To catch a ball, a professional baseball player leaps into the air with an initial velocity of
14 feet per second. Write a model for the height of the player above the ground after t seconds. After how many seconds does the player land on the ground? What would be the domain of this function?

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

a) The baseball player leaps into the air with an initial velocity of  14 feet per second. This means that the player leaps from the ground, the initial height is therefore zero.

The height (y) is given by the formula:

y(t) = ut - (1/2)gt² + initial heigth

u = initial velocity = 14 ft/s, t = time taken, g = acceleration due to gravity = 32 ft/s². Substituting:

y(t) = 14t - (1/2) * 32 *t² + 0

y(t) = 14t - 16t²

b) when the player is on the ground, the height = 0. hence:

0 = 14t - 16t²

16t² - 14t = 0

t(16t - 14) = 0

t = 0 or 16t - 14 = 0

t = 0 or 16t = 14

t =0 or t = 0.875

Hence t = 0.875 seconds

c) The domain is the set of possible values for the time. Hence:

Domain = (0, 0.875] = 0 < t ≤ 0.875


Related Questions

5(-6 + 4)=..................​

Answers

Answer:

-10

Step-by-step explanation:

5(-6 + 4)

=-30+20

=-10

Answer:

-10 or just 10 in general

Step-by-step explanation:

Find the measure of angle b (15

Answers

Answer:

Angle b is 15 measure the scale

You are running a concession stand at a basketball game. You are selling hot dogs and
sodas.Each hot dog costs $1.50 and each soda costs $ 0.50. At the end of the night, you made a total of
$78.50. You sold a total of 87 hot dogs and sodas combined. You musſt report the number of hot dogs
sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?

Answers

Answer: 52

Step-by-step explanation: Friend me and yes that is right!

FinWhat is the perimeter of the triangle in the graph? Round your answer to the nearest tenth if necessary. (1 point) 8.9 8.0 12.9 8.5d the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4), N(1,2), O(4, y)

Answers

Answer:

man did you ever find out the answer bc I'm dying I cannot fail this test-

Answer:

12.9

Step-by-step explanation:

it is common sense

also i just took test

Which data sets have outliers? Check all that apply
14,21,24,25,27,32,35
15,30,35,41,44,50,78
16,32,38,39,41,42,58
17,23,28,31,39,45,75
18,30,34,38,43,45,68

Answers

Answer:

C.16, 32, 38, 39, 41, 42, 58

and

E.18, 30, 34, 38, 43, 45, 68

its C. & E.

they both have outliers lol

Suzi starts her hike at 275 feet below sea level. When she reaches the end of the hike, she is still below sea level at −135 feet. What was the change in elevation from the beginning of Suzi's hike to the end of the hike?

Answers

Answer:

Have a nice day!

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Hi there!

This problem may seem tricky because of the negative sea level, os let’s set up an equation.

[tex]-275+x=-135[/tex] where x = the change in elevation.

Using orders of operations, add 275 to both sides and you will end with

x = 140

Her change in elevation is 140 feet.

I hope this helps!

Solve the inequality.
X + 25 < 33
O A. x< 58
B. x < 8
C. X> 58
O
D. X > 8

Answers

Answer:

x < 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

x + 25 < 33

Step 2: Solve for x

Subtract 25 on both sides:                    x < 8

Here we see that any value x smaller than 8 would work as a solution to the inequality.

Which graph represents y = √ X

Answers

Explanation:

[tex]\displaystyle [9, 3] → 3 = \sqrt{9} \\ [4, 2] → 2 = \sqrt{4} \\ [1, 1] → 1 = \sqrt{1} \\ [0, 0] → 0 = \sqrt{0}[/tex]

**In this case, we want NON-NEGATIVE terms.

I am joyous to assist you at any time.

What is the least common denominator of 1/4 and 7/9

Answers

Answer: It is 36

Step-by-step explanation:

Part A : At Mountain Park Middle school, there are 250 seventh-grade students who are not in advanced math. Let a represent the number of seventh-grade students who are not in advanced math?

Part B: How many students are NOT in advanced math?

Answers

Answer:

hard to explain

Step-by-step explanation:

Answer:I think 80 at bottom like

Step-by-step explanation:

Solve 2x + 2y = -28 2x - 2y = 26

Answers

Answer:

x=−y−14

Step-by-step explanation:

Answer:

x = none y = -27

Step-by-step explanation:

2x + 2y = -28 + 2x - 26

-2x                  -2x

__________________

2y = -28 - 26

2y = -54

y = -27

What equation is a proportion?

7/9 = 21=28
1/3 = 1/4
5/8 = 20/32
3/4 = 6/9

Answers

5/8 = 20/32
Explanation: 5 x 4 = 20 and 8 x 4 = 32

Answer:

5/8=20/32

Step-by-step explanation:

Let f(x) = 16 – x^2 , g(x) = 4 – x. Find (fg)(x) and its domain

Answers

f(4-x)=12
Domain:(-oo,oo) these are infinity symbols by the way.

Delta Airlines' flights from Boston to Seattle are on time 70 % of the time. Suppose 6 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 4 flights are on time is

Answers

Answer:

P(at least 4)  = 0.74431

Step-by-step explanation:

Here

Probability of the flights on time is = 70% = 70/100= 0.7

q= 0.3

n= 6

As the probability of success and failure is constant and the n is also fixed then the binomail probability distribution can be used to solve this.

P (x= 4) = 6c4 *(0.7)^4 (0.3)^2= 15*0.2401* 0.09= 0.324135

P (x= 5) = 6c5 *(0.7)^5(0.3)^1= 6*0.16807* 0.3=0.302526

P (x= 6) = 6c6 *(0.7)^6 (0.3)^0= 0.117649P

P (x= 0) = 6c0 *(0.7)^0 (0.3)^6= 0.000729

P (x= 1) = 6c1 *(0.7)^1 (0.3)^5=0.010206

P (x= 2) = 6c 2*(0.7)^2 (0.3)^4=0.059535

P (x= 3) = 6c3 *(0.7)^3 (0.3)^3=0.18522

Probability of at least 4 means that probability of greater than 4 inclusive of 4.

This can be obtained in two ways.

First is by subtracting the probabilities of less than 4.

Second is by adding probabilities greater than 4 including 4.

We get the same answer with any of the two methods used.

P(at least 4) = 1- P(x<4)

                     = 1- [ 0.000729+ 0.010206 +0.059535+ 0.18522]

                     = 1- 0.25569

                       = 0.74431

P (at least 4) = P(x=4) +P(X=5) + P(x=6)

                        =0.324135+ 0.302526+ 0.117649

                        =0.74431

Jeffrey is 5 years older than his brother. If j represents Jeffrey’s age, the expression j−5 can be used to find his brother’s age. If Jeffrey is 23, how old is his brother?

Answers

If j=23 and j-5 is how old Jeffery's brother is then Jeffrey's brother is 17 years old.

So j=17

His brother is 17 because 23-5 =17

What would you tip for a $22 meal if you wanted to leave 15%?
$18.70
$4.40
$3.30
$25.30

Answers

3.30 because 22 x 15% = 3.3
3.30,good luck with your math

Factor the expression using the GCF. 44-11 I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

11(4-1)

Step-by-step explanation:

11 is the greatist common factor of 44 and 11 so you factor an 11 out of both terms

44/11=4

11/11=4

Therefore the answer is 11(4-1)

n − 32 5 = 10 help plz

Answers

Answer:

n=335

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

n − 325 = 10  equation

Step 2

n − 325 = 10  simplify by adding 325 to both sides

Answer

n=335

whats the value of v 69 = 7v – 6

Answers

Answer:

75/7

Step-by-step explanation:

69=7v-6 rewrite as 69+6=7v

75 = 7v

75/7 = v

HELP NOW PLSSSSS
(where the longer it takes to solve a problem and the fewer people who answer it correctly, the more difficult it is). On each subsection, question 1 will be "easy" and question 15 will be considered "difficult." However, the ascending difficulty resets from easy to hard on the grid-ins.

Hence, multiple choice questions are arranged in increasing difficulty (questions 1 and 2 will be the easiest, questions 14 and 15 will be the hardest), but the difficulty level resets for the grid-in section (meaning questions 16 and 17 will again be "easy" and questions 19 and 20 will be very difficult).

Answers

the answer is 4/.12

:)

Answer:

Hence, multiple choice questions are arranged in increasing difficulty (questions 1 and 2 will be the easiest, questions 14 and 15 will be the hardest), but the difficulty level resets for the grid-in section (meaning questions 16 and 17 will again be "easy" and questions 19 and 20 will be very difficult).

What is the question??

An integer can be positive, negative, or _____. opposite zero equivalent

Answers

Answer:

Zero is nor a positive or negative number, so im guessing the answer is 0.

Step-by-step explanation:

What is the slope of a line parallel to the line 2x + 3y = 5?

Answers

i think its 2/3 but im not sure .

Answer:

D

Step-by-step explanation:

Parallel lines have same slope

Write the equation in slope - intercept form

2x + 3y =5

       3y = -2x + 5

Divide the equation by 3

    [tex]y = \frac{-2}{3}x +\frac{5}{3}[/tex]

So, slope = (-2/3)

Consider the following frequency table representing the scores on a test.

Scores on a Test

Class Frequency
40–43 7
44–47 7
48–51 7
52–55 8
56–59 4

Required:
a. Determine the lower class boundary for the fifth class.
b. Determine the upper class boundary for the second class.
c. Determine the class width of each class.
d. Determine the number of scores between 39.5 and 55.5

Answers

Answer:

(a)56

(b)47

(c)3

(d)29

Step-by-step explanation:

From the given frequency

(a) Fifth class is 56-59.

    The lower class boundary for the fifth class is 56.

(b) Second class is 44-47.

    The upper-class boundary for the second class is 47.

(c) Class width = 47-44 = 3, 47-44 = 3.

(d) Number of scores between 39.5 and 55.5 is

    =7 + 7+ 7 + 8 =29

Eidoskaijsizjzkxkxdkjajjsjeksjsii

Answers

Answer:

Yes, Yes, No, Yes

Step-by-step explanation:

what is the answer pls i need help

Answers

Answer:

A because you have to mutiply 3 x 2 and it gives you 6

Consider all four-digit numbers that can be made from the digits 0-9 (assume that numbers cannot start with 0). What is the probability of choosing a random number from this group that is less than or equal to 5000

Answers

Answer: 0.44

Step-by-step explanation:

First, let's count the total number of four-digit numbers.

Let's think it as four empty slots:

_ _ _ _

In each slot, we can put a single digit.

In the first slot, we have 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9}

The zero is not an option here, because if there was a 0, this would be a 3 digit number, then the 0 can not be in the first slot.

For the second slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

for the third slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

for the fourth slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

The total number of combinations is equal to the product between the numbers of options for each slot, this means that we have:

Combinations = 9*10*10*10 = 9000

So there are 9000 different 4 digit numbers.

Now we want to find the probability of selecting a number at random that is equal or smaller than 5000.

Let's see the number of 4-digit numbers that are equal or smaller than 5000.

The smallest 4-digit number is 1000.

Then the number of numbers between 1000 and 5000 is:

5000 - 1000 = 4000

This means that there are 4000 4-digit numbers that are equal or smaller than 5000.

Now, the probability of selecting one of them at random is equal to the quotient between the number of 4-digit numbers that meet the condition (4000) and the total number of 4-digits (9000)

Then te probability is:

P = 4000/9000 = 4/9 = 0.44

T

Find the value of x.
4x + 5
2x + 21, smby help me wit dis pls

Answers

Answer: x = 8

Step-by-step explanation:

4x + 5 = 2x + 21

4x + 5 - 2x = -2x + 2x +21 (Subtract 2x from both sides)

2x + 5 = 21

2x + 5 - 5 = 21 - 5 (Subtract 5 from both sides)

2x = 16

2x/2 = 16/2 (Divide both sides by 2)

x = 8

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.8 and 51 min.

Answers

Answer: the probability that the class length is between 50.8 and 51 min is  0.1 ≈ 10%

Step-by-step explanation:

Given data;

lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min

hence, height = 1 / ( 52.0 - 50.0) = 1 / 2

now the probability that the class length is between 50.8 and 51 min = ?

P( 50.8 < X < 51 ) = base × height

= ( 51 - 50.8) × 1/2

= 0.2 × 0.5

= 0.1 ≈ 10%  

therefore the probability that the class length is between 50.8 and 51 min is  0.1 ≈ 10%  

Which equation represents the line that is parallel to y = 2 and passes through (-1,-6)?

Answers

Answer:

y=-6

Step-by-step explanation:

the line needs to be vertical to be parallel to y=2, and pass through (-1,-6)

The diagram shows two squares constructed on the sides of a rectangle. Write an expression for the area of Square C in terms of the areas of Square A and Rectangle B. Then simplify to find the area. (N RN.1.1-2 HELP PLSSS

Answers

Step-by-step explanation:

Since area of Square A = 7 ft²,

Side length of Square A = √7 ft.

Length of Rectangle B = √7 ft

Width of Rectangle B = 4/√7 ft

Hence Area of Square C

= (4)² / (√7)² ft² = 16/7 ft².

The area of Square C is the square of the height of the Rectangle B.

Correct responses:

[tex]\underline{Area \ of \ square \ C = \dfrac{\left(Area \ of \ Rectangle \ B \right)^2}{Area \ of \ Square \, A} }[/tex]

[tex]Area \ of \ square \ C = \underline{\dfrac{16}{7}} \, ft.^2[/tex]

Methods used for finding the area of Square C

The given area of square A = 7 ft.²

The given area of rectangle, B = 4 ft.²

Let s represent the side length of square C and let S represent the side length of square A, we have;

Area of rectangle B = S × s = S·s

Area of square A = S × S = S²

Area of square C = s × s = s²

[tex]\mathbf{\dfrac{(Area \ of \ rectangle \ B)^2}{Area \ of \ square \ A } } = \dfrac{\left(S \cdot s \right)^2}{S^2} = \dfrac{S^2 \cdot s^2}{S^2} = s^2 = Area \ of \ square \ C[/tex]

Therefore, the expression for the area of Square C in terms of the area

of Square A and Rectangle B is presented as follows;

[tex]\underline{Area \ of \ Square \ C = \dfrac{ \left (Area \ of \ rectangle \ B \right)^2}{\left(Area \ of \ square \ A\right)}}[/tex]

Which gives;

[tex]\underline{Area \ of \ square \ C = \dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}}[/tex]

By simplification, we have;

[tex]\mathbf{\dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}} = \dfrac{16}{4} \, ft.^2[/tex]

[tex]Area \ of \ square \ C = \underline{ \dfrac{16}{7}} \, ft.^2[/tex]

Learn more about squares and rectangles here:

https://brainly.com/question/2288475

https://brainly.com/question/14044544

https://brainly.com/question/8428727

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