simplify... 3yx-6xy.............

The area of the entire Tectangle is 110x^2 - 88x + 132.

The area of the entire rectangle is given by:Area = height x width

Substituting the given values, we get:Area = 2 22 x (5 � 2 − 2 � + 3 5x 2 −2x+35)

Simplifying the expression inside the parentheses, we get:Area = 2 22 x (5x^2 - 2x + 3)

Expanding the expression, we get:Area = 2 22 x 5x^2 - 2 2 22 x 2x + 2 2 22 x 3

Simplifying, we get:Area = 110x^2 - 88x + 132

Therefore,

The area of the entire rectangle is given by:Area = height x width

Substituting the given values, we get:Area = 2 22 x (5 � 2 − 2 � + 3 5x 2 −2x+35)

Simplifying the expression inside the parentheses, we get:Area = 2 22 x (5x^2 - 2x + 3)

Expanding the expression, we get:Area = 2 22 x 5x^2 - 2 2 22 x 2x + 2 2 22 x 3

Simplifying, we get:Area = 110x^2 - 88x + 132

Therefore, the area of the entire rectangle is 110x^2 - 88x + 132.

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Answer:

  circumcenter

Step-by-step explanation:

You want to know the name of the point equidistant from the vertices of a triangle.

The circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.

The point equidistant from the vertices of a triangle is the circumcenter.

__

Additional comment

The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.

Answer:

the city at a lower altitude would have a colder climate

Answer:

1/2

Step-by-step explanation:

all of the other fraction simplify to 3/4, 1/2 does not

The bond's approximate percentage price change due to both duration and convexity is 0.391 or 39.1%.

To calculate the approximate percentage price change of the bond due to both duration and convexity, we can use the following formula:

Percentage price change = - (duration x change in yield) + (convexity x (change in yield)^2) / (1 + change in yield)

Plugging in the given values, we get:

Percentage price change = - (4.5 x 0.01) + (87.2 x (0.01)^2) / (1 + 0.01)
Percentage price change = -0.045 + 0.00872 / 1.01
Percentage price change = -0.03673

Therefore, the bond's approximate percentage price change due to both duration and convexity is approximately -3.673%. This means that if interest rates rise by 100 basis points, the bond's price will decrease by approximately 3.673%.

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Answer:

They both sold $40 worth of cookies.

Step-by-step explanation:

Using multiples the first multiple that 10 and 8 have in common is 40.

10,20,30,40

8,16,24,32,40

Answer:

I apologize, due to some urgent matters I wont be able to make the corrections to my answer.

Answer:

D. 12 units

Step-by-step explanation:

For a point to be translated x units to the left, we must subtract x from the original point, so the x coordinate for M' is -4 as 4 - 8 = -4

For a point to be translated x units down, we must subtract x from the original point, so the y coordinate for M' is -3 as 6 - 9 = -3

Thus, the coordinates for M' is (-4, -3)

The formula for distance, d, between two points is

\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where (x1, y1) is one point and (x2, y2) is another point.

If we allow M (4, 6) to be our x1 and y1 point and M' (-4, -3) to be our x2 and y2 point, we can find the distance between the two points:

\(d=\sqrt{(4-(-4))^2+(6-(-3))^2}\\ d=\sqrt{(4+4)^2+(6+3)^2}\\ d=\sqrt{(8)^2+(9)^2}\\ d=\sqrt{64+81}\\ d=\sqrt{145}\\ d=12.04159458\)

Answer:

I) no charge

ii) it will be positively charged

iiI) it will be negatively charged

Step-by-step explanation:

An atom is composed of electrons, neutrons and protons. Electrons are negatively charged while protons are positively charged. The number of electrons and protons in a neutral atom are exactly the same. This ensures the electrical neutrality of the atom.

However, if an atom looses an electron, there are now more protons than electrons present in the atom hence the atom is positively charged.

Similarly, if an atom gains an electron, it now contains more electrons than protons, hence it is negatively charged.

The term you are looking for is "data analysis". It refers to a set of techniques and tools used to transform raw data into meaningful information, which can then be used to make informed decisions.

This process typically involves several stages, including data collection, data cleaning, data transformation, data modeling, and data visualization.

By using these methods, analysts can identify patterns, trends, and insights that might otherwise be hidden in large or complex datasets.

Data analysis refers to the process of collecting, cleaning, transforming, modeling, and visualizing data to draw meaningful conclusions. It involves a range of techniques and tools, such as statistical analysis, machine learning, and data visualization, to identify patterns, trends, and insights. Data analysis is a crucial part of many fields, including business, science, healthcare, and government, where data-driven decisions are becoming increasingly important. By using data analysis methods, analysts can turn raw data into actionable information that can be used to improve processes, optimize performance, and make informed decisions.

In today's data-driven world, the ability to collect, analyze, and draw conclusions from data is becoming increasingly valuable. Whether you're a business owner, scientist, or government official, data analysis can help you make more informed decisions and drive better outcomes. By using a collection of methods for collecting, displaying, analyzing, and drawing conclusions from data, you can unlock the full potential of your data and gain a competitive edge in your industry.

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The roots of the equations are: z⁴ + 16 = 0 - Real roots: 2, -2- Complex roots: 2i, -2i

And  z³ - 27 = 0  - Real roots: 3    - Complex roots: None

To find the roots of the given equations, let's solve each equation separately.

1. \( z⁴ + 16 = 0 \)

Subtracting 16 from both sides, we get:

\( z⁴ = -16 \)

Taking the fourth root of both sides, we obtain:

\( z = \√[4]{-16} \)

The fourth root of a negative number will have two complex conjugate solutions.

The fourth root of 16 is 2, so we have:

\( z_1 = 2 \)

\( z_2 = -2 \)

Since we are looking for complex roots, we also need to consider the imaginary unit \( i \).

For the fourth root of a negative number, we can write it as:

\( \√[4]{-1} \times \√[4]{16} \)

\( \√[4]{-1} \) is \( i \), and the fourth root of 16 is 2, so we have:

\( z_3 = 2i \)

\( z_4 = -2i \)

Therefore, the roots of the equation  z⁴ + 16 = 0 are: 2, -2, 2i, -2i.

2.  z³ - 27 = 0

Adding 27 to both sides, we get:

z³ = 27

Taking the cube root of both sides, we obtain:

z = ∛{27}

The cube root of 27 is 3, so we have:

z_1 = 3

Since we are looking for complex roots, we can rewrite the cube root of 27 as:

\( \∛{27} = 3 \times \∛{1} \)

We know that \( \∛{1} \) is 1, so we have:

\( z_2 = 3 \)

Therefore, the roots of the equation  z³ - 27 = 0 are: 3, 3.

In summary, the roots of the equations are:

z⁴ + 16 = 0 :

- Real roots: 2, -2

- Complex roots: 2i, -2i

z³ - 27 = 0 :

- Real roots: 3

- Complex roots: None

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The number of hours it will take the airplane to fly the given distance would be = 4.5 hours

To calculate the number of hours that can be used for the distance, the following needs to be done. That is;

The number of hours it take to complete 3600 miles = 3 hours

Therefore the number of hours it will take to complete 5400miles = X hours.

That is;

3600 miles = 3 hours

5400 miles = X hours

make X the subject of formula;

X = 5400×3/3600

= 16,200/3600

= 4.5 hours.

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Answer:

Your answer is $24

Step-by-step explanation:

5*4 is 20, so all that you have to do it 6*4

Answer:

Step-by-step explanation:

65

Answer:

91.9 feet to the nearest tenth.

Step-by-step explanation:

Let the required distance be x feet.

Using the Pythagoras theorem:

x^2 = 65^2 + 65^2

x^2 = 8450

x = 91.9.

The answer I Given

We want to find value of a and b when x = 10.

We are putting x = 10 in a and b.

So,

�

=

5

×

10

2

2

�

=

5

×

100

2

�

=

5

×

50

�

=

250

a=

2

5×10

2

a=

2

5×100

a=5×50

a=250

and

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=

2

×

10

2

(

10

−

5

)

10

×

10

�

=

2

×

100

×

5

100

�

=

2

×

5

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=

10

b=

10×10

2×10

2

(10−5)

b=

100

2×100×5

b=2×5

b=10

This is a problem of value putting part of Algebra.

Some important Algebra formulas:

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Answer:

Step-by-step explanation: 2 4 1 5 2 1 3 1 3 1 3 4 2 44 5 3 i dont know

Answer:

9

Step-by-step explanation:

1. Just input the x value with -180:

24 (+) -180 / 12 = answer

2. Follow PEMDAS to solve, which in this case division comes before addition:

24 + (-180 / 12)

24 + (-15)

3. Addition

24 + (-15) or 24 - 15

= 9

Therefore, 24 (+) -180 / 12 equals 9.

Answer:

g(x)=x

4

+3x

3

−x

2

−3x

Step-by-step explanation:

1. The area of the scale drawing of the park is 146,880 square inches (Option J).

2. The perimeter of the park is 126 feet (Option D).

3. The length of the south side of the park is 40% of the length of the north side (Option F).

1. To find the area of the scale drawing of the park, we need to calculate the area of the trapezium. The formula for the area of a trapezium is (base1 + base2) * height / 2.

Using the scale, the lengths of the bases (parallel sides) in feet would be:

Base1 = 28 inches * 1.5 feet/inch = 42 feet

Base2 = 40 inches * 1.5 feet/inch = 60 feet

Plugging in the values into the formula, we have:

Area = (42 + 60) * 16 / 2 = 1020 square feet

Since the answer options are in square inches, we need to convert the area back to square inches:

Area = 1020 square feet * 144 square inches/square foot = 146880 square inches

Therefore, the area of the scale drawing of the park is 146880 square inches.

2. The perimeter of the park can be calculated by summing up the lengths of all sides.

The lengths of the sides in feet would be:

Side1 = 28 inches * 1.5 feet/inch = 42 feet

Side2 = 40 inches * 1.5 feet/inch = 60 feet

Side3 = 16 inches * 1.5 feet/inch = 24 feet

Adding up all sides, we have:

Perimeter = Side1 + Side2 + Side3 = 42 feet + 60 feet + 24 feet = 126 feet

Therefore, the perimeter of the park is 126 feet.

3. To find the percentage length of the south side compared to the north side, we can calculate:

Percentage = (South Side Length / North Side Length) * 100

Using the scale, the length of the south side in feet would be:

South Side Length = 16 inches * 1.5 feet/inch = 24 feet

The length of the north side is already given as 40 inches * 1.5 feet/inch = 60 feet.

Plugging in the values, we have:

Percentage = (24 feet / 60 feet) * 100 = 40%

Therefore, the length of the south side of the park is 40% of the length of the north side.

Complete Question:

Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and the radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents 1.5 feet.

1. What is the area, in square inches, of the scale drawing of the park? 448 544 H. 640 672 K. 1.088

2. Mikea's proposal includes installing a fence on the perimeter of the park. What is the perimeter, in feet, of the park? A. 84 B. 88 C. 104 D. 126 E 156

3. The length of the south side of the park is what percent of the length of the north side? F. 112% G. 1245 H. 142 J. 1754 K. 250%

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\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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All the figures can be proven to be parallelograms by the markings.

The properties of parallelogram are:

Parallel opposite sides

Congruent opposite sides

Diagonals may or may not be congruent

Congruent opposite angles

Based on the above properties, all the figures can be proven to be parallelograms

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b + d ≥ 9 this inequality states that the sum of hours babysitting, b, and hours walking dogs, d, must be greater than or equal to 9 in order for Ryan to meet his weekly work requirement.

What is inequality?

In mathematics, an inequality is a statement that compares two quantities, indicating whether they are equal or not, and in what direction they differ. An inequality is represented by one of the following symbols: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to).

The inequality that represents the possible values for the number of hours babysitting, b, and the number of hours walking dogs, d, that Ryan can work in a given week is:

b + d ≥ 9

This inequality states that the sum of hours babysitting, b, and hours walking dogs, d, must be greater than or equal to 9 in order for Ryan to meet his weekly work requirement.

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The arc length of the circle will be 0.35 units.

Using the formula Length of an Arc = r x θ, where is in radians, one can determine the arc length of a circle given its radius and central angle. Arc length is equal to Arc = θ × (π/180) × r, where r is the radius in degrees.

Given that a circle has a radius of 3. An Arc in this circle has a central angle of 20 degrees.

The length of the arc of the circle will be calculated as:-

Arc = θ × (π/180) × r

Arc = 20 x  (π/180) × 3

Arc = 0.35 units

Therefore, the arc length of the circle will be 0.35 units.

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The required choice A represents the exponential function as \(0.10(2)^{t-1}\). Option B is correct.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
Choice A: $0.10 on January 1, $0.20 on January 2, $0.40 on January 3, and $0.80 on January 4, doubling the amount each day.
Which is given as,
\(A = 0.10(2)^{t-1}\)

Choice B: $5.00 on the first day, $10.00 on the second day, $15.00 on the third day, getting $5.00 more each day.
Which is given as,
B = 5 + (n - 1)5

Thus, the required choice A represents the exponential function as \(0.10(2)^{t-1}\). Option B is correct.

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Choice B can be defined using an exponential function: at=5.00(1+0.5)^t-1.

Explanation:

The function for choice B is an example of an arithmetic sequence, where the value increases by a constant amount each day. In this case, the amount increases by $5.00 every day. The general formula for an arithmetic sequence is given by at = a1 + (t - 1)d, where at represents the value on the t-th day, a1 is the value on the first day, and d is the common difference between the terms.

In choice B, a1 = $5.00 and d = $5.00. Therefore, the function becomes at = 5.00 + 5.00(t-1). However, this formula is not an exponential function because it does not involve exponential growth or decay.

Choice A, on the other hand, has a formula that involves doubling the amount each day. This is an example of exponential growth, which can be described using an exponential function. The formula for choice A is given by at = 0.10(2)^t-1, where at represents the value on the t-th day.

Hope this helps you :D

Answer:

y=-2/6x-4

Step-by-step explanation:

Answer:

Y=-3x+4

Step-by-step explanation:

1) m<DCB = <D + <C + <B

180 = 25 + 90 + <C  (Angle Sum Property)

180 = 115 + <C

180 - 115 = <C

65 = <C

The height of the house is √175 feet if the piece of wire 16 feet long is strung from the top of the side of a house to the ground. option (C) is correct.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

As we can see the wire, wall and base making a right angle triangle;

So applying the Pythagoras theorem:

Supposing the length of the wall is x feet

16² = 9² + x²

x²= 175

x = √175 feet

Thus, the height of the house is √175 feet if the piece of wire 16 feet long is strung from the top of the side of a house to the ground. option (C) is correct.

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The derivatives of the vector function are r'(t) = (18 · t, 1, 0), r''(t) = (18, 0, 0) and r'''(t) = (0, 0, 0).

In this question we find the definition of a vector function in terms of time, whose first, second and third derivatives must be found. This can be done by using derivative rules several times. First, define the vector function:

r(t) = (9 · t² + 6, t + 5, 6)

Second, find the first derivative:

r'(t) = (18 · t, 1, 0)

Third, find the second derivative:

r''(t) = (18, 0, 0)

Fourth, find the third derivative:

r'''(t) = (0, 0, 0)

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