Find x
(4+25)
(6x+20)
(3x+25)

In New York, Westchester County's district attorney's office prosecuted more than a hundred environmental crimes through its Environmental Crimes Bureau from 2003 - 2009.

The Westchester County district attorney's office has an Environmental Crimes Bureau that is responsible for investigating and prosecuting crimes related to the environment. These crimes can include illegal dumping, pollution, hazardous waste violations, and other environmental offenses.

During the period from 2003 to 2009, the district attorney's office was actively prosecuting environmental crimes. To find the specific number of environmental crimes prosecuted during that time frame, you may need to consult official records or contact the district attorney's office directly.

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Answer:

x=0

Step-by-step explanation:

2x-9=0

2x=9

x=9/2

4x+10=0

4x=-10

x=-5/2

2(9/2)-9 =0

4(-5/2)+10=10

The value will be \(\frac{3a}{8}\)

What are arithmetic operations?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

In the following question it is asked to perform three of these operations.

Subtraction, Multiplication, Division are to be performed here.

Difference of \(9\) and \(6\) is \(9-6=3\).

\(a\) times the difference of  \(9\) and \(6\) is \(3a\)

Product of \(3\) and \(4\) is \(12\).

\(a\) times the difference of  \(9\) and \(6\) divided by the Product of \(3\) and \(4\) is \(\frac{3a}{12}\)Since \(3\) is a common factor for both \(3,12\) it gets cancelled out.

So now we can write \(\frac{3a}{12} =\frac{a}{4}\).

Therefore the final answer is \(\frac{a}{4}\).

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Answer:

Step-by-step explanation:

This is a linear relationship. We know this because as the number of songs increases by 10,000 the amount of money increases $2500. We can use that relationship in a proportion, which is a method used to solve problems involving directly proportional numbers.

If we arrange our information such that the dollars earned are on the top of the fraction and the number of songs that need to be downloaded to earn that amount of money is on the bottom of the fraction, here is what we have:

\(\frac{2500}{10,000}\). This means that the artist receives $2500 for every 10,000 downloads. Keeping in that pattern, we can find out how much money he will earn when 500,000 downloads are completed, assuming that the amount he earns per 10,000 songs doesn't change.

\(\frac{2500}{10000}=\frac{x}{500000}\) and cross multiply to get

10,000x = 1250000000 and divide to get

x = 125,000

That is the amount that he will earn from 500,000 downloads.

\(\frac{$}{#}\)

Store of Value: people are willing to hold onto it because they're confident that it will keep its value over time.

In Economics, money can be defined as any formally recognized economic unit that is universally accepted as a medium of exchange for goods (products) and services, as well as repayment of debts such as taxes, levies, fees, and loans, across the world.

Generally speaking, money is universally accepted as a medium of exchange because it possesses six (6) essential characteristics and these include the following:

In conclusion, we can reasonably infer and logically deduce that store of value is a measure of the durability of money.

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The corrrect statements about angle are:

Please refer to the attached picture below for visualization of the angles.

Based on the attached picture, we can consider the relationship of each angle, such as:

Alternate interior angles and congruent:

Angle 4 and angle 5

Angle 3 and angle 6

Alternate exterior angles and congruent:

Angle 1 and angle 8

Angle 2 and angle 7

Consecutive interior angles and supplementary:

Angle 3 and angle 5

Angle 4 and angle 6

Corresponding angles and congruent:

Angle 1 and angle 5

Angle 2 and angle 6

Angle 3 and angle 7

Angle 4 and angle 8

Vertical angles and congruent:

Angle 1 and angle 4

Angle 2 and angle 3

Angle 5 and angle 8

Angle 6 and angle 7

Supplementary angles:

Angle 1 and angle 2

Angle 3 and angle 4

Angle 5 and angle 6

Angle 7 and angle 8

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Answer:

3

Step-by-step explanation:

Well, both triangles are equilateral so all sides measure the same. Because of this, we can determine the scale by seeing how much the first triangle is different from the second.

3 x 3 = 9, so therefore the triangle tripled in size.

Hope this was helpful!!

Answer:

Semi circle:39.26990817

Trapezoid:27

Triangle:15

Figure:81.26990817

I personally think this is F,unless I did it wrong,was I supposed to multiply the shapes together or add the areas of the shapes together? Even if I multiplied, it would still not be listed....

Step-by-step explanation:

Answer:

F) not listed

Step-by-step explanation:

We can break this down into 3 separate shapes

top = semi-circle

middle = trapezoid

bottom = triangle

the area formulas for each are as follows

semi-circle = (1/2)pi r^2 : r = radius

trapezoid = (1/2)h(a+b) : h = height a = top base b = bottom base

triangle = (1/2)bh : b = base h =height

top calculation:

(1/2)pi(5)^2 = (1/2)pi(25) = 39.23

middle calculation:

(1/2)(3)(10+8) = 27

bottom calculation:

1/2(8-1.5-1.5)(6) = 15

39+27+15 = 81 in^2

Answer:

I'm pretty sure the answer is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

In triangle LON, <O = 90°

According to Pythagoras' Theorem

(Hyp)² = (Base)² + (Perp)²

m² = 4² + 8²

m² = 16 + 64

m² = 80

Taking square roots on both sides

√m² = √80

m = 8.94

In triangle LMN, <N = 90°

According to Pythagoras' Theorem

(Hyp)² = (Base)² + (Perp)²

(8 + k)² = l² + 4²

Answer:

central angle ( θ) = 1.91875radians

central angle ( θ) in degrees = 109.92degree

Step-by-step explanation:

Given:

diameter of 320 millimeters

Then the Radius of the circular

brake drum can be calculated as

Radius =Diameter/2

Radius = 320 millimeters/ 2

Radius= 160 millimeters

central angle ( θ) = arc/r

central angle ( θ) = 307 millimeters /160 millimeters

central angle ( θ) = 1.91875radians

Than to convert it to degrees we have

1rad × 180/π = degree

Where π =3.142

central angle ( θ) = 1.91875radians * 180/π

Therefore,central angle ( θ) in degrees = 109.92degree

Answer:

Step-by-step explanation:

To solve for x, isolate it on one side of the equation.

Use a distributive property.

a(b+c)=ab+ac

a(b-c)=ab-ac

2(x-14)

2*x=2x

2*14=28

=2x-28

-5x>2x-28

Subtract by 2x from both sides.

-5x-2x>2x-28-2x

Solve.

-7x>-28

Multiply by -1 from both sides.

\(\sf{\left(-7x\right)\left(-1\right) < \left(-28\right)\left(-1\right)}\)

Solve.

-7x*-1=7x

-28*-1=28

7x<28

Divide by 7 from both sides.

7x/7<28/7

Solve.

Divide these numbers from left to right.

28/7=4

\(\Rightarrow \boxed{\sf{x < 4}}\)

Therefore, the final answer is b. x<4.

I hope this helps, let me know if you have any questions.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-5x > 2(x-14) } \end{gathered}$}}\)

Use distributive property to multiply 2 by x−14.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-5x > 2x-28 } \end{gathered}$}}\)

Subtract 2x on both sides.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-5x-2x > -28 } \end{gathered}$}}\)

Combine −5x and −2x to get −7x.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-7x > -28 } \end{gathered}$}}\)

Divide both sides by −7. Since −7 is <0, the direction of inequality is changed.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{x < \dfrac{-28}{-7} } \end{gathered}$}}\)

Divide −28 between −7 to get 4.

\(\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{x < 4 } \end{gathered}$}}}\)

Answer:

yes

Step-by-step explanation:

every hours of training has mapped to monthly pays and each element in hour of training has mapped to unique element in monthly pay.

The sine of 0 radians is 0.

In trigonometry, the sine of an angle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse of a right-angled triangle.

When the angle is 0 degrees (or 0 radians), the opposite side has a length of 0, and thus the ratio is also 0. Therefore, the sine of 0 radians is 0.

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 0 is the angle formed by the two sides x and r; r moving counterclockwise is the positive angle.

Note that, the sine function maps an angle to a value which is between -1 and 1, with a periodic nature, meaning that the values repeat in a cycle as the angle increases.

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The proportion of the group who don't wear glasses or contact lenses is 0.505, which is equal to 50.5% of the total group.

Let us assume that the total number of people in the group to be x.

Among the group of people, 3/8th of the people wear glasses, and 12% of the people wear contact lenses. We need to find the proportion of people who do not wear glasses or contact lenses.

Number of people in the group who wear glasses = 3/8 of x

Number of people in the group who wear contact lenses = 12% of x

Now, none of the group wears both glasses and contact lenses. Therefore, the number of people in the group who wears both glasses and contact lenses = 0

The number of people who wear both glasses and contact lenses is zero.

So, number of people in the group who wear either glasses or contact lenses = (3/8)x + 12% of x = (3/8)x + 0.12x = (0.375 + 0.12)x = 0.495x

Therefore, the number of people who wear either glasses or contact lenses is 0.495 times the total number of people in the group.

So, number of people in the group who wear neither glasses nor contact lenses = x - 0.495x = 0.505x

We know that, the total number of people in the group is x.

Therefore, the proportion of the group who don't wear glasses or contact lenses is (0.505x / x) = 0.505, which is equal to 50.5% of the total group.

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Answer:

Step-by-step explanation:

(-2, 0) (0, 4)

(4 - 0)/(0 + 2) = 4/2 = 2

y - 0 = 2(x + 2)

y = 2x + 4

Answer:

I'm not sure of the answer

According to the question and after using the Pythagorean theorem the length of one side of the roof is 7.416 metres.

The Pythagorean Theorem is a mathematical formula used to determine the length of the sides of a right triangle. It is named after the Greek mathematician Pythagoras, who is credited with discovering the formula in the 6th century BC. The theorem states that the sum of the squares of the two shorter sides of the triangle is equal to the square of the hypotenuse (the longest side of the triangle). In equation form, it is expressed as a² + b² = c², where a and b are the lengths of the two shorter sides of the triangle and c is the length of the hypotenuse.

We know that the hypotenuse is 8 metres (the width of the shed) and the two shorter sides are 3 metres (the height of the walls) and y (the length of the side of the roof).
Therefore, using the Pythagorean theorem, we have:
3² + y² = 8²
9 + y² = 64
y² = 55
y = √55
y = 7.416 metres
Therefore, the length of one side of the roof is 7.416 metres.

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Answer:

The set of numbers 3 in, 4 in, and 5 in can form a triangle. a) is correct

Explanation:

A triangle is possible to be drawn only if the sum of the lengths of any two sides is greater than the length of the third side.

a) Is correct.

Testing all the posible combinations: 3+4>5, 4+5>3, 3+5>4. True. Hence, Option a is the correct choice,

b) Is incorrect

Since 1+7>8 is false, this choice is not correct

c) Is incorrect

Since 3+5>9 is false, this choice is not correct

Option-c is correct that is F.DIST.RT(x, Deg_freedom1, Deg_freedom2) when the right-tailed probability for a value x on the F(df1,df2) distribution.

Given that,

We have to find which option is correct  for the right-tailed probability for a value x on the F(df1,df2) distribution.

We know that,

returns the degree of diversity (right-tailed) F probability distribution for two data sets. This function can be used to compare the levels of diversity between two data sets. For instance, you may compare the test results of high school freshmen who are men and women to see if there is a difference in the variability between the sides.

Syntax

F.DIST.RT(x,deg_freedom1,deg_freedom2)

The following arguments are used with the F.DIST.RT function syntax:

The value at which the function should be evaluated.

Degrees of freedom numerator required: Deg freedom1.

Degrees of freedom in the denominator, required by Deg freedom2.

Therefore, Option-c is correct that is F.DIST.RT(x, Deg_freedom1, Deg_freedom2) when the right-tailed probability for a value x on the F(df1,df2) distribution.

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Answer:

Event 4: The probability of the sum being greater than 5 is 5/36.

Event B: The probability of the sum being divisible by 3 is 12/36.

Answer:

94.917

Step-by-step explanation:

6834/72 = 94.916666

Answer:

37,512

Step-by-step explanation:

Total # of  5 -digit numbers  =9×104=90,000

Total # of  5 -digit numbers that do not contain  3=8×94=52,488

Total # of  5 -digit numbers that contain at least one  3=90,000−52,488=37,512

(5) All snow geese can eat for 11.5 days before the research and rescue center runs out of supplies.

What is snow geese?

Despite having a reputation for having white feathers, many snow geese are actually blue geese, which are darker, gray-brown birds. These birds were formerly believed to be two distinct species, however it has recently been discovered that they are actually just two color variants of the same bird. The variation in color is controlled by a single gene.

9 snow geese are housed in the research and rescue center.

Each geese consumed 16 ounces of seeds, therefore that's how much.

Therefore, the amount of seeds consumed by 9 snow geese is equal to (16*9) ounces.

144 ounces of seeds were consumed by 9 snow geese.

There are currently 1,656 ounces of seeds.

Thus, the number of days before the center runs out of food is equal to the sum of the ounces of seeds eaten by the nine snow geese divided by the total ounces of seeds.

Days till the food center runs out of supplies = 1656/144

11.5 days are required until the center runs out of food.

Hence, all snow geese can eat for 11.5 days before the research and rescue center runs out of supplies.

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Answer:

b) \(x^2 + 6x + 8\)

Step-by-step explanation:

Para ampliar la habitación cuadrada, se agregaron 4 metros de largo y 2 metros de ancho, como se muestra en la figura.

Deje que la longitud y el ancho de la habitación antes de la expansión sean x.

La nueva longitud de la sala es (x + 4).

El nuevo ancho de la sala es (x + 2).

La nueva área de la sala será:

\((x + 4)(x + 2)\\x^2 + 2x + 4x + 8\\x^2 + 6x + 8\\\\\)

Esa es la nueva área de la habitación.

The Huffman code for the characters with the given frequencies is as follows:
A: 00
B: 01
C: 10
D: 110
E: 1110
F: 11110
G: 11111


1. Sort the characters based on their frequencies in ascending order: G(2), F(3), E(5), D(10), C(20), B(30), A(40).
2. Create a tree by combining the two characters with the lowest frequencies, and add their frequencies: (G,F)=5.
3. Repeat the process, combining the next lowest frequency characters/nodes, and add their frequencies: (E,(G,F))=10.
4. Continue this process until you have combined all characters/nodes into a single tree: (((G,F),E),D,C,B,A).
5. Traverse the tree and assign 0 to the left branch and 1 to the right branch at each level. Read the code from the root to each character.


Using the Huffman coding algorithm, we have generated an efficient binary code for each character based on their frequencies. The resulting tree and codes for each character are as listed in the main answer.

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Answer:

17 kg ≈ 37.48 lb.

Step-by-step explanation:

To convert kilograms (kg) to pounds (lb), we can use the conversion factor 1 kg = 2.20462 lb.

So,

17 kg ≈ 17 * 2.20462 lb ≈ 37.48 lb (rounded to the nearest hundredth).