The function g(t)=−16t2+vt+h represents the height of an object, g, in feet, above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet. A model rocket is launched off the ground at an initial velocity of 80 feet per second. Part A: Write a function that can be used to describe the flight of the model rocket. Part B:What domain makes sense for this function in context?

Answers

Answer 1

Answer:

A) g(t) = - 16*t² + 80*t

B) domain is  ( 0 ≤ t ≤ 5 )

Step-by-step explanation:

A) for the model rocket

h = 0    and  v = 80 feet/sec

Then the equation     g(t)  = -16*t² + v*t + h

became

g(t) = - 16*t² + 80*t + 0         g(t) = - 16*t² + 80*t

B) The equation  g(t) = - 16*t² + 80*t  is defined for all real numbers then the domain interval for t is ( -∞ , ∞ ). Now in our case, a model rocket was launched is not possible to get negative values for g(t)  then the biggest value for t = 5 from

-16*t²  +  80*t  ≥ 0

-16*t  ≥ -80       16*t ≤ 80

t ≤ 5

And the domain is  ( 0 ≤ t ≤ 5 )


Related Questions

Determine whether the relationship is an inverse variation or not. Explain.

A.The product xy is constant, so the relationship is an inverse variation.
B.The product xy is not constant, so the relationship is an inverse variation.
C.The product xy is not constant, so the relationship is not an inverse variation.
D.The product xy is constant, so the relationship is not an inverse variation.

Answers

pretty sure the answer is A

The product xy is constant, so the relationship is an inverse variation. Thus, the correct option is A.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The table is given as,

x                  y                     xy

2               630                1,260

3               420                1,260

5               252                1,260

The product xy is constant, so the relationship is an inverse variation. Thus, the correct option is A.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Joseph concludes that the difference between the longest and shortest lengths is 2 1 2 feet. Marta disagrees and says that the difference is only 1 foot. Who is correct? Use the drop-down menus to show and explain your answer. Is correct because you the greatest and least lengths represented by the , not the number of at the greatest and least lengths.

Answers

The drop downs cannot be viewed.

Answer:

Joseph is correct

Step-by-step explanation:

To obtain the difference between the longest and shortest length of the rope ; all we need to do is find the range of the dot plot ; The value for the range is obtained thus ;

Range = Highest - Least value

Highest value or maximum = 12 feets

Minimum or least = 9 1/2 feets

The Range = difference between the longest and shortest length is : (12 - 9 1/2) feets = 2 1/2 feets

Kerry wants to give each student in her class
of a small pizza for lunch. There are 30 students in her class.
How many whole pizzas does she need to buy for her class?
O A. 15
OB. 20
OC. 30
O D. 60

Answers

the answer would be C(

Answer:

I believe the answer is (A) 15.

Step-by-step explanation:

If she buys 15 pizzas and gives each student half a pizza, then that would be 30 halves. Meaning she needs to buy 15.

This figure is made up of a triangle and a semicircle.

What is the area of the figure?

Use 3.14 for π .

Enter your answer, as a decimal, in the box.

units²
A composite figure made up of a triangle with vertices at negative 1 comma 1, 4 comma 5, and 7 comma 1 and a semicircle below the triangle such that the diameter extends from negative 1 comma 1 to 7 comma 1.

Answers

9.382 vifkvp unit rigging

Answer:

16.28

Step-by-step explanation:

f(x) =
-(x – 6)2 +7 for x+3
for X = 3
Find f(3)

Answers

Answer:

lol it's right there

Step-by-step explanation:

I am not sure if you are what I call a ride or die cuz u a caring person and ant to be a recruiter I am good at persuading people to do stuff

Before ordering numbers, what from would you need to make them all into

Answers

Answer:

To order the numbers, start with the lowest (first) and work your way up (last). This is referred to as "Ascending Order." Consider climbing a mountain.

Colette and Tycen made a quarts of lemonade to sell by the cup. Tycen's mother made 5 more cups of lemonade for them to sell. The
equation below can be used to find the number of cups of lemonade, c, they can sell when they make a quarts of lemonade.
C = 40 + 5
What is the greatest number of cups of lemonade Colette and Tycen can sell when q = 3?

Answers

Answer:

12 cups

Step-by-step explanation:

1 quart is 4 cups, so 4 x 3= 12 and 1 x 3 = 3.. Good Luck!

What is the distance between (0, 0) and (0, - 9) on the vertical line

Answers

Answer:

Step-by-step explanation:

what

Answer: 22

Step-by-step explanation:

HII CAN YOU HELP PLEASE??

Answers

Answer:

Step-by-step explanation:

1. x = 105

2.x = 35

In at least five (5) sentences, explain the effects of changing the “m" and the "b" in y=mx+b.
What happens when we use negative numbers for m? What happens when we use negative
numbers for b?

Answers

Changing the “m” or “b” would change the overall line on the graph. Meaning the line could be steeper or flatter. It could also change whether the line has a positive slope or negative. Likewise, when you use negative numbers for the m, the line will have a negative slope and will have a decreasing look to it. When you use negative numbers for the b, the y-intercept will be negative which will put the line further down the y-axis.

I hope this is what you were looking for! I kinda did it off the top of my head so of course feel free to change anything!!

What is the degree of the following polynomial: . 3x3 + 2x - 4

Answers

Answer:

3

Step-by-step explanation:

look for the greatest exponent

Carla and Deserea bought a dozen cookies from the bakery. Carla ate ¼ of the cookies and Deserea ate ½ of the cookies. Who ate the most

Answers

Answer:

The answer is Deserea.

Step-by-step explanation:

Dont worry, this is simple :)

If you have a dozen cookies, that means you have 12 cookies!

And 1/4 of 12 is simply 12 divided by 4, which equeals 3, so Carla ate 3 cookies.

And Deserea ate ½ of the cookies, which is 12 divided by 2, which is 6! So Deserea ate 6 cookies.

6 is greater than 3. So Deserea ate more Cookies!

Hope this helps!

Deserea Ate the most because 1/2 is a lot more than 1/4. Hope this helps :-)

In a math class with 19 students, a test was given the same day that an assignment
was due. There were 12 students who passed the test and 13 students who completed
the assignment. There were 4 students who failed the test and also did not complete
the assignment. What is the probability that a student completed the homework given
that they passed the test?

Answers

Answer:  5/6

======================================================

Work Shown:

A = number who passed test, and did the hwB = number who passed test, but didn't do the hwC = number who failed test, but did the hwD = number who failed test, and didn't do the hw

With a class total of 19, we know that A+B+C+D = 19.

12 students passed the test, which leaves 19-12 = 7 people who failed the test.

Of these 7 people who failed the test, 4 of them didn't do the hw. This leads to D = 4.

Note how C+D = 7 becomes C+4 = 7 and it solves to C = 3.

Since 13 people did the hw, we can say A+C = 13. Plug in that value of C we found earlier, to find that A = 10.

Lastly, solving A+B = 12 leads to B = 2.

------------

To summarize what we found so far:

A = 10B = 2C = 3D = 4

Now onto the question your teacher is asking: "What is the probability that a student completed the homework given that they passed the test?"

The key phrase here is "given that they passed the test". Because of this phrase, we'll ignore anyone who didn't pass. We'll focus solely on the 12 students who passed. Of those 12 who passed, we found that A = 10 people did the hw.

Therefore, the probability of picking someone who did the hw, given the passed the test, is 10/12 = 5/6

In the data set shown below, what is the value of the quartiles?
{56, 58, 64, 68, 72, 75, 78}
A. Q1 = 58; Q2 = 68; Q3 = 73.5
B. Q1 = 61; Q2 = 68; Q3 = 73.5
C. Q1 = 75; Q2 = 68; Q3 = 58
D. Q1 = 58; Q2 = 68; Q3 = 75

Answers

Answer:

its either b or d not 100% sure though so im sorry if im wrong

Use the equation below to find c, if a = 43 and b = 49. c=180-a-) ?​

Answers

Answer:

88

Step-by-step explanation:

43 + 49= 92.

Then 180 - 92= 88

C= 88

simplify 5x+ 1 2 +3y+ 1 4 +2x−2y

Answers

Answer:

7x + y + 26

Step-by-step explanation:

5x+ 1 2 +3y+ 1 4 +2x−2y

5x + 2x + 3y - 2y + 12 + 14

7x + y + 26

Can someone please help me with math.

Answers

Answer:

b

Step-by-step explanation:

Need help with this question

In picture above

Answers

Answer:

Solution given:

Cos -θ:[tex]\frac{\sqrt{3}}{4}[/tex]

since cos -θ=Cos θ

Cos θ :[tex] \frac{\sqrt{3}}{4} [/tex]

[tex]\frac{\sqrt{b}}{h} [/tex]=:[tex] \frac{\sqrt{3}}{4} [/tex]

b=[tex]\sqrt{3} [/tex]

h=4

p=[tex] \sqrt{4²-(\sqrt{3})²} [/tex]=[tex] \sqrt{13}[/tex]

So

Sin θ=[tex]\frac{p}{h} [/tex]=[tex]\frac{\sqrt{13}}{4} [/tex]

So third one is a required answer.

A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8per month now, in about how many years will it take to reach $20 per month

Answers

Answer:

6 years

Step-by-step explanation:

is the answer

What is the common ratio?
5, -10, 20, -40, 80
What is the 15th term of the sequence?

Answers

Step-by-step explanation:

Use the above formula

-5 is the difference between the numbers..

hope you understood..

find the volume of the composite solid figure
(picture provided of the shape)​

Answers

Answer:

Road shimmer

Wiggling the vision

Heat heat waves

I'm swimming in a mirror

Road shimmer

Wiggling the vision

Heat heat waves

I'm swimming in a

Sometimes, all I think about is you

Late nights in the middle of June

Heat waves been faking me out

Can't make you happier now

Sometimes, all I think about is you

Late nights in the middle of June

Heat waves been faking me out

Can't make you happier now

Usually I put

Something on TV

So we never think

About you and me

But today I see

Our reflections

Clearly in Hollywood

Laying on the screen

You just need a better life than this

You need something I can never give

Fake water all across the road

It's gone now the night has come but

Sometimes, all I think about is you

Late nights in the middle of June

Heat waves been faking me out…

How many solutions does this equation have?
a + 3 + 2a = -1+ 3a + 4

Answers

Answer:

Infinite

Step-by-step explanation:

Hope that this helps!

Answer:

Step-by-step explanation:

2 or 3 im not v sure tho

List a positive and negative number whose absolute value is greater than 3?​

Answers

Answer: |5|, |-6|, |4|, |-3.5|

Step-by-step explanation: The absolute value is related with the distance between the number and the zero of the number line, then each number greater than 3 will have an absolute value greater than 3, as we can see in the picture, the numbers positive or negative will have a positive distance to the origin of the number line.


Find the scale factor of the similar shapes below.

Answers

Answer:

x=12 and the scale factor is 1.5

Step-by-step explanation:

From D' to F' is 7.5 and from D to F is 5cm the difference is 2.5. From F' to E' is x and from F to E is 8. This is just understanding what you can see. You find x by figuring out the ratio from 5 to 7.5 is and 8 to x or vise versa.  It depends which way you are going. I think you are going from E,D,F to E',D',F'. So from 5cm to 7.5 cm. This is 1.5 because you are dividing 7.5/5. If you needed to find x, it would be 12.

(d) Which athlete had a greater median distance?
A or b

Answers

Answer:

I think athlete B has the greater median distance

Which side lengths form a right triangle? please help

Answers

In a right triangle, the side that is opposite of the 90° angle is the longest side of the triangle, and is called the hypotenuse. The sides of a right triangle are commonly referred to with the variables a, b, and c, where c is the hypotenuse and a and b are the lengths of the shorter sides.

you should square each of the smaller numbers and add them together. after that square the bigger number. if the results gotten is equivalent, it is a right angled triangle. feel free to clarify. I used pythagoras theorem to solve this btw


60 yd
63 yd
What is the length of the hypotenuse?

Answers

Answer= 87
You need to square root 60^2 + 63^2

An outboard motor on a boat has a cord to pull to start it. Advertisements boast that the motor "Starts on the first pull, every time!” In reality, the motor has a 95% chance of starting on each pull. A customer wants to know how many times he will have to pull the cord to start the motor.

Is it appropriate to use the geometric distribution to calculate probabilities in this situation?

Yes, the geometric distribution is appropriate.
No, since each trial is not independent of the other trials.
No, because it is not looking for the first occurrence of success.
No, since the probability of success is not the same for each of the trials.

Answers

Answer:

b i think.

Step-by-step explanation:

Answer: A.  Yes the geometric distribution  is  appropriate

Step-by-step explanation:

got it right on edge

what 12+9
A 99
B 4
C 0

Answers

Answer:

d 21xysxhducux6cyvivivi

Which fraction is equivalent to 3

Answers

There are no fractions to choose from? If it’s a FRQ you can use 3/1 or 6/2
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