The distance between the Sun and each planet in our solar system varies because the planets travel in elliptical (oval) orbits around the Sun rather than completely circular ones.

Here is a table of the average distance and the variation in the distance for the five innermost planets in our solar system:

Average Distance and Variation
Planet Name Average Distance Variation
Mercury 36.0 million miles 7.39 million miles
Venus 67.2 million miles 0.43 million miles
Earth 93.0 million miles 1.55 million miles
Mars 142 million miles 13.2 million miles
Jupiter 484 million miles 23.2 million miles


"Average distance" means the mean distance that planet is from the sun over the course of its orbit, and "variation" means how far it varies from that mean. For example, if a planet had an average distance of 5 miles and a variation of one mile, it would have distances between 4 and 6 miles at different times.

a) Write and solve an inequality to represent the range of distances that can occur between the Sun and one of the planets from the table (your choice). Show your steps/process.

b) Why is this best represented as an inequality rather than an equation? Explain in at least 3 sentences.

Answers

Answer 1

Answer:

Hope this helps

Step-by-step explanation:

They describe how (1) planets move in elliptical orbits with the Sun as a focus, (2) a planet covers the same area of space in the same amount of time no matter where it is in its orbit, and (3) a planet's orbital period is proportional to the size of its orbit (its semi-major axis)

Answer 2

Answer:

because

Step-by-step explanation:

help with it dont know


Related Questions

y=7x−7z−9. Solve for x.

Answers

Answer:

x= < (y+9+7x)/7>

Step-by-step explanation:

first, add 9 to both sides of the equation. Then, subtract 7z on both sides and after that, divide by 7 for both sides.

Answer:

x=y+7z+9/7

Step-by-step explanation:

a square and an equilateral triangle have the same perimeter. Each side on the triangle is 1 inch longer than the side of the square. What is the perimeter of the square

Answers

Answer:

48 inches

Step-by-step explanation:

Given:

A square and an equilateral triangle have the same perimeter

Each side of the triangle is 4 inches longer than each side of the square.

What to find:

What is the perimeter of the square =?

Solution:

Let the side of the square be  

Then the side of the triangle will be  

The Perimeter of square = Perimeter of an equilateral triangle

=  

Subtracting both sides by  

side of the square,  = 12 inches

side of triangle will be , 12 + 4 = 16 inches

Now, the perimeter of the square =  

Therefore, the perimeter of the square is 48 inches.

and your pfp is so cute!!

Someone help please ill mark brainliest

Answers

Answer:

The answer is 10

Step-by-step explanation:

you would the Pythagorean theorem, which is: A squared plus B squared equals C squared. C is always the longer side, also known as the hypotenuse and A and B ae the legs, or the two shorter sides.

Answer:

x = 10

Step-by-step explanation:

8^2+ 6^2 = c^2

64 + 36 = 100

Then square root 100

so x=10

40.08 kilograms to grams

Answers

Answer:

40080g

Step-by-step explanation:

hope it helps

Answer:

40,080 grams

Step-by-step explanation:

kilograms to grams is always times 1,000 so 40.08 x 1,000 moves the decimal over 3 times for the three 0s. this gets you your answer: 40,080.

hope this helps :))

Identify the y-intercept

A. 0-2
B. 0-3
C. 0-4
D. 6-2

Answers

C. 0-4

Explanation: the line hits the y-axis at the point (0,4)

There are 16 boys and 4 girls in Ms. Joyner's 6th grade homeroom. What is the ratio of boys to students in Ms. Joyner's 6th grade homeroom?
5 to 3
4 to 5
5 to 4
4 to 1

Answers

Answer:

4 to 1

Step-by-step explanation:

4x4=16

4x1=4

Answer:

The answer is d.) 4 to 1

Given the definitions of f(x) and g(a) below, find the value of g(f(-3)).
f(x) = 2x + 6
g(x) = x² + x + 2

Answers

Answer: g

( 2x+6) = 4x^2+26x+44

Step-by-step explanation: Set up the composite function and evaluate. Hope this helps! :)

Kya is mailing a package to her friend for her birthday. The United States Post Office charges her a flat fee of $8.50 for packing materials plus an additional $0.18 per ounce.


a. Define your variables:


b. Write a function that will help Kya determine how much it will cost to ship her package to her friend based on the weight of the package (in ounces).


c. Kya is trying to remember how much the package she sent weighed. She doesn’t remember the weight exactly, but she knows how much it cost her to mail the package. Write a function that will determine the weight of the package (in ounces) based on the total cost to mail the package.


d. It cost Kya $17.50 to mail her package to her friend. How much did the package weigh? Explain your solution, including the function, used to determine your answer.

Answers

Answer:

The answer is Y=8.5+0.18x

Step-by-step explanation:

Given data

Let the flat fee be $8.5

Let the additional fee per ounce be $0.18

Let the total amount to mail the package be y

Therefore the total amount is

Y=8.5+0.18x

The function is Y=8.5+0.18x

Use the following federal tax table for biweekly gross earnings of a single person to help answer the question below.
A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.
Molly has biweekly gross earnings of $839.52. By claiming 1 more withholding allowance, Molly would have $16 more in her take home pay. How many withholding allowances does Molly currently claim?
a.
1
b.
2
c.
3
d.
4



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

Hi! The answer is actually C. 3

Step-by-step explanation:

I just did the practice and it said 3 was the answer:)

Based on the number of exemptions claimed by Selina and her biweekly gross pay, her state tax will be $16.80.

Here, we have,

given that,

from the given information, we get,

Selina is to pay 21% of her federal taxes.

Seeing as she claims a single exemption and falls in the $840 to $860 bracket, the table shows that her federal tax contribution would be $80.

State taxes are therefore:

= 80 x 21%

= $16.80

Find out more on tax at

brainly.com/question/11308445.

#SPJ7

When five is added to three more than a certain number, the result is 19. What is the number?

Answers

Answer: 11!

Step-by-step explanation:

what is 36 X (6) +1 plz i really need helpp

Answers

Answer: 217

Step 1: Multiply 6 by 36. (PEMDAS)

6 x 36 = 216

Step 2: Add 1. (PEMDAS)

216 + 1 = 217

Answer = 217

Answer:

217 is the answer hope this helps

Use rounding to estimate the product. Is your estimate an underestimate or an overestimate?

11.45 × 5

Answers

Answer:

It is an overestimate.

Step-by-step explanation:

If you round 5 to the nearest 10, you get ten. If you round 11.45, to the nearest ten, you also get 10. Your estimate is 100. Your real answer is 57.25.

The lifetime in months of a transistor in a certain application is random with probability density function:


f(x) = {0.4e^-0.4x, x>0 0, x<0


a. Compute the mean lifetime.

b. Compute the standard deviation of the lifetimes.

c. Compute the cumulative distribution function of the lifetime.

d. Compute the probability that the lifetime will be less than 6 months.

e. Compute the 60^th percentile of the lifetime.

Answers

Answer:

Explained below.

Step-by-step explanation:

The probability density function of lifetime in months of a transistor in a certain application is:

[tex]f(x)=0.4\cdot e^{-0.4x};x>0[/tex]

The probability density function suggests that the random variable X follows a exponential function with parameter λ = 0.4.

(a)

Compute the mean lifetime as follows:

[tex]\mu=\frac{1}{\lambda}=\frac{1}{0.40}=2.5[/tex]

Thus, the mean lifetime is 2.5 months.

(b)

Compute the standard deviation of the lifetimes as follows:

[tex]\sigma=\sqrt{\frac{1}{\lambda^{2}}}=\sqrt{\frac{1}{0.40^{2}}}=2.5[/tex]

Thus, the standard deviation of the lifetimes is 2.5 months.

(c)

The cumulative distribution function of the lifetime is:

[tex]CDF=1-e^{-0.40x}[/tex]

(d)

Compute the probability that the lifetime will be less than 6 months as follows:

[tex]P(X<6)=\int\limits^{6}_{0} {0.40\cdot e^{-0.40x}} \, dx[/tex]

               [tex]=0.40\times [\frac{e^{-0.40x}}{-0.40}]^{6}_{0}\\\\=-1\times [e^{-0.40\times6}-e^{-0.40\times0}]\\\\=-0.090718+1\\\\=0.909282\\\\\approx 0.9093[/tex]

Thus, the probability that the lifetime will be less than 6 months is 0.9093.

(e)

Compute the 60th percentile of the lifetime as follows:

[tex]P(X<x)=0.60\\\\\int\limits^{x}_{0} {0.40\cdot e^{-0.40x}} \, dx=0.60\\\\0.40\times [\frac{e^{-0.40x}}{-0.40}]^{x}_{0}=0.60\\\\-1\times [e^{-0.40\times x}-e^{-0.40\times0}]=0.60\\\\1-e^{-0.40x}=0.60\\\\e^{-0.40x}=0.40\\\\-0.40x=\ln(0.40)\\\\-0.40x=-0.916291\\\\x=2.2907275\\\\x\approx 2.3[/tex]

Thus, the 60th percentile of the lifetime is 2.3 months.

Hello
Can you help please find the answer c ?

Answers

I think it might be 90°
But I’m not sure, sorry if this is wrong! :(


There is a relationship between the expected number of tickets sold for points
a raffle and the dollar value of the prize for the roftle. The equation T. 7 =
150 describes this relationship, where is the expected number of tickets
sold, and is the dollar value of the roffle prize. Suppose the expected
ticket sales for a certain raffle ore 1550. Determine the dollar value of the
raffle prize

Answers

Answer:

200

Step-by-step explanation:

If the equation is T-7p=150, and 1550 tickets are sold, T would be equal to 1550. So the equation becomes 1550-7p=150. Add 150 to both sides to get 1400-7p=0. then add 7p to both sides to get 1400=7p. Divide by 7 to get 200=p

4/6:1/3 as a unit rate

Answers

Answer:

4/6=0.67  1/3=0.3

Step-by-step explanation:

In 2011, the price of gold reached an all-time high. The table shows the prices (in dollars per troy ounce) of gold each year since 2006 (t=0 represents 2006). Find a quadratic function that best models the data.

Answers

Answer:

y = 28.1739x² + 45.6478x + 617.4879 ;

$3891.36

Step-by-step explanation:

Given the data above :

We can employ an online quadratic model calculator to create a quadratic model of the data:

Year(t) ____0 ____1 ____2 ____3 ____4 ____5 (P)-603.46_695.39_871.96_972.35_1224.53_1571.52

The quadratic function obtained is :

y = 28.1739x² + 45.6478x + 617.4879

Using the model ; the price of gold in 2016 will be :

X = 2016 = 10 years (2016 - 2006)

y = 28.1739(10)^2 + 45.6478(10) + 617.4879 = 3891.3559

Hence, the predicted price of gold in 2016 using the model will be $3891.36

What role early cells played in shaping life on earth?

Answers

Answer:

Present-day cells evolved from a common prokaryotic ancestor along three lines of descent, giving rise to archaebacteria, eubacteria, and eukaryotes.

Changed the composition of the oceans. Most of the iron was precipitated out by early life.

Changed the composition of the atmosphere.  Oxygen became available in abundance.

how the expressions 27 and 2.7 alike

Answers

27 is 2.7 times 10 and 2.7 is 27 ÷ 10

What would be the ending balance in an account if $3,500 is invested at
6% for seven years using simple interest?

Answers

Answer:

$4,970

Step-by-step explanation:

is 13/3 rational or irrational and why?

Answers

Answer:

The decimal form of 13/3 is a rational number. and decimals are rational

Find the common difference for the sequence shown


SUPER EASY
1/4, 5/16, 3/8, ...

A. 1/16
B. 1/4
C. 1/2

Answers

Answer:

B.

Step-by-step explanation:

divide the 2nd term to 1st term of sequence

The answer is A. 1/16
If you add 1/16 to 1/4 you get 5/16. If you add 1/16 to 5/16 you get 3/8.

12y-3x=-72 standard time slope intercept simplified

Answers

Answer: exact form: y= -23/4

Step-by-step explanation: move all the terms that doesn’t contain “y” to the right side and solve.

Answer:

y=  1/4 x - 6

Step-by-step explanation:

help me plzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

$1.25

Step-by-step explanation:

10-2.50=7.5

7.5/6=1.25

hope this helps :3

Answer: $1.25

Step-by-step explanation:

10-total

(1 notebook)-2.50, 6 pens

10-2.50=7.50

7.50/6(pens)=1.25

Model Cars, Inc. makes red cars, white cars, and blue cars. The profit on a blue car is $10 more than the profit on a white car. The profit on a red car is $7 less
than the profit on a white car. If the profit on two red cars is $2 less than the profit on one blue car, what is the profit on a blue car?

please help me :(

Answers

Answer:

Let b = profit on a blue car

w = profit on a white car

r = profit on a red car

b = w + 10 (1)

r = w - 7 (2)

2r = b -2

2r-b= -2 (3)

Subtract eq. (2) by 2q. (1)

r - b = 0 - 7 - 10

r - b = -17 (4)

Subtract eq. (3) by eq. (4)

r - 0 = -2 - (-17)

r = 15

in eq (2)

r = w - 7

15 = w - 7

w = 22

in eq (1)

b = w + 10

b = 22 + 10

b = 32

The profit on a blue car is $32

Step-by-step explanation:

THE ANSWER IS 32

Answer:

The profit on a blue car is $32

Step-by-step explanation:

How many ounces of trail mix are in a bag that weighs 0.5675 kilograms? Input only numeric values. (1 pound = 0.454 kg and 1 pound = 16 ounces)

Answers

Answer:

20

Step-by-step explanation:

Since 0.454 kg = 1 pound,

         0.5675 kg = [tex]\frac{0.5675}{0.454}[/tex] pound = 1.25 pounds= (1.25 * 16) ounces = 20 (ounces)

Answer:

0.5675

Step-by-step explanation:

16/0.454 = x/0.5675...16 oz to 0.454 kg = x oz to 0.5675 kg

cross multiply

0.454x = 16(0.5675)

0.454x = 9.08

x = 9.08/0.454

x = 20.....20 oz are in 0.5675 kg

x-14<-6x+7≤13 solve for x

Answers

Answer:

−1  ≤  x  <  3

Step-by-step explanation:

Solve the system of inequalities.

X must be equal to or greater then -1 and smaller then 3.

You options are -1, 0, 1, & 2

It is known that 3 -y/2

Answers

Answer:

Ur question doesnt make sense

Step-by-step explanation:

Solve:
3/5 (15x - 20) = -6x + 4(x - 6)

Answers

Answer:

x = -12/7

Step-by-step explanation:

Answer:

[tex]\frac{3}{5}\left(15x-20\right)=-6x+4\left(x-6\right)[/tex]

[tex]9x-12=-6x+4x-24[/tex]

[tex]9x-12=-2x-24[/tex]

[tex]9x-12+12=-2x-24+12[/tex]

[tex]9x=-2x-12[/tex]

[tex]9x+2x=-2x-12+2x[/tex]

[tex]11x=-12[/tex]

[tex]\frac{11x}{11}=\frac{-12}{11}[/tex]

[tex]x=-\frac{12}{11}[/tex]  or  [tex]x=-1.090[/tex]

Enter the decimal value positioned at point B.
-6
-5
3
-2
1
2.​

Answers

Answer:

im having the same problem

Step-by-step explanation:

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