A child shot a toy rocket into the air from their playhouse which stood 5 ft above the ground. The rocket rose to 50 ft above the ground and landed on the ground 3.4 seconds later. The path of the toy rocket could be modeled by a quadratic function, , where h is the height of the toy rocket in feet after t seconds. ⦁ What is the practical domain of the function? ⦁ What is the practical range of the function? ⦁ How would the theoretical domain and range of the function differ from the practical domain and range of the situation?

Answers

Answer 1

Answer:

a. 0 ≤ t ≤ 3.4 s. b. 0 ≤ y ≤ 50 ft. c. i. -∞ ≤ t ≤ +∞. ii. -∞ ≤ y ≤ 50

Step-by-step explanation:

a. What is the practical domain of the function?

Since the toy rocket lands on the ground 3.4 seconds later, if the time it starts to fly in the air is time t = 0 and the time it lands is time t = 3.4 s, the practical domain of the function is 0 ≤ t ≤ 3.4 s.

b. What is the practical range of the function?

Since the rocket reaches a maximum height of 50 ft, if the maximum height of the toy rocket is y = 50 ft and it lands on the ground at y = 0, the practical range of the function is 0 ≤ y ≤ 50 ft.

c. How would the theoretical domain and range of the function differ from the practical domain and range of the situation?

i. The theoretical values of t is from is from t = -∞ to t = +∞. So, the theoretical domain is -∞ ≤ t ≤ +∞.

ii. Since the maximum value of the function is y = 50, and it also decreases to y = -∞. So, the theoretical domain is from y = -∞ to y = 50. So, the theoretical range is -∞ ≤ y ≤ 50


Related Questions

Whats 2+2 tho
Cuz i uh forgot..yea

Answers

Answer:

I gotchu fam ..... 2+2=4

A.)4x-3y=6
B.)4x+3y=6
C.) 4x-3y=-6
D.)4x+3y=-6

Answers

C would be my guess here

Brynne withdrew all the money from her savings account in a series of 4 withdrawals and now has a balance of - $20. What is the average change on her account per withdrawal

Answers

Answer:

Is $80

Step-by-step explanation:

The diagram shows changes of state between solid, liquid, and gas. The atoms of a substance lose energy during a change of state. Before the change, the atoms are close together but are able to slide past one another.

A diagram has a triangle at center with gas on top, liquid on bottom right, solid on bottom left. An arrow from gas to liquid is labeled O, and an arrow from liquid to gas is labeled N. An arrow from solid to liquid is labeled P, and an arrow from liquid to solid is labeled Q. An arrow from solid to gas is labeled L, and an arrow from gas to solid is labeled M.

Which arrow represents the change of state described above?

M
N
P
Q

Answers

M........………...............

6+7×4+34=56 are they equal

Answers

No its not, the equation your showing right now adds up to 68

Answer:

No

Step-by-step explanation:

6+7×4+34=56

Step 1 - (PEMDAS)

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Simplify Using PEMDAS :

7 • 4 = 28

6 + 28 + 34 = 56

68 = 56 NOT EQUAL

The graph of a linear system is shown.

What is the solution to this linear system.

Answers

Answer:

(-1,7)

Step-by-step explanation:

The solution is where both lines meet.

2 1/3 divided by 4/5

Answers

Answer: 2.91666666667

Answer:

(2 1/3) : (4/5) = 35 /12 = 2 11 /12

1. You convert the mixed number (2 1/3) into an improper fraction which is 7/3.

2.Then you find a new numerator so you multiply the whole number (2) by the denominator (3) which is 6.

3 Add the answer (6) to the starting numerator (1). The new numerator equation: 6+1=7.

4.Write the new numerator (7) over the denominator (3)

Two and one seven third is seven thirds.

5. Then you divide: 7/3 : 4/5 = 7/3 * 5/4 = 7*5/ 3*4

6. Multiply (7 and 5) and (3 and 4) which gives you 35/12.

7.Then you transform it back into a mixed number by dividing 35/12 which gives you 2 11/12.

I am trash.No but seriously can someone help meh?

Answers

Answer:

Apples: 2.1

Blueberries: 1.1

Lemons: ?.1

Oranges: 3.5

Peaches:2.6

Pears : 3.6/2.6

Step-by-step explanation:

Reflect triangle QRS over the x-axis and write the image coordinates in the

Answers

Answer:

Q‘(3, -2) R‘(6,-8) S’(9,-2)

Step-by-step explanation:

Rule for reflection over the x-axis is (x,-y)

If 89.2 mL of a liquid has a mass of 75.2 g, calculate the liquid’s density.

Answers

Answer:

0.843

g

m

L

Explanation:

To calculate the density, we have to use the formula below:

D

e

n

s

i

t

y

=

M

a

s

s

V

o

l

u

m

e

Usually, density will have units of  

g

m

L

when dealing with a liquid or units of  

g

c

m

3

when dealing with a solid.

The mass has units of grams,  

g

.

The volume can have units of  

m

L

or  

c

m

3

We are given the mass and the volume, both of which have good units. All we have to do is plug the given values into the equation:

D

e

n

s

i

t

y

=

75.2

g

89.2

m

L

Thus, the liquid has a density of 0.843 g/mL.

Step-by-step explanation:

Together, Linda and Penny sold 492 boxes of Girl Scout cookies. Penny
sold 48 more boxes than Linda. How many boxes did Linda sell?

Answers

Answer:

222

Step-by-step explanation:

Let L = number of boxes Linda sold.

Let P = number of boxes Penny sold.

The sold a total of 492 boxes.

L + P = 492

Penny sold 48 more boxes than Linda.

P = L + 48

Substitute P with L + 48 in the first equation and solve for L.

L + L + 48 = 492

2L + 48 = 492

2L = 444

L = 222

Answer: Linda sold 222 boxes.

Check:

Penny sold 48 more boxes, so she sold 222 + 48 = 270.

Add the numbers they sold: 222 + 270 = 492

The difference is 48, and the total is 492. Our answer is correct.

Melody has learned to play 298 songs on the piano. She plans to learn to play ten more songs by next week. If she meets her goal, how many songs will she be able to play by next week?

Answers

Answer:

308 songs

Step-by-step explanation:

you just add the number of songs that she already knows how to play plus the number of songs that she learns to play the next week then you have your answer

She will be able to play 308 songs by next week.

Step-by-step explanation:

Use the function to find the missing value
f(x)=2/3x+2
f=(6)

Answers

Answer:

the answer to that is 2/20 or for the simplest form 1/10

I thought of a number, I added 1 3 4 to it, then I multiplied the result by 2 2 11 and I got 8. What was my number?
im sorry please hurry

Answers

Given:

In a number, adding [tex]1\dfrac{3}{4}[/tex], then multiplying the result by [tex]2\dfrac{2}{11}[/tex] we get 8.

To find:

The unknown number.

Solution:

Let the unknown number be x.

According to the question,

[tex](x+1\dfrac{3}{4})\times 2\dfrac{2}{11}=8[/tex]

[tex](x+\dfrac{1\times 4+3}{4})\times \dfrac{2\times 11+2}{11}=8[/tex]

[tex](x+\dfrac{4+3}{4})\times \dfrac{22+2}{11}=8[/tex]

[tex](x+\dfrac{7}{4})\times \dfrac{24}{11}=8[/tex]

Multiply both sides by [tex]\dfrac{11}{24}[/tex].

[tex]x+\dfrac{7}{4}=8\times \dfrac{11}{24}[/tex]

[tex]x+\dfrac{7}{4}=\dfrac{11}{3}[/tex]

Subtract [tex]\dfrac{7}{4}[/tex] from both sides.

[tex]x=\dfrac{11}{3}-\dfrac{7}{4}[/tex]

[tex]x=\dfrac{44-21}{12}[/tex]

[tex]x=\dfrac{23}{12}[/tex]

[tex]x=1\dfrac{11}{12}[/tex]

Therefore, the required number is [tex]1\dfrac{11}{12}[/tex].

-5x + 3x +9 = ax + 4 +b

Answers

Answer:

a=−b−2x+5/x

Step-by-step explanation:

Step 1: Flip the equation.

ax+b+4=−2x+9

Step 2: Add -b to both sides.

ax+b+4+−b=−2x+9+−b

ax+4=−b−2x+9

Step 3: Add -4 to both sides.

ax+4+−4=−b−2x+9+−4

ax=−b−2x+5

Step 4: Divide both sides by x.

ax/x=−b−2x+5/x

a=−b−2x+5/x

REASONING A newspaper company has three printing presses that together can produce 3500 newspapers each
hour. The fastest printer can print 100 more than twice the number of papers as the slowest press. The two slower
presses combined produce 100 more papers than the fastest press. How many newspapers can each printing press
produce in 1 hour?

Answers

Answer:

X = 1,700; Y = 1,000; Z = 800

Step-by-step explanation:

I could have sworn I answered this??? Sorry! Brainly, why wouldn't you let me answer this last night??? Anyway, for these types of problems, use X, Y, and Z for the three things you need to solve. First, we know that X (the fastest printer) = 100 + 2Z, where Z = the slowest printer. Z + Y = 100 + X or Z + Y = 100 + ( 100 + 2Z). --> Y - 200 = Z and Y = Z + 200. Next, we can add X + Y + Z together and set it equal to the full amount of newspapers, 3,500. Which would stand as 100 + 2Z + Z + 200 + Z = 3,500, let's try to solve for Z first, since it'll be super easy. We get 300 + 4Z = 3,500 --> 4Z = 3,200 --> Z = 800. Y = 200 + 800 = 1,000 and X = 100 + 2*800 = 1,700. And Z + Y = 800 + 1,000 = 1,800, which is 100 papers more than the fastest printer.

what is 2plus2minus2minusplus2plus2 you get one hundred points and brainliest so you get more points.

the answer is 4 just don't want the points.

Answers

Answer:

2 + 2 = 4 - 2 = 2 - 2 = 0 + 2 = 2 + 2 = 4

tanks :D

Answer:

4

Step-by-step explanation:

Write n as a fraction in simplest form.

Answers

Answer:

wouldn't it be [tex]\frac{n}{1}[/tex]?

Answer:

n over 1 = n/1

Step-by-step explanation:

4400 x 400=????????????

Answers

Answer:

An easiest way to multiply without a calculator would be:

1) First multiply 44*4 = 176

2) Then count the zeroes in the question and add it to your answer. So your answer will look like: 1760000

What is the best first step to solve the inequality 5x – 3 ≥ 2?

Answers

Do the Math is Easy man!!!

Answer:

add 3

Step-by-step explanation:

trust me

what is greater 3.556 or 3.565

Answers

Answer:

3.565

Step-by-step explanation:

six is greater than 5, and it is closer to the decimal

ayoooo the answer is 3.565.

A restaurant owner was experimenting with the taste of her homestyle lemon drink. She started with 60 litres of water. She removed 15 litres of the water and replaced it with 15 litres of pure lemon juice.
After thoroughly stirring the new mixture, she discovered that it was too “lemony”. So she removed 10 litres of the new mixture and replaced it with 10 litres of water. She thoroughly stirred the mixture and concluded that the new mixture was just right.
Determine the ratio of pure lemon juice to water in the final 60 litre mixture.

Answers

Answer:

ratio of pure lemon juice to water in the homestyle lemon  drink is 5 : 19.

Step-by-step explanation:

In order to solve the final ratio of lemon juice to water, let us start by determining the initial ratio of pure lemon juice to water in the first mix. This is done as follows:

Total volume of mixture = 60 liters

initial volume of water = 60 liters

initial volume of lemon juice = 0 liters

1) She removed 15 liters of the water and replaced it with 15 liters of pure lemon juice.

Volume of water = 60 - 15 = 45 liters

Volume of lemon juice = 15 liters

 [tex]\therefore \frac{15}{60}\ = \frac{1}{4}\ of\ the\ first\ mix\ is\ lemon\ juice\\\frac{45}{60}\ = \frac{3}{4}\ of\ the\ first\ mix\ is\ pure\ water[/tex]

2) She removed 10 liters of the new mixture

Let us convert this amount removed into ratio:

[tex]lemon\ juice\ = \frac{1}{4}\ \times 10 = \frac{10}{4} = \frac{5}{2}\ liters.\\ \therefore the\ owner\ removes\ \frac{5}{2}\ liters\ of\ pure\ lemon\ juice\\pure\ water\ = \frac{3}{4}\ \times 10 = \frac{30}{4} = \frac{15}{2}\ liters\\ \therefore\ the\ owner\ removes\ \frac{15}{2}\ liters\ of\ water\ from\ the\ first\ mix.[/tex]

New volumes of water and lemon juice after removing the 10 liters of mixture is calculated as follows:

[tex]lemon\ juice\ = 15 - \frac{5}{2} = \frac{30-5}{2} = \frac{25}{2}\ liters\ of\ lemon\ juice\\pure\ water\ = 45 - \frac{15}{2} = \frac{90-15}{2} = \frac{75}{2}\ liters\ of\ pure\ water[/tex]

3) and replaced it with 10 liters of water.

[tex]New\ volume\ of\ water\ = 10 + \frac{75}{2} = \frac{20+ 75}{2} = \frac{95}{2}\ liters[/tex]

The final ratio of lemon juice to water:

[tex]\frac{25}{2} : \frac{95}{2}\\= 25 : 95\\= 5 : 19[/tex]

Therefore, the final ratio of pure lemon juice to water in the homestyle lemon  drink is 5 : 19.

I kinda need help. Math isn't my best subject.

Answers

She earn $55,200

92,000 * .6 =

Is Triangle B a rotation of Triangle A? Explain how you know.

Answers

Answer:

where is the figure

Step-by-step explanation:

jamil always throws loose change into a pencil holder on his desk and takes it out every two weeks. this time it is all nickels and dimes. there are 8 times as many dimes as nickels, and the value of the dimes is $8.25 more than the value of the nickels. how many nickels and dimes does jamil have?

Answers

Answer:

20.6

Step-by-step explanation:

Answer:

There are 9 nickels and 63 dimes.

Step-by-step explanation:

Write the explicit formula for the arithmetic sequence 6, 8, 10, 12, . . . What is term number 46 in this sequence?
Answer:

Answers

Answer:

102

Step-by-step explanation:

Han rides his bike for 50 miles over 4 hours. How long will it take him to ride 75 miles?

Answers

Answer:

6

Step-by-step explanation:

[tex]75 \times 4 = 300[/tex]

[tex]300 \div 50 = 6[/tex]

the answer is 6

Answer:

6 miles

Step-by-step explanation:

What’s greater - 2/6 or - 3/8 or is it equal

Answers

Answer:

3/8 is greater

Step-by-step explanation:

2y + 12 = -3x

solve pls i have more I WILL GIVE EXTRA POINTS!!!!!!!!!!
20+

Answers

2y + 12 = -3x

Step-by-step explanation:

Divide y y by 1 1 . Divide 12 12 by 2 2 . Use the slope-intercept form to find the slope and y-intercept. The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept.

Answer:

2y+12=-3x

Step-by-step explanation:

is the answer

Find the unit rate. Then write which is the better buy. $0.90 for 2 pens or $1.75 for 5 pens

Answers

Answer:

2 pens for $0.90 is better

Step-by-step explanation:

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