2. There is still controversy about whether or not Pluto should be considered a planet. Although planets are
mainly defined by their orbital path (the condition that prevented Pluto from remaining a planet), the
issue of size is something to consider. The table below lists the planets, including Pluto, and their
approximate diameters in meters.
Planet
Mercury
Venus
Earth
Mars
Jupiter
Saturn
Uranus
Neptune
Pluto
Approximate Diameter (m)
4.88 x 106
1.21 x 107
1.28 x 107
6.79 X 106
1.43 x 108
1.2 x 108
5.12 x 107
4.96 x 107
2.3 x 106
DI
a.
Name the planets (including Pluto) in order from smallest to largest.

Answer:

[tex]f(x)=-x^2-4x+21[/tex]

Step-by-step explanation:

The given equation is :

f left parenthesis x right parenthesis equals negative x squared minus 4 x plus 21.

We need to rewrite this equation in faceted format.

The general form of a quadratic equation is given by :

[tex]f(x)=ax^2+bx+c[/tex]

We have,

a = -1, b = -4 and c = 21

Substitute all the values,

[tex]f(x)=-x^2-4x+21[/tex]

So, the required equation is equal to [tex]f(x)=-x^2-4x+21[/tex].

Answer:

D

Step-by-step explanation:

f(n)=-13-2(n) if n=-1 then f(n)=-15 if n=-2 then f(n)=-17

Answer: [tex]v=-3[/tex]

Step-by-step explanation:

Given

The position of a particle is [tex]s(t)=-9-3t[/tex]

Velocity is given by the derivative of position with respect to time

[tex]\Rightarrow v=\dfrac{ds}{dt}\\\Rightarrow v=-3[/tex]

So, velocity is constant at any point in time.

At t=8, it is [tex]v=-3[/tex]

Answer:

25x

Step-by-step explanation:

6x + 9 = 25x

Answer:

6

Step-by-step explanation:

Coefficients are the numbers in terms with the variable

6 is the number with the variable (x)

Answer:

(-1,7)

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

This is a complementary angle, so the equation to use is 30+x=90.

To find out what x is, we have to use the Subtraction Property of Equality.

30+x=90

-30     -30

       x=60

Answer:

B

Step-by-step explanation:

It shows the P moving to the right three units without flipping it.

Answer:

A, B, and C are labeled for each side of a right triangle.

Step-by-step explanation:

A and B are used to label the legs while C is used to label the hypotenuse(AKA the long side of a right triangle and the side opposite of the 90° angle.) The B side is the opposite side of the hypotenuse or the side C. The A is the bottom leg that is in between sides B and C.

Answer:

yes and no

Step-by-step explanation:

0.999... is as close as you can get to 1 and not actually be there.

Most people just round up to 1

Answer:

B

Step-by-step explanation:

f(x) - g(x)

= 2x² - 4x - 3 - (x - 4)(x + 4) ← expand using FOIL

= 2x² - 4x - 3 - (x² - 16) ← distribute by - 1

= 2x² - 4x - 3 - x² + 16 ← collect like terms

= x² - 4x + 13 → B

Answer:

[tex]p > 80[/tex]

Step-by-step explanation:

Given

Points = More than 80

Required [Missing from the question]

Represent as an inequality

Let p represents the number of points.

More than means greater than i.e. >

Hence, more than 80 is represented as;

[tex]p > 80[/tex]

Answer:

Step-by-step explanation:

Given:

Area formula:

Substitute values and solve for w:

The width is 6 in, find the length:

width be x

Now

On solving we will get

Now

Length=2(6)=3=15in

Answer:

72 ft

Step-by-step explanation:

Here, we want to get the maximum height the ball will reach

the maximum height the ball will reach is equal to the y-coordinate of the vertex of the equation

So we need firstly, the vertex of the given quadratic equation

The vertex can be obtained by the use of plot of the graph

By doing this, we have it that the vertex is at the point (3,72)

Thus, we can conclude that the maximum height the ball can reach is 72 ft

Answer:

top left aka the first option

The tree that shows the correct combination of one flavor of ice cream and one topping is the the first tree.

A tree diagram is a tool in the fields of general mathematics, probability, and statistics that helps calculate the number of possible outcomes of an event or problem, and to cite those potential outcomes in an organized way.

Tree diagrams, also known as probability trees or decision trees, are quite versatile and may be useful in many fields, including finance.

A tree diagram lets a user start at a single point and make mutually exclusive decisions or experience mutually exclusive events to follow a path down the branches of the tree. Using a tree diagram is simple once you assign the appropriate values to each node.

From the question, and the definition it is clear that vanilla splits into fudge and caramel and chocolate to sprinkles.

Hence A is the correct option.

To know more about tree diagram here

https://brainly.com/question/13311154

#SPJ3

Answer:

if y° and 75° are the opposite angles of rhombus, then y°=75° [ the opposite angles of rhombus are equal]

Answer:

Step-by-step explanation:

Answer:

Heyy, could you please take a screenshot? It'll be so much easier to see haha. Try Snipping tool if you have Windows, and Command + Shift + 4 for screenshot on Mac. Then I can answer.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because

A)

[tex]80.4 \div {10}^{2} = 0.8.4[/tex]

B)

[tex]80.4 \div 10^{3} = 0.0804[/tex]

C)

[tex]80.4 \div {10}^{4} = 8.04 \times {10}^{ - 3} [/tex]

D)

[tex]80.4 \times {10}^{5} = 8.04 \times {10}^{ - 4} [/tex]

Answer: x = 15.035677095729 approximately

Round this however you need to.

=================================================

Explanation:

I'm assuming you want to find the value of x, which your diagram is showing to be the length of segment QR.

If so, then we'll need to find the measure of angle Q first. Using the law of sines, we get the following:

sin(Q)/q = sin(R)/r

sin(Q)/PR = sin(R)/PQ

sin(Q)/13 = sin(85)/19

sin(Q) = 13*sin(85)/19

sin(Q) = 0.6816068987

Q = arcsin(0.6816068987) ... or ... Q = 180-arcsin(0.6816068987)

Q = 42.9693397461 ... or ... Q = 137.0306602539

These values are approximate.

----------------

Now if Q = 42.9693397461 approximately, then angle P is

P = 180-Q-R

P = 180-42.9693397461-85

P = 52.0306602539

Similarly, if Q = 137.0306602539 approximately, then,

P = 180-Q-R

P = 180-137.0306602539-85

P = -42.0306602539

A negative angle is not possible, so we'll ignore Q = 137.0306602539

----------------

The only possible value of angle P is approximately P = 52.0306602539

Let's apply the law of sines again to find side p, aka segment QR

sin(P)/p = sin(R)/r

sin(P)/QR = sin(R)/PQ

sin(52.0306602539)/x = sin(85)/19

19*sin(52.0306602539) = x*sin(85)

19*sin(52.0306602539)/sin(85) = x

x = 15.035677095729

This value is approximate.

Round this value however you need to.

Answer:

$1.42

Step-by-step explanation:

Since, The first customer paid $12 for 14 postcards and 5 large envelopes.

That is, 14 x + 5 y = 12        ------ (1)

And, The second customer paid $24.80 for 10 postcards and 15 large envelopes.

That is, 10 x + 15 y = 24.80  -------(2)

3 × equation (1),

We get, 42 x + 15 y = 36 ---------(3)

Equation (3) - Equation (2)

32 x = 11.20

⇒ x = 11.20/32

⇒ x = 0.35

By putting the value of x in equation (1),

We get, 14 × 0.35 + 5 y = 12

⇒ 4.9 + 5 y = 12

⇒ 5 y = 7.1

⇒ y = 1.42

Thus, the cost of one postcard = $ 0.35

And, the cost of each large envelope = $ 1.42

Answer:

The y-values of equivalent ratios increase at the same rate as their x-values. The vertical distance between points is constant, and the horizontal distance between points is constant. This forms a straight line.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edgen

Answer:

10x15x10 1500

Step-by-step explanation:

Answer:

Part I

Part II

Part III

Part IV

Answer: maybe line C, i dont know

Step-by-step explanation:

Answer:

I think the answer would just be 2, I'm not for sure on this one