HELP PLEASE! 11. Is the set of integers closed under division? Explain why or why not.
If it is not closed, give an example.

The value of x in the polygon will be 13.25 degrees.

The value of x is 10.

We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.

The sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.

Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees

Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:

Measure of one angle = 3960/24 = 165 degrees

165 = 12x + 6

159 = 12x

x = 13.25

Therefore, the value of x is 13.25 degrees.

Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.

Therefore, we have:

731x+86° = 7380°

Solving for x, we get:

731x = 7294°

x = 10

Therefore, the value of x is 10.

The equation that can be used to find the value of x is:

(9x+48)° + (15x-24)° = (n-2)*180°

24x + 24 = (n-2)*180°

Dividing both sides by 24, we get:

x + 1 = (n-2)*15°

Subtracting 1 from both sides, we get:

x = (n-2)*15° - 1

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Answer:

its m=185t

Step-by-step explanation:

because if you divide

An equation which represent the total meters (m) that Sam runs in t minutes is: B. m = 185t.

Mathematically, a proportional relationship can be represented with the following equation or mathematical expression:

m = kt

Where:

Next, we would determine the constant of proportionality (k) for each candy as follows:

From Jacob's running, we have the following:

Constant of proportionality (k) = t/m

Constant of proportionality (k) = 400/2

Constant of proportionality (k) = 200

Since Sam runs 15 meters less each minute than Jacob does, an equation that represent the total meters (m) that he runs in t minutes is given by:

m = (200 - 15)t

m = 185t

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A graph may or may not represent a function.

The true statement is: (b) Yes, the graph passes the vertical line test.

The vertical line test is used to determine if a graph represents a function or not.

When a vertical line is drawn through the graph, the line would only intersect with the curve at a point.

This means that:

The graph represents a function.

Hence, option (b) is true

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The length of e is 29.53 inches.

In the following, the law of sine is presented in detail: In a triangle, the sine of angle A divided by side "a" equals the sine of angle B divided by side "b" equals the sine of angle C divided by side "c".

Given:

f= 33 inches

<F= 140, <D = 5

Now,

<E= 180 - (<F+ <D) = 180 - (140 + 5) = 35

Using Sine law

sin F / f = sin E/ e

sin 140 / 33 = sin 35 / e

0.642/ 33 = 0.573 / e

0.0194 e= 0.573

e= 29.53 inches

Hence, the length of e is 29.53 inches.

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Answer:

12

Step-by-step explanation:

you add 92 with the 4 and get 96 then you divide the 8x with the 96 and get 12

Hope it helps <333

x = 12

Our goal is to find the value of x .

To find the value of x we need to get x by itself .

The first step is to move all numbers to the right . Luckily , there's only one number here : 4.

So we  add 4 on both sides :

8x=96

Now divide by 8 on both sides :

x = 12

\(\footnotesize\text{hope\:helpful~}\)

For a game, Bob has a total of 60 adventure cards. The distribution of cards, c, to players, p, is shown in the table. c = 60 ÷ p

Probability defines the possibility of occurrence of an event. Probability is the unit of measurement for an event's likelihood. It represents the proportion of positive results to all results. For instance: Receiving the numbers 3 and 5 while rolling the dice, as well as getting both an even and an odd number.

The equation would read: c = 60 / 2, which implies c = 30 if p=2. The equation would read 12 = 60 / p, p = 5, 20 = 60 / 3, etc. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.

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Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

If you convert 0.35 is equal to 7/20

Answer:

6

Step-by-step explanation:

Each side can, with a shape consisting of only convex angles (which triangles and squares by definition do) make at most two intersections.

Intersection point is the point at which the two lines are intersect each other.

The maximum number of intersection points two triangles can have, where no two sides are parallel is 6.

What is intersection point?

Intersection point is the point at which the two lines are intersect each other.

Given-

Two triangle intersect each other.

Number of parallel lines for the two triangle is zero.

Two triangle can intersect each other at number of ways.

If any side of two triangle is not parallel then they cuts each other as shown in the given figure to obtained the maximum number of intersection.

As the one side (line) of the one triangle can cut the other triangle only two times ( if vertex is not considered). Thus the number of time total 3 sides of a triangle cuts the other triangle is,

\(=2\times3\\=6\)

Hence, the maximum number of intersection points two triangles can have, where no two sides are parallel is 6.

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The perimeter of the rhombus in this problem is given as follows:

19.8 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The diagonal length can be obtained as follows:

RU + UT = 7.

Applying the Pythagorean Theorem, the side length is obtained as follows:

x² + x² = 7²

2x² = 49

\(x = \sqrt{\frac{49}{2}}\)

x = 4.95.

Then the perimeter is given as follows:

P = 4 x 4.95

P = 19.8 units.

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Answer:

-3,1

Step-by-step explanation:

4(x-1)=3(x+3)

4x-4=3x+9

x=13

Denominator of a fraction cannot be zero. If it’s a zero the answerwill be undefined.

Therefore :

X-1 cannot be 0

Xcannot be 1

X+3 cannot be 0

X cannot be -3

Formula I = prt

p = 1000

r = 5%

t = ?

1000 ----------------------100%

275 ----------------------- x

x = (275 x 100) / 1000

x = 27.5%

275 = (1000)(0.05) t

t = 275 / (1000 x 0.05)

t = 275 / 50

t = 5.5 years

2.- p = I/rt

p = 15.75/(0.015 x 3)

p = 15.75 / 0.045

p = 350

Initial amount of money = $350

Using the inequality rule we know that 11 is greater than -11, (11 > -11).

Mathematical expressions with inequalities are those in which the two sides are not equal.

Contrary to equations, we compare two values in inequality.

Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Two expressions in inequality aren't always equal, which is denoted by the symbols >, <, ≤, or ≥.

So, let's say the inequality equation looks like this: A

Right now, A is valued at

Let p be used to representing the initial number.

P equals 11, so

Let q be used to representing the second number.

Q has a value of -11.

-11 and 11 are both numbers that are greater than zero.

Then, 11 > -11 ... (1)

A has a value of 11 > -11.

Therefore, using the inequality rule we know that 11 is greater than -11, (11 > -11).

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Correct question:
Is 11 greater than, equal to, or less than -11?

Answer:

x = 32

m∠7 = 94

m∠8 = 86

m∠3 = 94

Step-by-step explanation:

(2x + 30) + (3x - 10) = 180

5x + 20 = 180

5x = 160

x = 32

m∠7 = 2(32) + 30 = 94

m∠8 = 3(32) - 10 = 86

or

m∠8 = 180 - 94 = 86

m∠3 ≈ m∠7 (corresponding angles)

Answer:

A. Point estimates are used to make inferences about population parameters.

Answer:

3. 119 m/s

Step-by-step explanation:

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

The negations of the given statements with the application of De Morgan's law and/or conditional law.

a) ∃x (¬P(x) ∨ ¬R(x))

De Morgan's law:

∃y ∀z(¬P(y) ∧ ¬Q(z))

b) ∃y ∀z(¬P(y) ∧ ¬Q(z))

The double negation:

∃y ¬∃z(P(y) ∨ Q(z))

c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

The conditional law:

¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:

a) ∀x (P(x) ∧ R(x))

The negation of this statement is:

∃x ¬(P(x) ∧ R(x))

Now let's apply De Morgan's law:

∃x (¬P(x) ∨ ¬R(x))

b) ∀y∃z(¬P(y) → Q(z))

The negation of this statement is:

∃y ¬∃z(¬P(y) → Q(z))

Using the conditional law, we can rewrite the negation as:

∃y ¬∃z(¬¬P(y) ∨ Q(z))

c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

The negation of this statement is:

¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

Using the conditional law, we can rewrite the negation as:

¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))

Applying De Morgan's law:

¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))

Simplifying the double negation:

¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))

Using De Morgan's law again:

¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))

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Answer:

$5.61

Explanation:

The approximate weight of each grapefruit = 165 grams

First, calculate the total weight of 40 grapefruits.

Since the orchard charges $0.85 to ship a kilogram of grapefruit, the cost of shipping 40 grapefruits will be:

Answer:

there's a site called cymath you can put equations there and it answers almost all equations

Step-by-step explanation:

Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

The proportional relationship is represented by the formula, y = kx, which demonstrates that y increases at the same rate as x does

Relationships between two variables that are proportional occur when their ratios are equal.

Therefore the proportional relationship is represented by the formula,

y = kx .

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Answer:

\((a)\ 6m(3m + 21) = 9(2m^2 + 14m)\)

(b) Yes, it is divisible by 9

Step-by-step explanation:

Given

\(6m(3m + 21)\)

Solving (a): Complete the blanks

\(6m(3m + 21) = 9 [\ ]\)

Expand the bracket

\(6m(3[m + 7]) = 9 [\ ]\)

\(6m*3(m + 7) = 9 [\ ]\)

Express 6m as 2m * 3

\(2m*3*3(m + 7) = 9 [\ ]\)

\(2m*9(m + 7) = 9 [\ ]\)

Rewrite as:

\(9 * 2m(m + 7) = 9 [\ ]\)

Multiply the bracket by 2m

\(9 * (2m^2 + 14m) = 9 [\ ]\)

Divide both sides by 9

\(2m^2 + 14m = [\ ]\)

Hence, the bracket will be filled with: \(2m^2 + 14m\)

So:

\(6m(3m + 21) = 9(2m^2 + 14m)\)

Solving (b): Is \(6m(3m + 21)\) divisible by 9?

In (a), we have:

\(6m(3m + 21) = 9(2m^2 + 14m)\)

The leading factor "9" implies that the expression is divisible by 9

Answer:

slope = - \(\frac{1}{4}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line

m = \(\frac{-1-0}{0-(-4)}\) = \(\frac{-1}{0+4}\) = \(\frac{-1}{4}\) = - \(\frac{1}{4}\)

a). The formula that expresses v in terms of t is v = 22 - 2t, b).  As t increases from 3 to 5, v varies from 16 to 12, c). As t varies from 3 to 5, v changes by 16 - 12 = 4.

What is the volume?

'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3, etc. Sometimes, volume is also termed capacity.

a). The volume of water in the tank, v, decreases by 2 gallons per hour, so the formula for v in terms of t is v = 22 - 2t.

b). As t increases from 3 to 5, v varies from 16 to 12. That is, as t goes from 3 to 5, v decreases from 22 - 2(3) = 16 to 22 - 2(5) = 12.

c). As t varies from 3 to 5, t changes by 5 - 3 = 2, and v changes by 16 - 12 = 4.

Hence,  a). The formula that expresses v in terms of t is v = 22 - 2t, b).  As t increases from 3 to 5, v varies from 16 to 12, c). As t varies from 3 to 5, v changes by 16 - 12 = 4.

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Cramer's rule is a method of calculating the solution to a system of linear equations by finding the "Quotient" of the determinants.

Hence, option (a) is correct choice.

Cramer's rule is one of the most significant strategies for solving a system of equations. The values of the system's variables are to be computed using determinants of matrices in this technique. As a result, Cramer's rule is frequently referred to as the determinant technique.

If unique solutions exist, this approach is utilized to find them. Cramer's rule cannot be used if the determinant of the coefficient matrix is zero.

To use Cramer's Rule to solve a system of three equations in three variables, substitute a variable column with the constant column for each desired solution: x=DxD, y=DyD, z=DzD.

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The missing option be:

(a) Quotient

(b) Divisor

(c) Factor

(d) Multiple

Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.

To determine how many games Jerrica would have to win in a row in order to have an 80% winning record, we need to calculate the number of games she needs to win out of a certain total.

Let's denote the number of games she needs to win in a row as x. If she wins x additional games, her total wins would be 20 + x, and her total games played would be 35 + x.

To have an 80% winning record, she would need to win 80% of the total games played. Mathematically, this can be expressed as:

(20 + x) / (35 + x) = 80 / 100

Cross-multiplying, we get:

100(20 + x) = 80(35 + x)

Expanding and simplifying:

2000 + 100x = 2800 + 80x

Subtracting 80x from both sides:

20x = 800

Dividing by 20:

x = 40

Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.

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Answer:

Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers.

Answer:

Step-by-step explanation:

1. 10/15 = 2/3. Similar.

2. 101/151 ≠ 100/150. Not similar.

3. 10/20 = 7/14 = 4/8. Similar

4. 6/3 = 7/3.5 = 7/3.5 Similar