PLEASE HELP WILL MARK BRAINLIEST

The unit for force is the Newton (N). The equation for gravitational force is given by Newton's law of universal gravitation:

F = G * (m1 * m2) / r^2

where: F is the gravitational force (in Newtons, N) G is the gravitational constant (approximately 6.674 × 10^-11 N·m²/kg²) m1 and m2 are the masses of the two objects (in kilograms, kg) r is the distance between the centers of the masses (in meters, m)

Gravitational force decreases as you move away from Earth because the force is inversely proportional to the square of the distance (r^2) between the objects. If the radius between the centers (r) were to be cut in half, the gravitational force would increase by a factor of 4, since the force is inversely proportional to the square of the distance.

So if r becomes (1/2)r, the force would be inversely proportional to (1/4)r^2, leading to a 4 times increase in force.

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Answer:

Option (B)

Step-by-step explanation:

Length of PR = 4

RS = 4

QS = 4

For the length of PT,

PT² = RT² + PR² [Since, PT is the diagonal of rectangle PRT]

PT² = QS² + PR² [Since, RT ≅ QS]

PT² = 4² + 7²

PT² = 16 + 49

PT² = 65

Now for the length of PQ,

PQ² = QT² + PT²

PQ² = RS² + PT² [Since, QT ≅ RS]

PQ² = 4² + 65

PQ² = 16 + 65

PQ = √81

PQ = 9

Therefore, length of diagonal PQ is 9 units.

Option (B) will be the answer.

Answer:

$36.00!

Step-by-step explanation:

Did this help?

Answer:Should be 36 if not mistaken

Step-by-step explanation:

Take $20

Divide by 100

Multiply by 80 and you get 16

Than add 20+16

And you will get $36

Hope this answered your question!

Answer:  x = 12

Step-by-step explanation:

1) Convert mixed numbers into improper fractions: \(21\frac{2}{3} =\frac{21*3+2}{3} =\frac{65}{3}\)

New equation written as: \(\frac{5}{3}x+\frac{1}{3}x=\frac{65}{3}+\frac{7}{3}\)

2) \(\frac{5}{3}x+\frac{1}{3}x=\frac{65+7}{3}\)

3) Add the numbers 65 + 7 = 72: \(\frac{5}{3}x+\frac{1}{3}x=\frac{72}{3}\)

4) Divide 72/3 = 24: \(\frac{5}{3}x+\frac{1}{3}x=24\)

5) Multiply both sides by 3. Note: * = multiply: \(\frac{5}{3}x*3+\frac{1}{3}x*3=24*3\)

6) Simplify: 6x = 72

7) Divide both sides by 6: \(\frac{6x}{6}=\frac{72}{6}\)

x = 12

KMN=1/2(LMN) BEC. KMN=KML=1/2LMN

KMN=58

JNM=KNM-58

103-58=KNM

KNM=45

NOW NKM = 180-KMN-KNM

NKM=180-103

Answer:

77°

Step-by-step explanation:

Hope it helps you

XD

QwQ

Answer:

3.2 m

Step-by-step explanation:

Let x be the distance between the cliff and the boat.

Since the cliff is 25 m above sea level and the distance between the boat and the height of the cliff are perpendicular, and the line of sight of the boat to the base of a cliff is 29 , these three form a right-angled triangle with hypotenuse side as the line of sight of the elevation of the boat to the base of the cliff.

So, using trigonometric ratios, tan29° = 25/x

x = 25 m/tan29° = 25 m/0.5543 = 45.1 m

Also, the line of sight of the top of the flagpole, the cliff and the distance between the boat and the cliff form a right-angled triangle with hypotenuse side as the line of sight of the top of the flagpole,

Now, the angle of elevation of the top of the flagpole from the top of the boat is 32°, we now find the angle opposite to x, the distance from the boat to the cliff.  

Since it is a right-angled triangle, thus one angle is 90° and the unknown angle is A.

So, 90° + 32° + A = 180° (sum of angles in a triangle)

122° + A = 180°

A = 180° - 122°

A = 58°

Let y be the length of the flagpole. In this same triangle, using the sine rule, with x being the side opposite A and 25 + y being the side opposite the 32° angle, where 25 + y = height of cliff + length of flagpole, then

x/sinA = (25 + y)/sin32°

25 + y = xsin32°/sinA

y =  xsin32°/sinA - 25

y = 45.1sin32°/sin58° - 25

y = 45.1 × 0.5299/0.8480 - 25

y = 45.1 × 0.6249 - 25

y =28.183 - 25

y = 3.183

y ≅ 3.2 m to one decimal place

The given problem involves finding two unit vectors in 2-dimensional space that make an angle of 45 degrees with a given vector 6i + 5j, where i and j are the unit vectors in the x and y directions, respectively. To solve this problem, we need to use the properties of vectors and trigonometry to find the appropriate unit vectors that satisfy the given conditions. We can use the fact that the dot product of two vectors is equal to the product of their magnitudes and the cosine of the angle between them to solve this problem. By constructing a system of equations involving the dot product of the desired unit vectors and the given vector, we can solve for the components of the unit vectors that satisfy the given conditions.The concept of vectors in 2-dimensional space is an important tool in mathematics and has many applications in physics, engineering, and computer science. Vectors are used to describe quantities such as displacement, velocity, and force, and can be combined using the rules of vector algebra to solve problems in mechanics, electromagnetism, and other areas of physics. The ability to work with vectors in 2-dimensional space is an important skill for students of mathematics and has many practical applications, such as in computer graphics, robotics, and video game design. The study of vectors in 2-dimensional space is an essential part of linear algebra and has many practical applications in science, engineering, and everyday life.

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u1 = (a)i + (b)j
u2 = (c)i + (d)j
These two unit vectors u1 and u2 make an angle of 45° with 6i + 5j.

To find two unit vectors in 2-space that make an angle of 45° with the vector 6i + 5j, we can use the following approach:

1. First, find the unit vector of 6i + 5j:
The magnitude of the vector is ∥6i + 5j∥ = √(6² + 5²) = √61.
The unit vector is (6/√61)i + (5/√61)j.

2. Now we need to find two unit vectors that make an angle of 45° with the given vector. To do this, we can use the dot product formula:
u ⋅ v = |u||v|cos(θ)

Since we are dealing with unit vectors, |u| = |v| = 1. Therefore, the formula becomes:
u ⋅ v = cos(45°)
u ⋅ v = √2/2

Let u = (x, y), then v = (6/√61)i + (5/√61)j.

3. Substitute u and v into the dot product formula:
(x, y) ⋅ ((6/√61)i + (5/√61)j) = √2/2

Solve for x and y:
(6x/√61) + (5y/√61) = √2/2

4. Solve the equation system for x and y:
6x + 5y = √61 * √2/2

There are two solutions for (x, y) which correspond to the two unit vectors u1 and u2.

u1 = (a)i + (b)j
u2 = (c)i + (d)j

These two unit vectors u1 and u2 make an angle of 45° with 6i + 5j.

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The measure of angle is 30.5 degrees.

Protector is a tool to measure any angle in geometry.

Angle is a geometrical shape made by two straight lines in between them.

Here the base line is the right hand side line drew on the protector. So we have to take the value labelled on above in protector.

So in this way we can see that the angle just passes 30 degrees and pointed towards to 5 th division of 10 divisions.

So it is 30 and a half degree that is 30.5 degrees.

Hence the measures of the angle is 30.5 degrees.

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The question is incomplete. Complete question will be -

Answer:

A. The shape has perpendicular but not parallel lines.

Step-by-step explanation:

The shape is a right triangle, which has a 90 degree angle. This means that two of the sides are perpendicular because they meet each other at a right angle. None of the lines are parallel because if any of the sides were to never meet, there would not be a closed shape.

It would take the automated car wash 20 hours to wash 120 cars.

What is rate ?

In general, a rate is a measure of how much of something happens within a certain period of time. It can be thought of as a ratio that compares two different units of measurement.

In the context of the problem, the rate at which the automated car wash can wash cars is the number of cars that it can wash per unit of time.

The rate at which the automated car wash can wash cars is 30 cars per 5 hours. To find out how long it would take to wash 120 cars, we can use the formula:

Time = (Number of cars / Rate)

Time = (120 cars / 30 cars per 5 hours)

Time = (120/30) * 5 hours

Time = 20 hours

So it would take the automated car wash 20 hours to wash 120 cars.

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The rate at which the automated car wash can wash cars is 30 cars per 5 hours. To find out how long it would take to wash 120 cars, we can use the formula:

Time = (Number of cars / Rate)

Time = (120 cars / 30 cars per 5 hours)

Time = (120/30) * 5 hours

Time = 20 hours

So it would take the automated car wash 20 hours to wash 120 cars.

Answer:

B

Step-by-step explanation:

The student's mistake was between Step 1 and Step 2.

Here, on the left side, they added 6x and 2x. The result should be 8x, not 4x.

It should be 8x-15=3x-75, not 4x-15=3x-75.

Answer: The domain would be week 1 and the range week 2. no its not a function because the domain cant repeat

Step-by-step explanation:

Answer:

25 minutes

Step-by-step explanation:

1950/78=25

Answer:

25 minutes

Step-by-step explanation:

Just divide 1,950 by 78.

To determine if equations are parallel, perpendicular, or neither, you need to examine the slopes of the lines represented by the equations.

The slope of a line is calculated using the formula m = (y2 - y1) / (x2 - x1). The slope-intercept equation y = mx + c can be used to identify the slope and y-intercept of a line, where m represents the slope, while c represents the y-intercept.

If two equations are parallel, they will have the same slope.

If two equations are perpendicular, then the product of the two slopes should equal -1. This also means that if one slope is m, the other must be -1/m. If the slope of one line is zero, the line is horizontal, and any line perpendicular to it has a slope of undefined.

The two lines are neither parallel nor perpendicular if their slopes are not the same or opposite reciprocals of each other.

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Answer:

Ok

Step-by-step explanation:

Answer:

all together there is 141 candies in all

Answer:

Consecutive Interior Angles.

Step-by-step explanation:

They are consecutive interior angles because they are non-adjacent and they lie on the same side of the interior of the transversal.

1. Financial reports covering a one-year period are known as annual reports. An annual report is a comprehensive report on a company's activities throughout the preceding year, prepared by the company's management.

2. Cash basis accounting is the type of accounting that records revenues when cash is received and records expenses when cash is paid. It is a simple way of accounting for a small business that does not carry an inventory.

3. An accounting period consists of any 12 consecutive months. The length of the accounting period depends on the company's accounting cycle.

4. A interim report is a report on activities within the annual period such as concurrent three or six months of activity. An interim report is a financial report covering a period shorter than the year (quarterly or semi-annually).

5. The term time period refers to the prosumptions that an organization's activities can be divided into specific time periods. These specific time periods can be daily, weekly, monthly, quarterly, annually, etc.

1. Financial reports covering a one-year period are known as annual reports. An annual report is a comprehensive report on a company's activities throughout the preceding year, prepared by the company's management.

2. Cash basis accounting is the type of accounting that records revenues when cash is received and records expenses when cash is paid. It is a simple way of accounting for a small business that does not carry an inventory.

3. An accounting period consists of any 12 consecutive months. The length of the accounting period depends on the company's accounting cycle.

4. A interim report is a report on activities within the annual period such as concurrent three or six months of activity. An interim report is a financial report covering a period shorter than the year (quarterly or semi-annually).

5. The term time period refers to the prosumptions that an organization's activities can be divided into specific time periods. These specific time periods can be daily, weekly, monthly, quarterly, annually, etc.

1. Financial reports covering a one-year period are known as annual reports.2. Cash basis accounting is the type of accounting that records revenues when cash is received and records expenses when cash is paid.3. An accounting period consists of any 12 consecutive months.4. An interim report is a report on activities within the annual period such as concurrent three or six months of activity.5. The term time period refers to the prosumptions that an organization's activities can be divided into specific time periods.

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The exponential regression for the data-set in this problem is given as follows:

y = 274.779(1.127)^x.

The number of bacteria after 16 hours is given as follows:

1861 bacteria.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

For exponential regression, we must insert the points of a data-set into an exponential regression calculator.

The points for this problem are given as follows:

(0, 279), (1, 310), (2, 343), (3, 382), (4, 457).

Inserting these points into a calculator, the equation is given as follows:

y = 274.779(1.127)^x.

Then the number of bacteria after 16 hours is given as follows:

y = 274.779 x (1.127)^16

y = 1861 bacteria.

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Answer:

Power Bars are cheaper!

Step-by-step explanation:

FG: $18/12 Bars = $1.50 per bar

PB: $21.75/15 Bars = $1.45 per bar

Answer:

Super Power bars

Step-by-step explanation:

In order to find the best price, we want to calculate the unit rate, or the price for each bar. Let's start with the Fee Great energy bars. Since they are $18 for 12 bars, we divide 18 by 12 to figure out how much each bar costs. We get 1.5, or $1.50 per bar. Next lets claculate the unit rate for the Super Power bars. Since its $21.75 for 15 bars, we divide 21.75 by 15. We get 1.45, or $1.45 per bar. Since the price for one bar is cheaper for the Super Power bars as $1.45 is less than $1.50, the Super Power bars are the best price for each bar.

The required answer for the given expression is 0.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube  roots, plus and minus.

Now the given expression is,

|8-40/4^3| 4^2 - 8

Solving the mod first,

Since 4^3 = 64 ; 4^2 = 16,

and 8 - 40 = -32

Therefore,

|8-40/4^3| 4^2 - 8 = |-32/64|16 - 8

Now solving

⇒ 32/64 = 1/2

Therefore we get,

|8-40/4^3| 4^2 - 8 = |-31/2| 16 - 8

Now since, |-a| = a

therefore, |-1/2| = 1/2

Therefore we get,

|8-40/4^3| 4^2 - 8 = (1/2) 16 - 8

Now, since (1/2) 16 = 8

Therefore we get

|8-40/4^3| 4^2 - 8 = 8 - 8

solving we get,

|8-40/4^3| 4^2 - 8 = 0

this is the required answer for the given expression.

Thus, the required answer for the given expression is 0.

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The correct steps of how to construct a copy of line with the aid of a compass would be given below as follows

To construct a line segment, the correct matching of the steps are given below as follows:

Step one: Start with line segment PQ that we will copy.

Step two: Set the compass point on the point P of the line segment to be copied.

Step three: Adjust the compass width to the point Q. The compass width is now equal to the length of the line segment PQ.

Step four:Mark a point R that will be one endpoint of the new line segment.

Step five : Without changing the compasses width, place the compasses point on the point R on the line you drew previously.

Step six: without changing the compasses width draw an arc roughly where the other endpoint will be.

Step seven pick a point S on the arc that will be the other endpoint of the new line segment.

Step eight: Draw a line from R to S.

Step nine: The line segment RS is equal in length (congruent to) the line segment PQ.

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Explanation

We are given the following:

We are required to determine the exact value of sin 2Θ.

We know that the trigonometric identity for sin 2Θ is thus:

Since Θ is between 180° and 270° as given above, we know that this angle falls in the third quadrant, and sine and cosine are negative in this quadrant.

Therefore, we have:

Now, we can determine the value of sin 2Θ as:

Hence, the answer is:

The properties of a parallelogram are:

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent

Diagonals bisect each other

Diagonals bisect the opposite angles

A parallelogram is a four-sided polygon with two pairs of parallel sides. In other words, opposite sides of a parallelogram are parallel and have equal length. Additionally, opposite angles of a parallelogram are also equal in measure.

Let's evaluate each option given in the question against the above properties:

Opposite angles are congruent: This is true, it is one of the properties of a parallelogram.

Opposite sides are parallel: This is true, it is one of the properties of a parallelogram.

Diagonals are congruent to each other: This is not true, diagonals of a parallelogram bisect each other, but they are not necessarily congruent.

Has four right angles: This is not true, a parallelogram has opposite angles that are congruent, but not necessarily right angles.

Diagonals bisect the opposite angles: This is true, it is one of the properties of a parallelogram.

Diagonals bisect each other: This is true, it is one of the properties of a parallelogram.

Opposite sides are congruent: This is true, it is one of the properties of a parallelogram.

Diagonals are perpendicular to each other: This is not true, diagonals of a parallelogram bisect each other, but they are not necessarily perpendicular.

Therefore, the properties of a parallelogram are:

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent

Diagonals bisect each other

Diagonals bisect the opposite angles

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The properties of a B are:

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent

Diagonals bisect each other

Diagonals bisect the opposite angles

What is parallelogram?

A parallelogram is a four-sided polygon with two pairs of parallel sides. In other words, opposite sides of a parallelogram are parallel and have equal length. Additionally, opposite angles of a parallelogram are also equal in measure.

Let's evaluate each option given in the question against the above properties:

Opposite angles are congruent: This is true, it is one of the properties of a parallelogram.

Opposite sides are parallel: This is true, it is one of the properties of a parallelogram.

Diagonals are congruent to each other: This is not true, diagonals of a parallelogram bisect each other, but they are not necessarily congruent.

Has four right angles: This is not true, a parallelogram has opposite angles that are congruent, but not necessarily right angles.

Diagonals bisect the opposite angles: This is true, it is one of the properties of a parallelogram.

Diagonals bisect each other: This is true, it is one of the properties of a parallelogram.

Opposite sides are congruent: This is true, it is one of the properties of a parallelogram.

Diagonals are perpendicular to each other: This is not true, diagonals of a parallelogram bisect each other, but they are not necessarily perpendicular.

Therefore, the properties of a parallelogram are:

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent

Diagonals bisect each other

Diagonals bisect the opposite angles

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Answer:

1=200

2=300

3=400

4=400

Step-by-step explanation:

Each year they get 100 more dollars. If you have any questions, just ask!

Answer:

-5

Step-by-step explanation:

5 inches below ground. assuming ground is 0, then it would be -5

The 5 inches below the line on the number line is represented by -5.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that the height below the ground is represented by the number line. The below measurement is represented by the negative numbers. The height of 5 inches will be represented by -5 below the ground.

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Answer:

1. R

2.I

3. I

4.R

Step-by-step explanation:

Answer:

Data set doesn't go to 17

Step-by-step explanation:

None of the numbers go to 17

Answer:

1st option. the data set doesn't GO to seventeen

Step-by-step explanation:

look at the number line. I always had trouble with this so I get where your coming from first, look at where the line is touching don't pay attention to the box yet because it's confusing the entire point of this line is to show you that there MAY have been 1 or two people who where at 0 for this data and 1 or two people who were at 15

the point here is that the bulk of the data was 11-14, but because there were less people down lower, the mean of the data is at 13, and the data is bigger (skewed) to the left.

making everything lekse true except for the first option.

In commutative ring theory, if every ideal of a commutative ring with identity (denoted as r) can be generated by a finite or denumerable subset, then the same is true for the ring r[x].

This means that any ideal of the polynomial ring r[x] can also be generated by a finite or denumerable subset. For the ring r[[x]], which consists of formal power series in the variable x with coefficients from r, the analogue of part (a) holds as well.To prove this analogue, let I be an ideal in r[[x]]. We can consider the coefficient of x^k in each element of I, denoted as a_k. Now, let J be the ideal generated by the coefficients a_k. Since every ideal in r can be generated by a finite or denumerable subset, J can be generated by a finite or denumerable subset {a_k1, a_k2, ...}.

We can then construct a subset S of r[[x]], which consists of power series with coefficients that belong to {a_k1, a_k2, ...}. It can be shown that S generates the ideal I. Therefore, we have proven that if every ideal of r can be generated by a finite or denumerable subset, the same is true for the ring r[[x]].

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