HELP!! Check the following sets that are closed under the given operations!!!!

Answer:

6.6 ft.

Step-by-step explanation:

Right triangle: Use this formula a² + b² = c² .  Given c = 12, a = 10 find b

(10)² + b² = (12)²

100 + b² = 144

        b² = 144 - 100

        b² = 44

        \(b = \sqrt{44}\)

        b = 6.6

Answer:

30 degrees

Step-by-step explanation:

A full turn is 360 degrees. The question asks for a twelfth of a turn, so all you need to do is divide 360 by 12! 360/12=30...30 is your answer!

Hope this helps you out...have an amazing day c:

Answer:

-24

Step-by-step explanation:

-2/3c = 16

c = 16 : -2/3

c = 16 . 3/-2

c = 8 . 3/-1

c = 8 . -3

c = -24

Answer:

-24

Step-by-step explanation:

-2/3c = 16

c = 16 * 3/-2

c = -8 * 3

c = -24

the area of the triangle ABC is found by using the formula 1/2 * (base * height). Here, the base is 0 and the height is 1. Thus, the area of the triangle ABC = 0.5.

Let x = 0, y = 1 in 5x2y = 31

31 = 0

Thus, the point B is (0, 0).

The area of the triangle ABC = 1/2 * (0 * 1) + (0 * 1) + (1 * 0) = 0.5.

The equation of line L is given as 5x2y = 31. To find the point B, we need to substitute x = 0 in the equation. Doing so, we get 31 = 0, which means that the point B lies on the y-axis at (0, 0).

Next, since the line M is perpendicular to L and passes through A, we can assume that it is a horizontal line passing through (0, 1). Thus, the point C is the point of intersection of L and M, which is (1, 0).

Finally, the area of the triangle ABC is found by using the formula 1/2 * (base * height). Here, the base is 0 and the height is 1. Thus, the area of the triangle ABC = 0.5.

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Answer:

I believe the answer is C

Step-by-step explanation:

Answer:

131.88 inches

Step-by-step explanation:

Circumference = π · diameter

C = 3.14(42)

C = 131.88

The given mixed fraction 5 1/4 can be expressed as 21/4 in improper fraction.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

A mixed fraction is one that has both a correct fraction and a whole number portion, and whose value is consistently greater than 1. An example of a mixed number is 325 3 2 5. When the numerator is always higher than or equal to the denominator, the fraction is said to be inappropriate.

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The graph that shows the solution to the system of equations is attached below.

The solution to a system of linear equations is the point where the two graphs intersect. The coordinates of that point is the solution.

Given the system as:

y = 2/3x + 1

y = -2/3x - 1

Add both together to eliminate x

2y = 0

y = 0

Substitute y = 0 into y = 2/3x + 1 to find x

0 = 2/3x + 1

-1 = 2/3x

-3 = 2x

-3/2 = x

x = -3/2

The solution is: (-3/2, 0) = (-1.5, 0).

Therefore, the graph that shows the solution will intersect at (-1.5, 0), which is shown in the image attached below.

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Answer:

c

Step-by-step explanation:

way simple

Answer:

0.325

Step-by-step explanation:

$63 divide by 24 you'll get 2.625

then $2.95 minus 2.625 you'll get 0.325

Answer:

Length MN = 10 unit

Step-by-step explanation:

Given: M {-5,2} and N {5,2} are the endpoints of the segment MN.

Length of line segment having co-ordinates as

\((x_1, y_1) and (x_2, y_2)\)

is calculated as

\(D =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

So plugging the values in above equation we get

\(D =\sqrt{(5+5)^2+(2-2)^2}\)

D = 10 unit

Therefore, Length MN = 10 unit

The perimeter is defined as the total length measurement of the curcumference of a polygon.

But generally we are given the measurements of sides of the polygon.

So the perimeter is found by summing up all these sides that act as a circumference or boundary of the polygon,

The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x denotes the rectangle's length and y its width.

The correct option is D. y=60x + 200.To find the equation of the line that passes through the given points (4, 440) and (6, 560) on a coordinate grid, we use the point-slope formula.The point-slope formula is an equation used to find the straight line's slope and y-intercept with respect to an individual point, as well as the x and y-axis coordinates.

The point-slope formula for any line through two points (x1, y1) and (x2, y2) is given by:y − y1 = m(x − x1) where m is the slope of the line.Using the point-slope formula, we find the slope of the line that passes through the points (4, 440) and (6, 560) on a coordinate grid as follows:Slope, m = (y2 - y1) / (x2 - x1)

Putting the values of x1 = 4, y1 = 440, x2 = 6, y2 = 560.Slope, m = (560 - 440) / (6 - 4) = 120 / 2 = 60

Therefore, the slope of the line is 60.Using the point-slope formula,y − y1 = m(x − x1 ),where m = 60, x1 = 4, and y1 = 440.Substituting the values, we get:y - 440 = 60(x - 4).Simplifying the equation,y - 440 = 60x - 240y = 60x + 200.

Hence, the equation of the line is y = 60x + 200. Therefore, the correct option is D. y=60x + 200.

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The sum of the expression is f(-3) + g(-1) = (-3)² + 2 + (-1)² + 2

In the expression f(-3) + g(-1), we need to substitute the given values of x into the respective functions f(x) and g(x).

Evaluating f(-3) and g(-1):

f(-3) = 2(-3)² = 2(9) = 18

g(-1) = (-1)² + 2 = 1 + 2 = 3

Finding the sum

f(-3) + g(-1) = 18 + 3 = 21

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A standard bowling lane is approximately 60 feet long from the foul line to the head pin.

The metric system uses the terms kilometres (km), metres (m), decimeters (dm), centimetres (cm), and millimetres (mm) to describe length or distance.

A standard bowling lane is designed to be 60 feet in length from the foul line to the head pin. This distance is consistent across most bowling alleys and is a key measurement in the sport of bowling.

The 60-foot length is divided into specific sections that contribute to the overall structure of the lane. These sections include the approach area, the foul line, the lane itself, and the pin deck where the pins are set.

The approach area is the section where the bowler stands and prepares to release the ball. It usually spans around 15 feet, providing enough space for the bowler to take a few steps and build momentum before releasing the ball.

The foul line marks the boundary between the approach area and the actual lane. It is important for bowlers to release the ball before crossing the foul line; otherwise, it is considered a foul, and the resulting throw does not count towards the score.

Beyond the foul line is the lane, which is where the ball rolls towards the pins. The lane is typically around 41 to 42 inches wide, made of a specially coated wooden or synthetic surface that allows the ball to roll smoothly.

At the end of the lane is the pin deck, where the pins are arranged in a triangular pattern. The head pin, also known as the 1-pin, is positioned at the front of the triangle. When the ball reaches this area, it interacts with the pins, causing them to scatter or fall, resulting in a score.

Overall, the 60-foot length of a standard bowling lane provides enough distance for bowlers to exhibit skill and strategy in their throws while ensuring a fair and consistent playing field.

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Answer:

\(the \: angle \: is \: 0.25\pi\)

Step-by-step explanation:

the arc length is equal to the radius x angle (in radians)

\(s=ra\)

s= arc length, r= radius and a= the angle

solve for a ; a= s/r; a=

\(1.25\pi/5\)

The measure of the arc is 0.25π.

Important information:

The formula for arc length is:

\(s=r\theta\)

where s is the arc length, r is the radius and \(\theta \) is the measure of arc in radian.

The diameter of a circle is 10 inches. So, the radius is 5 inches.

\(1.25\pi=5\theta\)

\(\dfrac{1.25\pi}{5}=\theta\)

\(0.25\pi=\theta\)

Therefore, the measure of the arc is 0.25π.

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In the last 10 presidential elections, the Democratic candidate has won six times in Michigan and four times in Ohio.

In the context of presidential elections, Michigan and Ohio are two key swing states that often play a crucial role in determining the outcome of the overall election. The statement indicates that in the last 10 presidential elections, the Democratic candidate emerged victorious six times in Michigan and four times in Ohio.

This information suggests that Michigan has been a more favorable state for the Democratic candidate compared to Ohio in recent election cycles. The Democratic candidate's success in Michigan for six out of the last 10 elections implies a higher level of support or electoral advantage in that state.

On the other hand, the Democratic candidate won four out of the last 10 elections in Ohio, indicating a relatively more balanced or competitive political landscape in that state. While the Democratic candidate has had some success in Ohio, the Republican candidate likely secured victories in the remaining six elections.

The varying electoral outcomes in these swing states highlight the importance of analyzing the political dynamics, demographics, and voting patterns within each state to understand the factors that contribute to election results. These results can provide insights into the electoral strategies, voter preferences, and overall political landscape of Michigan and Ohio.

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Answer:

Should I tell my parents I'm adopted? lol

Step-by-step explanation:

Answer:

When did you die?

Step-by-step explanation:

The resultant force of two forces acting on a body is 3î + 2ĵ + 3k

The scalar component of F₁ in the direction of F₂ is -7/√14.

To find the resultant force, add the two given forces vectorially as follow;

F = F₁ + F₂ = (5î - ĵ + 2k) + (-2î + 3ĵ + k)

= (5 - 2)î + (-1 + 3)ĵ + (2 + 1)k

= 3î + 2ĵ + 3k

Therefore, the resultant force is 3î + 2ĵ + 3k.

To find the scalar component of F₁ in the direction of F₂, use the dot product

Thus,

F₁ · u = |F₁| |u| cos θ

where

u is a unit vector in the direction of F₂,

θ is the angle between F₁ and F₂, and

|F₁| is the magnitude of F₁.

Find a unit vector in the direction of F₂:

|F₂| = √\(((-2)^2 + 3^2 + 1^2)\) = √(14)

u = F₂ / |F₂| = (-2/√14)î + (3/√14)ĵ + (1/√14)k

Next, find the magnitude of F₁:

|F₁| = √(5^2 + (-1)^2 + 2^2) = √(30)

Then, substitute these values into the dot product equation to find the scalar component of F₁ in the direction of F₂:

F₁ · u = |F₁| |u| cos θ = (5î - ĵ + 2k) · (-2/√14)î + (3/√14)ĵ + (1/√14)k

= (-10/√14) + (3/√14)

= -7/√14

Hence, the scalar component of F₁ in the direction of F₂ is -7/√14.

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The resultant force of two forces acting on a body is 3î + 2ĵ + 3k

The scalar component of F₁ in the direction of F₂ is -7/√14.

How to calculate resultant force

To find the resultant force, add the two given forces vectorially as follow;

F = F₁ + F₂ = (5î - ĵ + 2k) + (-2î + 3ĵ + k)

= (5 - 2)î + (-1 + 3)ĵ + (2 + 1)k

= 3î + 2ĵ + 3k

Therefore, the resultant force is 3î + 2ĵ + 3k.

To find the scalar component of F₁ in the direction of F₂, use the dot product

Thus,

F₁ · u = |F₁| |u| cos θ

where

u is a unit vector in the direction of F₂,

θ is the angle between F₁ and F₂, and

|F₁| is the magnitude of F₁.

Find a unit vector in the direction of F₂:

|F₂| = √ = √(14)

u = F₂ / |F₂| = (-2/√14)î + (3/√14)ĵ + (1/√14)k

Next, find the magnitude of F₁:

|F₁| = √(5^2 + (-1)^2 + 2^2) = √(30)

Then, substitute these values into the dot product equation to find the scalar component of F₁ in the direction of F₂:

F₁ · u = |F₁| |u| cos θ = (5î - ĵ + 2k) · (-2/√14)î + (3/√14)ĵ + (1/√14)k

= (-10/√14) + (3/√14)

= -7/√14

Hence, the scalar component of F₁ in the direction of F₂ is -7/√14.

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Answer:

False

Step-by-step explanation:

A graph of a proportional relationship is a straight line that passes through the origin. The constant of a proportionality in a graph of a proportional relationship is the constant ratio of y to x (the slope of the line).

Answer:

5

Step-by-step explanation:

Before you can multiply two matrices together, the number of COLUMN in the first matrix must equal the number of rows in the second matrix.

The entries of a matrix are a rectangular array of numbers (or other mathematical objects). Standard operations like addition and multiplication can be performed on matrices. A matrix over a field F is often just a rectangular array of F's constituent elements.  Real and complex matrices are those whose entries are real or complex numbers, respectively.

The entries or elements of the matrix are its numbers, symbols, or phrases. In a matrix, the terms "rows" and "columns" refer to the horizontal and vertical rows of entries, respectively.

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Answer:

Step-by-step explanation:

You want the areas of an octagon and a square, each with a perimeter of 80 ft.

The side length of a square is 1/4 of its perimeter, so the square of interest has a side length of ...

  (80 ft)/4 = 20 ft

The area is the square of the side length, so the area of the square is ...

  A = s²

  A = (20 ft)² = 400 ft²

A regular octagon has 8 sides of equal length, so the side length is ...

  (80 ft)/8 = 10 ft

The area is found by the formula ...

  A = 2(1 +√2)s²

  A = 2(1 +√2)(10 ft)² ≈ 483 ft²

The area of the octagon is about 483 square feet; about 400 square feet for the square.

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The leading term, the degree of the polynomial is  −6x3 is 3rd degree and coefficient −6.

Option (C) is correct.

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables .It is  is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

Given:

The given expression is

−6x3

We have to find the  polynomial by degree and tell the leading coefficient.

According to given question we have

The leading term of a polynomial is the term with the highest degree.

The leading coefficient of a polynomial is the coefficient of the leading term.

The degree of a polynomial is the highest degree of its terms.

Hence, the leading term, the degree of the polynomial is  −6x3 is 3rd degree and coefficient −6.

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Immigration into the country  \(\frac{dP}{dt} =Kp+r\)  and Emigration from the country   \(\frac{dP}{dt}=Kp-r\)

There are only two steps to immigrate and emigrate:

First, we have to know the definition of a differential equation:

                                dy/dt=f(x)

Now, the Determination of immigrants and emigrants:

                                      \(\frac{dP}{dt} =Kp+r\)

When there is an immigrant at a constant rate r>0, the population will be at a greater rate.

Now we can add r to the population model which implies population increased by the effect of immigration

                                           \(\frac{dP}{dt} =Kp-r\)

When there is a emigrate at a constant rate r>0, the population rate is decreased.

Now we can subtract r from the population model which implies population decreased by the effect of emigration.

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Answer:1.8*10^-1

Step-by-step explanation:

Answer:     1.8 x 10^−1

Step-by-step explanation:

The old mileage is 10,000 miles and the new mileage is 25 miles per gallon (MPG).

To calculate the old and new mileage, we need to know the old and new miles per gallon (MPG) values.

Let's assume that the old mileage is 25 miles per gallon (MPG) and the new mileage is 30 miles per gallon (MPG).

To calculate the old mileage:

Old mileage = Distance traveled / Gasoline used

Given that you originally used 400 gallons of gasoline per year, we can calculate the distance traveled using the old mileage:

Distance traveled = Old mileage * Gasoline used

Distance traveled = 25 MPG * 400 gallons

Old mileage = 10,000 miles

To calculate the new mileage:

New mileage = Distance traveled / Gasoline used

Since the distance traveled remains the same, we can use the same value of 10,000 miles for the distance traveled. Let's calculate the new mileage using the new MPG value:

New mileage = 10,000 miles / Gasoline used

Assuming the same amount of gasoline used (400 gallons per year), we can calculate the new mileage:

New mileage = 10,000 miles / 400 gallons

New mileage = 25 miles per gallon (MPG)

Therefore, the old mileage is 10,000 miles and the new mileage is 25 miles per gallon (MPG).

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Answer:

Equation: P=$2500+$120N

Total pay if  Miguel sells 23 copies: $5260

The value of (double)(5/2) is 2.0. In the expression (double)(5/2), the division operation 5/2 is performed using integer division because both 5 and 2 are integers.

Integer division truncates the decimal part of the result and returns the quotient as an integer. In this case, 5 divided by 2 is equal to 2.

However, by explicitly casting the result to a double (using the (double) operator), we convert the integer value 2 to a double value, which becomes 2.0.

Therefore, the value of (double)(5/2) is 2.0, as the division is performed as an integer division followed by a casting to a double.

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