Select the correct answer. A baseball is hit from an initial height of 3 feet and reaches a maximum height of 403 feet. Which function could be used to model this situation, where is the height, in feet, after t seconds?

Answers

Answer 1

Answer:

ΔS = 1/2gt²

Step-by-step explanation:

Given

Initial height of the ball = 3 feet

Maximum height of the  ball = 403 feet

To get the function that best suits the situation after t seconds, we will use the equation of motion;

ΔS = ut + 1/2gt²

ΔS is the change in height

u is the initial velocity of the body = 0m/s

g is the acceleration due to gravity = 9.81m/s²

t is the time taken for the ball to reach its maximum height.

ΔS = 403-3

ΔS = 400ft

Substituting the given values into the formula;

ΔS = ut + 1/2gt²

400 = 0 + 1/2(9.81)t²

400 = 4.905t²

t² = 400/4.905

t² = 81.55

t = √81.55

t = 9.03secs

The situation that best model the situation is ΔS = ut + 1/2gt²

ΔS = 0 + 1/2gt²

ΔS = 1/2gt²


Related Questions

-p(51+z) = Dz+84
Z=?

Answers

Answer:

[tex]z=\frac{3 (28 + 17p)}{p + D}[/tex]

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

HELP ME PLEASE
Which function has the same graph as x+y=11
:(:(:(:(

Answers

Answer:

B

Step-by-step explanation:

to find this, we can isolate y.

x+y=11

y=11-x

y=-x+11

you got it right, gj:)

In 11 years, John's age will be 5 less than 5 times his current age. How old is he?

If x represents John's current age, which of the following equations could be used to solve this problem?

A.) x + 11 = 5x -5
B.) x+11 - 5 = 56
C.) x + 11 = 5.5x

Answers

I could be wrong but I’m pretty sure it’s A

Answer:

I believe its a

Step-by-step explanation:

What is the quotient?
-4/5^2

Answers

Answer:

by using calculator

-16/5

whats 4 3/4 times 3 4/5

Answers

Answer:

361/20

Step-by-step explanation:

Which graph best represent the solution to this system of inequalities? 2x ≤ y – 1
2x – 5y ≤ 10

Answers

we can’t really answer the question because we need to see the graph but I tried doing my research and it’s maybe A

Rewrite the equation in the form (x−p)2=q. 0=x2-16x+26

Answers

Answer:

(x - 8)² = 38

Step-by-step explanation:

Given

x² - 16x + 26 = 0 ( subtract 26 from both sides )

x² - 16x = - 26

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 8)x + 64 = - 26 + 64

(x - 8)² = 38 ← as required

Graph (1,1), (1,2), (1,3), (1,4)

Answers

Answer:

There is not a way that I can show you how to graph it, so I will try and explain it.

Step-by-step explanation:

(1,1)

^  ^     y-axis

x-axis

You are just going right however many, and then up however many it says.

So if it's (1,1) you will go right one space, and then up one space.

Once you have all of your points on the graph, you put a line through them.

Hope this helps! :)

Mae Ling earns a weekly salary of $315 plus a 6.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,100 worth of merchandise?

Answers

Answer:

$561

Step-by-step explanation:

4100 x0,06=  246

246+315=561

Other than 1, what are the perfect square factors for 792? From least to greatest.

Answers

Answer:

4 and 36

Step-by-step explanation:

Perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81

Dividing 792 by these perfect squares results the integer (only) quotients

                                 792 (792 divided by 1)

                                 198 (792 divided by 4

                                   22 (792 divided by 36

                                       

The perfect square factors of  792 are, in ascending order, 4 and 36.

From least to greatest, the perfect square factors of 792 are 4, 9 and 36.

Perfect squares are those that are acquired when an integer multiplies itself. For instance, 4 is a perfect square that is a result of 2 multiplying itself.

Other perfect factors include:

4 → 9 → 16 → 25 → 36 → 49 → 64 → 81 → 100 → 121 → 144 → 169 → 196 → 225 → 256 → 289 → 324 → 361

The factors of 792 are attached to this answer.

The perfect squares that are also factors of 792 are:

4 , 9 and 36

In conclusion, 792 has perfect factors of 4, 9 and 36

Find out more at https://brainly.com/question/1826760.

96% of all air travel departs on time. If you are taking 3 flights in one day, what is the probability that all of them depart on time?

Answers

Answer:  0.884736

Step-by-step explanation:

Given: The proportion of all air travel departs on time: p= 0.96

Total flights : n= 3

Let x be the number of flights on time.

As there are two cases either flight on time or not, so it is a binomial case.

Binomial distribution formula: [tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex]

The probability that all of them depart on time = [tex]P(X=3)=\ ^3C_3(0.96)^3(1-0.96)^0=(1)(0.96)^3=0.884736[/tex]

The probability that all of them depart on time = 0.884736

M(5.9) is the midpoint ofRS. The coordinates of Sare (6,8). What are the coordinates of R?

Answers

coordinates of R (4,10)

•————•————•
(?,?) (5,9) (6,8)

You have to see how the x & y changed from point M to S and do the same thing for point R to M


M S
(5,9) >>>> (6,8) (x+1, y-1)

R M
(4, 10) >>>> (5,9) (x+1, y-1)

Which statement about proportional relationships is false?
3
A proportional relationship must graph as a line.
O A graph of a proportional relationship must pass through (0,0).
Each point (or pair) in a proportional relationship must share the same ratio.
Each point (or pair) in a proportional relationship must share the same difference.

Answers

Answer: This is my opinion but I think it’s D ;)

Step-by-step explanation:

I just took the quiz it’s right !

Which is greater, 12/17 or 5/8?

Answers

Answer:

5/8

Step-by-step explanation:

12/17 is 0.70

5/8 is 0.62

However, 12/17 had a lot more numbers than that so

TRUST ME I GOT EXCEPTED INTO HARVARD

Answer:

12/17 is greater

Step-by-step explanation:

12/17 is greater than 5/8 because to determine which fraction is greater you need to have the same denominator. To get the same denominator I multiplied 17 by 8 and 8 by 17. Since what you do the denominator you have to do the same to the numerator, you would multiply 12 by 8 and 5 by 17 which would lead you to get 12/17= 96/136 and 5/8= 85/136. So, 96/136 > 85/136.

What is the probability that both spinners land on red or orange?

A) 1/9
B) 1/3
C) 4/9
D) 2/9​

Answers

Answer:

A, the probability is 1/9. you get this because you multiply the probabilities

in this example its 1/3 times 1/3 so you get 1/9

Step-by-step explanation:

E pls and ty help :)

Answers

7x13=91
91-27=64
Answer: 64

Which are alternate interior angles?

Answers

Answer:

Angle MNQ and Angle RQN

Step-by-step explanation:

Determine if 0.515115111511115111115... is rational or irrational and give
reason for your answer.

Answers

it’s rational, for a number to be rational you have to be able to write it as a fraction and you can write 0.515115111511115111115... as a fraction.

The number  0.515115111511115111115... is a irrational number .

What are rational numbers?

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number,

Rational numbers are finite and repeating decimals

0.888888 is a rational number because it is recurring in nature.

What are irrational numbers?

Irrational numbers are a set of real numbers that cannot be expressed in the form of fractions or ratios. Ex: π, √2, e, √5

Irrational numbers are infinite and non-repeating.

0.21211211 is an irrational number as it is non-recurring and non terminating in nature.

According to the question

Number = 0.515115111511115111115...  

Now,

The number is non - terminating and non recurring that imply it is a irrational number .

Hence, The number  0.515115111511115111115... is a irrational number .

To know more rational and irrational numbers  here:

https://brainly.com/question/17450097

#SPJ2

After a hurricane, the Johnsons had 6 inches of water in their basement that was being pumped out at a rate of 1 inch per hour. The Grahams had 10 inches of water in their basement being pumped out at a rate of 2 inches per hour. Write an inequality that can be used to determine the number of hours it will for the water level in the Grahams’ basement to be equal to or less than the Johnsons’.

Answers

Answer:

6>5

Step-by-step explanation:

I know it is true

(10 points HURRY)
What is the value of Z? *
(10 Points)
48
10
24
Z
O z=5
O Z = 1
Z=4
O z=2

Answers

Answer:

Z=5

Step-by-step explanation:

half of 48 is 24 and half of 10 is 5.

Hope it helps :)

What set of reflections would carry triangle ABC onto itself?

Answers

Answer:

B

Step-by-step explanation:

A is on the x axis

B is on the y axis

C is on the x axis

b, b is on the y axis

PLZ JUST TELL ME IF THESE ARE RIGHT! THX
DO YOU AGREE!

Answers

Answer:

Yes, the are the right degrees.

Answer:

I do agree

Step-by-step explanation:

I know 10. is right because it is a right angle which id usually 90 degrees.

I'm pretty sure 11. is right because I know it is an obtuse angle and I think the number you gave is close if not it.

I know 12. is right because that angle looks the same as DBA which is already labeled 54 degrees.

I know 13.  is right because 180 degrees is always a straight line.

Hope this helps. Plz give brainliest.

Tiffany ate 1/4 of a pizza. If there were 16 slices of pizza to begin with, how many slices did Tiffany eat?​

Answers

Answer:

Tiffany ate 4 slices of pizza

Step-by-step explanation:

1/4 of 16 is 4

Tiffany ate 4 slices of pizza.

What is fraction?

" Fraction is a representation of a part of whole object which is divided into equal parts."

According to the question,

Total number of pizza slices = 16

Part of pizza ate by Tiffany   = 1 / 4

Therefore,

Number of slices Tiffany ate = ( 1/ 4) of 16

                                                = (1 / 4) × 16

                                                = 4 slices of pizza

Hence, Tiffany ate 4 slices of pizza.

Learn more about fraction here

https://brainly.com/question/10354322

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Please please answer quick I really need them by tonight it’s 3 equations just click on the pick and you will see all 3 equations.

Answers

1st: 775

3(5)^3 + (4*5)^2 = 775

You roll a six-sided dice. What is the probability of rolling a 1 or 2?

Answers

Answer:

1/3

Step-by-step explanation:

There are only six possible options and two that you want. You would get the fraction 2/6 which is equal to 1/3

Hope it helps! (:

which is a y intercept of the graphed function​

Answers

Answer:

-9

Step-by-step explanation: It crosses the y axis. A y intercept is in when the x axis is 0. So the point would be (0,-9).

find the value of x. PLEASE HELP
The answer is 14, teacher gave us the answer, but I need to show my work

Answers

Answer:

14*

Step-by-step explanation:

5x+4*=74*

-4          -4

5x=70*

x=14*

*dont mind the asterisks they are my temporary degree signs

hope this helps

brainliest?

Help me please
5 days = ___ hours
36 quarts = ___ gallons
144 oz = ___ lb

Answers

it’s 120 then 9 and then 9 again

Which of the following correctly expresses the number below in scientific notation? 0.0000899

Answers

Answer:

10^5 times 8.99

Step-by-step explanation:

plz help me: what is the solution for : |x| -6 = 4

Answers

Answer:

x can be 10 or -10

Step-by-step explanation:

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