Morgan throws a ball up into the air. The height of the ball above the ground, in feet, is modeled by the function h(t) = −16t 2 + 24t, where t represents the time, in seconds, since the ball was thrown. What is the appropriate domain for this situation?

Answers

Answer 1

Answer:

I will give you the link below to a PDF that one of my young friends made for someone who had this exact question.

Step-by-step explanation:

Answer 2

The appropriate domain for this situation is [tex]\{t : 0 \leq t \leq 1.5\ \& \: t \in \mathbb R \}[/tex] (that means t can be any real number and between 0 and 1.5 (both endpoints included)

What is domain and range of a function?

Domain is the set of values for which the given function is defined.

Range is the set of all values which the given function can output.

For this case, we have  only those values of 't' as appropriate value, which are from t = 0 till the time when ball hits the ground, since after that the height will be constantly 0, but the height function will give negative values which doesn't model the situation correctly.

Thus, those values of t for which the equation [tex]h(t) = -16t^2 + 24t[/tex] correctly models the real world situation are said to be appropriate values of domain of this function.

The time when the ball will reach the ground will be when the height will be 0, thus,:

[tex]0 = -16t^2 + 24t\\2t^2 - 3t = 0\\(2t-3)(t) = 0\\t = 0, t = 3/2 = 1.5 \: \rm sec[/tex]

The height is 0 when ball starts going up(t=0), and when t = 1.5 the ball reaches ground.

Thus, the appropriate domain for modelling the situation is values of t in the interval [0, 1.5] (both endpoints are inclusive, as shown by big bracket).

Learn more about appropriate domain here:

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Related Questions

Julio bought a backpack for $39.95 and 2 belts for $17.99 each. The sales tax is 6%. How much did Julio spend for all the items, including tax

Answers

Answer:

$80.49

Step-by-step explanation:

39.95 + 17.99 x 2

17.99 x 2 = 35.98

35.98 + 39.95 = 75.93

75.93 + 6% = 80.49

p + 12 > 9
A. p > 21
B. p > 3
C. p > –21
D. p > –3

Answers

Answer:

D. p>-3

Step-by-step explanation:

step1

move 12 to the other side

p>9-12

when you move it changes it's sign from positive to negative

p>-3

Sasha has $850 to deposit into two accounts.

Sasha will deposit $450 at First Oak Bank.

She will deposit the rest at River Point Bank.

Sasha will not make additional deposits or withdrawals.
How much more money will be in her account at First Oak Bank than at River Point after 2 years?

Answers

Since in Interest is not stated there will be no interest.This equation can be expressed as:
850=450+x
850-450=x
400=x
Sasha deposits $400 at River Point bank.
She will have $50 more in First oak bank (without interest).

Amount in First Oak Bank is $87.84 than at River Point after 2 years.

What is Simple Interest and Compound Interest?

Simple interest is the interest obtained over the principal amount on a certain rate.

Compound interest is the amount of interest which is calculated on the principal amount as well as the amount accumulated over the previous period.

First oak bank is simple with 6% interest.

Final amount in simple interest, A = P(1 + rt), where P is the principal amount , r is the interest rate and t is the number of years.

A = 450 (1 + (0.06 × 2)) = $504

River point bank is 2% compounded annually

Final amount in compound interest, A = P(1 + r/n)^(nt), where, P is the principal amount, r is the interest rate, t is the number of years and n is the number of times interest compounded annually.

P = 850 - 450 = 400

n = 1, since compounding is only 1 time in a year

A = 400(1 + 0.02)² = $416.16

Amount which is more in First oak is $504 - $416.16 = $87.84

Hence the amount more in the First oak account is $87.84.

Learn more about Simple and Compound Interest here :

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#SPJ2

The complete question is given below.

PLEASE HELP!!!


I don't understand how to work this out...
if possible, please explain how you got your answer. It would be very helpful.

Thanks!!​

Answers

9514 1404 393

Answer:

  17.3%

Step-by-step explanation:

The rate of return is the net profit divided by the purchase price.

The purchase price was ...

  (20 share) × ($30/share) = $600

The net proceeds from the sale were ...

  proceeds = selling price - commission

  = $710 -$6 = $704

So, the net profit is ...

  profit = $704 -600 = $104

And the rate of return is ...

  profit / investment = $104/$600 = 17.3%

Pls help me ill give you brainliest

Do both to get brainliest pls

Answers

Answer:

The first one is A or -11. The second one is A too.

Step-by-step explanation:

If you solve the first one for h you get the answer. If you plug in the numbers from the second question you get the answer.

Answer:

#19:

[tex]5(h + 2) = -3(4 - h)\\\\5h + 10 = -12 + 3h\\\\2h + 10 = -12\\\\2h = -22\\\\h = -11[/tex]

The answer is A. -11.

#20:

We will use the following formula for this question:

Point-slope form: y - y₁ = m(x - x₁)

In this form,

m = slope(x₁, y₁) = a point on the line

Knowing this, we can conclude that the answer is D. y + 3 = -3/4(x + 2).

Round 8,531.75 to the nearest 10.

Answers

Answer:

8,530

Step-by-step explanation:

8,531.75 rounds to 8,531 which rounds down to 8,530

The answer is 8,530.

If triangle ABC is similar to triangle DEF, what is the value of x?




12 cm

36 cm

15 cm

5 cm

Answers

Answer:

           x = 15 cm

Step-by-step explanation:

If triangle ABC is similar to triangle DEF, then:

                                                                    [tex]\dfrac{AC}{DF}=\dfrac{BC}{EF}[/tex]

Therefore:

[tex]\dfrac{x}{5}=\dfrac{12}{4}\\\\\dfrac{x}{5}=3\\\\x=15[/tex]

ANSWER FAST PLEASE!

Ms. Barcht Open a savings account with $50 and deposit $25 every week. Mrs. Greene save $75 every week. How many weeks will Mrs. Greene have more money in her account than ms. Bracht?

A. 25x+75>50

B. 75x=25x+50

C. 75x>25x+50

D. 75x<25x+50

Answers

Answer:

C

Step-by-step explanation:

Ms. Barcht's savings account can be modeled with the expression

50 + 25x

Mrs. Greene's savings account can be modeled with the expression

75x

Since the question is how many weeks Mrs. Greene will have more money than Ms. Bracht. we use an inequality to contain the all the solutions.

Mrs.Greene > Ms. Bracht

75x > 25x + 50

Answer:

The answer would be C. 75x>25x+50

Step-by-step explanation:

The answer would be C. because Ms. Barcht started with $50 and deposits $25 every week while Mrs. Greene saves $75 a week. 7 days is a week so lets multiply $25 x 2 (2 weeks). Ms. Barcht would have $100 by the end of 2 weeks and Mrs. Greene would have $150 by the end of 2 weeks because $75x2 is $150

Hope this helps.

can someone also help me with this please and thankss

Answers

Answer: The measure of angle 3 is 50 degrees.

Step-by-step explanation:

We know that angle 2 is 130 degrees.

Angle 1 and angle 2 are verticle angles which means that they are across and equal to each other.

So angle 1 and angle 2 are 130 degrees.

Add up both angle 1 and angle 2, 130 + 130 = 260.

Now, all of these angles add up to be 360 degrees in total as they make a circle and there are 360 degrees in one.

Subtract 260 from 360, 360 - 260 = 100.

Since both angle 3 and angle 4 are also verticle angles we need to split the 100 degrees evenly, 100 ÷ 2 = 50.

So, angle 3 is 50 degrees.

I think it’s 50!!! Because a full circle is 360° A straight line is 180°. 360 -260 (for the 130° of the numbers 1&2). So answer: 50° (for each)

Question 1
The model shows 156 jelly beans divided equally among three
friends. How many jelly beans does each person get?

Answers

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Let z=1+i where i^2=-1.calculate z^2 z^3 z^4

Answers

Answer:

[tex]0[/tex]

Step-by-step explanation:

[tex]i^2=-1[/tex]

[tex]i=-1[/tex]

Subsite i in for z

[tex]z=1+-1[/tex]

Add [tex]-1[/tex] to both sides

[tex]z=0[/tex]

Anything multiplied by 0 is just 0.

Is there a solution to 8,-5

Answers

Answer:

The solution is x = 8.

Step-by-step explanation:

James needs to buy shirts for his business. Company C charges customers a one-time $50 printing fee plus $10 for every shirt. Company D charges a one-time $20 printing fee plus $15 for every shirt. Which inequality can be used to find s, the minimum number of shirts that can be purchased so that the total charge at Company C is less than the total charge at Company D? 50s+10>20s+15 50s+10 20+15s

Answers

Answer:

50 + 10s > 20 + 15s

Step-by-step explanation:

This is the answer because if James pays for 1 shirt from company C he would be paying $60, but if he were to pay for 1 shirt at company D he would be paying $35. So that's why its >. Anyway, the s goes on the second number because that's the price for every shirt, And the first number is by itself because its a one-time printing fee.

PLEASE HELP FAST Rewrite
y = x/5 - 6 in a general form! I’ll give brainlist look at the picture!

Answers

Answer:

it's C. :)) u wanna explanation??

Plz help, I’m not good at this!

If a dozen eggs cost $1.35 what I sent the unit cost, plz explain how to get the answer along with the answer

Plz don’t waste my points

Answers

Answer:

0.1125

Step-by-step explanation:

1.35 divided by 12 = 0.1125

Answer:

$0.11 per egg

Step-by-step explanation:

unit cost means how much each one costs

there are 12 eggs in a dozen

so all you have to do is divide $1.35 by 12

which equals $0.1125

but money is only counted by the hundredths place so we have to round

and that would be $0.11

hope this helps and plz mark brainliest :D

Jenny is getting some snacks for her road trip.Her total for her items is $36.84.If the sales tax is 4%,how much is her total cost?

Answers

I’m not to sure but I think the answer would be $38.31 . Hope this helped .

Wendy thinks the perfect chocolate chip cookie has 353535 chocolate chips for every 555 ounces of dough. Cookie Club makes batches of chocolate chips cookies with 100100100 chocolate chips and 151515 ounces of dough.
What will Wendy think about Cookie Club's cookies?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
They are too chocolatey.

(Choice B)
B
They are not chocolatey enough.

(Choice C)
C
They are just right.

Answers

Answer:

I would go with A.......

Answer:

i would go with B i got it from Khan

Step-by-step explanation:

Help fast i will give you brainlist Which of these inequalities are equivalent to r > -11? Check all that apply. -r -33 -3r 33

Answers

Answer:

3r and 33

Step-by-step explanation:

3r and 33
Correct answer

What makes a problem a two-step equation?
A) The problem has two answers
B) The problem has three operations
C) The problem has two operations
D) The problem has two questions

Answers

C. Because a two step equation is a two part problem, not two separate questions

Answer:

C) The problem has two operations

Step-by-step explanation:

it would be nice if someone can help me

Answers

Answer:

Solution is 16r-14s

Step-by-step explanation:

2(7r-2s)+2(r-5s)

14r-4s+2r-10s

16r-14s

Answer:

16r - 14s

Step-by-step explanation:

The perimeter is a measure of a polygon that describes the distance around the boundaries of a shape.

Perimeter Formula

The perimeter of a rectangle is equal to [tex]l + l + w + w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width. This can be simplified to [tex]2l+2w[/tex]. Now, we can plug in the expression we are given for width and length.

[tex]2(r-5s)+2(7r-2s)[/tex]

Simplifying the Expression

The expression above does accurately depict the perimeter, but it should be simplified to make the expression easier to understand and use.

First, distribute the 2 inside the parentheses.

[tex]2r-10s+14r-4s[/tex]

The next step is to combine like terms. Like terms are terms that have the same power and variable. For example, 2r and 14r are like terms.

16r - 14s

This is the simplified expression and the final answer.

Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (1, 5).

Answers

Answer:

4x-y+1=0

Step-by-step explanation:

here,given equation of a line id

4x-y-2=0.. eqn(i)

equation of any line parallel to line (i) is

4x-y+k=0...eqn(ii)

since, the line(ii) passes through (1,5)[replacing x=1 and y=5 in eqn(ii), we get]

4*1-5+k=0

or, 4-5+k=0

or,-1+k=0

•°•k=1

substituting the value of k=1 in eqn(ii),

4x-y+1=0 is the required equation of the line.

What is the classification for this polynomial? -9a^2b^2 - 9ab-9

Answers

Answer:

I Believe it is -9([tex]a^{2}[/tex][tex]b^{2}[/tex] + ab + 1)

Step-by-step explanation:

Factor out the common term 9.

Answer:  trinomial

Step-by-step explanation:

they asked for the classification, where that looks to be a trinomial since it has 3 terms

Are these triangles similar? If yes, by what?

SSS, SAS, or AA?

Answers

Is ASA an option for you?

Please help me!! thank you!​

Answers

Answer: 27

Step by Step Explanation:
First, put the variables in and make sure to put them into parentheses;
4(3)-3(5)+2(3)(5) and multiply;
12-15+30 now use PEMDAS which since it's using only addition and subtraction you go from left to right;
12-15=-3 then add 30 to -3=27

Factor this trinomial.
x2 + 2x-3

Answers

Answer:(x-1) (x+3)

Step-by-step explanation:

Hope this helps!

Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times the width. Which system of equations represents is the dimensions of the rectangular garden if the perimeter is 63?

Answers

Step-by-step explanation:

Let the width of the garden be b and its length is 9 feet less than 3 times the width.

Length = 3b-9 ...(1)

The perimeter of the garden = 63

We need to find the system of equations that represents is the dimensions of the rectangular garden.

Perimeter = 2(l+b)

63 = 2(3b-9+b)  [from equation (1)]

31.5 = (3b-9+b)

31.5 = (4b-9)

31.5+9 = 4b.....(2)

b = 10.12

Hence, the equations are showsn in equation (1) and (2).

Sue bought a bunch of snacks that each cost $2.50. Let y represent the total cost and x represent the number of snacks she bought. Pick which equation represents the proportional relationship between the total cost and the number of snacks she bought.

a. 2.50(y)=x
b. 2.50+y=x
c. 2.50(x)=y
d. 2.50+x=y

Answer=__________

Please I need this now!!!!!!!!!!!!!
Date : 12/11/2020​

Answers

Answer:

the answer is letter c 2.50(x)=y

MATH PROBLEMS 2 PLS HELPPPP HOPE NOT TO SMALL BUT TRY THE ZOOM THAT MIGHT MAKE IT MORE VISIBLE

Answers

Answer:

No Zooms

Step-by-step explanation:

A cyclist rode 4.75 miles in 0.3 hours.
a. How fast was she going in miles per
hour?

Answers

Answer: He is goiung 15.83 miles per hour or 15 miles per hour.

Step-by-step explanation:

Just divide 4.75 by 0.3


Solve for x.
please helppp! it’s the end of the grading period

Answers

Answer:

x=4

Step-by-step explanation:

16 = 4x

16/4 = x

4 = x

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