The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a Superscript three-halves. If Saturn’s orbital period is 29.5 years, what is its distance from the sun?

Answers

Answer 1

Answer:

9.54731702 astronomical units

Step-by-step explanation:

[tex]P=a^{\frac{3}{2} }[/tex]

Substitute this value in the equation above:

[tex]29.5=a^{\frac{3}{2} }[/tex]

⇒ [tex](29.5)^{\frac{3}{2} } =a[/tex]

⇒ [tex]a=9.54731702[/tex] [tex]astronomical[/tex] [tex]units[/tex]

Hence, its distance from the sun is 9.54731702 astronomical units.

Answer 2

Answer:

its a

Step-by-step explanation:

on edge 2022


Related Questions

Help




Math




Will



Give



Brainlist



:)))




Xxx

Answers

A.) 3ft 11 in.

Hope this helps

please i need help wha is 5/3 + 2/4

Answers

Using like denominators, we can turn this into 20/12 + 6/12, then you just add the numerators to get 26/12, then simplify to get 13/6

Answer:

26/12

simplify—>13/6

Step-by-step explanation:

Find the LCD (lowest common denominator)

The LCD of these two fractions is 12. Convert them to their denominators.

5/3 *4/4 = 20/12

2/4 *3/3= 6/12

Then add! 6/12 + 20/12 = 26/12

Simplify —> 13/6

Help please!!!!!!!!!!!

Answers

Answer:

i think your answer is 8.

What is the absolute value of -6

Answers

Answer:

6.

Step-by-step explanation:

The absolute value is defined as the distance from a number to 0 , and so it is always positive. So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6.

source: https://socratic.org/questions/whats-the-absolute-value-of-6

i hope this helps!

Answer:

6

Step-by-step explanation:

Absolute value of -6 = 6

Absolute value refers to only the distance from the origin and not the direction. So, always it is positive

Help Pls. Find the radius of Circle Q.

Answers

The square root of 61
Or in a decimal 7.81025

The radius of the given circle is 13 unit.

What is a chord of a circle?

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.

What is radius of a circle?

A radius is a measure of distance from the center of any circular object to its outermost edge or boundary.

What is Pythagoras theorem?

Pythagoras theorem states that "the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides".

According to the given question

We have a circle with center Q and two chords AD and BC.

And, AD = 4x + 4 and BC = 6x -6

Since, both the chords are at the same distance from the center of the circle, so their lengths will same.

⇒ AD = BC

⇒ 4x + 4 = 6x -6

⇒ 4 + 6 = 6x -4x

⇒ 10 = 2x

⇒ x = 5

Therefore,

AD = 4x + 4 = 4(5) + 4 = 20 +4 =24

and, BC = 6x - 6 = 6(5) - 6 = 30 -6 = 24

Also, AP = AD/2 = 24/2 = 12

Now, in right angle triangle QPA we have

[tex]AQ^{2} =QP^{2} +AP^{2}[/tex]     ( By Pythagoras theorem)

⇒ [tex]AQ^{2} = 5^{2} +12^{2}[/tex]

⇒[tex]AQ^{2} = 25 + 144[/tex]

⇒[tex]AQ^{2} = 169[/tex]

⇒[tex]AQ =\sqrt{169}[/tex]

⇒ AQ = 13

Hence, the radius of the given circle is 13 unit.

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Which statement describes the following expression? 7 x (2,304 x 681)

Answers

Answer:

7 times the value of 2,304 times 681

Step-by-step explanation:

Answer:

it is a

Step-by-step explanation:

hope it helps

The angle of elevation of a car to the top of a tree is 60°. If the height of the tree is 34 feet, find the distance between the car and the tree rounded to the nearest whole number.

Answers

Answer:

17 feet

Step-by-step explanation:

cos = adj/hyp

cos60 = adj/34

34 * cos60 = adj

adj = 17

is this correct please tell me sooner then later thank you

Answers

Correct. This is the distance around the circle, aka the perimeter.False. Going from center (O) to the point A is the radius, which is half the diameter. Answer: radiusCorrect. The diameter is a chord that goes through the center. A chord is any segment where the endpoints are on the circle's edge.Correct. There are three radii shown in this diagram. The other radius is OC. Segment BC is a chord that is neither a diameter nor a radius.

In short, all you need to do is change "diameter" to "radius" in question 2. Other than that, you're perfect.

Balr's new computer costs less than twice the cost of her old computer. Her new computer cost $709. How much did Blair's old computer cost?

Answers

Answer:

$357

Step-by-step explanation:


Work out the value of x y z
Give your answer as a fraction in its simplest form.

Answers

Answer:

9/20

Step-by-step explanation:

1/3*3/5*(2*1/4)

1/3*3/5*9/4

(1*3*9)/(3*5*4)=27/60 = 9/20

Help needed on this question too!!!!

Answers

Answer:

1) OTT

2) PGF

3) RBT

4) YGT

5) 24 different ways.. I just counted the total number of combinations.

6) 1/24 since there are 24 different outcomes and PBF is just one.

PLEASE HELP I NEED ANSWER

Answers

Answer:

The area of the figure is 61.24 cm

Step-by-step explanation:

The area for the parallelogram is determined by base x height, so 7 x 6 = 42.

The area of a circle is [tex]\pi[/tex]r², with r being the radius, so that means the circle area is 38.48, but because its a semicircle, its half of that, so the area is 19.24.

42 + 19.24 = 61.24

4. A rental car agency charges a fee of $25 plus $0.20 for every mile driven. Write a function rule to determine the cost of renting a car.
a. What is the cost of driving a rental car 150 miles?
b. If I have $145, how far many miles can I drive the rental car?
Besties help please

Answers

Answer:

a. $25 + ($0.20 × 150) = $25 + $30 = $55

b. $145 ÷ $0.20 = 725 miles

Brooke and lamont ran a half marathon. Brooke finished in 1 hour 50 minutes, lamont finished in 100 minute. Who had the faster time

Answers

Given:

Brooke and Lamont ran a half marathon. Brooke finished in 1 hour 50 minutes, Lamont finished in 100 minute.

To find:

Who had the faster time?

Solution:

We know that,

1 hour = 60 minutes

Time taken by Brooke = 1 hour 50 minutes

                                     = 60 minutes + 50 minutes

                                     = 110 minutes

Time taken by Lamont = 100 minutes.

Since the time taken by Lamont is less than the Brooke, therefore Lamont had the faster time.

if the dimention of a right rectangular prism are 7cm,9cm and 3cm then find the total surface area,its volume and the length of it diagonals​

Answers

Answer:

√139

Step-by-step explanation:

a = 2(7*9+7*3+9*3) = 222 v = 7*9*3 = 189 d = √(7^2+9^2+3^2) = √139

What is 3.055 rounded to the nearest hundredth

Answers

Answer:

3.06

Step-by-step explanation:

3 is in the ones place, then theres the decimal, the tenths place, and the hundredths place. When rounding, you must make the number larger when its 5 or over. So the answer is 3.06

Answer:

3.055 rounded to the nearest hundredth = 3.06

The equation of a circle is x2 + y2 + 6y = 7. What are the coordinates of the center and the length of the radius of the circle? O A. center (0, -3) and radius 16 O B. center (0, -3) and radius 4 C. center (0, 3) and radius 4 O D. center (0, 3) and radius 16 STEM ++ 32:36​

Answers

Answer:

c=(0,–3) , R= 4

choose (B)

Your local dry cleaners is running a special. The dry cleaner is offering a 13% discount for any drop off that is over
$40. Also, they are running a neighborhood special of an additional 5% off. Given this information, determine the
decay factor corresponding to each percent decrease.
a. 34.8; 33.06
0.87: 0.95
b. 0.384; 0.3306
d. 87, 95
C.

Answers

Answer:

a

Step-by-step explan

Answer:

it's C I took the test and put a and got it wrong

Step-by-step explanation:

help me I have hard times in algebra

Answers

See what’s on -3 and there’s ya answer jejjrheggehehudjeytwgegbsnwj

Select the correct answer.
Which number is located to the right of
-1
COIN
on the horizontal number line?
COH
OA. -1
OB. -2
oc. – 2
OD. -3

Answers

Answer:

A.

[tex] - 1 \frac{1}{3} [/tex]

Select all the expressions that are equivalent to the polynomial below.

-12x squared -19x-5

(−15x2 + 9x − 10) + (3x2 − 10x − 5)
(−16x2 + 10x − 3) + (4x2 − 29x − 2)
2(x − 1) − 3(4x2 + 7x + 1)
(4x2 − 13x − 7) − (16x2 + 9x − 5)
3(x − 5) − 2(6x2 + 9x + 5)
(2x2 − 11x − 9) − (14x2 + 8x − 4)

Answers

15×12 6×2 9×-5 all Expressions

In Tim’s coffee shop a study was done to see how many people buy coffee and donut of 160 people came in one day 60 bought coffee and a doughnut the rest bought coffee or a donut find the experimental probability that the next person will by both the coffee and donut a

Answers

Answer:

3/8 or 37.5

Step-by-step explanation:

60/160 simplified

Answer:

3/8

Step-by-step explanation:

60/160 is simplified

Jane't solves the inequality 23x+7≤5 and shows her solution on a number line, as shown below. x ≥ 3 All values of x ____________ to _________ make the expression have a value to ______________.

Answers

Answer:

values of x that makes the expression true are less than -2/23

Step-by-step explanation:

GIven the expression

23x + 7 ≤5

Subtract 7 from both sides

23x+7-7 ≤5 -7

23x < -2

x ≤ -2/23

Hence the values of x that makes the expression true are less than -2/23

Which table represents a quadratic function?
f(x)
x
x
fx)
f(x)
x
f(x)
-4
-5
-4
-4
2
-10
-4
0.5
47
-2
-2
-2
1-6
-2
1
ok
10
0
1
0
2
0
2
2
-7
N
4
2
6
co
N
4
4
2
4
7
4
10
4
8
0

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The x-values in each table are evenly-spaced (increasing by 2). So, the quadratic function can be identified by its second differences: they will be a non-zero constant.

Table 1 has first differences that are constant at 3. -2-(-5) = 3, for example. It represents a linear function.

Table 2 has first differences of 4, 8, 4, 4, neither constant, nor linearly increasing. The function does not have a name.

Table 3 has first differences of -9, -3, +3, +9, and these have differences of +6. This represents a quadratic function.

Table 4 has first differences of 0.5, 1, 2, 4. These have a constant ratio, as do the values in the table. It represents an exponential function.

The table that represents a quadratic function is C. Table 3.

What is a quadratic function?

A quadratic function simply means a function that's in the form of f(x) = ax² + bx + c.

In this case, the table that represents a quadratic function is table 3. It has first differences of -9, -3, +3, +9, and these have differences of +6. It can be deduced that in the quadratic function, b and x are numbers.

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What is the surface area of the right rectangular prism?

Answers

Answer:

Hello! answer: 250

Step-by-step explanation:

10 × 5 = 50

10 × 5 = 50

10 × 5 = 50

10 × 5 = 50

5 × 5 = 25

5 × 5 = 25

50 × 4 = 200

200 + 25 + 25 = 250 the total surface area is 250 hope that helps!

A rectangle has an area of 500 square meters. If it's length is 4x-3 meters and it's width is 2x+6 meters, what is the actual width of the rectangle?

Answers

Answer:

25 meters .

Step-by-step explanation:

The actual width of the rectangle is 24.5 meters.

What is area of rectangle?

The area of rectangle equals the base(width) times the height.

A = w × h

Given

Area of rectangle = 500 square meters.

Length of rectangle = 4x - 3 meters

Width of rectangle = 2x + 6 meters

Area of rectangle = length × width

500 = (4x - 3) (2x + 6)

⇒ 500 = [tex]8x^{2}+24x-6x-18[/tex]

⇒ 500 = [tex]8x^{2}+18x-18[/tex]

⇒ 500 = [tex]2(4x^{2}+9x-9)[/tex]

⇒ [tex]\frac{500}{2}=4x^{2}+9x-9[/tex]

⇒ [tex]250=4x^{2}+9x-9[/tex]

⇒ [tex]4x^{2}+9x-9-250=0[/tex]

⇒ [tex]4x^{2}+9x-259=0[/tex]

⇒ 4x(x + 7) -37(x + 7) = 0

⇒ (x + 7) (4x - 37) = 0

⇒ x = -7, x = [tex]\frac{37}{4}[/tex]

-7 is not satisfied because it is a negative number.

By substituting x = [tex]\frac{37}{4}[/tex] in width of rectangle

Actual width of rectangle = 2x + 6

= 2( [tex]\frac{37}{4}[/tex]) + 6

= [tex]\frac{37}{2}[/tex] + 6

= [tex]\frac{37+12}{2}[/tex]

= [tex]\frac{49}{2}[/tex]

= 24.5 meters

Hence, the actual width of the rectangle is 24.5 meters.

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on the product by rounding to the nearest that NO LINKS​

Answers

Arithmetic

To round, go to the length behind it.

2,413

If it is four or under, you keep the four and, you must turn everything to the left side to zero.

If it is five and up, turn the number into 3000.

Note: This cannot be rounded to 2,500 and 2,400 due to the question being asked.

Meaning, the equation formed is:

5x2,000=10,000

Answer: 10,000

Step-by-step explanation:

the equation is 5 x 2000=10,000

because 1 - 4 let it stay and 5-9 higher up the grade so is was a 2 but you don’t look at the 2 it depends on the number that’s next to it which is 4 and that Means it stays and everything turns into a zero except the two remains it means 5×2000 = 10,000

i hope this helps

What is an equation of the line that passes through the points (6, -3)and (−6,−5)?

Answers

Answer:

y = 1/6x -4

Step-by-step explanation:

First find the slope

m= ( y2-y1)/(x2-x1)

m=(-5 - -3)/( -6 -6)

   = (-5+3)/ (-6-6)

       = -2/-12

       = 1/6

The slope intercept form is

y= mx+b where m is the slope and b is the y intercept

y = 1/6 x +b

Substitute a point into the equation

-5 = 1/6(-6) +b

-5 = -1+b

Add 1 to each side

-4 = b

y = 1/6x -4

Answer:

y=1/6x-4

Step-by-step explanation:

Which of the following is a rational number but not an integer?

74, 3/10, -25, or 170

Answers

Answer:

3/10

Step-by-step explanation:

As,

Integers includes whole numbers, and negative of the whole numbers.

And Rationals includes every fraction, Integers and negative fraction.

So,

170, -25, and 74 are both Integers and Rationals.

But,

Only 3/10 is a fraction included only in rationals and not in Integers

what is meaning of volume​

Answers

Step-by-step explanation:

Volume is the measure of the capacity that an object holds. For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml. Volume can also be defined as the amount of space occupied by a 3-dimensional object or solid shape.

Answer:

the amount of space that a substance or object occupies.

basically the volume of a container, like space in a container.

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