The equation h(t) = -16t^2? + 32t + 128 models the path of a ball thrown in the air from the top of a building. After how many seconds does the ball reach its maximum
height?

Answers

Answer 1

Answer:

1 second

Step-by-step explanation:

Answer 2

The number of seconds for the ball to reach the maximum height is t = 1 s

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

f ( x ) = -16t² + 32t + 128

The function h(t) gives the height of the ball at time t. The maximum height occurs at the vertex of the parabolic path, which is given by the formula:

t = -b / (2a)

where a = -16 and b = 32 are the coefficients of the quadratic term and the linear term, respectively.

Substituting these values into the formula, we get:

t = -32 / (2(-16)) = 1

Therefore, the ball reaches its maximum height after 1 second

Hence , the function is solved

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Related Questions

Please help this is due today!

Calculate the unknown missing angle measures.

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Answers

Answer:

x=63+86

Step-by-step explanation:

due to circle theory

Find the percent of change

1970's: $0.79
2010's: $3.72

Answers

Answer:

471%

Step-by-step explanation:

If you divide 3.72 by .79 you get 4.7088...

Multiply by 100 to get your percentage is 470.88...

Rounded to nearest percentage is 471

hope this helps

On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.

Let I = the event that a player is an infielder.

Let 0 = the event that a player is an outfielder

Let H = the event that a player is a great hitter.

Let N = the event that a player is not a great hitter.


Write the symbols for the probability that of all the great hitters, a player is an outfielder.

Answers

Answer:

P(H | I)

Step-by-step explanation:

Given that

Some players considered to be great hitters and some would be not great htters

So based on the symbols given in the question

For all the great hitters a player would be an outfielder

For this the symbol is

P(H | I)

The probability that of all the great hitters, a player is an outfielder will be [tex]P(O\cap H)[/tex].

Given information:

On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.

Lets assume,

I = the event that a player is an infielder. 0 = the event that a player is an outfielder. H = the event that a player is a great hitter. N = the event that a player is not a great hitter.

It is required to write the probability that of all the great hitters, a player is an outfielder.

It is required that the player should be outfielder and hitter both.

So, the required probability can be written as,

[tex]P(O\cap H)[/tex]

Therefore, the probability that of all the great hitters, a player is an outfielder will be [tex]P(O\cap H)[/tex].

For further  details refer the given link:

https://brainly.com/question/795909

A family wants to rent a car to go on vacation. Company a charges $70.50 and $.50 per mile. Company B charges $35.50 and nine cents per mile. How much moreDoes Company a charge for X miles then company b?

Answers

Answer:

Company A is 1.99 times B.

Step-by-step explanation:

Company A charges:

[tex]A=70.50+0.50=\$71/mile[/tex]  

Company B charges:

[tex]B=35.50+0.09=\$35.59/mile[/tex]

We just need to divide A by B:

[tex]x=A/B=1.99[/tex]

Therefore, company A is 1.99 times B.

I hope it helps you!

     

The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you
get 50 points for each seven-letter word you make with the ten letters you receive. Sal wants to break the
record, and he needs 18,000 or more points to do so.
Write an inequality to determine the number of seven-letter words, w, Sal could make to break the record.
Graph the solution set to this inequality.
+
352
350
354
356
358
360
362
364
Switch direction
Make circle open

Answers

He needs 18,000 points.

He starts with 100, so subtract the 100 from 18,000 to get how many more points he needs:

18000 - 100 = 17,900 more points.

Divide the points needed by points per word:

17,900 / 50 = 358

He needs at least 358 words.

The inequality would be 50x+100>=18000, where x is the number of words.

Because 358 can be part of the solution, a solid dot on 358 and the line/arrow needs to point to the right for greater than.

Write as an expression and solve (show your work)

One fourth the difference between 21 and 5

Answers

(21-5) x (1/4) hope this helps!

Answer:hiii

Step-by-step explanatio

la picina de Javier se llena con 5 galones de agua.Si cada galón de agua equivale a 3.785 litros cuántos litros se ocupan para llenar la picina​

Answers

Answer:

I don't know your language

Answer:

se llena con 18.925 litros

Step-by-step explanation:

5x 3.785

If it takes 6 workers to paint a house in 48 hours how will it take 4 workers to paint the same house?

Answers

Step-by-step explanation:

6 worker do the painting of house = 48 hours

1 worker will take = 48/6 = 8 hours

4 worker will take. = 4× 8 = 32 hours

to paint the house

plz mark my answer as brainlist plzzzz vote me also .

hope this will be helpful to you ☺️.

Answer:

96 hours

Step-by-step explanation:

48 / 6 = 8

8 hours per worker.

4 x 8 = 24 x 2 = 48

So 96 hours

Hope that helps!

If a country's saving rate increases, then in the long run\

a. both productivity growth and income growth increase.

b. only productivity growth increases.

c. only income growth increases.

d. neither productivity growth nor income growth increase.

Answers

Answer:

a. both productivity growth and income growth increase.

Step-by-step explanation:

In terms of economics, savings and investment has a direct relationship. The level of savings and investment go hand in hand. There exists a cycle running between the two of them. The amount saved from the savings are then invested in the investment. Low savings indicate that the economy has selected for the short term consumption. For long-term investment, more savings are intended that helps to be the backbone of the economy.

What are the first four terms of the sequence represented by the expression n(n - 2) -3 ?
-5, -2, 1,4
-4,-3,0,5
-3,0,3,6
-2,0,2,4

Answers

Answer:

the first four terms is 3, 0, -3, -6

can someone help me solve this please :))

Answers

I just need somebody to help me and for some reason I have to answer somebody’s thing

Evaluate (8+2)³-6?
Please help

Answers

Answer:

994 :)

Step-by-step explanation:

PEMDAS

(8+2)^3 - 6

(10)^3   = 10 x 10 x 10

1,000    - 6

994

Ypu deposit $200 in an account that earns 4% simple interest. How much interest did you earn in 3 years?

Answers

Answer:

$1200

Step-by-step explanation:

we know that,

I=PTR/100=200*4*3/100=100*4*3=400*3=$1200

Answer:

1,200

Step-by-step explanation:

Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two, and describe any simplification that can be done.

Answers

Answer:

t(x) = 6x + 438

Step-by-step explanation:

The total (marked it as t) amount of money that Tamara has is the sum of the money under her bed and the money that she makes by babysitting.

Note that the first function is fixed and doesn't  actually depend on x (it could be written s = 450), so the only variable, which changes, is the hours (x) in the second function.

// combining the two functions

t(x) = 450 + 6(x − 2)

// simplification

t(x) = 450 + 6x − 12

t(x) = 450 + 6x − 12

// the simplified function is

t(x) = 6x + 438

Suppose a researcher compiled a data set consisting of the following variables for a sample of 100 retired men. For each variable, select whether it is discrete or continuous. Variable Discrete Continuous The number of meals eaten out in the last week The number of pets currently living in the household Pant size Height in inches Pounds of chocolate consumed in the past year

Answers

Step-by-step explanation:

A discrete variable can be defined as a definite variable that we can get it's possible values just by counting. With this in mind.

1. The number of countries ever visited is a discrete variable

2. Shoe size is definite, it is a discrete variable.

3. Number of pets living in a household is a discrete variable.

A continuous variable is one that we can get the value through measurements.

1. Pounds of chocolate consumed in the past is continuous

2. Height in inches is continuous

Circle the fraction greater than 3/10?

1/3

3/11

4/15

Or 29/100​

Answers

Answer:

1/3 is the only fraction here that is greater than 3/10.

Step-by-step explanation:

Convert these to decimals first, which can make it easier.

1/3 as a decimal is 0.33333333333333333333333333... which is greater than 0.3, which is 3/10.

3/11 as a decimal is 0.27272727272727.... which is LESS than 0.3, which is 3/10.

4/15 as a decimal is 0.26666666666666666666666666666666, which is less than 0.3, which is 3/10.

29/100 as a decimal is 0.29, which is less than 0.3, which is 3/10.

So the answer is 1/3.

How can you tell how many solutions a linear equation will have by looking at the equation?

Answers

Answer:

A system of two equations can be classified as follows

Step-by-step explanation:

If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

I need help so please be nice and help me hurry cause I have to turn this in!!

Answers

Answer:

16 easy

Step-by-step explanation:

WHAT IS THE LEGENTH OF ML. PLEASE HELP NOW​

Answers

Answer:

gdfgdf

Step-by-step explanation:

13x-5 Ugh help please

Answers

[tex] \huge\bf\red{answer}[/tex]

The expression is not factorable with rational numbers.

Heidi’s older sister needs to take either Chemistry (C), Geometry (G), or Physics (P) this year. She can take the class during any one of six periods (1 through 6). Is there more than one way to draw a tree diagram to model this situation? Explain.

Answers

Answer:

Yes. You can make a tree diagram with each subject at the top and the periods as the branches or with the periods at the top and each subject as a branch. Both ways provide the same number of​ outcomes, 18

Step-by-step explanation:

No, there is only one way to draw a tree diagram to model this situation.

What is Combination?

An arrangement of objects where the order in which the objects are selected does not matter.

No, there is only one way to draw a tree diagram to model this situation. The reason for this is that the choices for the classes and periods are mutually exclusive and exhaustive.

Starting with the first branch, there are three possible classes (C, G, or P) that the sister can take.

From each of these branches, there are six possible periods (1 through 6) that the sister can take the class.

Therefore, the tree diagram will have 3 branches at the top level, each with 6 branches at the next level, for a total of 18 possible outcomes.

If we try to draw a different tree diagram, we will end up with the same possible outcomes, just with a different arrangement of the branches.

Hence, there is only one way to draw a tree diagram to model this situation.

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PLS Help While on a strenuous hike, Tara recorded her distance from the peak of the mountain at two different time intervals. The table shows the two pieces of data she collected.

Answers

Answer:

Step-by-step explanation:

Equation of a line  representing the relation between distance from the peak of the mountain and time is,

h = mt + b

Here, m = Slope of the line

b = y-intercept

Since, slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table attached,

Slope of the line passing through (2, 2600) and (5, 950) will be,

m = [tex]\frac{2600-950}{2-5}[/tex]

   = -550

Therefore, equation of the line will be,

h = -550t + b

Since, point (2, 2600) lies on this line,

2600 = -550(2) + b

b = 2600 + 1100

b = 3700

So, equation of the line will be,

h = -550t + 3700

Input - output values for this line,

t            2             4            6  

h        2600      1500       400  

Now we can plot these points and get the graph of the line.

600% of what number is 5,580

Answers

Answer:

930

Step-by-step explanation:

600% of x = 5580

6x = 5580

x = 5580/6

x = 930

I don't get this part can somebody help pls?

Answers

Answer:

the ground level is -2

Step-by-step explanation:

hope this helps

Enter the unknown value that makes this statement true.
35 is % of 70

Answers

Answer:

Step-by-step explanation:

35 = x% of 70

35 = 1/2 of 70

x% = 50%

x = 50

How to solve this equation

Answers

Answer:

[tex]\frac{y^{6}}{4x^{2} }[/tex]

Step-by-step explanation:

please help with my math homework

Answers

Answer:

sorry for that

Step-by-step explanation:

image is so unclear can't even read

Find the equation of the line
Use exact numbers

Answers

The answer is y = x - 5

Sub in 0 to find the y intercept, and count rise over run to find the slope (1)

Answer:

y = 1x + -5

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

the line touches the y-axis at -5, therefore the y-intercept, or b, is -5.

y = mx + b ⇒ y = mx - 5

now i'll find the slope by picking two points from the line and finding the change in y over the change in x, aka [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. i'll use the points (8, 3) and (5, 0)  from the line in order to calculate the slope. (8, 3) can be my [tex]x_2[/tex] and [tex]y_2[/tex] and (5, 0) can be my [tex]x_1[/tex] and [tex]y_1[/tex].

first, i'm going to plug in my [tex]y_2[/tex] and [tex]y_1[/tex] values, which are the y-values from each of the coordinate pairs. since i picked (8, 3) for [tex]x_2[/tex] and [tex]y_2[/tex] and (5, 0) for [tex]x_1[/tex] and [tex]y_1[/tex], i will be plugging in 3 for [tex]y_2[/tex] and 0 for [tex]y_1[/tex].

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] ⇒ [tex]\frac{3-0}{x_2-x_1}[/tex]

then i'll plug in my [tex]x_2[/tex] and [tex]x_1[/tex] values, which will be 8 and 5.

[tex]\frac{3-0}{x_2-x_1}[/tex] ⇒ [tex]\frac{3-0}{8-5}[/tex]

now simplify by subtracting 0 from 3 and 5 from 8.

3 - 0 = 38 - 5 = 3

the slope is [tex]\frac{3}{3}[/tex], which simplifies to 1 because [tex]\frac{3}{3}[/tex] or  3 ÷ 3 = 1.

the slope-intercept form equation for this line is y = 1x + -5 (or just y = x - 5, but since it's a fill-in-the-blank problem, the 1 will show in front of the y and -5 will come after the + sign.)

i hope this helps! have a lovely day <3

2/4 - 1/4 please hep i know im not that good
for asking this

Answers

Since they have equal bases you can subtract it like a regular number. 2-1 equals 1 so the answer would be 1/4

Use the diagram below to answer the questions.
-17h
119°
с
G
Find m_PCT

Answers

Answer:

119°

Step-by-step explanation:

It’s 119.  You don’t need to solve for h.

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