The length of a planet's orbit around a star is approximately 29,870,000 km.
It takes the planet about 1670 Earth days to complete a full orbit.
What is the planet's average speed in kmh-' to 3sf?

Answer:

pic of question

Step-by-step explanation:

option D) The value of the center decreases and the distribution has a larger spread.

Mean is the measure of the central tendency or the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.  

Given here the distribution as 121, 134, 106, 93, 149, 130, 119, 128

therefore their mean is = (121+134+106+ 93+ 149+ 130+ 119+ 128)/8

                                       = 122.5

Again after the new course was added the new mean is          

  =  (121+134+106+ 93+ 149+ 130+ 119+ 128+45)/9

 = 113.88

Hence clearly the mean has decreased and the distribution has a larger spread.

Learn more about the mean here:

https://brainly.com/question/13451489

#SPJ2

Answer:

a) 198.7% interest

Not too sure about answer to (b)

b) 4.75% annualized  

Step-by-step explanation:

a) i used Interest = Principal x Rate x Time

   40 = 525 x [tex]\frac{14}{365}[/tex] x r

    40 = 20.13r

    r = 1.987 or 198.7%

b) i used this proportion:   [tex]\frac{1.98}{1/24}[/tex] = [tex]\frac{x}{1}[/tex]      'x' represents annualized rate

                                                             1/24 represents 2 weeks out of a year

1/24x = 1.98

x = 4.75%

Answer:

4

Step-by-step explanation:

To know the scale factor here, just know that 16/4 = 4, and 8/2 = 4 too, so the scale factor is 4.

Just that the respective sides need to have the same ratio.

Note, if it was from B to A, it'd be 1/4.

Answer:

I took the test the answer isnt 4 its 7 hes wrong

Step-by-step explanation:

glad to help :)

Answer:

Step-by-step explanation:

Let Gary had  x amount of money.

He spent:

He now has:

He has $46 less than had before

Answer:

-5/2

Step-by-step explanation:

Use slope formula:

Given 2 points (x1, y1) and (x2, y2) Slope is

y2-y1/x2-x1

The x intercept is 2, the point would be (2,0)

The y intercept is 5, the point would be (0,5)

So you can do (5-0)/(0-2) which is 5/-2 which then would be -5/2

Answer:

they are the same

Step-by-step explanation:

Answer:

there the same I think. sorry if its wrong

Answer:

To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.

Step-by-step explanation:

Answer:

The class sociologist Max Weber formulated a three-component theory of stratification that saw political power as an interplay between “class”, “status” and “group power. ” Weber theorized that class position was determined by a person’s skills and education, rather than by their relationship to the means of production

Answer:

Does that make sense??

Step-by-step explanation:

Have A Wonderful Day !!

Answer:

the answer is K for (2,-3)

Answer:

F=-21

Step-by-step explanation:

M a t h w a y

The answer to this question is Option C.

As stated in the problem, both programs being Math Master (75% to 87%) and Excel (73% to 81%) increased, therefore, meaning they are both effective as the average test scores increased. However, Math Master had a higher average test score increase compared to Excel, meaning it is even more effective.

Hope this helps :)

Answer:

B. logarithms of negative number don't exist

Answer:

B. logarithms of negative number

Step-by-step explanation:

Answer:

K= -2s + 0.75x is answer

Step-by-step explanation:

I hope it's helpful!

Answer:

v

Step-by-step explanation:

The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

The slope-intercept form of the equation of line it's y = mx + b, where m is the slope and b is the y-intercept of the line.

1. Write the equation of the line that is parallel to y = 2x + 4 and passes through the point (-4, -1).

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 2x + 4  ⇒   m₁ = 2    ⇒    m₂ = 2

(-4, -1)  ⇒  x₁ = -4,  y₁ = -1

point-slope form:

y - (-1) = 2(x - (-4))

y + 1 = 2(x + 4)

y + 1 = 2x + 8               {subtact 1 from both sides}

2. Write the equation of the line that is parallel to y = ⅓x - 3 and passes through the point (3, -1).

y = ⅓x - 3  ⇒   m₁ =  ⅓    ⇒    m₂ =  ⅓

(3, -1)  ⇒  x₁ = 3,  y₁ = -1

point-slope form:

y - (-1) = ⅓(x - 3)

y + 1 = ⅓x - 1           {subtact 1 from both sides}

3. Write the equation of the line that is perpendicular to y = ¾x - 1 and passes through the point (3, -3).

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = ¾x - 1   ⇒   m₁ = ¾  

¾×m₂ = -1        ⇒    m₂ = -⁴/₃

(3, -3)  ⇒  x₁ = 3,  y₁ = -3

point-slope form:

y - (-3) =  -⁴/₃(x - 3)

y + 3 = -⁴/₃x + 4           {subtact 3 from both sides}

4. Write the equation of the line that is perpendicular to y = -x - 5 and passes through the point (7, 3).

y = - x - 5   ⇒   m₁ = -1  

-1×m₂ = -1        ⇒    m₂ = 1

(7, 3)  ⇒  x₁ = 7,  y₁ = 3

point-slope form:

y - 3 =  -1(x - 7)

y - 3 = - x + 7           {add 3 to both sides}

Answer:

Distance around the track = 194.3 metres.

Step-by-step explanation:

Given: The two straight sides are of the track are 50 metres each

          Diameter of each bend = 30 metres

Thus;

radius of the bends = [tex]\frac{diameter}{2}[/tex]

                                  = [tex]\frac{30}{2}[/tex]

                                  = 15 metres

So that,

length of the semicircular bend = [tex]\frac{1}{2}[/tex] x 2[tex]\pi[/tex]r

                                   = [tex]\pi[/tex]r = [tex]\frac{22}{7}[/tex] x 15

                                   = 47.143

length of each semicircular bend is 47.14 metres.

Distance around the track = addition of the length of each straight sides + addition of the length of the bends

                                 = 50 + 50 + 47.14 + 47.14

                                 = 194.28

Therefore,

Distance around the track = 194.3 metres.

Step-by-step explanation:

x = 1.21212121.....

100x = 121.21212121...

Therefore 99x = 120 and x = 120/99 = 40/33.

Answer:

[tex] \frac{40}{33} [/tex]

Step-by-step explanation:

hope it helpsss:-)

Answer:

The coordinates of C" are (-7, 4)

Step-by-step explanation:

From the given figure

∵ ABCD is a trapezoid

∵ The coordinates of the ponit C are (4, 1)

∴ x = 4 and y = 1

∵ The trapezoid is rotated 90 degrees counterclockwise about the origin

→ By using the 1st rule above, change the sigh of y and switch them

∴ C' = (-y, x)

∴ C' = (-1, 4)

∵ The resulting image is translated 6 units left

→ By using the 2nd rule above subtract the x-coordinate by 6

∴ C" = (x - h, y)

∵ h = 6

∵ x = -1 and y = 4

∴ C" = (-1 - 6, 4)

∴ C" = (-7, 4)

∴ The coordinates of C" are (-7, 4)

Step-by-step explanation:

Given, x=3y and y=x+4

y=3y+4.... substituting x=3y

y-3y=4

-2y=4

y=-2

Then substitute -2 either in x=3y or y=x+4 equations

x=3(-2)

=-6

Step-by-step explanation:

might be correct

Answer:

A. 12

Step-by-step explanation:

AP3X

Answer:

Yes

Step-by-step explanation:

1/4+1/4+1/4=3/4 can also be written as

3*1/4

Answer:

7x+10

Step-by-step explanation:

match like terms

8x-x+6+4

7x+10

Answer:

[tex]7x+2[/tex]

Step-by-step explanation:

Alright. First, we have to remember that anything, even a minus sign, directly outside of a term in parentheses means that the term is being multiplied by that number or sign outside of it. A minus sign simply means -1.

I'm going to show you one method. There might be another one, but this method will be useful later in algebra.

So, we've established that a minus sign is actually -1. Now, let's rewrite the equation.

[tex](8x+6)-1(x+4)[/tex]

We'll simplify this now by removing the parentheses and distributing that -1.

[tex]8x+6-x-4[/tex]

Rearrange.

[tex]8x-x+6-4[/tex]

Combine like terms.

[tex]7x+2[/tex]

So,  [tex](8x+6)-(x+4)[/tex] equals [tex]7x+2[/tex].

Answer:

c is the answer have a nice day

Step-by-step explanation:

Answer:

$162.50

Step-by-step explanation:

this is because 30°/• of 125 us 37.5 then if you add that you get 162.50

Answer:

aaaaaaaa

Step-by-step explanation:

Answer:

a regular hexagon

Step-by-step explanation:

6 corners

Answer:

what si the extra credit