What revolves around the earth

Answer:

54

Step-by-step explanation:

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

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

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Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

In one revolution, cycle travels 18.84 feet.

A problem can be resolved using the unitary method by first calculating the worth of a single unit, and then multiplying that amount to find the required value. A single or unique unit is referred to as unitary. Determining values in relation to a single unit is the goal of this strategy. For instance, we can use the unitary technique to determine how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel. With the unitary method, you first determine the value of a single unit before determining the value of the necessary quantity of units.

Radius = 3 feet

If r is the radius of the wheel (including the tire), then the circumference of the wheel = 2πr

= 2 x 22/7 x 3 feet

= 18.84 feet

In one revolution, cycle travels 18.84 feet.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

cylinders

h = 9 in

radius = r (in )

V = volume (in ³ )

Step 02:

a.

volume of a cylinder:

V = π r ² h

radius = 1 in

V1 = π (1 in)² * 9 in = 9 π in³

radius = 2 in

V1 = π (2 in)² * 9 in = 36 π in³

radius = 3 in

V1 = π (3 in)² * 9 in = 243 π in³

Table

radius Volume

row 1 1 9 π

row 2 2 36 π

row 3 3 243 π

Step 03:

b. Is there a linear relationship between the radius and the volume of these cylinders?

Yes, because the greater the radius, the greater the volume.

Step 04:

c.

cylinder pitcher:

h = 9 in

r = r

V = π r ² h

Vcp = π r ² 9 in = 9 π r ² in ³

cylinder:

h = 9 in

r = 2r

V = π r ² h

Vc = π (2r) ² 9 in = 36 π r ² in ³

# pitchers = Vc / Vcp

= 36 π r ² in ³ / 9 π r ² in ³

= 4

It can fill 4 pitchers

That is the full solution.

Step-by-step explanation:

The graph is shifted 4 units left.

The graph is shifted 4 units right.

The graph is shifted 4 units up.

The graph is shifted 4 units down.

The equation I = I1 + I2 describes the relationship between I, I1, and I2.   R2 * I2 voltage is measured over R2.  To find I1 and I2, we need more information about the circuit.

a) The equation that best describes the relationship between I, I1, and I2 is: I = I1 + I2

This equation represents Kirchhoff's current law, which states that the total current flowing into a junction is equal to the sum of the currents flowing out of that junction. In this case, I represents the total current flowing through the circuit, while I1 and I2 represent the currents flowing through different branches or elements in the circuit.

b) To find the voltage measured over R2, we can use Ohm's law, which states that the voltage across a resistor is equal to the product of its resistance and the current flowing through it. In this case, the voltage measured over R2 can be , V2 = R2 * I2

Substituting the given values, we have V2 = 130 Ohm * I2.

c)  The given values provide information about the voltage and current, but without the complete circuit diagram, it is not possible to determine the specific values of I1 and I2.

However, once the circuit diagram is available, we can apply Kirchhoff's laws and use the given information to solve for I1 and I2.

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Answer:

9x - 9

Step-by-step explanation:

6x + 3x = 9x. 1- 10 = -9

Combine the like terms

False

the reason why I chose false is because you wouldn't to be greater than one it would need to be like actually I don't even I can't think of a reason why it could be greater than one because if it was one then all of them so when you pick up marbles out of a bag they all have to be the same color it can't be more than once so false I will help you get it correct if not sorry

Answer:

the answer is b: (6,0) and (0,-9)

Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

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Answer:

8)<CBA≅<ZXY

9)m<H=80

Step-by-step explanation:

8)<CBA≅<ZXY is not true because the letters are not in the correct order.

9)180-65-35=m<H=80

Hope this helps! :)

Answer:

Step-by-step explanation:

7/3 x 13/4

91/12

7 7/12

The magnitude of the electric field at the origin due to the given charges is 2.98×10^4 N/C, and its direction is 139.5 degrees counterclockwise from the positive x-axis. The magnitude of the instantaneous acceleration of a proton placed at the origin is 5.97×10^14 m/s^2, and its direction is 139.5 degrees counterclockwise from the positive x-axis.

To determine the electric field at the origin, we need to calculate the contributions from each charge and then sum them up. The electric field due to a point charge can be found using Coulomb's law, which states that the electric field magnitude (E) is equal to the charge (Q) divided by the distance squared (r^2), multiplied by a constant (k) equal to 8.99×10^9 Nm^2/C^2. Considering the first charge, the distance from the origin (0, 0) to (0, -2) is 2 cm. Using the formula, we find that the electric field magnitude due to this charge is 1.12×10^4 N/C, pointing along the positive y-axis.

For the second charge, the distance from the origin to (3, 0) is 3 cm. Calculating the electric field magnitude for this charge yields 3.32×10^4 N/C, pointing along the positive x-axis. Lastly, the third charge at (3, 4) creates an electric field magnitude of 2.24×10^4 N/C, directed at an angle of 53.13 degrees from the positive x-axis.

To determine the net electric field at the origin, we must vectorially add the electric field contributions from each charge. By adding the x-components and y-components separately, we find that the resultant electric field magnitude is 2.98×10^4 N/C, at an angle of 139.5 degrees counterclockwise from the positive x-axis.

Now, let's calculate the instantaneous acceleration of a proton at the origin. Since the proton has a positive charge, it will experience a force in the opposite direction to the electric field. We can use Newton's second law, F = ma, where F is the force experienced by the proton, m is its mass, and a is its acceleration. The force experienced by the proton is given by the electric field strength multiplied by its charge. The mass of a proton is approximately 1.67×10^-27 kg, and its charge is 1.6×10^-19 C. Substituting these values, we find that the acceleration of the proton is approximately 5.97×10^14 m/s^2, pointing at an angle of 139.5 degrees counterclockwise from the positive x-axis, which is the same as the direction of the electric field at the origin.

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Answer:

y= -3/4x and 4y= -3x are both correct

Step-by-step explanation:

Since there is no y-intercept in the function, there will only be a slope in the written function.

In a written function, the slope is always followed by an "x"

4y= -3x is also correct because if you divide both sides by 4, you get

y= -3/4x

The probability that the next customer who comes into the store will buy a computer is given as follows:

0.4940 = 49.40%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

For this problem, the outcomes are given as follows:

Hence the probability is obtained as follows:

p = 205/415

p = 0.4940 = 49.40%.

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Answer:

This number is rational because there is a repeating pattern. Following the decimal, there is one 0 then a 2. This process repeats by adding a 0 each time the number 2 is passed.

Step-by-step explanation:

The method of induction is a mathematical proof technique that involves showing that a statement holds for a base case, and then showing that if it holds for n, it also holds for n+1. This process is repeated until the statement is shown to hold for all positive integers.

This statement can be proven by induction.

Base Case:

For n = 1, there are 3 airports. Let the 3 airports be A, B, and C. If an airplane from airport A is heading towards airport B, then the airplane from airport B must be heading towards airport C, and the airplane from airport C must be heading towards airport A. Hence, there is no airport that none of the airplanes are heading towards.

Inductive Step:

Assume that the statement holds for n = k, where k is a positive integer.

We need to prove that the statement holds for n = k + 1, where there are 2(k + 1) + 1 = 2k + 3 airports.

Let the 2k + 3 airports be A1, A2, ..., A2k + 3. Without loss of generality, let the airplane from airport A1 be heading toward airport A2.

Since the distances between any two airports are all different, we have two cases to consider:

If there exists an airport Ai, such that Ai is the closest airport to A1, then airplanes from Ai must be heading towards A1.

If there is no airport Ai that is closest to A1, then there must be the closest pair of airports, say Ai and Aj, such that Ai is the closest to A1 and Aj is the closest to Ai.

In the first case, none of the airplanes are heading towards Ai, and in the second case, neither Ai nor Aj is the closest airport to any other airport. Hence, in both cases, there is an airport that none of the airplanes are heading towards.

By induction, the statement holds for all positive integers n.

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Answer:

Step-by-step explanation:

a^2 + B^2 = C^2

and all angle added together should make 180  

    the left box should be 20 and the right box should 17.321

Answer:

A- 4

B- 2

C- 10

D - 3

E- 6

F - 1

G- 11

H- 9

I- 5

J- 8

K- 7

K- 12

When we simplify (3 + √5)(3 + √2), the result obtained is:

9 + 3√2 + 3√5 + √10

a√b × c√d = (a × c)√(b × d)

(3 + √5)(3 + √2)

Expand by clearing the bracket

3(3 + √2) + √5(3 + √2)

9 + 3√2 + 3√5 + √10

Thus,

(3 + √5)(3 + √2) = 9 + 3√2 + 3√5 + √10

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There are 3024 possible ways can Carlos choose 5 pizza toppings from a menu of 9 toppings if each topping can only be chosen once.

Since there are 5 toppings on the pizza and 9 possible toppings to choose from we can determine the varieties available by multiplying the available options.

There are 9 possible toppings for the 1st choice.

Since we have chosen one topping already

There are 8 possible toppings for the 2nd choice

There are 7 possible toppings for the 3rd choice

and

There are 6 possible toppings for the 4th choice

Now,

9 × 8× 7 × 6 = 3024

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Answer:

First, we have to set it from least to greatest 11, 12, 12, 13, 14, 15, 16, 17, 18

The  interqurtile range is q3 - q1

Q3 is 16.5 and the q1 is 12

16.5 - 12 = 4.5

Step-by-step explanation:

Answer is 4.5

Interquartile range (IQR) :

The interquartile range shows the range in values of the central 50% of the data. To find the interquartile range, subtract the value of the lower quartile ( or 25%) from the value of the upper quartile ( or 75%).

=>  IQR = Q3 – Q1

Here,

First Arrange the data in ascending order.

11, 12, 12, 13, 14, 15, 16, 17, 18

Median = 14.

Q1 = 12 and Q3 = 16.5

IQR = Q3 - Q1 => 16.5 - 12 = 4.5

Answer is 4.5

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When we want to find all the points on a surface where the tangent plane is horizontal, we are essentially looking for the points where the surface has a horizontal slope. The points on the surface where the tangent plane is horizontal are the points (0, 0, 0).

To find these points, we can use the partial derivative test. First, we calculate the partial derivatives of the surface function with respect to x and y, and set them equal to zero. These equations will give us the x and y values of the points where the slope is zero.

Next, we plug these values back into the original surface function to obtain the z-coordinate of the points. These are the points on the surface where the tangent plane is horizontal.

For example, let's consider the surface function z = x^2 + y^2. To find the points on this surface where the tangent plane is horizontal, we need to find the x and y values where the partial derivatives of z with respect to x and y are equal to zero.

Taking the partial derivative of z with respect to x, we get:

∂z/∂x = 2x

Setting this equal to zero, we get: 2x = 0

Solving for x, we get x = 0.

Taking the partial derivative of z with respect to y, we get:

∂z/∂y = 2y

Setting this equal to zero, we get: 2y = 0

Solving for y, we get y = 0.

Therefore, the points on the surface where the tangent plane is horizontal are the points (0, 0, 0).

In summary, when we want to find all the points on a surface where the tangent plane is horizontal, we can use the partial derivative test and set the partial derivatives of the surface function with respect to x and y equal to zero. We can then plug these values back into the original surface function to obtain the z-coordinate of the points.

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Answer:

Your image is not showing up on my screen

but to find a slope is To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Step-by-step explanation:

George's dog is approximately 32.41 meters away from its crate, if it ran 22 meters, turned and ran 11 meters, and then turned 120° to face its crate.

To determine the distance from George's dog to its crate after the described movements, we can use the concept of a triangle and trigonometry.

The dog initially runs 22 meters, then turns and runs 11 meters, forming the two sides of a triangle. The third side of the triangle represents the distance from the dog's final position to the crate.

To find this distance, we can use the Law of Cosines, which states that in a triangle with sides a, b, and c and angle C opposite side c, the equation is c² = a² + b² - 2abcos(C).

In this case, a = 22 meters, b = 11 meters, and C = 120°. Plugging these values into the equation, we have

c² = 22² + 11² - 2(22)(11)cos(120°).

Evaluating the expression, we get

c ≈ 32.41 meters.

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The pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

What is vertical opposite angle ?

When 2 lines meet one another, then the other angles, shaped thanks to intersection ar known as vertical angles or vertically opposite angles. A try of vertically opposite angles ar continuously adequate to one another. Also, a angle and its adjacent angle are supplementary angles, i.e., they add up to a hundred and eighty degrees.

Main body:

1st pair of line intersect each other , so ∠1 = ∠2 by using vertical opposite angle.

2nd pair of line also intersect each other , so ∠3 ,∠4 are adjacent angles.

Hence ,pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

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The equation that represents the linear equation is t = 4d + 5.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

The table is given in the attached image.

To find the equation:

First, find the common difference.

So,

13 - 9 = 4

17 - 13 = 4

21 - 17 = 4

25 - 21 = 4

Here, the first difference 4 is common.

That means, the equation is a linear equation.

And the general form of the linear equation is,

t = md + c

Here, m = 4

So,

t = 4d + c

To find C:

Substitute the value of t = 9 and d = 1,

So, c = 5

So, the linear equation is t = 4d + 5.

Therefore, t = 4d + 5 is the linear equation.

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To determine which events are mutually exclusive, we need to identify the events that cannot occur at the same time.

The options for the events are: Landing on a shaded section Landing on an even number Landing on an odd number Landing on a section that is not shaded Now let's analyze the options Landing on a shaded section (1 or 4) and landing on an even number (2 or 4) are mutually exclusive, as they cannot occur at the same time.

Landing on a shaded section (1 or 4) and landing on an odd number (1 or 3) are not mutually exclusive, as they can occur at the same time if the spinner lands on section 1. The mutually exclusive events in this scenario are:  Landing on a shaded section Landing on an even number

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From the given information, the two mutually exclusive events are:
1. Landing on a shaded section (sections 1 or 4)
2. Landing on an even number (sections 2 or 4)

Therefore, these are the two options that are mutually exclusive based on the spinner's configuration.

The term "mutually exclusive" refers to events that cannot occur at the same time. In this case, we need to determine which events on the spinner are mutually exclusive given the information provided.

To start, let's list the numbers on the spinner: 1, 2, 4, and 3. We are told that sections 1 and 4 are shaded, and the spinner is pointed at number 2.

Event 1: Landing on a shaded section.
This event includes landing on either section 1 or section 4. Since these sections are shaded, they cannot occur simultaneously with any other section on the spinner.

Event 2: Landing on an odd number.
This event includes landing on either section 1 or section 3. These sections are mutually exclusive with the even numbers, which are 2 and 4.

Event 3: Landing on a multiple of 4.
This event includes landing on section 4. Since section 4 is shaded, it cannot occur simultaneously with any other section on the spinner.

Event 4: Landing on an even number.
This event includes landing on either section 2 or section 4. These sections are mutually exclusive with the odd numbers, which are 1 and 3.

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