A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 48t, where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent? t = 3; It takes the ball 3 seconds to reach the maximum height and 3 seconds to fall back to the ground. T = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground. T = 1. 5; It takes the ball 1. 5 seconds to reach the maximum height and 3 seconds to fall back to the ground. T = 1. 5; It takes the ball 1. 5 seconds to reach the maximum height and 1. 5 seconds to fall back to the ground.

Answers

Answer 1

The axis of symmetry of the function h(t) = -16t^2 + 48t is t = 3. This represents the time at which the ball reaches its maximum height. The axis of symmetry is t = 3, representing the time at which the ball reaches its maximum height.

The symmetry axis is the line of symmetry for the parabolic trajectory of the ball. In this case, the ball reaches its peak height after 3 seconds and then begins to descend. The time it takes for the ball to reach the maximum height is equal to the time it takes for the ball to fall back to the ground.

The axis of symmetry can be determined by finding the value of t that gives the maximum height of the ball. In this equation, the coefficient of t^2 is negative, indicating that the parabola opens downward. The vertex of the parabola represents the maximum height of the ball. The formula for the axis of symmetry is given by t = -b/2a, where a and b are coefficients of the quadratic equation. In this case, a = -16 and b = 48, so t = -48/(2*(-16)) = 3. Therefore, the axis of symmetry is t = 3, representing the time at which the ball reaches its maximum height.

Learn more about parabolic here:

https://brainly.com/question/30345364

#SPJ11


Related Questions

Sean answered 18 of 20 quiz questions correctly. What percent of the quiz questions did sean awnser correctly?

A. 11%
B. 18%
C. 90%
D. 98%​

Answers

Answer:

90%

Step-by-step explanation:

18/20 × 100 = 90%

I hope this helps!

Answer:

Sean answered 90% of the questions in the quiz correctly

oh whoopsie somebody answered already but oh well- 乁[ᓀ˵▾˵ᓂ]ㄏ

Un reloj marca las 4:55 horas . Que valor tiene el ángulo que forman las manecillas? Escribe tu resultado considerando el ángulo positivo y el ángulo negativo.​

Answers

Answer: what does this say please help

Step-by-step explanation:

please help me out please ​

Answers

Answer:

Distance formula = √(x2 - x1)^2 + (y2 - y1)^2

Step-by-step explanation:

(-2, 6) to (3, -2)

3 + 2 = 5^2 = 25 + 64 = 89.

√89

Factor the GCF: 6x^2 + 3x + 9 *

Answers

Answer:

3(2x² + x + 3)

Step-by-step explanation:

zzzzzzzzzzzzzzz

9. In a home economics class, 6 girls worked together and sewed a dress in 4 days. How long
would it have taken for 4 girls to make the same dress?​

Answers

Answer:

6 days.

Step-by-step explanation:

Given that in a home economics class, 6 girls worked together and sewed a dress in 4 days, to determine how long it would have taken for 4 girls to make the same dress, the following calculation must be performed:

X / 6 = 4

X = 4 x 6

X = 24

24/4 = 6

Thus, the 4 girls will take 6 days to make the same dress that 6 girls made in 4 days.

In Fluorescent higher secondary school there are 53 students in class 8. If number of boys is 3 morethan that of number of girls find.
a. Equation representing the number os students.
b. The number of Boys and Girls.​

Answers

Answer:

a. 3g + g = 53

b. 40 boys and 13 girls

Step-by-step Explanation:

(3g = number of boys)

(g = number of girls)

3g + g =53

4g = 53

g = 13.2

53 - 13.2 = 39.8 (boys)

we round to the nearest tenth on both

girls 13.2---13

boys 39.8---40

Which of the linear solution has no solution?

Answers

Answer:

c

Step-by-step explanation:

it will eventually cancel

The Answer Is C! :))

Help please
3 |X-4| +1 = 19

Answers

The answer would be X = 10

Help me out

Length = m

Answers

[tex]perimeter = a + b + c[/tex]

[tex]perimeter = 4 + 3 + c[/tex]

//

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {4}^{2} + {3}^{2} = {25}^{2} [/tex]

[tex] \sqrt{25} = 5[/tex]

[tex]c = 5 \: meters[/tex]

//

[tex]perimeter = 4 + 3 + 5[/tex]

[tex]perimeter = 12 \: meters[/tex]

//

[tex]the \: length \: of \: the \: fencing \: is\: 12 \: meters[/tex]

COMBINATION
Solve each problem using the appropriate permutation formula.
1.In how many ways can 3 boys and 6 girls sit in a row of 4 chairs?
2.In how many ways can 8 cars line up a car?
3.In how many ways can a group of 8 friends sit around a circular table?
plss help​

Answers

Answer:

1) 3024 ways

2) 40320 ways

3) 5040 ways

Step-by-step explanation:

1) there are 3 boys and 6 girls. Thus, total number = 9 people.

There are four rows of chairs.

Thus, number of ways of being sitted is;

9P4 = 9!/(9 - 4)! = 3024 ways

2) number of ways = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320 ways

3) since circular arrangement, then number of ways is; (n - 1)!

Thus,answer is; (8 - 1)! = 5040 ways

Please help me to solve the 7th part !​

Answers

Answer:

i don't know

Step-by-step explanation:

sorry sorry sorry berry much

Can you guys help me!!!

Answers

Answer:

I guess its the 3rd one not sure

This graph shows how the total distance Jack has walked depends on the number of trips he has made to school.

ASAP BEFORE 11:59

Answers

2 kilometers per trip

Answer:

whats the question

Step-by-step explanation:

thats the answer

numero de horas que duerme cual es la variable cualitativa?​

Answers

Answer:

El número de horas que una persona duerme todos los días, durante un mes, es una variable continua ordinal

Step-by-step explanation:

what is the standard form of (-2/3)x - 4

( slope intercept )

Answers

Answer:

m=0,b for -2/3 x-4

Step-by-step explanation:

..........

plzz write with formula and explanation plzzzzzzzz

Answers

Given:

[tex]-\dfrac{33}{16}[/tex] should be divided by a number to get [tex]-\dfrac{11}{4}[/tex].

To find:

The unknown number.

Solution:

Let [tex]-\dfrac{33}{16}[/tex] should be divided by x to get [tex]-\dfrac{11}{4}[/tex].

[tex]\dfrac{-\dfrac{33}{16}}{x}=-\dfrac{11}{4}[/tex]

[tex]-\dfrac{33}{16}=-\dfrac{11}{4}x[/tex]

Multiply both sides by 16.

[tex]-33=-44x[/tex]

Divide both sides by -44.

[tex]\dfrac{-33}{-44}=x[/tex]

[tex]\dfrac{3}{4}=x[/tex]

Therefore, the unknown number is [tex]\dfrac{3}{4}[/tex].

Which inequality has a closed circle when it is graphed on a number line?
x greater-than 0.4
x greater-than negative 3
x less-than 4
x greater-than-or-equal-to 3

Answers

Answer:

Less than 4 I guess??

This part I have scribbled so I can answer

no x Ehud ihehiexbhhenxkjwbhxnwbxhuebxbuebxh

Answer:

D

Step-by-step explanation:

A parking lot has the shape of a parallelogram. The length of two adjacent sides are 70 meters and 100 meters. The angle between them is 70°. What is the area of the parking lot?

Answers

the answer is 6577.85 m^2

The area of the parking lot is 4606 square meter.

What is parallelogram?

It is a special type of quadrilateral that has both the pairs of opposite sides parallel and equal.

What is the area of parallelogram?

The area of a parallelogram is the product of its base and height.

We have,

length of two adjacent sides are 70meters and 100meters.

And base of parallelogram is 70m.      (length of parallelogram is its base)

Angle between the adjacent sides is 70 degrees.

Let, side AB and BC be the two adjacent sides whose lengths are 70m and 100m.And h be the height of the parallelogram.

For the height of the parallelogram

In ΔADE, we have

[tex]sin70=\frac{DE}{AD}[/tex]           [tex](sinx=\frac{perpendicular}{hypotenuse})[/tex]

⇒ [tex]0.9397=\frac{h}{70}[/tex]

⇒ [tex]0.9397[/tex]×70[tex]=h[/tex]

⇒ h=65.8m

Formula to find the area of parallelogram:

Area= base× height

so, the area of parking lot=base × height

substitute the value of base and height of the parallelogram in the above formula.

Therefore,

[tex]Area=65.8[/tex]×[tex]70[/tex]

[tex]Area=4606m^{2}[/tex]

Hence, the area of the parking lot is 4606 square meter.

Learn more about area of parallelogram here:

https://brainly.com/question/21576252

#Tag #SPJ2

sin^2A+cos^2A=? .find the value. ​

Answers

Answer:

1

Step-by-step explanation:

it is an identity. hope it helps

The population P for a small island was 6 380 correct to the nearest 10. Complete the statement about the limits of P

Answers

Answer:

sorry I dont know

Step-by-step explanation:

I do not know

Hi i need some help on this it will really help

Answers

Answer:

He can afford 5 large cheese pizzas.

Step-by-step explanation:

$40 ÷ $7.50 = 5.333333

You cannot buy 1/3 of a pizza, so you round the number to a whole number.

5.333333 ----> 5

5 large cheese pizzas

Answer:

Diego can afford 5 large cheese pizzas.

Step-by-step explanation:

$40 ÷ $7.50 = 5.3333

He cannot buy part of a pizza, so you round it to 5.

10/27=a/135
what is the answer for this equation?

Answers

Answer:

So we have this equation:

10/27 =  a/135

What we can do is multiply  both sides by 27 and 135:

10*135 = a * 27

1350 = 27a

a = 1350/27. = 50.

Please Help!! I will give Brainliest to the correct answer!!

Evaluate 12.3s +11.9t when s= 3 and t = 4



Thank you so much

Answers

Answer:

84.5

Step-by-step explanation:

12.3(3)+11.9(4)=84.5

Answer:

87.5

Step-by-step explanation:

12.3 x 3= 39.9=s

11.9 x 4= 47.6=t

47.6 + 39.9= 87.5

what is bigger 6/5 or 4/5?

Answers

Answer:

6/5 is bigger

Step-by-step explanation:

6/5 simplifies to 1 and 1/5 which is greater than just 4/5

Answer:

6/5, the numerator is the number that determins the amount that is an improper fraction actually, the proper way of writing it is 1 and 1/5 but both are acceptable. most teachers prefer it this was though.

Step-by-step explanation:

hope this helps

HELP AND WILL GIVE BRAINLIEST!!! Solve for x

Answers

Triangles add to 180.

180 - 57 - 43 = 80.

Vertical angles are always equal, so they are both 80 degrees in this case.

Now we know the top triangle has 80 + 2x = 180

2x = 100

Therefore x is 50 degrees.

Answer:

let the opposite angle of 43=y

57°+43°+y=180°[by sum of all angle is 180°]

100+y=180°

y=180°-100

y=80°

opposite angle of x is equal to the 80°

so the equation will be like this

x+x+80°=180°

2x+80°=180°

2x=180°-80°

2x=100

x=100/2

x=50°

so the value of x is 50°

please help me with this

Answers

Answer: A. 2[tex]\sqrt[3]{6}[/tex]

Step-by-step explanation:

In triangle KLM, the measure of angle M is 90 degrees, the measure of angle K is 75 degrees, and LM is equal to 6.3 feet. Find the length of KL to the nearest tenth of a foot.

Answers

Answer:

6.5feet

Step-by-step explanation:

Using the SOH CAH TOA identity

<K = 75 degrees

opposite = LM = 6.3 feet

Hypotenuse = KL

sin theta = opp/hyp

sin 75 = 6.3/x

x = 6.3/sin75

x = 6.3/0.9659

x = 6.5feet

Hence the length of KL to the nearest tenth of a foot is 6.5feet

Julie's brother says that instead of paying her the $40 he owes her, he will give her
$2 today and double the amount she has each day for 6 days. Should Julie accept
her brother's offer? Why or why not?

Answers

Answer:

Yes

2*2*2*2*2*2=64

so that is a much better deal than the original 40$

Step-by-step explanation:

Find the value of x.
I will give brainliest if you get it right!, please double check your work! Thannks!

Answers

Answer:

36 degrees

Step-by-step explanation:

There's 180 degrees in a triangle.

Since they're supplementary angles, we do 180-142=38.

We now know that 106+38+x=180.

Solve for x: x=36

Evaluate (49/64) ^1/2 write it as a fraction

Answers

Answer:

7/8

Step-by-step explanation:

Get rid of the (   )

put the 49/64 into a √  sq root and it cancels out the 1/2

49/64       whats the square root of 49? 7  Ss root of 64 is 8

7/8

Other Questions
: Consider the following statement made by a student about each of the four motions in problem The magnitude of the force exerted by the Mock on an individual string is the same as the magnitude of the force exerted by that string on the block. They are a third law force pair. So I don't understand why the block doesn't move at constant speed if that is true." The student has correctly identified a Newton's third law (act ion-react ion) force pair. Explain why this does not mean that the block must move at constant speed. Use the concepts of work and energy to solve the following: You are in first place in Mario Kart at the moment. Your 5.0 kg Mario Kart is moving at 5.5 m/s when you see an oil spill 10 m ahead. If your maximum braking force is 7.0 N, will you stop before you hit the oil spill? What is your braking distance? 1) Name a product brand that you consider yourself loyal to or that you were once very loyal to. 2) Describe how the promotion of the product keeps or kept you loyal. 3) Describe something the company could do or did do that would cause you to stop buying from them, and explain why. What are the domain and range of the function f(x) =-x+3-2 I. need help please DECIDING WHETHER A FUNCTION IS INCREASING, DECREASING, OR CONSTANTSome recent studies suggest that a teenager sends an average of 60 texts per day.[2] For each of the following scenarios, find the linear function that describes the relationship between the input value and the output value. Then, determine whether the graph of the function is increasing, decreasing, or constant.The total number of texts a teen sends is considered a function of time in days. The input is the number of days, and output is the total number of texts sent.A teen has a limit of 500 texts per month in his or her data plan. The input is the number of days, and output is the total number of texts remaining for the month.A teen has an unlimited number of texts in his or her data plan for a cost of $50 per month. The input is the number of days, and output is the total cost of texting each month. This diagram shows the pattern ofO settlement along the transcontinentalrailroad.environmental damage along thetranscontinental railroad.land grants along the transcontinentalrailroad.DONE How many episodes are in ginny and georgia season 2? Suppose that l is a tangent line to this circle which is parallel to the line y=5x+7 and has a negative y intercept. Then the point of tangency of l with this circle is. What does computer "Processing" mean?*A) Processing is when a computer deletes info.B) Processing is the computer's way of thinking.C) Processing is putting info into a computer.D) Processing is the storage hardware of a computer like RAM or a hard drive. I need helppppppppppp The Emancipation Proclamation and its EffectsLincoln Changes his Mind:Many abolitionists celebrated when the war began. They urged Lincoln to end slavery and punish theSouth for starting the war. At first, the President resisted. He knew most northerners did not want to endslavery. "You... overestimate the number in the country who hold such views," he told one abolitionist.He feared that any action to emancipate, or free, enslaved African Americans might make the borderstates secede. Lincoln said his goal was to restore the Union, even if that meant letting slavery continue.He stated this very clearly in a letter to abolitionist newspaper publisher Horace Greeley."If I could save the Union without freeing any slave, I woulddo it, and if I could save it by freeing all the slaves, I woulddo it; and if I could do it by freeing some and leaving othersalone, I would also do that. What I do about slavery... I dobecause I believe it helps to save the Union."Gradually, Lincoln began to change his mind. He realized how importantslavery was to the South's war effort. He told his Cabinet that he intended toissue an Emancipation Proclamation. But Cabinet members advised him to wait until after a success onthe battlefield.Questions:1. Why did abolitionists celebrate when the war began?2. Why did Lincoln think the border states would secede?3. What do you think Lincoln was trying to say in the bolded quote above? Short-run and long-run effects of a shift in demandSuppose that the tuna industry is in long-run equilibrium at a price of $5 per can of tuna and a quantity of 400 million cans per year. Suppose the Surgeon General issues a report saying that eating tuna is bad for your health.Part 1) The Surgeon Generals report will cause consumers to demand: a) more b) less tuna at every price.Part 2) In the short run, firms will respond by: a) producing less tuna and running at a loss b) producing more tuna and earning positive profit c) entering the industry d) exiting the industry e) producing the same amount of tuna and earning positive profit f) producing the same amount of tuna and running at a lossShift the demand curve, the supply curve, or both on the following diagram to illustrate these short-run effects of the Surgeon Generals report.Part 3) In the long run, some firms will respond by: a) producing less tuna and running at a loss b) producing more tuna and earning positive profit c) entering the industry d) exiting the industry e) producing the same amount of tuna and earning positive profit f) producing the same amount of tuna and running at a lossuntil: a) new technologies are discovered that lower costs b) each firm in the industry is once again earning zero profit c) tuna populations grow large enough to support more firms d) consumer demand returns to its original levelPart 4) The new equilibrium price and quantity suggest that the shape of the long-run supply curve in this industry is: a) upward sloping b) horizontal c) downward sloping d) vertical in the long run In the excerpt from Christmas carol where is the cratcchit family when bob cratchit proposes a toast? Evelyn bought some belts online for $70. She used a coupon code to get a 10% discount. The website also applied a 5% processing fee to the price after the discount. How much did Evelyn pay, in the end? Round to the nearest cent. Can you solve this for me? Thank you! :> I need help please help asap (While doing this answer please, explain all of your steps! For 50 points and brainliest) A company has a cost equation of c= 0.925x - 4x+ 20 and a profit equation of p= -1.125x + 6x+40. Solve for the breakeven point. Show your work and explain the steps you used to solve. Round your answer to the nearest tenth. Question 3(Multiple Choice Worth 1 points)(04.02 MC)3What is the y-intercept of the line perpendicular to the line y = -3/4x + 5 that includes the point (-3, -3)?3/417-21/4Question "papers and patents are becoming less disruptive over time" who wrote this paper?