Dalton built a linear model to show the height of a meteor falling to the Earth. The meteor starts at 100 km above the Earth's surface and falls at a rate of 20km per second. The x values represent the time in seconds and the y values represent the height of the meteor. What does the domain represent in context of the model?

Answers

Answer 1

Answer:

The domain represents the time of motion of the meteor as it falls from 100 km height above the Earth's surface at a speed of 20 km

Step-by-step explanation:

The given parameters from the question are;

The elevation of the meteor above the Earth's surface = 100 km

The rate at which the meteor falls = 20 km per second

The 'x' values represent the time in seconds and the 'y' values represent the meteor's height

Therefore, we have;

y = 100 - 20·x

The domain of a function is the set of inputs to the function

Therefore, the domain represent the time it takes the meteor to reach the given 100 km height above the Earth's surface

At the start x = 0 seconds

On the Earth's surface, y = 0, therefore;

0 = 100 - 20·x

x = 100/20 = 5

When the meteor just touches the Earth's surface x = 5 seconds

Therefore, the domain is 0 ≤ x ≤ 5.


Related Questions

Please answer this quick

Answers

I'm sorry but i can't really see the picture

Answer:

1/4

Step-by-step explanation:

pleaseeee explain !!!

Answers

A is the answer because if we want the unit rate we do

2/3÷2/3 and 15 1/5, we can turn 15 1/5 into a improper fraction first so 76/5 and we do 76/5 ÷2/3 which is equal to

76/5×3/2=114/5

114/5 simplifies into 24 4/5.

so Naomi can travel 24 4/5 gal per mile.

Hope this helps!

A rectangular banner covers an area of 2 7/8ft2. The length of the banner is 3/4ft. What is the width of the banner in ft?

Answers

Answer:

Width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft.

Step-by-step explanation:

Area of the rectangular banner = [tex]2\frac{7}{8}[/tex] square feet

                                                    = [tex]\frac{23}{8}[/tex] square feet

Area of rectangle is given by,

Area = Length × Width

Length of the banner = [tex]\frac{3}{4}[/tex] feet

From the formula,

[tex]\frac{23}{8}=\frac{3}{4}\times W[/tex]

W = [tex]\frac{\frac{23}{8} }{\frac{3}{4} }[/tex]

    = [tex]\frac{23}{8}\times \frac{4}{3}[/tex]

    = [tex]\frac{23}{6}[/tex]

     = [tex]3\frac{5}{6}[/tex] ft

Therefore, width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft

A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter, in meters, of the rectangle?
Your answer:
16 meters
32 meters
48 meters

Answers

48 meters is the answer

Answer:

24 800cm.

Step-by-step explanation:

Length in metres =12×100=12000cm

Perimeter. =2[l+b]

Perimeter. =2[12000+400]

Perimeter. =2×12400

Perimeter. =24 800cm

Perimeter. =24 800cm÷100

Perimeter. =24.8m

PLEASE GIVE BRAINLIEST

Practice identifying reflectional and rotati Which letters have 2 or more lines of symmetry? Check all that apply. here's the better one​

Answers

Answer:

O, H, X

Step-by-step explanation:

i did this on edg hope this helps

Answer:

O H X

Step-by-step explanation:

Find the angle relationship in the table

Answers

Answer: i can barely see that if you wanna make another pic i prolly can but i think 4 and 8 are a linear

Step-by-step explanation:

Does the mean or median best describe a typical value in the data set shown?19, 18, 19, 18, 19, 19, 1, 19, 18, 19, 18

Answers

Answer:

Probably mean.

Step-by-step explanation:

The median is the middle number (in this case, 19) and the mean is the average of all the numbers

If a triangle has a side length of 5 inches and another side length of 7 inches, which of the
following choices for the third side length will make a triangle?
a. 1 inch
b. 2 inches
c. 6 inches
d. 13 inches

Answers

Answer:

d. 13 inches

Step-by-step explanation:

When we need to solve the side length and length of triangles, we need to remember one thing.

Coming to a right triangle, there are two short sides and one long side, and the two short sides need to add up to something less than the one long side.

Therefore, since we know our two short sides, add them :

7in. + 5in.

= 12in.

Looking at the answers, we can point out that d. is greater than 12 inches, therefore making it the correct answer.

HELPPP ROUND TO THE NEAREST TENTH

Answers

8293 haha the owl and I will be in the

What is the percent of change from 800,000 to 600,000?

Answers

i'm pretty sure it's 75%

Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. Write and solve an inequality to find how many hours she will need to babysit to buy the dress. Interpret the solution.

Answers

she will need two more hours to buy the dress

This is how many hours you will need 5 hours

I need an answer ASAP!!

Answers

Answer:

x = 8

Step-by-step explanation:

because wy bisects XZ , XY and ZY are equal so ..

2x+3=3x-5

then x is 8❤

I'm about 90 percent sure that x is 8

............................

Answers

Answer:

Thaey are proportional

Step-by-step explanation:

A recent survey of 800 seventh graders from across the state shows 4 out there of 10 like to play paper football. How many students said they like to play paper football?

Answers

Answer:

320

Step-by-step explanation:

800 = 10

x = 4

800 x 4 = 10 x

3200= 10x

x = 320

please can someone help me it’s urgent i need it done by 8:00‼️

Answers

Answer: need to clam and not worry to much and study a lot to be come great and great at math

Step-by-step explanation: i try and i give it all i can and not give up

What is the geometric mean of 6 and 8?

Answers

Answer:

16 square root 6

Step-by-step explanation:

The geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]

What is geometric mean?

The geometric mean of two numbers [tex]x_1[/tex] and [tex]x_2[/tex] is given by the formula:

[tex]GM = \sqrt{x_1 \times \ x_2}[/tex]

The two given numbers are 6 and 8

That is, [tex]x_1=6[/tex] and [tex]x_2=8[/tex]

Substitute  [tex]x_1=6[/tex] and [tex]x_2=8[/tex] into the formula [tex]GM = \sqrt{x_1 \times \ x_2}[/tex]

[tex]GM=\sqrt{6 \times 8}[/tex]

Simplifying further:

[tex]GM=\sqrt{48} \\\\GM=4\sqrt{3}[/tex]

Therefore, the geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]

Learn more on geometric mean here: https://brainly.com/question/1311687

A chef at a restaurant uses 19 pounds of butter each day. About how many grams of butter does the chef use each day? use the conversion factors 16 ounces/1pound and 28.4 grams/1 ounce

Answers

Answer:

8,633.6 grams

Step-by-step explanation:

you do 16 times 19 because that will tell you how many ounces you have then you do 304 which is 16 times 19, 304*28.4 and there is your answer.

An urn contains 8 green and 9 white balls. Six balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 6 balls drawn from the urn are white? Round your answer to three decimal places.

Answers

Answer:

The probability is 0.022

Step-by-step explanation:

Firstly, we need to get the total number of balls in the urn

mathematically, we have this as ;

8 + 9 = 17

now, the probability of selecting a white ball will be the number of white balls divided by the total number of balls

Mathematically, we have this as 9/17

Now, since the event is carried out with replacement, the probability for the six times is the same

So, we have the probability as;

(9/17)^6 = 0.022

what is 3 13/20 as a decimal

Answers

Answer:

3.65

Step-by-step explanation:

solve simultaneously
2 log y=log 2 + log x
2 to power y = 4 to power x

Answers

Answer:

Step-by-step explanation:

hello : here is an solution

Help please I do not get it

Answers

3x+19 = 5x+33

3x= 5x+14

-2x=14

x= -7


y= 3(-7) + 19

y= -2

ANSWER:
(-7, -2)

Because both of the equations equal y, they also both equal eachother. Rearrange and solve for x, then plug it back in any of the equations to find the corresponding y value of the solution

2\0.1 x 10\10 = it would help me a lot

Answers

Answer:

The answer is1 thank you

Angles in circle solve for each variable

Answers

Answer:

Step-by-step explanation:

7/15 multiplied by 5/6

Answers

Answer:

The answer will be 35/36

Answer:

[tex]\frac{7}{18}[/tex]

Step-by-step explanation:

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

Mr. Davies plans to place an aquarium on a shelf in his living room. The length of the shelf is inches, and the aquarium is inches long. Which estimation is best for centering the aquarium on the shelf?

Answers

The question is incomplete as the length of the shelf and aquarium isn't given. However, steps to take in other to make the estimation of centering the aquarium on the shelf would be described.

Answer:

Kindly check explanation

Step-by-step explanation:

Let :

Lenght of shelf = x

Length of aquarium = y

Usually, the length of shelf will be > length of aquarium

The shelf will have the right and left hand side ;

Subtract Length of aquarium from length of shelf and divide the difference by 2 ;

(x - y) / 2 ; this will give the space or length left on either side of the shelf with the aquarium centered in the middle.

Hence, the aquarium should be placed at (x - y) / 2 meters either to the right or left of the shelf.

Just input the omitted values of shelf length and aquarium length to obtain the solution.

The value of an irrigational number expression is estimated to be between 18 and 19. Which could be the expression

Answers

the answer is A because 2 multiplied by 9 is 18

Which statement about the graphs is true? NEED HELP!
Graph A is a valid density curve because the part of the graph from 2 to 6 is below the horizontal axis.
Graph A is not a valid density curve because the part of the graph from 1 to 2 is above the horizontal axis.
Graph B is not a valid density curve because part of the horizontal axis has negative values.
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

Answers

Answer:

Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

Step-by-step explanation:

A density curve is a graph that shows probability.

There are a few properties that those curves have:

The curves are normalized, which means that the area inside the curve is always equal to 1  (or the 100% of possibilities).

And the probabilities are always defined with positive numbers between 0 and 1, which means that we can not have a density curve with elements below the horizontal axis.

From this, we can conclude that graph A is not a density curve (but neither of the two given options for graph A are correct, then we can discard these).

Now let's look at graph B.

We can see that all points are above the horizontal axis, so that is good.

Now let's compute the area inside the curve.

We can see two triangles, remember that the area of a triangle of base b and height h is:

A = (b*h)/2

To calculate the base in the image, just take the difference between the rightmost vertex and the left vertex.

The base of the left triangle is b = (-3 - (-5)) = 2, and the height is h = 0.25

Then the area is:

A1 = (2*0.25)/2 = 0.25

The base of the right triangle is b = (3 - (-3)) = 6, and the height is h = 0.25

Then the area of this triangle is:

A2 = (6*0.25)/2 = 0.75

If add these areas, we get:

Total area = A1 + A2 = 0.25 + 0.75 = 1

Total area = 1

So we have an area under the curve equal to 1, which means that graph B is a valid density curve.

And the correct option is then:

Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

Find the perimeter of the figure.​

Answers

Just add up all the sides

Answer:

97

Step-by-step explanation:

The perimeter is adding each side together, the equation is 3+33+15+33+3+10

Guys help me on this which is the correct answer:((

Answers

Answer:

A

Step-by-step explanation:

find x.

1. subtract 7 from 23 to get 16. then you dived 16 by -2 which gets you -8 so x is less than -8 :))

answer is D

remember to flip inequality sign when dividing by a negative

A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies. The city's animal shelters collectively house 1,485 dogs each year. About how many dogs in all of the city's animal shelters are puppies?

Answers

Answer: The number of dogs in all of the city's animal shelters is puppies = 270

Step-by-step explanation:

Given: A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies.

The city's animal shelters collectively house 1,485 dogs each year.

The number of dogs in all of the city's animal shelters is puppies = [tex]1485\times\dfrac{10}{55}=270[/tex]

Hence, The number of dogs in all of the city's animal shelters is puppies = 270

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