which one is better i.e. which one will has less interest to pay.
So,
Option A:
Down Payment: $1,000
Monthly payment for 3 years: $85
The total amount in installments will be:
[tex]=Amount\ per\ month * months\\= 85*36\\=3060[/tex]
The total price of bike will be:
[tex]Total\ price = Downpayment +Installments\\= 1000+3060\\= 4060\\Interest = Total\ price - Purchase \\= 4060-3500\\=560[/tex]
Option B:
Down Payment: $1,200
Monthly payment for 3 years: $85
The total amount in installments will be:
[tex]=Amount\ per\ month * months\\= 85*36\\=3060[/tex]
The total price of bike will be:
[tex]Total\ price = Downpayment +Installments\\= 1200+3060\\= 4260\\Interest = Total\ price - Purchase \\= 4260-3500\\=760[/tex]
We can see that interest in Option A is less than interest in Option B that means Mr. Cardwell will have to pay less amount in Option A.
Hence,
Option A is better.
What is the measure of angle x?
A) 65
B) 25
C) 115
D) 125
Answer: 65°
Step-by-step explanation: We are assuming that these lines are ║.
If two parallel lines are cut by a transversal,
then alternate interior angles are congruent.
Since x and 65 lie on alternate side of the transversal and
on the interior of the two lines, we know that x = 65.
What is the y-intercept and x-intercept of 2x + y = 10x - 1
Answer:
Wait I only see the part where it says “what is the y-intercept and x-intercept of” but I don’t see an equation :/
Step-by-step explanation:
Write an informal proof to show triangles ABC and DEF are similar.
A.) 12
B.) 10
C.) 6
D.) 8
Answer:
a
Step-by-step explanation:
Answer please
please please please
Answer:
3.25
Step-by-step explanation
Answer: 3.25
Step-by-step explanation:
a person who weighs 120 pounds on earth weighs 20 pounds on the moon. How much does a 93-Ib. person weigh in the moon
Answer:
15.5 pounds on the moon
Step-by-step explanation:
hope this helps
need brainlyest plz
THANKS!!
Answer:
15.5 lb
20 is a sixth of 120, and 15.5 is a sixth of 93
Is the equation y +1 = 6(x + 5) in point-slope form? Justify your answer.
(select) the equation is equivalent to
Answer:
yes its is slope
Step-by-step explanation:
please help!!! I don't understand how this works.
Please explain how you worked it out...
Thanks!!
Answer:
Step-by-step explanation:
64,000 x 6.2% divided by groups of 1.45 a
Which hourly interval had the least rate of change?
Answer:
hour 3 to hour 4
Step-by-step explanation:
that is where the slope is the least steep
Find the slope and y-intercept of the line in each graph.
PLEASE HELP ASAP
Answer:
slope m = -2, y-intercept b = 1
Step-by-step explanation:
The slope is the change in y over the change in x.
Equation for slope: y2-y1/x2-x1=m
Since they already gave us the two points we just have to decide which one is our y2,y1 and out x2,x1 (which one you chose does not matter). And plug the numbers into the equation and get: -3-1/2-0=m, in this case, m=-4/2 and simplify it into -2. Now we have our slope.
The y-intercept is where the line crosses over the y-axis, and in our case, it is given to us in the (0,1) so our slope is 1.
Hope this helps you
Half of the difference between -5 and three times a number is -13.
translate into an algebraic expression.
Certain species of fish costs $4.49 each. You spend at most $35. How many of this type of fish can you buy for your aquarium?
Also how do you give the brainlyest answer to someone?
Answer:
7 fish
Step-by-step explanation:
1. 4.49x ≤ 35
2. Divide both sides by 4.49 so it cancels out the multiplication. x ≤ 7.79510022272
3. You can't split fish, so you can buy 7 fish.
Not sure how to give Brainliest, though.
Answer:
Do 4.49 times 8 it'll get your answer
Step-by-step explantion
NO it's 8 he can buy 8 Of them fishes
Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four years.
Answer:
6930 for Maya and James is 6912
Step-by-step explanation
1600x8%=128+1600=1728x4=6912 1650x5%=82.5 82.5+1650=1732.50 1732.5x4=6930
6930-6912=18
Maya has $18 more dollars then James
Answer:
Step-by-step explanation:
each year james gets 3% more interest than maya. over 4 years james gets 34% interest and maya gets 20%. over 4 years james gets 16% more than maya.
please help me.. if you could explain too that would be great.
Answer:
11 is A
13 is 22
15 is 30
I THINK
HURRY PLEASE HELP Missy borrowed $5900 for seven years at an annual rate of 8%. What is the TOTAL AMOUNT that Missy will need to pay after 7 years? (principal AND interest)
Answer: $5933.04
Step-by-step explanation:
Principal = $5900
Rate = 8%
Time = 7 years
Simple interest = PRT/100
= (5900 × 8% × 7)/100
= (5900 × 0.08 × 7) / 100
= 3304/100
= $33.04
Total amount = Principal + Interest
= $5900 + $33.04
= $5933.04
What is the maximum number of intersection points a hyperbola and a parabola could have?
4 intersection points
The cards in Kaylens' hand had a value of 2.75, but then he added five (-1.5)
cards to his hand. What is the new value of the cards in his hand?
Answer:
1.25
Step-by-step explanation:
adding a positive to a negative it would go down to 1.25
Miranda goes shopping for some new cowgirl boots to wear for her concert. She finds some that are $225.60, and they are on sale for 80% of the original cost. How much will she pay for the boots?
Answer:
$180.48
Step-by-step explanation:
225.60 * .8 = 180.48
Answer:
$45.12
Step-by-step explanation:
100 - 80 = 20
225.60 x .20 = $45.12
help please there is actually a question this time
Answer:
D...
Step-by-step explanation:
Thats on mine and got it right
A taxi company charges $3 per ride plus $1.50 for each mile traveled. Andrea wants to spend no more than $24 on a taxi ride. How many miles can Andrea travel? Select all that apply. PLEASE HELP!!
A. 18
B. 16
C. 14
D. 12
E. 10
Answer:
losien yo hablo español espero que alguien mas te ayude
Answer:
Your answer would be C , D, E
Step-by-step explanation
Have a Great day!
Does anyone know the answers to these two? Pls pls tell me if you do, with an explanation if you can, I really need to pass these two question :)
Answer:
The first one is none of the answers are correct and the second one is -1,-7
Step-by-step explanation:
Just plug in the x and y values
Start with a male and a female rabbit. After a month, they mature and produce a litter with another male and female rabbit. A month later, those rabbits reproduce and out comes — you guessed it — another male and female, who also can mate after a month. After a year, how many rabbits would you have?
Answer:
24 thereabouts
Step-by-step explanation:
Well every two months there are two new rabbits so I multiplied two and twelve. This got me twenty-four. I hope this helps! :) I don't know if this is right or not I attempted this in my head.
Answer:
The answer is D
Step-by-step explanation:
Took the test
what is 2m×2 to the 7 power
Answer:
256m
Step-by-step explanation:
not 100% sure but i hope this helps :)
can you please help meee ,due at 11!
What is the total number of servings the modified recipe will make?
9514 1404 393
Answer:
B. 4
Step-by-step explanation:
Equating exponents, we have ...
2x +7 = 15
2x = 8 . . . . . subtract 7
x = 4 . . . . . . divide by 2
The equation is true when the value of x is 4.
hope this helps enjoy.
Use the figure to find the measure of angle 2.
Answer:
∠ 2 = 70°
Step-by-step explanation:
110° and ∠ 1 are corresponding angles and congruent, thus
∠ 1 = 110°
∠ 1 and ∠ 2 are adjacent angles and are supplementary, thus
∠ 2 = 180° - ∠ 1 = 180° - 110° = 70°
Someone please help me I will give you brainlest:)
Answer:
I think the answer is A.
Can you make me brainlest plz? :)
what is 8.756×8.8 ?
Answer:
77.0528
Step-by-step explanation:
hope this helps
Answer:
77.0528
but if needs to be simplified to the tenth it would be 77.1
Step-by-step explanation:
just multiply both numbers together and you'll get the answer.
A furniture store had a chair that costs $42. The owner put it on sale for 20% off. How much is the chair now?
Answer:
$33.60
Step-by-step explanation:
Answer:
33.60
Step-by-step explanation:
20% of 42 is 8.40. Subtract that from 42 to get your answer.