A satellite 200 miles above the earth is orbiting the earth once every 6 hours. How far does the satellite travel in 1 hour?
(Assume the radius of the earth is 4,000 miles.) Give your answer as both an exact value and an approximation to three significant digits

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Speed is the ratio of total distance travelled to total time taken to cover distance.

The radius of the orbit = radius of earth + height of satellite from earth = 4000 miles + 200 miles = 4200 miles

The total distance around the orbit = perimeter of orbit = 2π(radius of orbit) = 2π(4200) = 8400π miles

[tex]Speed=\frac{distance \ traveled}{time\ taken} =\frac{8400\pi\ miles}{6\ hours} =1400\pi\ miles/hour\\\\Distance \ traveled\ in \ 1\ hour=1400\pi\ miles/hour*1\ hour=1400\pi\ miles=4398.23\ miles\\\\Distance=4398\ miles[/tex]


Related Questions

HURRYYYY PLSSSSS IM TIMED

Which equation represents the number of books (b) a student reads each week (w) if the student reads 3 books each week? How many books will the student read in 18 weeks?

Question 3 options:

A)

w = 3b; 18

B)

b = 3w; 18

C)

w = 3b; 54

D)

b = 3w; 54

Answers

A because the week would be equal to the 3 books he read

What is the slope of a line that is perpendicular to the line y =-1/5

Answers

Answer:

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. Using the slope-intercept form, the slope is 0 0 . All lines that are parallel to y=−15 y = - 1 5 have the same slope of 0 .

The function f(x) = 4x – 0.1x2 is used to model the curve of a bridge over a small river, where x is the distance from one side of the river and the x-axis represents the ground. The mathematical range for the function is the set of real numbers. Which statement describes the limitation for the reasonable range compared to the mathematical range? The limitation for the reasonable range restricts it to positive real numbers. The limitation for the reasonable range restricts it to positive whole numbers. The limitation for the reasonable range restricts it to real numbers greater than or equal to 0 and less than or equal to 40. The limitation for the reasonable range restricts it to whole numbers greater than or equal to 0 and less than or equal to 40.

Answers

Answer:

x ∈ R ( 0 , + ∞ )

Step-by-step explanation:

In the function:

F(x) = 4*x -0,1*x²

The domain of  F(x) is all the set of real numbers

R ∈ ( -∞ , +∞ )

values for F(x), can be found from negative and positive values of x

for instance for:

x = -2          F(x) = 4*(-2) - 0,1 * (-2)²        F(x) = - 8,4

x = 2           F(x) = 4*(2) - 0,1 * (2)²           F(x) = 7,6

But distance x could not be negative ( there is not negative distance in the real world), therefore the reasonable range restricts values of x only to positive values.

Then x can be any number x ≥ 0  ( distance could be 0 )

Answer:

C) The limitation for the reasonable range restricts it to real numbers greater than or equal to 0 and less than or equal to 40.

Step-by-step explanation:

its right on edg

Travis has won 9 snowboarding competitions.
He wants to display his trophies on a shelf.
How many different ways could he arrange
the trophies on the shelf?
A. 9
B. 72
C. 81
D. 362,880

Answers

The answer is D, it’s a lot to explain just trust me.

Then find MN.

LM = 5

MN = x - 4

LN = 2x– 11

equation:

MN =

Answers

Answer:

[tex]MN = 8[/tex]

Step-by-step explanation:

Given

[tex]LM = 5\\MN = x - 4\\LN = 2x - 11[/tex]

Required

Determine MN

MN is calculated as thus:

[tex]LN = LM + MN[/tex]

Make MN the subject

[tex]MN = LN - LM[/tex]

Substitute values for MN, LN and LM

[tex]x - 4 = 2x - 11 - 5[/tex]

[tex]x - 4 = 2x - 16[/tex]

Collect Like Terms

[tex]x - 2x = -16 +4[/tex]

[tex]-x = -12[/tex]

[tex]x= 12[/tex]

Substitute 12 for x [tex]MN = x - 4[/tex]

[tex]MN = 12 - 4[/tex]

[tex]MN = 8[/tex]

HELP PLEASE !
10 points !!

What is the slope of the function?

Answers

Answer:

the answer is -4 because the Y values are going down 4 at a time.

A line with a positive slope is perpendicular to one of the lines shown. What is its slope? Use the graph
shown below.
The slope is

Answers

Answer:

¾

Step-by-step explanation:

The line that slants upward from left to right is a positive slope, while the line that slants downwards from left to right is a negative slope.

Therefore, the blue line would have a positive slope. Since the blue line with a positive slope is perpendicular to the red line with a negative slope, therefore, the slope of the line with a positive slope that we are looking for and that is perpendicular to one of the lines (red line) would be the same with the slope of the blue line.

The slope of the blue line is calculated as shown below:

Use the coordinates of these two points on the blue line to find the slope, (0, 1) and (4, 4)

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{4 - 0} [/tex]

[tex] slope(m) = \frac{3}{4} [/tex]

The slope of the line we are looking for is ¾.

Answer:

3/4

Step-by-step explanation:

Suppose that you are attempting to estimate the annual income of 1700 families. In order to use the infinite standard deviation formula, what sample size, n, should you use

Answers

Answer:

Sample size should be less than 85

Step-by-step explanation:

Sample size should be less than 85

Step-by-step explanation:

To use the infinite standard deviation formula, n has to be <= (0.05)(1700)

n <= 85

So the sample size has to be less than 85

In another way too,

n = sample size

N = population size

For population, we multiply correction factor to the infinite standard deviation

F is <= 0.05

[tex]n/{N} <0.05[/tex]

n<0.05x1700

n<85

Sample size should be less than 85

State whether the given pair of sets are equal, equivalent, both, or neither. {0,9}; {8, 1)​

Answers

Answer:

Equivalent

Step-by-step explanation:

A set is a well defined collection of objects.

Two sets are said to be equal if they have the same elements.

Two sets are said to be equivalent if they have the same number of elements.

Given sets are [tex]\{0,9\}\,,\,\{8,1\}[/tex]

These sets are not equal as both the sets have different elements.

Order of both the sets is 2 (number of elements in both sets is 2)

So,

these two sets are equivalent.

Please help me on this problem

Answers

Answer:

the y intercept is 3 and the x intercept is 6

Step-by-step explanation:

A research center is interested in investigating the height and age of children who are between 5 to 9 years old. In order to do this, a sample of 15 children is selected and the data are given below. Age (in years) Height (inches) 7 47.3 8 48.8 5 41.3 8 50.4 8 51 7 47.1 7 46.9 7 48 9 51.2 8 51.2 5 40.3 8 48.9 6 45.2 5 41.9 8 49.6 How much of the variation in the sample values of height does the model estimate

Answers

Answer:

0.940

Step-by-step explanation:

Given the data:

Age in years(X) _____Height(Y)

7 _________ 47.3

8 _________48.8

5 __________41.3

8 _________ 50.4

8 ___________51

7 __________47.1

7 __________46.9

7 ___________48

9 __________51.2

8 __________51.2

5 __________40.3

8 __________48.9

6 __________45.2

5 __________41.9

8 __________49.6

The proportion of Variation explained by the line of best fit in a regression model can be determined by calculating the Coefficient of determination (R²) of the model.

Using the online R² calculator, the variation in the sample values of height which is estimated by the model is 0.9696² = 0.94012416.

Hence about 0.94 or 94% variation in sample values of height is estimated by the model while (1 - 0.94 = 0.06 or 6%) is explained by other factors.

Need help i will mark you brainliest

Answers

They are congruent b/c they the sides of the two shapes are equal as well as the angles. Hope that helps !

The distance from a point to two is five units. The point could be located at

-7

-6

6

-3

NEXT QUESTION

O ASK FOR HELP

Answers

Answer:

The correct answer is -3

Step-by-step explanation:

attached is a number line to show diagrammatically how to count five units from the chosen point to point 2 on a number line.

Moving five units from -3 to 2 on a number line is given as follows:

-3 ⇒ -2 ⇒ -1 ⇒ 0 ⇒ 1 ⇒ 2

From the motion expression shown above, moving from -3 to 2 involves moving 5 units.

another way of determining the correct answer is to find the difference in interval between the two points as shown below:

Let the point be x

2 - x = 5 units

2 - 5 = x

∴ x = -3

Answer:

-3

Step-by-step explanation:

it was on quiz baby

Liam has this spinner.
red
green
blue
yellow
red
green
blue
red
Liam will spin the pointer one time.
What is the probability that the pointer will land on red?

Answers

3/8

There is 8 sections of the spinner and 3 are red. No need to simplify

You have two chances to draw from a normal pack of 52 playing cards. What is the probability of drawing an ace on the second attempt if the first card (which you did NOT put back in the pack) was not an ace

Answers

Answer:

The probability is  [tex]P(k) =0.07843[/tex]

Step-by-step explanation:

From the question we are told that

   The total number of cards is  n  =  52

Generally the number of ace in a standard deck of cards is  k  =  4

Generally the the first card drawn is not an ace so the remaining number of ace after the first card is drawn is  k =  4

also the remaining total number of cards after the first card is drawn is

     N =  n- 1

=>  N =  52 - 1  

=>  N =  51

Generally the probability of drawing an ace on the second attempt if the first card (which you did NOT put back in the pack) was not an ace is mathematically represented as

        [tex]P(k) =\frac{k}{N}[/tex]

=>      [tex]P(k) =\frac{4}{51}[/tex]

=>      [tex]P(k) =0.07843[/tex]

Mai works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?

Answers

Answer:$94.50

Step-by-step explanation:5% of 50 is 2.5 and 5% of 40 is 2 so the math you would do is 50+40+2.5+2 which equals $94.50.

if 1/4 of a number is 7 what is the number

Answers

Answer:

28

Step-by-step explanation:

7*4

If you roll a die once, what is the probability of rolling a 3?

Answers

Answer:

1/6

Step-by-step explanation:

there are 6 sides, and 3 is one of the 6 sides. thus, the answer is 1/6

Answer:

1/6

Step-by-step explanation: there are 6 incomes and 1 number 3 in a die

Austin has $12 in his piggy bank and deposits 75 cents each week. Daniel has has $15 and deposits 50 cents each week

Answers

Answer:

whats the question?

Step-by-step explanation:

show your work
answer:v/7= 8

Answers

Answer:

V=56

Step-by-step explanation:

7x8=56

56/7=8

Answer:

v=56

Step-by-step explanation:

1 Multiply both sides by 77.

v=8\times 7v=8×7

2 Simplify  8\times 78×7  to  5656.

v=56

NEED HELP PLEASE ANSWER

Answers

Answer:

I think its 1430 miles

Step-by-step explanation:

1430 miles he was right

Jillian has been updating the design of a media streaming website. She wonders if users will spend more time on the site with the new design, so she designs a study. She starts with a random sample of 1,000 users and randomly assigns half of them to the old design and half of them to the new design. After a week, she notices that users with the new design spend significantly longer on the site than the users with the old design. Can we conclude that the new design caused users to spend more time on the site? Why? Choose 1 answer: A)Yes because the sample size was large, B) Yes, because the users were randomly assigned to treatment and control groups, C) Yes, because the users were randomly selected, D) Not necessarily, because the sample size was too small, E) Not necessarily, because this wasn’t an experiment.

Answers

Answer:

Yes, because the users were randomly assigned to treatment and control groups

Step-by-step explanation:

Random assignment to treatment and control groups makes this study an experiment, so we can make causal conclusions.

Answer:

C:  Yes, because the users were randomly selected

Step-by-step explanation:

Got it right on USATP.

Hope this helps!

From: Aug1e

(1 point) Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the following data: Assume that the suburb has a population of 320000 and is growing at a rate of 5000 per year. Assume that the city has a population of 624000 and is declining at a rate of 14000 per year. In how many years will the populations of the suburb and the city be equal

Answers

Answer:

16 years

Step-by-step explanation:

Let x represent the number of years. The suburb population is growing at a rate of 5000 per year after x years, it can be represented by the equation:

320000 + 5000x

The city population is declining at a rate of 14000 per year after x years, it can be represented by the equation:

624000 - 14000x

The number of years for the city and suburb population to be equal can be gotten from:

320000 + 5000x = 624000 - 14000x

14000x + 5000x = 624000 - 320000

19000x = 304000

x = 304000 / 19000

x = 16

In 16 years the populations of the suburb and the city be equal

Find the value of x. The diagram is not to scale.

Someone help please!!​

Answers

Answer:

angle T = 114

Step-by-step explanation:

SRT = STR

angle R = angle T

angle R = 33°

so angle R and angle T = 33°

all angles on a triangle = 180°

so

angle R + angle S + angle T = 180°

and angle R and S = 33° so subtitute...

33 + 33 + T = 180

then solve:

66 + T = 180

-66         -66

T = 114

mathy way:

SRT = STR                 Given

SRT = 33                   Given

33 = STR                   Substitution Property of Equality

STR = 33                  

R + S + T = 180°        Deffinition of triangle

33 + 33 + T = 180     Substitution Property of Equality

66 + T = 180             Addition

T = 114                       Subtraction Property of Equality

Help I will award brainliest help asap! Uwu: If a man can run p miles in x minutes, how long will it take him to run q miles at the same rate?

Answers

Answer:

Speed= Dist/time= p/x miles per minute

Time to run q miles=q divided by p/x= qx/p minutes

Step-by-step explanation:

I don’t know exactly what you’re asking here but a relative equation that can be used if you have either p or q is p/x=q/x.

Help me plssss I'm confused ​

Answers

Answer:

The first graph .. I am most likely right.

Step-by-step explanation:

Hope i helped.

Lines I and M are parallel.
What is the measure of angle 3?

Answers

Answer:

25

Step-by-step explanation:

By the vertical angle theorem, we can find that:

m∠1 = 85

By the corresponding angle theorem, we can find that:

m∠2 = 2x

By the alternate interior angle theorem, we can find that:

m∠3 = x - 10

We also know that angles 1, 2, and 3 are the measures of the angles of a triangle. So:

85 + 2x + (x - 10) = 180

Lets solve for x. Combine like terms.

75 + 3x = 180

Subtract 75 from both sides.

3x = 105

Divide both sides by 3.

x = 35

So now we know that x + 35. Knowing this, we can find the measure of angle 3 by plugging 35 for x in x - 10

m∠3 = 35 - 10 = 25

So the measure of angle 3 is 25.

I hope this helps. Happy studying.

Convert the following decimal numbers to BCD and add them. Convert the result back to decimal to check your answer
(a) 8
(b) 43
(c) 12 + 16
(d) 47 +38
(e) 36 +22
(f) 80 + 23 + 72
(g) 12 +89
(h) 99

Answers

Answer and Step-by-step explanation:

Solution:

(a) 8 + 3

Convert into BCD:

8 = 1000

3 = 0011

Add them:

8 + 3 = 11

1000 + 0011 = 1011

Answer is correct.

(b) 43 + 72

Convert into BCD:

43 = 0100 0011

72 = 0111 0010

Add them:

43 + 72 = 115

0100 0011 + 0111 0010 = 0001 0001 0101

(c) 12 + 16

Convert into BCD:

12 = 0001 0010

16 =0001 0110

Add them:

12 + 16 = 28

0001 0010 + 0001 0110 = 0010 1000

00101000 = 00101000

Hence Answer is correct.

(d) 47 + 38

Convert into BCD:

47 = 0100 0111

38 =0011 1000

Add them:

47 + 38 = 85

0100 0111 + 0011 1000= 1000 0101

(e) 36 + 22

Convert into BCD:

36=0011 0110

22=0010 0010

Add them:

36 + 22 = 85

0011 0110 + 0010 0010 = 1000 0101

(f) 80 + 23 + 72

Convert into BCD:

80 =1000 0000

23 = 0010 0011

72 = 0111 0010

Add them:

80 + 23 + 72 =175

1000 0000 +0010 0011+ 0111 0010 = 0001 0111 0101

(g) 12 + 89

Convert them into BCD:

12 = 0001 0010

89 = 1000 1001

Add them:

12 + 89 = 101

0001 0010 + 1000 1001 = 0001 0000 0001

(h) 99

Convert into BCD:

99 = 1001 1001

Two pools are being filled with water. To start, the first pool had 1850 liters of water and the second pool had 1334 liters of water. Water is being added to the first pool at a rate of 27 liters per minute. Water is being added to the second pool at a rate of 39 liters per minute. (a) For each pool, write an expression for the amount of water in each pool after x months. (b) Write an equation to show when the two pools would have the same amount of water.

Answers

Answer:

a)Total amount of water in pool 1 after x minutes = 1850+27x

Total amount of water in pool 2 after x minutes = 1334+39x

b) an equation to show when the two pools would have the same amount of water is 1850+27x= 1334+39x

Step-by-step explanation:

First Pool :

Initial amount of water in Pool = 1850 liters

Water is being added to the first pool at a rate of 27 liters per minute.

Amount of water added after x minutes = 27x

So, Total amount of water after x minutes = 1850+27x

Second Pool:

Initial amount of water in Pool = 1334 liters

Water is being added to the first pool at a rate of 39 liters per minute.

Amount of water added after x minutes = 39x

So, Total amount of water after x minutes = 1334+39x

Now to find  an equation to show when the two pools would have the same amount of water.

1850+27x= 1334+39x

1850-1334=39x-27x

516=12x

[tex]\frac{516}{12}=x[/tex]

43 =x

Hence

a)Total amount of water in pool 1 after x minutes = 1850+27x

Total amount of water in pool 2 after x minutes = 1334+39x

b) an equation to show when the two pools would have the same amount of water is 1850+27x= 1334+39x

The Empire State Building weights about 7.3 x 10 ^8

Answers

Answer:

730000000 lbs?

Step-by-step explanation:

Answer:

730000000

Step-by-step explanation:

7.3 x 10^8

Do exponents first. 10^ 8 is the same as 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10, which equals 100000000 x 7.3 = 730000000

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