Mathematics High School

The masses of four planets in a solar system outside the Milky Way are given below.

Mass of Planet A: 5.97 × 10^24 kg
Mass of Planet B: 3.30 × 10^23 kg
Mass of Planet C: 1.89 × 10^27 kg
Mass of Planet D: 4.87 × 10^24 kg

What is the order of these planets from least to greatest mass?
-Planet C, Planet B, Planet D, Planet A
-Planet C, Planet A, Planet D, Planet B
-Planet B, Planet D, Planet A, Planet C
-Planet A, Planet D, Planet B, Planet C

Answers

Answer 1
Your answer is Planet B, Planet D, Planet A, Planet C. 
Look at the exponents.
23 comes before 24 and 27. So 3.30 x 10 ^ 23 comes first. Next, 24, and there are 2, so  go by the decimals, 4.87 comes before 5.97. So 4.87 x 10^24 comes before 5.97 x 10^24. Then, that leaves 1.89 x 10^27.

Related Questions

Will give brainliest-This graph compares shoe sizes for a group of 80 two-year-old boys and a group of 60 three-year-old boys. About how many more two-year-old boys have a shoe size of 6 or less, compared to the three-year-old boys?

Answers

To answer this question you need to know that the box and whisker plot take the data set and represent it fourths. Each section (half of the box or each whisker is 25% of the data.

So, for the 2 year old boys, half of them or 50% of the shoe sizes were 6 or less (40) and for the 3 year olds it was 1/4 or 25% of them (1/4 x 60= 15).

40-15= 25 more two year olds have a shoes size of 6 or less.
Yep the answer is 25

HURRYYYYYY!!!!!!!!!!!!!!!!!

SOMEONE HELP ME ON THIS

~ BRAINLIEST AVAILABLE

Answers

I would say B. g(x) eventually exceeds f(x) because g(x) is increasing exponentially. 

As shown, f(x) = x + 4 and g(x) = (5/4)^x. This shows that f(x) is in fact Arithmetic (since its addition) and g(x) is Geometric (since its multiplication).

On a graph, Arithmetic sequences have a linear shape, while Geometric sequences have a exponential shape.

Example: x = 20
f(x): (20) + 4 = 24
g(x): (5/4)^(20) = 86.7

So, g(x) does in fact eventually exceed f(x).

A right triangle has legs that are 16 inches and 20 inches long. What is the length of the hypotenuse? Enter your answer as a decimal in the box. Round your answer to the nearest hundredth.

Answers

To find the hypotenuse, you have to square each leg, add them together, and you will get the hypotenuse squared.
16×16= 256
That is one leg squared.
20×20= 400
400+256= 656
We have to find the square root of 656 to find the hypotenuse.
√656≈ 25.61
The hypotenuse is 25.61 inches.
The Pythagorean theorem states that a^2 + b^2 = c^2 (a and b are the two legs, and c is the hypotenuse). We can use this theorem to solve the problem!

We can represent a with 16 and b with 20:
(16)^2 + (20)^2 = c^2       16^2 = 256   and   20^2 = 400
256 + 400 = c^2 -------->    656 = c^2
Now we have to figure out what the square root of 656 is, (a really long and complicated process I will spare you having to figure out.) and the answer is:
c = 25.612    So the length of the hypotenuse (rounded to the nearest hundredth) is 25.612.

2/3 7/8 What is closer to 3/4

Answers

I’d say 7/8. Hope dis helps!!

Solve the inequality. Write the solution in interval notation. Choose the correct solution. 6x > – 24
A. [ –24, ∞ ) B. [ – 4, ∞ ) C. ( –∞, 24 ] D. ( – 4, ∞ ]

Answers

Divide the given inequality 6x > -24 by 6 to isolate x, resulting in x > -4, which in interval notation is (-4, ∞). The correct choice is D. ( -4, ∞) ].

To solve the inequality 6x > -24, we will divide both sides of the inequality by 6 to isolate x, keeping in mind that since 6 is positive, the direction of the inequality will remain the same.

Step-by-step solution:

Start with the inequality 6x > -24.

Divide both sides by 6, which gives us x > -4.

In interval notation, this translates to (-4, ∞).

The correct choice is D. ( -4, ∞) ]

For the first 7 months of the year, the average precipitation is toledo, ohio, is 19.32 inches. if the average precipitation is normally distributed with a standard deviation of 2.44 inches, find these probabilities: a randomly selected year will have precipitation greater than 18 inches for the first 7 months.

Answers

Answer: The correct answer is 70.54%.

The first thing to do is find the z-score for precipitation over 18 inches. You have to subtract the value from the mean and divide by the standard deviation.

18 - 19.32 = -1.32 / 2.44 = -0.54

Now, just look up the z-score of -0.54 on a standard normal distribution table and you will see that 29.46% of the scores are below 18 inches. Therefore, there are 70.54% scores above 18 inches.

The quadrilateral WXYZ has vertices W(3,-5) X(1,-3) Y(-1,-5) and Z(1,-7)
Perform r(90 degrees, 0) (WXYZ) and state the coordinates of the vertices

Answers

Final answer:

After performing a 90 degree rotation about the origin on the points, the new coordinates for W, X, Y, and Z respectively are (5,3), (3,1), (5,-1), and (7,1).

Explanation:

In this problem, the task is to rotate a quadrilateral 90 degrees about the origin (0,0). The rule for rotation of points in the plane about the origin by 90 degrees is (x, y) -> (-y, x).

The new coordinates are,

For W(3,-5), it will become W'(-(-5),3) which equals W'(5,3) after rotating 90 degrees. For X(1,-3), it will become X'(-(-3),1) which equals X'(3,1) after rotating 90 degrees. For Y(-1,-5), it will become Y'(-(-5),-1) which equals Y'(5,-1) after rotating 90 degrees. For Z(1,-7), it will become Z'(-(-7),1) which equals Z'(7,1) after rotating 90 degrees.

Learn more about Rotation of Coordinates here:

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how are three or more angles related

Answers

acute and obsute acute- mesures less than 90 and obsute- measures more than 90 degrees and no more than 180 degrees. tbh ion know what im saying XD :D

Find an equivalent fraction for the decimal number. Be sure that your answer is in lowest terms. Enter the numerator into the first box and the denominator of the fraction into the box below. a0 0.6 = ________ a1

Answers

Well, it's asking for a fraction that is in it's lowest terms that is equivalent to 0.6, which is six-tenths or 6/10. so divide both the numerator and denominator by 2 and you get 3/5 or three-fifths. It's easy if you think about it! 

6/10 divided by 2= 3/5
6/10=0.6 
3/5=0.6
Hope this helps!

Answer:

The lowest fraction equivalent to 0.6 is [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Given : The decimal number is 0.6

To find : An equivalent fraction for the decimal number in the lowest terms.

Solution : The decimal number 0.6 is written in fraction by removing decimal.

Step 1 - Write the decimal number

[tex]0.6[/tex]

Step 2- Remove the decimal

[tex]0.6 = \frac{6}{10}[/tex]

Step 3 - Reduced the fraction by dividing Nr. and Dr. by 2

[tex]0.6 = \frac{6}{10}=\frac{3}{5}[/tex]

Therefore, The lowest fraction equivalent to 0.6 is [tex]\frac{3}{5}[/tex]

Numerator is [tex]a_0=3[/tex] and Denominator is [tex]a_1=5[/tex]

**** IS MY ANSWER CORRECT? ***Suppose you push your physics book against a wall hard enough to keep it from moving. Does the friction force on the book point (a) into the wall, (b) out of the wall, (c) up, (d) down, or (e) is there no friction force? Explain.

Answers

There is not friction force. Friction force refers to the an object moving and the friction not allowing it to move, however in this case the wall is what is keeping it from moving not friction.

Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $139.99 and is on sale for 15% off. Sales tax is 7%. Victoria says that she has enough money to buy the skateboard. Is she correct? Explain.

Answers

we know that
Victoria has $125 to spend

[purchase price skateboard]=$139.99-0.15*$139.99-----> $139.99-$21
[purchase price skateboard]=$118.99

sales tax is 7%----------> 0.07*$118.99----------> $8.33
sales tax is $8.33

Victoria has to pay [$118.99]+[$8.33]=$127.32
$127.32 > $125
therefore
Victoria has not enough money to buy the skateboard

the answer is
Victoria has not enough money to buy the skateboard


what is this difference of the polynomials? (x^4+x^3+x^2+x)-(x^4-x^3+x^2-x)

Answers

//////////////////////////////2x^3 + 2x                                                        

Answer:2x^3+2x

Step-by-step explanation:

An angle measures 34° less than the measure of a supplementary angle. what is the measure of each angle?

Answers

the sum of two angles has to equal to 180.

x + x - 34 = 180
2x - 34 = 180
2x = 214

x = 107

so the angles are
107° and 73°
Final answer:

Given that an angle is 34 degrees less than its supplementary angle and knowing that supplementary angles add up to 180 degrees, the two angles measure 73 degrees and 107 degrees respectively.

Explanation:

To solve this problem, let's assume that the measure of the supplementary angle is x degrees. Since the angle in question is 34° less than the measure of the supplementary angle, we can set up the equation: x - 34 = the angle in question. Now, since supplementary angles add up to 180°, we can set up another equation: x + (x - 34) = 180. Solving this equation, we find that x = 107°. Therefore, the measure of the supplementary angle is 107° and the angle in question is 107° - 34° = 73°.

An angle measures 34° less than the measure of a supplementary angle. By definition, supplementary angles add up to 180°. Let's call the first angle x. Then the supplementary angle would be x + 34° because it's 34 degrees more than x. Since they are supplementary, the sum of these two angles should be 180 degrees:

x + (x + 34°) = 180°
2x + 34° = 180°
2x = 180° - 34°
2x = 146°
x = 146° / 2
x = 73°

Therefore, the measure of the first angle is 73°, and the measure of its supplementary angle is 107° (73° + 34°).

where would square root 67 be located on a number line

Answers

Between 8 and 9, but closer to 8 - 8.1 to be exact.
it would be closer to 8 because if we want to be exact it is 8.1

Use a calculator to evaluate cot 3.14/5

Answers

You need to be a little careful here. cot(3.14/5) ≠ cot(π/5) to the accuracy shown. 3.14 is not a useful approximation for π if you want to use more than 3 significant digits in your result.

The 2nd selection is appropriate. (1.376)

NEED HELP ASAP!
SHOW WORK FOR 1. b, c, d and e!!!


RANDOM ANSWERS WILL BE MODERATED!

Answers

1a) It is an arithmetic sequence with a first term of 5 and a common difference of (9-5) = (13-9) = 4.

1b) a[1] = 5; a[n+1] = a[n]+4

1c) a[n] = 1+4n

1d) Yes. (2013 -1) = 2012 is divisible by 4.

1e) (533 -1)/4 = 133 . . . terms

please help I will mark brainlist if correct

Answers

Hi there!

Since the slope of a line perpendicular to a line is always the negative inverse of that slope, you just switch the numerator and denominator around and add or omit the negative sign to the original slope.

The answer would be -2.

Hope this helps!

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4−x and y = 2−x+1 intersect are the solutions of the equation 4−x = 2−x+1. (4 points) Part B: Make tables to find the solution to 4−x = 2−x+1. Take the integer values of x between −2 and 2. (4 points) Part C: How can you solve the equation 4−x = 2−x+1 graphically? (2 points)

Answers

You probably mean the equations are y = 4 - x and y = 2x -1. Else with given equations, the solution is not possible. The steps of the solution are listed below:

Part A) 
The solution to the equation 4 - x = 2x + 1 are the points where both the equations have same value for a given value of x. This means, if a points (x,y) lies on both the lines it will be the solution of the given equations. Since that point lies on both the lines, both lines will cross that point. Crossing that point can be seen as intersection of two lines at that point. 
Therefore, x-coordinates of the points where the graphs of equations y = 4 -  x and y = 2x + 1 intersect are the solutions of the equation 4 - x = 2x + 1

Part B)
The table is attached in the images below. As seen from the table, both lines have same value of y for x =1. So x=1 is the solution to the equation 4 - x = 2x + 1

Part C)
In order to solve the equation 4 - x = 2x + 1 , we plot the individual lines y = 4 - x and y = 2x + 1 on the graph. The point of intersection of two lines will be the solution to the equation. The graph of lines is attached below. 
A.  We have two lines:  y = 2-x   and   y = 4x+3 Given two simultaneous equations that are both required to be true.. the solution is the points where the lines cross...  Which is where the two equations are equal..  Thus the solution that works for both equations is when 2-x = 4x+3 because where that is true is where the two lines will cross and that is the common point that satisfies both equations.   B.  2-x = 4x+3   x     2-x      4x+3
______________

-3     5       -9
-2     4       -5
-1     3       -1
 0     2        3
 1     1        7
 2     0      11
 3    -1      15

The table shows that none of the integers from [-3,3] work because in no case does
2-x = 4x+3   To find the solution we need to rearrange the equation to the form x=n 2-x = 4x+3 2 -x + x = 4x + x +3 2 = 5x + 3 2-3 = 5x +3-3 5x = -1 x = -1/5   The only point that satisfies both equations is where x = -1/5 Find y:   y = 2-x  = 2 - (-1/5) = 2 + 1/5 = 10/5 + 1/5 = 11/5 Verify we get the same in the other equation y = 4x + 3   =  4(-1/5) + 3 = -4/5 + 15/5 = 11/5   Thus the only actual solution, being the point where the lines cross, is the point (-1/5, 11/5)   C.  To solve graphically  2-x=4x+3 we would graph both lines...   y = 2-x  and   y = 4x+3 The point on the graph where the lines cross is the solution to the system of equations ... [It should be, as shown above, the point (-1/5, 11/5)]   To graph y = 2-x   make a table.... We have already done this in part B   x     2-x                x    4x+3 _______              ________ -1    3                   -1      -1  0    2                    0       3  1    1                    1       7   Just graph the points on a cartesian coordinate system and draw the two lines.  The solution is, as stated, the point where the two lines cross on the graph.  

Hope this helps.

Given: 60,807; 60,087; 60,708 and 60,078, the correct arrangement of these numbers from the least to the greatest value is ?

Answers

The answer would be:
60,078 then 60,087 then 60,708 and then finally 60,807.
60,078, 60,087, 60,708, 60,807.

Can anyone help me on this problem, I have been stuck on it for a while now.

Answers

I think it should be 90 degrees since that angle seems to form a right angle.and right angles equal 90 degrees.
45 degrees
hope I helpeeeeeed

What is the length of the longest side of the triangle if the left side is 2x+12 and the bottom number is 6x-2 and the right side is 5x-9

Answers

Depends on the value of x. If x = 3, the triangle has sides 18, 6, 16 which satisfies the triangle inequality, so 2x+12 is longest in this case. If x is very large, the triangle inequality is still satisfied, and 6x-2 is the longest side.

Brainliest pts.....
Final answer:

To find the length of the longest side of the triangle, use the Pythagorean theorem to solve for x and determine the side lengths of the triangle.

Explanation:

To find the length of the longest side of the triangle, we need to determine which side is the hypotenuse. In a right triangle, the hypotenuse is the side opposite the right angle. Using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides, we can find the length of the hypotenuse.

Let's denote the three sides of the triangle as A, B, and C. The left side is 2x + 12, the bottom side is 6x - 2, and the right side is 5x - 9. Since we can't determine which side is which based on the given information, we can use the variables.

By applying the Pythagorean theorem, we can set up the equation (2x + 12)^2 + (6x - 2)^2 = (5x - 9)^2. Expanding and simplifying this equation will allow us to solve for x and find the lengths of the sides of the triangle. Once we have the side lengths, we can determine which side is the longest.

Learn more about Pythagorean theorem here:

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How would you use a model to determine the approximate formula for the circumference of a circle with a diameter of 8 cm, and connect the model to the actual formula?

Answers

Sorry for the late response, but the formula would be:

Circumference = pi x diameter
Circumference = 3.14 x 8
Circumference = 25.12

Hope this helps!!

Answer with explanation:

Take a thread of length x cm.Convert it into circle of radius r cm.

If you divide the Length of circle by value equal to 2 π, you will obtain radius of the circle.The value 2π is a constant Quantity is an Irrational number.

[tex]\rightarrow \frac{\text{Length of thread}}{2 \pi}=r\\\\ \rightarrow \frac{x}{2 \pi}=r\\\\ \rightarrow x=2 \pi r[/tex]

Diameter of Circle =8 cm

Circumference of a circle with a diameter of 8 cm has radius equal to 4 cm because radius is half of diameter

           =2 × 3.14 × 4 cm

          = 25.12 cm

⇒So, Actual Length of thread =25.12 cm

Irrational Quantity=2 π=2×3.14=6.28 cm

So Radius

       [tex]=\frac{25.12}{6.28}\\\\=4 cm[/tex]

Diameter =Radius × 2

            =4 cm × 2

          = 8 cm

                                                                 

PLEASE HELP ASAP!!!


Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
Drag and drop the choices into the boxes to correctly complete the table.

Answers

I'm not 100% sure that this is correct but it's a 50 50

The first one is none of these

Second one is alternate interior (I am 100% sure on this one)

Third one is corresponding

Fourth one is alternate exterior (also 100% sure)

Fifth one is also corresponding

I tried my best

Answer:

1. None of these.

2. None of these (Supplementary angles ).

3. Corresponding angles.

4. Alternate exterior angles.

5. Corresponding angles.

Step-by-step explanation:

In figure 1, the two lines are not parallel to each other, therefore we can not establish any relation between both angles. The required option is none of these.

In figure 2, both angles 1 and 2 lie on a straight line, therefore both angles are  supplementary angles and the required option is none of these.

In figure 3, both angles have same relative position, therefore both angles are  corresponding angles.

In figure 4, both angles are on the exterior of and , but on opposite sides of the transversal line, therefore both angles are alternate exterior angle.

In figure 5, both angles have same relative position, therefore both angles are  corresponding angles.

Please show work! Thank you

Answers

a) The greatest rectangular area will be the area of a square 10 m on each side, 100 m^2.

b) The new dimensions will be 11 m × 11 m.
.. The new area will be (11 m)^2 = 121 m^2.

c) The area was increased by 121 m^2 -100 m^2 = 21 m^2, or 21%.

d) Yes, and no.
.. If you increase the dimensions by 10%, the area will increase by 21%.
.. (40 m)^2 = 1600 m^2
.. (44 m)^2 = 1936 m^2 = 1.21*(1600 m^2), an increase of 21% over the original.

.. If you increase the dimensions by 1 unit, the area will increase by (2x+1) square units, where x is the side of the original. For x≠10, this is not 21 square units.
.. (41 m)^2 = 1681 m^2 = 1600 m^2 +(2*40 +1) m^2 = 1600 m^2 +81 m^2

At a recent holiday party, 4/5 of the attendees were company employees and the rest were their guests. if 2/3 of the employees who attended were engineers, what was the number of non-engineer employees who attended? there were 225 total attendees at the party. there were 45 attendees who were guests of the employees.

Answers

There were 225 people who attended the party.

------------------------------------------------------
4/5 of the attendees were employee:
------------------------------------------------------

[tex] \dfrac{4}{5} \times 225 = 180[/tex]


There were 180 employees.

------------------------------------------------------
2/3 of the employees were engineers:
------------------------------------------------------

[tex]\text {Fraction of non-engineers = } 1 - \dfrac{2}{3} = \dfrac{1}{3} [/tex]

------------------------------------------------------
Number of Non-engineers :
------------------------------------------------------

[tex]\text { number of non-engineers = } \dfrac{1}{3} \times 180 = 60[/tex]

----------------------------------------------------------------------------------------------------
Answer: There were 60 non-engineers employees that attended the party.
----------------------------------------------------------------------------------------------------


how do you factorise 15x+10

Answers

15x is 5 x 3x 
-10 is 5 x -2 
So 3x and -2 go in brackets 
So the answer is 5(3x - 2)

The football coach bought enough sports mix to make 60 L of a sports drink.


How many cups of the sports drink can the coach make?

(1 L ≈ 2.11 pt)


Question 3 options:

56.9 cups

63.3 cups

253.2 cups

267.1 cups,

Answers

your answer is 253.2 cups. 60L=126.6 pints. two cups in a pint makes 253.2 cups.

Can you check my work please?

Celia is staring at the clock waiting for school to end so that she can go to track practice. She notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle.

Part 1: How many radians does the minute hand move from 1:25 to 1:50? (Hint: Find the number of degrees per minute first.)

My Answer: Part one:
(360degrees/60minutes = 6 degrees per minute.)
1:25 to 1:50 is 25 minutes. 25 x 6 = 150.
150pi/180 = 5pi/6,

Answers

Your answer is correct. Indeed:

- In order to find the degrees per minute, you have to divide the full rotation angle (which is 360deg) by the number of minutes (which is 60):
360deg ÷ 60min = 6 deg/min

- In order to find how many minutes have passed, you subtract the times:
1h50m - 1h25m = 0h25m

- You then find how many degrees correspond to 25minutes:
6 deg/min × 25 min = 150deg

- Lastly, you transform degrees into radiants, through the proportion:
deg : 180 = rad : π
Therefore,
150 : 180 = rad : π
rad = (150×π)/180 = 5π/6

NEED HELP WITH MY MATH

Answers

So for this problem we can recognize that it's a system of linear equations

recall the slope intercept form of a line
[tex]y = mx + b[/tex]
given the info we can write two linear equations one for John and one for Lyndon

take a look at johns part of the question. we can see that his bank starts with 100 dollars and every day after he saves 20 dollars. Now we can see that the 100 is the y intercept or b of our equation because it's our initial amount and the rate of change or m of the equation is 25. filling in this info we get this as johns equation:

[tex]y = 25x + 100[/tex]
now we can do the same for Lydon, she has 50 dollars to start and saves 30 dollars a day. So using the same steps as we did for John we get the equation
[tex]y = 30x + 50[/tex]
now we can do a little trick, to find out when their bank amounts will be equal we set both equations equal to each other (we're just substituting y into the equation) So we get
[tex]25x + 100 = 30x + 50[/tex]
now let's clean this up and solve for X with some algebra
[tex]100 = 30x - 25x + 50[/tex]
subtract 25x
[tex]100 = 5x + 20[/tex]
combine like terms
[tex]80 = 5x[/tex]
subtract 20
[tex]x = 16[/tex]
divide off 5 to get your x value

now we're almost done we just need to plug X back into any of our two equations we made at the beginning of the problem lets use johns equation and plug in 16 because as we found out x=16

[tex]y = 25(16) + 100[/tex]
multiply and add to get
[tex]y = 500[/tex]

now that we know
[tex]x = 16 \: \: and \: \: y = 500[/tex]
we can finalize our answer answer to the system as a coordinate (x,y) and we'll get

(16,500)

since the questions asks after how many weeks though we would say 16 or the x value because in a time related problem, time is always the x value so the final answer is

[tex]16 \: \: weeks[/tex]

a bike sells for $140. The tax sale is 6%. How much will the bike cost?

Already have the answer just can't remember how to work it out please help.

Answers

$140 is total and the tax will be $8.4 because 6% of 140 = 8.4
Other Questions
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