The height above ground of a cannon is a function of the time since it was shot.
Question: When time equals 0, why is the height of the cannon ball not equal to 0? Describe the domain of this function. Describe the range.

The Height Above Ground Of A Cannon Is A Function Of The Time Since It Was Shot.Question: When Time Equals

Answers

Answer 1

At t = 0 the height is not zero because the cannonball is at the end of the barrell of the cannon.

If we define H as the maximum height and T as the time when the cannonball hits the ground, the domain and range are:

domain: [0, T]

range: [0, H]

When time equals 0, why is the height of the cannon ball not equal to 0?

The height is modeled by the graphed parabola.

The height equal to zero would mean that the cannonball is on the ground. Now, at t = 0 we assume that the cannonball is leaving the barrel of the cannon (which is at some given height above the ground). This is why at t = 0 the height of the cannonball is not equal to 0.

Now we also want to describe the domain and range of the graphed function. The domain is the set of the inputs of the function, we can see that it goes from t = 0, when the cannonball is shooted, to a given time T which is when the cannonball reaches the ground.

For the range (the set of the outputs) we can see that it will go from 0 (the ground) to the maximum value that we can see in the graph, a height H.

So, domain: [0, T]

      range: [0, H]

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Related Questions

y[tex]x^{2}[/tex]=8y

I just need helping solving this please

Answers

The value of x from the equation is  2√2

What are linear equations?

Linear equations are equations with one or two variables.

It is also important to note that the highest power of variable is 1

Given the equation;

yx² = 8y

Let's make 'x' the subject of the equation

Divide both sides by y, we have;

yx²/y = 8y/ y

x² = 8

Take the square root of both sides

(√x²) = √8

The square root takes the square, we have

x = √8

x = √4 × 2

x = 2√2

Thus, the value of x from the equation is  2√2

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What is the value of the expression 8(-6.3)

Answers

50.4 is the answer hope this helped!

Answer:

-50.4

Step-by-step explanation:

¿Qué parentesco tiene conmigo un joven que es el hijo de la esposa del único hijo de mi abuela?

Answers

Answer:

I would love to help but I cant speak spanish.

Maybe try posting this again just in english then I will answer!

Answer:

Because He is your grandmothers only child

Step-by-step explanation:

which makes him your Cousin I think.

A textbook store sold a combined total of 232 physics and math textbooks in a week. The number of physics textbooks sold was three times the number of math textbooks sold. How many textbooks of each type were sold?

Answers

The number of physics textbook is 174 and maths textbook is 58.

How to calculate the value?

Let the number of maths textbook = x

The number of physics textbook = 3x

Therefore, the expression will be:

3x + x = 232

4x = 232

Divide

x = 232/4

x = 58

Physics textbook = 3x = 3 × 58 = 174

Therefore, the number of physics textbook is 174 and maths textbook is 58.

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A virus takes 13 days to double its original population (A=2A_0). How long will it take to triple its population? Round to the nearest tenth.

Answers

Answer:

20.6

Step-by-step explanation:

A virus takes approximately 20.6 days to triple its original population.

What is the formula of exponential growth?

"[tex]f(x)=ab^x[/tex],

where a is the initial value

b is the growth rate

x is time. "

For given question,

Suppose the function for the population growth is,

[tex]A(t)=A_0\times b^t[/tex]                         .........(1)

For t = 13, the population growth of virus would be,

[tex]\Rightarrow A(13)=A_0\times b^{13}[/tex]                  ..........(2)

But we have been given that a virus takes 13 days to double its original population.

[tex]\Rightarrow A(13)=2\times A_0[/tex]                      .........(3)

From (2) and (3),

[tex]\Rightarrow A_0\times b^{13}=2\times A_0\\\\\Rightarrow b^{13}=2\\\\\Rightarrow b=1.0548[/tex]

We need to find the number of days  to triple its original population

[tex]\Rightarrow A(t)=3\times A_0[/tex]                   ...........(4)

From (1) and (4),

[tex]\Rightarrow A_0\times b^t=A_0 \times 3\\\\\Rightarrow (1.0548)^t=3\\\\\Rightarrow t=20.6[/tex]

Therefore, a virus takes approximately 20.6 days to triple its original population

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Evaluate the expression for y=3.8, y=5, and y=5.6.
y=4

Answers

Answer:(a) x - 0.7 = 1.5

Step-by-step explanation:

Determine whether each of the following is a solution of x − 0.7 = 1.5: (a) x = 1 (b) x = −0.8 (c) x = 2. Step 1. Substitute the number for the variable in the equation.

Step 2. Simplify the expressions on both sides of the equation.

Step 3. Determine whether the resulting equation is true.

If so, the number is a solution.

If not, the number is not a solution.

It’s not 4 feet of snow that is 60% of snow that will fall. how much snow will fall??

Answers

Answer:

60% of snow

Step-by-step explanation:

60% = 4 Feet
Divide by 6
10% = 0.67 feet
Multiply by 10
100% = 6.67 Feet

The answer is 6.67 feet.

Mark shoveled 18 ton of gravel in 14 hour. What was his average rate of shoveling in tons per hour?

Answers

Answer:

1.2

Step-by-step explanation:

Please give an example of Ratios, Integers, and Unit Rate.
Also, of course, you will receive Brainliest!!

Answers

Answer:

ratio- 1:6

integer- (any whole number)

unit rate- 1 per minute

Step-by-step explanation:

if you need sentence examples:

there are 70 pies. 10 of them are cherry and 60 of them are apple. what is the ratio of cherry to apple pies? answer- 1:6

integer is any whole number so you can use 1, 2 , 3 , etc.

a girl has been reading for 30 minutes. so far she has read 30 pages. what is her pace as a unit rate? (unit rates are any number over 1 so it would be 1/1)

What are two ways that you can earn income without working?

Answers

Answer:

How to Make Money Without a Job:

Get paid to test websites.Become a crowdworker.Design and sell t-shirts.Work as a transcriber.Shop for others.Sell crafts online.Get paid to pet sit.Sell your photos online.

Jeremy's work to solve the equation
-3x+1
2
2x – 10 is shown below.
Step
Work
Justification
1
-3.1+1
2
= 2x – 10
2
-3x +1 = 4x – 20
3
–7x + 1 = –20
4
72 = -21
5
= 3
Identify the mathematical properties Jeremy uses to justify his steps.

Answers

Answer:

C

Step-by-step explanation:

The following are mathematical properties that justifies each step Jeremy made:

✔️Step 1: Given

Jeremy simply stated the given equation.

✔️Step 2: Multiplication Property of Equality

Jeremy multiplied both sides of the equation by 2

✔️Step 3: Subtraction property of equality

4x was subtracted from both sides

✔️Step 4: Subtraction property of equality

1 was subtracted from both sides

✔️Step 5: Division property of equality

Both sides were divided by -7

Will Give Brainliest, Question is attached.

Answers

Answer:

The answer is in the photo

Hope i helped. :)

Btw it was cut off

Step-by-step explanation:

In an aquarium,
the number of minnows and the number of clown fish are in the ratio 8:3
the number of clown fish and the number of gold fish are in the ratio 6: 11
There are 33 gold fish in the aquarium.
How many minnows are there in the aquarium?

Answers

There are 48 minnows in the aquarium and there are 18 clownfish in aquarium

Given that in an aquarium ratio of minnows and clown fish is 8:3 and the ratio of clownfish and goldfish are in ratio 6:11 and there are 33 gold fishes in the aquarium.

⇒[tex]\frac{6}{11} =\frac{x}{33}[/tex] ( Here x is the number of clownfish)

⇒x=6×3

⇒x=18

Therefore, The number of clownfish in the aquarium is 18

Now,[tex]\frac{8}{3} =\frac{y}{18}[/tex](Here, y is the number of minnows in an aquarium)

⇒y=8×6

⇒y=48

Therefore, The number of minnows in the aquarium is 48

Therefore,The number of minnows in the aquarium is 48 and The number of clownfish in the aquarium is 18

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You purchase a new sweater for $35. The original
price was $50. What was the percent change of the
price of the sweater

Answers

it is 30% off. 30% of 50 is 35$

allison withdrew $7 from her savings account every day. if she continued to do this for a total of 5 days, find the integer that would represent the change in the value of her savings account.

Answers

Answer:

umm im not sure if this is the answer but i believe it would be -$35

Step-by-step explanation: -7 x 5

USING ALL MY POINTS! PLEASE HELP, AND SHOW/EXPLAIN UR WORK!

A city has a record low temperature of -27 degrees Fahrenheit and a record high temperature of 12 degrees
Fahrenheit for the month of January. Write an inequality to correctly compare the high and low January temperatures for this city.

Answers

Answer:

-27 minus 12 = -39 if that's what you're asking.

Step-by-step explanation:

3) If the values are equal to zero, or increase and decrease, or stay the same, the variables have a(n) ________ relationship.
undefined
direct
inverse

Answers

Answer: it is 4 over 8 and undefined as the direct inverse of mathematical theory of bill nye the science guy *music starts playing*

Step-by-step explanation:

0=x^2+4x+1 Rewrite the equation by completing the square

Answers

Step-by-step explanation:−

x

2

4

x

1

=

0

x
=
±

3

2
Is the correct answer to your question

What are the vertex and range of y = x + 1 + 3?
(0, 4); - (0, 4); 3 ≤y <∞
(-1,3); - O(-1, 3); 3 ≤y<∞

Answers

The vertex and range of the given function is y = x + 1 + 3 is (0, 4); - (0, 4); 3 ≤ y ≤ ∞.

What is Domain and Range?

The Domain of a function is the set of all possible values that a function satisfies.

The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we put an x value in.

Now the given function is,

y = (x + 1) + 3

or, y = x + 4

Now to find the y coordinate of vertex,

put x = 0 in the given function is,

Thus, we get

y = 4

So, the vertex of the given function is

y = x + 1 + 3 is (0, 4); - (0, 4).

Now for range,Put (x + 1) = 0 in the given function

Thus we get,

y ≤  ∞

and y ≥ 3

Thus the range of the given function will be,3 ≤ y ≤ ∞

Thus, the vertex and range of the given function is y = x + 1 + 3 is (0, 4); - (0, 4); 3 ≤ y ≤ ∞

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What is the area of the kite?

Answers

Answer:

90 ft

Step-by-step explanation:

first you find the area of the 10 by 3 triangle, since on the other side it,s the same, all we need to do is find one of each triangle then mulitply it by 2 to get the area. then find the area of the 20 by 3 triangle. once you do that you will get 45, then you multiply it by 2 because it is the exact same on the other sides. then when you do that you get 90 ft. I hope this helps you! peace out.

Use the graph to answer the question. Which of the following points would be a solution
My options are
(1,3)
(-1,-4)
(1,-4)
(-1,3)

Answers

Answer:

(1,3)

Step-by-step explanation:

Only point that lies in the blue area.

Answer:

(1,3)

Step-by-step explanation:

the solution must be in the shaded area and it is the only option within the shaded area

ayee someone help pleasee

Answers

Answer:

Both are solutions of x.

Step-by-step explanation:

[tex]x^{2} =49[/tex]

For [tex]x^{2} =f(a)[/tex] the solutions  are [tex]x=\sqrt{f(a)} ,-\sqrt{f(a)}[/tex]

[tex]x=\sqrt{49} ,x=-\sqrt{49}[/tex]

[tex]\sqrt{49}[/tex]

Factor  the number: [tex]49=7^{2}[/tex]

Apply radical rule: [tex]\sqrt[n]{x^n} =a[/tex]

[tex]\sqrt{7^2} =7[/tex]

=7

[tex]-\sqrt{49}[/tex]

Factor the number: [tex]49=-7^2[/tex]

Apply radical rule: [tex]\sqrt[n]{x^n} =a[/tex]

[tex]-\sqrt{7^2}=7[/tex]

[tex]=-7[/tex]

Can someone help me solve this math problem?

-6 - (-13)

Answers

Answer:

7

Step-by-step explanation:

-6 + 13

7

-*-=+

The answer would be 7

Refer to the graph to estimate x when f(x)= 7/2

Answers

Answer:

x = 4

Step-by-step explanation:

We are asked to find the value of x when [tex] \frac{7}{2} [/tex].

Note that [tex] f(x) [/tex] is also y.

What this means is, what is the value of x when y = 7/2 = 3.5.

On the graph given, trace where y = 3.5. check the x-value that corresponds with it on the point on the line.

Thus, at y = 3.5, x = 4.

Therefore,

x = 4, when [tex] \frac{7}{2} [/tex].

need help asap will give brainliest ​

Answers

horizontal shift: 3 units to the left
vertical shift: 4 units down

Answer: theirs ^

Step-by-step explanation:

People who are illegally parked in downtown Orlando may be issued $15 or $20 parking
tickets. At the end of the week, Officer Bob had issued 41 parking tickets that totaled
$655 in fines. How many $15 tickets and how many $20 tickets did Officer Bob write?

Answers

Answer:

$15 tickets - 33, $20 tickets - 8

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

Let the number of $15 tickets is x and numbers of $20 tickets is y.

Set the system according to given information:

x  + y = 4115x + 20y = 655

Solve by elimination, multiply the first equation by 20 and subtract the second equation:

20x + 20y - 15x - 20y = 41*20 - 6555x = 165x = 165/5x = 33

Find y:

33 + y = 41y = 41 - 33y = 8

7th- Grade question is super easy trust me
8. A bottle contained 3 7/12 cups of juice. Then Mark drank 1 1/6 cups of the

juice. How much juice was left in the bottle?

A. 2 1/12 cups

B. 2 1/6 cups

C. 2 5/12 cups

D. 2 5/6 cups

Answers

Answer:

C

Step-by-step explanation:

3 7/12 - 1 1/6

1. Change 1 1/6 into the same denominator as 3 7/12.

3 7/12 - 1 2/12

2. Subtract whole numbers.

3 - 1 = 2

3. Subtract the fractions.

7/12 - 2/12 = 5/12

4. Answer is 2 5/12 (C).

hope this helps :)

Given:
p: x is greater than 20.
q: x is divisible by 5

What is a value of x that makes p or q true?

16
99
19
12

Answers

Answer:

99

Step-by-step explanation:

Since the question is or, we only need to answer one. For q, there is of course no answer that will not end the division in decimals. So lets move on to p. The only number that is greater than 20 is 99. Also, 99 is divisible by 5, it will just end in decimals. So the answer is 99.

I need help please!:D

Answers

Answer:

30

Step-by-step explanation:

Answer: It would be 30

Step-by-step explanation: When you divide 8 by 240, you get 30, divide the inside of the bar by the outside for questions like these, 240/8.

You have a rock with a volume of 15 cm3 and a mass of 45 g. What's its density?

Answers

The formula for density is d = m/v.

d = density

m = mass

v = volume

The volume of the rock is 15 cubic centimeters.

The mass of the rock is 45 grams.

Now just plug these into the formula and solve.

d = 45/15.

45/15 = 3.

The density of the rock is 3 grams per cubic centimeters.

Given:

Mass of the rock = 45 g

Volume of the rock = 15 cubic cm

Formula:

Density = Mass / Volume

Explanation:

By putting the respected values, we get

Density = 45 g / 15 cubic cm = 3 gram/cubic centimeter

Answer:

Density of the rock is 3 gram/cubic centimeter.

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