1/2(3x-2/3)+6 less or equal to x+5​

If the perimeter of the regular hexagon equals to the perimeter of an equilateral triangle then the area of the hexagon is 18.

A hexagon can be be known as a polygon that has six sides and angles. Regular hexagons have six equal sides and angles and are composed of six equilateral triangles. first we have to write down the formula for finding the area of a hexagon if you know the side length. Since a regular hexagon is comprised of six equilateral triangles, the formula for finding the area of a hexagon is derived from the formula of finding the area of an equilateral triangle.

Let a be the side of equilateral triangle ∴ [tex]\sqrt{3}[/tex] /4 [tex]a^{2}[/tex] = 12

Perimeter of triangle = 3a = Perimeter of Hexagon

3a=6h ,where h is the side of hexagon.

⇒ h = 1/2 a

The area of the hexagon =6× [tex]\sqrt{3}[/tex]/4 [tex]h^{2}[/tex]

=6× [tex]\sqrt{3}[/tex]/4 . ( a/2 ) 2 =  6/4 ×12

= 18

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The sheets of metal on the roof must be parallel to each other in order to be perpendicular to the top line of the roof. This means that the sheets of metal are parallel to each other and that their relationship is one of parallelism. This parallelism is necessary so that the roof can maintain its structure and be waterproof.

The relationship between sheets of metal on a roof is one of parallelism. This is because each sheet must be perpendicular to the top line of the roof in order to maintain the structure and be waterproof. In order for the roof to remain secure and waterproof, the sheets must be parallel to each other. This parallelism is necessary in order for the roof to form one complete structure and for the sheets to remain secure. Without the parallelism of the sheets, the roof would be unable to maintain its structure and could easily be damaged by wind and rain. This is why the relationship between the sheets of metal on a roof is one of parallelism.

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Answer:

m ≥ 28.5

Step-by-step explanation:

He wants to bike at least 28.5 miles, like he did last year

also whats up with the anime tab TT no judgement tho

There may be differences between correlations based on a subset of all potential scores and correlations based on the entire range. Range restriction is the name given to this idea.

When observed sample data are not available across the complete range of interest, it is said to have a restricted range. The most typical situation is when there is a bivariate correlation between two normally distributed variables, one of which has a smaller range than is typically seen in the population as a whole. If data from the complete possible range were studied, the observed connection would be attenuated (lower) than it is in these situations.

Although the variables themselves are not under the researchers' control, correlations are used by researchers to determine whether a relationship between two or more variables exists. A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical strategy for describing simple relationships without making a declaration about cause and effect.

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The weight of the piknits can be used to predict the number of goggles as there is a Linear equation in variables that may be defined as a linear courting among x and y, that is, variables.

In this case,  let x is the impartial variable, and y relies upon it, so y is called as the established variable.

linear courting (or linear association) is a statistical period used to explain a straight-line courting among variables. Linear relationships may be expressed both in a graphical layout or as a mathematical equation of the shape y = MX + b.

"There is no linear relationship between the weight and the number of glasses"

"There is a linear relationship.

A. Yes, because the scatterplot shows a linear pattern.

C. Yes, because a random sample was taken from Piknits for the scatterplots of the 4th and 5th residuals.

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It will be parallel to the JK line segment.

What are Parallel Sides ?

If two sides of a geometric shape are not touching or crossing each other and their separation is constant, they are said to be parallel. A shape's parallel sides are opposed, or across from one another, and if they were stretched infinitely beyond the boundaries of the shape, they would not intersect.

According to the given information

Now if a line segment [tex]$3 K$[/tex] is dilated by factor [tex]$0.5$[/tex] about [tex]$p$.[/tex]

The image 3'G' will be of half length as JK and every point on JK at P will be of at half distance.

Therefore,

It will be parallel to the JK line segment.

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The rate of gas usage, in miles per gallon, is 35.4 miles/gallon.

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, A table below shows that the number of miles driven by Hakeem is directly proportional to the number of gallons he used.

According to the table,

There are 36, 41, 45 gallons of gas are used for 1274.4 mile, 1451.4 and 1593 miles respectively,

So, for finding unit rates, we will divide the total mile to total gallons used, in one journey,

unit rate = 1593/45 = 1274.4/36 = 1451.4/41 = 35.4

Hence, The rate of gas usage, in miles per gallon, is 35.4 miles/gallon.

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Z-score of Kevin's shoe size compared to the normal population is, 2.5.

How to find comparation of Kevin shoe size to normal population?

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The table shows that the cost of going to the movies with a group of people is equal to twice the number of people in the group. For example, if the number of people in the group is 2, the cost is 2 * 2 = $16. Similarly, if the number of people in the group is 4, the cost is 2 * 4 = $32, and if the number of people in the group is 8, the cost is 2 * 8 = $64. Therefore, if Tom wants to go to the movies with a group of n people, the cost will be 2 * n dollars.

False. An objective function is necessary for both maximization and minimization problems.

An objective function is an equation that represents the goal of an optimization problem. It is used to evaluate the performance of a certain set of decisions. Regardless of whether the goal is to maximize or minimize an outcome, the objective function is a necessary component of an optimization problem. In a maximization problem, the objective function is used to determine the highest possible output that can be achieved. In a minimization problem, the objective function is used to determine the lowest possible output that can be achieved. Therefore, an objective function is necessary for both maximization and minimization problems.

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Answer:

Step-by-step explanation:

я хз

The weight of Kevin's parcel is 60 g.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a postage fee of Rs 2 for each gram of the weight of a parcel and an additional flat rate of Rs 30. and Kevin's postage fee was 150 less than 5 times the weight of his parcel,

Let the weight of the parcel be x

Establishing the equations,

5x - 150 = 30 + 2x

5x - 2x = 30 + 150

3x = 180

x = 180/3

x = 60

Hence, the weight of Kevin's parcel was 60g

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Using the mathematical operations of multiplication, if Elyse owns 2,000 shares of a corporation that pays a quarterly dividend of $0.51 per share, she should expect yearly dividends of $4,080.

Mathematical operations involve the use of operands and mathematical operators to solve mathematical problems.

Mathematical operations follow the PEMDAS rule, which states that Parentheses, Exponents, Multiplication, and Divisions in that order should be solved first before  Additions and Subtractions.

The number of shares owned = 2,000

Quarterly dividend per share = $0.51

Quarters in a year = 4

Yearly dividends = $4,080 (2,000 x $0.51 x 4)

Thus, applying the multiplication operation, the annual dividend Elyse should receive is $4,080.

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Answer:

  3.85 minutes

Step-by-step explanation:

You want to know the time it takes for taxis traveling 33 mph and 45 mph toward each other to meet if they start 5 miles apart.

The speed at which the taxis approach each other is (33 mph +45 mph) = 78 mph. The time it takes to close the 5-mile gap is ...

  time = distance/speed

  time = (5 mi)/(78 mi/h) = 5/78 h ≈ 0.0641 h

In minutes, the time is ...

  (5/78 h)(60 min/h) = 300/78 min ≈ 3.85 minutes

__

Additional comment

That's about 3 minutes 50.8 seconds.

The depth of water in the cylinder is 20 cm

From the question, we have the following parameters that can be used in our computation:

Volume = 628 litres

Radius = 1 m

Convert litres and meters to cm cube and cm

So, we have the following representation

Volume = 628000 cm cubed

Radius = 100 cm

The volume is the calculated as

V = πr²h

So, we have

628000 = 3.14 * 100² * h

Evaluate

628000 = 31400 * h

Divide by 31400

h = 20

Hence, the height is 20 cm

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The composite function (f.g)(x) has a value of (d) (f.g)(x) = 3x³ + 12x² - 7x - 28

From the question, we have the following parameters that can be used in our computation:

f(x) = x +4

g(x) = 3x² - 7

The composite function is given as

(f.g)(x)

This is calculated as

(f.g)(x) = f(x) * g(x)

Substitute the known values in the above equation, so, we have the following representation

(f.g)(x) = (x + 4) * (3x² - 7)

So, we have

(f.g)(x) = 3x³ + 12x² - 7x - 28

Hence, the function is (d) (f.g)(x) = 3x³ + 12x² - 7x - 28

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Answer:

y = 2x + 6

Step-by-step explanation:

The equation c = 2h + 6 represents the cost of renting tools for a given number of hours. The slope of this line is the rate at which the cost of renting the tools increases as the number of hours increases. Since the cost increases by $2.00 for each hour that the tools are rented, the slope of the line is 2.

A graph of this line would be a straight line with a slope of 2 and a y-intercept of 6. This means that the graph would pass through the point (0, 6), which represents the cost of renting the tools for 0 hours. The correct solution is therefore the graph of the equation y = 2x + 6.

Answer:

To find the perimeter of triangle ABC, we need to find the lengths of all three sides of the triangle. To do this, we can use the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is given by the square root of ((x2 - x1)^2 + (y2 - y1)^2).

Applying this formula, we can find the lengths of the sides of the triangle as follows:

AB = sqrt((7 - (-1))^2 + (-6 - (-6))^2) = sqrt(8^2 + 0^2) = sqrt(64) = 8

BC = sqrt((3 - 7)^2 + (-3 - (-6))^2) = sqrt(-4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5

AC = sqrt((-1 - 3)^2 + (-6 - (-3))^2) = sqrt(-4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5

Thus, the perimeter of triangle ABC is 8 + 5 + 5 = 18 units.

Step-by-step explanation:

4xy + 4x² + 8x

Can also be rearranged as

4x²+8x+4xy

Answer:

387

Step-by-step explanation:

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Answer:

the 4th answer option : shift left by 7 and up by 1

Step-by-step explanation:

the "+1" at the end is simply adding 1 to every y (function result) of f(x). so, that moves everything up by 1.

the "+7" in the function argument is a little bit more complex : it means that the function value of x is the function value that would have been originally created for x+7. so, it happens 7 units "earlier". therefore, this means a shift to the left.

The angle θ is maximized when c = 2 (halfway between two points).

The maximum angle at which a conveyor may be inclined and still deliver a predetermined quantity of bulk material within a given time. As the maximum angle is approached, the rate of handling of bulk material is usually decreased.

Given that, in the figure, find the value of c in the interval [0, 4] on the x-axis that maximizes angle θ.

Express θ as a function of c, Let α be the angle to the left of θ and let β be the angle to the right, then,

tanα = 2/c

and tanβ = 2/(4-c)

At this point, we suppose that it might be easier to use cotangent in order to keep c inn numerator,

cotα = c/2

cotβ = (4-c)/2

We have, α+β+θ = π, so,

θ = π-α-β

= π-cot⁻¹c/2-cot⁻¹(4-c)/2

Differentiate, set equal to 0 and solve

dθ/dc = 1/1+(c/2)².1/2+1/1+(4-c/2)²(1/2)

Put dθ/dc = 0

1/1+(c/2)².1/2+1/1+(4-c/2)²(1/2) = 0

1/1+(c/2)²-1/1+(4-c/2)² = 0

1/1+(c/2)² = 1/1+(4-c/2)²

(4-c/2)² = (c/2)²

(c/2) = (4-c/2)

4-c = c

2c = 4

c = 2

Hence, The angle θ is maximized when c = 2 (halfway between two points).

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The probability of a intersection b, represented by P(a ∩ b) is equal to 0.07.

One of the axioms of probability states that is two events say A and B are independent that is the probability of occurrence of one of them is not affected by the occurrence of the other, then P(A ∩ B) = P(A) × P(B)

We have from the question two events a and b which are said to be independent events,

P(a) = 0.35

P(b) = 0.20

then;

P(a ∩ b) = 0.35 × 0.20

P(a ∩ b) = 0.07

Therefore, the value 0.07 is the probability of the intersection of the two independent events a and b.

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Answer: Multiple choice

Step-by-step explanation: A contingency table would be used to summarize data such as Multiple Choice company employees by gender and organizational title company employees by gender and age company employees by compensation and age company employees by compensation and years with the company.

Answer:

x = 13/5 or 2.6

Step-by-step explanation:

First, multiply both sides of the equation by 3.

This leaves us with 5x + 2 = 15.

Next, subtract 2 from both sides to get 5x = 13.

Finally, divide 13 by 5 to get x = 13/5. This cannot be simplified.

Answer:

the vertex is a maximum at (-4,0)

Step-by-step explanation:

The amount that would a taxi ride cost for 7 miles is $7.75 and The amount that would a taxi ride cost that is m miles long is $(2.5 + 0.75m).

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It shows that the expressions printed on the left and right sides have an equal relationship.

Given:

The taxi charges $2.50 just for the pickup and then an additional $0.75 per mile driven,

Write the equation for the following statement,

y = 2.5 + 0.75x

Here, y is the total amount and x is the number of miles,

Calculate the cost of the ride, put x = 7

y = 2.5 + 0.75 × 7

y = 7.75

Calculate the cost of the ride, put x = m

y = 2.5 + 0.75m

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Answer:

1a. -26

1b. -17

2. -2

Step-by-step explanation:

1.

a.

7

7 × (-3) = -21

-21 + (-5) = -26

b.

-4

-4 × 3 = -12

-12 + (-5) = -17

Formule:

r = -3n - 5

2.

r = -3n - 5

1 = -3n - 5

-3n = 6

n = -2

An equation of the line that passes through the point (-3, -7) and is parallel to the line 2x-3y=24 can be found by taking the slope of the line 2x-3y=24 and using it to write the equation of the line in point-slope form. The slope of the line 2x-3y=24 is 3/2, so an equation of the line that passes through (-3, -7) and is parallel to the line 2x-3y=24 can be written in the form y-y₁ = m(x-x₁), where m is the slope of the line, which is 3/2 in this case. Plugging in the coordinates of the point (-3, -7) and the slope 3/2, we get the equation y-(-7) = (3/2)(x-(-3)), which simplifies to y+7 = 3/2(x+3). Multiplying both sides of the equation by 2/3 to get rid of the fraction on the right-hand side, we get the final equation: 2/3y + 14/3 = x + 3. This is the equation of the line that passes through the point (-3, -7) and is parallel to the line 2x-3y=24.

Answer:

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

Simplify the expression:

Answer:

[tex]-11-6\sqrt{2}\:i[/tex]

Step-by-step explanation:

Given expression:

[tex]\left(-9-\sqrt{-32}\right)-\left(2+\sqrt{-8}\right)[/tex]

Remove the parentheses:

[tex]\implies -9-\sqrt{-32}-2-\sqrt{-8}[/tex]

Rewrite -32 as 16 · 2 · -1  and rewrite -8 as 4 · 2 · -1 :

[tex]\implies -9-\sqrt{16 \cdot 2\cdot -1}-2-\sqrt{4 \cdot 2\cdot -1}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]

[tex]\implies -9-\sqrt{16} \sqrt{2} \sqrt{-1}-2-\sqrt{4}\sqrt{2}\sqrt{-1}[/tex]

Simplify and apply the imaginary number rule √(-1) = i

[tex]\implies -9-4\sqrt{2}\:i -2-2\sqrt{2}\:i[/tex]

Group like terms:

[tex]\implies -9-2-4\sqrt{2}\:i -2\sqrt{2}\:i[/tex]

Combine like terms:

[tex]\implies -11-6\sqrt{2}\:i[/tex]