Gravity Versus Distance
What is the force of gravity on the rocket at the planet's surface?
What is the force of gravity on the rocket at a distance of two units (twice the planet's radius from its center)?
According to the graph, is the relationship between gravity and distance linear or nonlinear? Explain.
In general, how does the force of gravity pulling on the rocket change as the distance between it and the planet increases?
Estimate the force of gravity on the rocket at a distance of 5 units.

Answer:

i think u are right

Step-by-step explanation:

The price of one adult ticket is $15 and the price of one child ticket is $8.

Two sets of equations can be derived from this question:

14a + 14c = 322 equation 1

12a + c = 188 equation 2

These equations are known as simultaneous equations and they can be solved to determine the cost of each ticket using the elimination method.

In order to determine the cost of the adult's ticket multiply equation 2 by 14

168a + 14c = 2632 equation 3

Subtract equation 1 from 3

2310 = 154a

Divide both sides by 154

a = $15

To determine the cost of the children's ticket substitute for a in equation 1

14(15) + 14c = 322

210 + 14c = 322

322 - 210 = 14c

112 = 14c

c = $8

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Answer:

-5/8, 1/3, -3/2

Step-by-step explanation:

1.

-7/8+1/4

-7/8+2/8

(-7+2)/8

-5/8

2.

-19/3+20/3

1/3

3.

2-7/2

(4-7)/2

-3/2

1-

-7/8+1/4

-7/8+2/8

(-7+2)/8

-5/8

2-

Answer:

x=-58/15

Step-by-step explanation:

distribute first 10-2.5x+12=21-10x-28

Simplify(add the numbers) 22-2.5x=-7-10x

move the variable to the left side 22-2.5x+10x=-7

move the constant to the right side -2.5x+10x=-7-22

simplify like terms 7.5x=-29

divide by 7.5                       x=-58/15

alternate forms are x=-3 13/15                or  x=-3.86

Answer:

2143

Step-by-step explanation:

2 × 4^5 + 10 (5 × 2) -10 ÷ 2

= 2 × 4^5 + 10 × 10 (-10) ÷ 2

= 2 × 4^5 + 10 × 10 - 10 ÷ 2

= 2 × 4^5 + 10 × 10 - 5

= 2048 + 100 - 5

= 2148 - 5

= 2143

Answer:

Your answer is 2143

Step-by-step explanation:

2 × 4^5 + 10 × 10 - 10 ÷ 2

*How i got the -5 is becuase 10/2 = 5

= 2 × 4^5 + 10 × 10 - 5

* How i go the 100 is becuase 10 *10 = 100

2048 + 100 - 5

How i go 2148 is becuase 2048+100 = 2148

2148 - 5

Answer = 2143

The rule in vector notation for the translation to the right is described by the following formula:

[tex]V'(x,y) = V(x,y) + (9, -4)[/tex]

Vectorially speaking, a translation is described by the following expression:

[tex]V'(x,y) = V(x,y) + T(x,y)[/tex] (1)

Where:

By direct inspection we see that parallelogram C'D'E'F' translated to the right is moved 9 in +x direction and 4 in -y direction. Hence, the translation vector is equal to:

[tex]T(x,y) = (9, -4)[/tex]

And the rule in vector notation for the translation to the right is described by the following formula:

[tex]V'(x,y) = V(x,y) + (9, -4)[/tex]

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Step-by-step explanation:

D = b² - 4ac

D = 10² - 4 · 3 · 2

D = 100 - 24

D = 76

D = (-5)² - 4 · 1 · (-4)

D = 25 - (-16)

D = 26 + 16

D = 42

D = 7² - 4 · 1 · (-8)

D = 49 - (-32)

D = 49 + 32

D = 81

D = 0² - 4 · 1 · (-9)

D = 0 - (-36)

D = 36

D = (-6)² - 4 · 5 · 10

D = 36 - 200

D = - 164

Answer:

about 110

Step-by-step explanation:

Answer:

700=25x28

Step-by-step explanation:

The product of the two given numbers is 700.

The given expression is 25 × 28.

We need to find the product of these two numbers in different ways.

The distributive property of multiplication over addition states that multiplying the sum of two or more addends by a number gives the same result as multiplying each addend individually by the number and then adding the products together. This property of multiplication over addition is used when we need to multiply a number by a sum.

Now, direct multiplication 25 × 28=700

Using distributive property we get 25 × (20+8)

=25 × 20 + 25 × 8

=500 + 200

=700

Therefore, the product of two given numbers is 700.

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The perimeter of a shape is the sum of its side lengths.

Joshua miscalculated the third length of the triangle

First, we calculate the third length (x) of the triangle.

Because the triangle is right-angled, we can make use of Pythagoras.

So we have:

[tex]x^2 = 7^2 + 7^2[/tex]

[tex]x^2 = 2(7^2)[/tex]

Take square roots of both sides

[tex]x = \sqrt{2(7^2)[/tex]

[tex]x = 7\sqrt{2[/tex]

The other shape in the figure is a square.

So, the perimeter (P) is

[tex]P = 7 + x + x + x + 7[/tex] ---- i.e. the sum of the visible lengths

So, we have:

[tex]P = 7 + 7\sqrt2 + 7\sqrt2 + 7\sqrt2+ 7[/tex]

Evaluate like terms:

[tex]P = 14 + 21\sqrt2[/tex]

Hence, Joshua's error is that:

He miscalculated the third length of the triangle

Read more about perimeters at:

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Answer: y = 2 (x+4)

Tim = alice + 4

Bob = tim x 2

Alice = x

y = 2 (x+4)

Bob (y), Alice (x), tim (x+4)

Answer:

x = 25

Step-by-step explanation:

Internal angles of a triangle = 180 degrees

So knowing this we can form the following equation

(x + 26) + (x + 14) + (4x - 10) = 180

Simplify

(x + x + 4x) + (26 + 14 - 10) = 180

6x + 30 = 180

Rearrange for x

6x = 180 - 30

6x = 150

x = 25

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According to angle sum property of the triangle, we can say that :

Answer:

He gave 2.50$ to each of his children

Step-by-step explanation:

Answer:

Each child got $2.50

Answer:

the systems of equations corresponding to the given solutions, in order

Step-by-step explanation:

The maximum or minimum of a quadratic function is found evaluating the polynomial at [tex]x = -\frac{b}{2\cdot a}[/tex].

A quadratic function is an algebraic function of the form:

[tex]y = a\cdot x^{2}+b\cdot x + c[/tex], [tex]\forall \,x, y, a, b, c\,\in \mathbb{R}[/tex] (1)

Where:

The maximum/minimum of a quadratic function is represented graphically by the vertex, which is the only point that has no a "twin" point by any means of symmetry. We can get the x-coordinate of the vertex by means of the quadratic formula:

[tex]a\cdot x^{2} + b\cdot x + (c- y) = 0[/tex] (2)

[tex]x = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot (c-y)}}{2\cdot a}[/tex], where [tex]b^{2}-4\cdot a\cdot (c-y) = 0[/tex].

Hence, the x-coordinate of the vertex is:

[tex]x = -\frac{b}{2\cdot a}[/tex] (3)

And the y-coordinate of the vertex is determined by evaluating (1) at (3):

[tex]y = f\left(-\frac{b}{2\cdot a} \right)[/tex] (4)

The maximum or minimum of a quadratic function is found evaluating the polynomial at [tex]x = -\frac{b}{2\cdot a}[/tex].

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Answer:

Given: 2PQ = PR

Prove: Q is the midpoint of line PR

Statement: 2PQ = PQ + QR

Step-by-step explanation:

If Q is the midpoint of PR then

PR = PQ + QR [by segment addition postulate]

2PQ = PR [given]

2PQ = PQ + QR

2PQ-PQ = PQ + QR-PQ [by subtracting PQ from both sides]

PQ = QR

[tex] \because[/tex] Q lies on PR and PQ = QR

[tex] \therefore[/tex] Q is the midpoint of PR

Answer:

y = 6

Step-by-step explanation:

[tex]3(y - 5) + 2 = 5 \\ 3y - 15 + 2 = 5 \\ 3y - 13 = 5 \\ 3y = 5 + 13 \\ 3y = 18 \\ \\ y = \frac{18}{3} \\ \\ y = 6[/tex]

I hope I helped you^_^

The solution of the equation 3(y - 5) + 2 = 5 gives the result y = 6.

Thus, option (d) is correct.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=).

Let's solve the equation step by step:

3(y - 5) + 2 = 5

First, distribute the 3 on the left side:

3y - 15 + 2 = 5

Combine the constants on the left side:

3y - 13 = 5

Now, isolate the variable y by adding 13 to both sides:

3y = 18

Finally, divide both sides by 3 to solve for \(y\):

y = 18/3

y = 6

So, the solution to the equation is y = 6.

Thus, option (d) is correct.

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Answer:

so what are you trying to figure out

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

[tex]\frac{-5}{k} + 1\\\frac{-5}{-1} + 1\\5+1 = 6[/tex]

Wednesday

If you use a calender, it falls on a wednasday

Answer:

m = -6

Step-by-step explanation:

2 (m + 7) = -4 - m

2m + 14 = -4 - m

3m + 14 = -4

3m = -18

m = -6

Hopefully this helps!

Brainliest please?

Answer:

m = -6

Step-by-step explanation:

To solve this equation for m, we multiply out the left side to remove the parentheses:

2m + 14 = -4 - m

Next, we combine like terms:  2m and -m are like terms, as are 14 and -4:

3m = -18

Dividing both sides by 3 yields m = -6

Answer:

14

Step-by-step explanation:

convert 35% to a decimal by moving the decimal to the left two places

.35

.35 × 40 = 14

Answer:

87 percent

Step-by-step explanation:

You just simply divide percent you got (35) by the full amount you could get (40)

35 ÷ 40

Answer:

Question 1 : B) (8 x 20) - (8 x 1)

Question 2 :  D) (2 x 9) + (2 x 3)

Step-by-step explanation:

Distributive Property is used in algebraic expressions, to divide the equation, to make it easier to solve. For question 1,  since it was 20, you must subtract 8 from that answer, because 20 is 1 more than 19. For question 2, (2 x 9) + (2 x 3) would be the same thing as 2(9+3).

-kiniwih426

Answer:

B) (8 x 20) - (8 x 1)

D) (2 x 9) + (2 x 3)

Step-by-step explanation:

Distributive Property: "The distributive property tells us how to solve expressions in the form of a(b + c)."

___________________

Step 1: 8 x 19 = 152

Using PEMDAS, you can see which order to solve the equations in.

PEMDAS tells us to solve whatever is within the parenthesis first but there are 2 parenthesis and both have multiplication so just solve the first parenthesis first;

8 x 20 = 160

Step 2: We now have to solve the second parenthesis;

8 x 1 = 8

Step 3: Using PEMDAS, we see that after we solve the parenthesis, we do subtraction. So subtract 8 from 160.

160 - 8 = 152

So your answer is B) (8 x 20) - (8 x 1).

___________________

Step 1: 2(9 + 3)

Using the Distributive property, we multiply 2 by 9 and 3;

2 x 9 = 18

2 x 3 = 6

Now you are left with 18 + 6.

18 + 6 = 24

So your answer is D) (2 x 9) + (2 x 3).

___________________

Hope this Helps! :)

Answer:

SENCOND TO LAST

Step-by-step explanation:

Answer:   0.04, 0.2, 1/2, 3/4, 5, 73

Step-by-step explanation:

Answer:

how do u solve this?

Step-by-step explanation: