Tell whether -2 is a solution of the
inequality 6g – 14 > - 21

Answer:

a) 8x-6y=9 b)4y-9y=9 c)3x+6y=15 d)10x-y=23

a) 12x-9y=6 b) 6x-5y=8 c)-9x-18y=-45 d)5x-2y=-46

Step-by-step explanation

The taxicab distance formula between two points (x1, y1) and (x2, y2) is expressed as

distance = Ix1 - x2I + Iy1 - y2I

From the information given,

x1 = 7, y1 = 5

x2 = 8, y2 = 6

Distance = I7 - 8I + I5 - 6)

Distance = I- 1I + I- 1I = 1 + 1

Distance = 2

Answer:

300

Step-by-step explanation:

375 divided by 5=75

Each “1”=75

4x75=300

There are 300 boys.

Hope this makes sense

Answer:

300 boys

Step-by-step explanation:

Let the number of boys = x

Girls: 375

boys : girls = 4 : 5

total in the ratio is 9

girls are 5/9 of total, and are 375

boys are 4/9 of total

5/9 x = 375

x = 375 × 9/5

x = 675

Boys are 4/9 of total.

4/9 × 675 = 300

Answer:

y(wz)(x)

Step-by-step explanation:

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 total cost of both meals including tip is 24.61, from the information provied.

Total cost (TC), in the field of economics, is the lowest possible cost in terms of money for producing a given output. This is the total economic cost of production, which is made up of two types of costs: fixed costs, which are independent of the quantity of a good produced and include costs such as buildings and machinery, as well as perhaps sunk costs, and variable costs, which vary depending on the amount of a good produced and include inputs such as labour and raw materials.

Every factor of production has a total cost that, depending on whether it has fixed costs or variable costs, includes the total opportunity cost (benefits from the next-best alternative) of each factor.

Marginal cost is the added sum of the costs resulting from adding one more unit of production.

Based on the said conditions, formulate 21.4 × {15%+1}

= 21.4 × {0.15+1}

= 21.4 × 1.15

= 24.61

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Answer: 6 to 24

Step-by-step explanation:

The expression that can be used to find the value of x is ∘23sin85∘​/sin55∘, the correct option is A

We are given that;

In triangle DEF, EF=23, DE=x, angleD=85degree, angleF=55degree

Now,

To find the value of x, we can use the law of sines with the given information:

sin85∘x​=sin55∘23​

Solving for x, we get:

x=sin55∘23sin85∘​

Using a calculator, we can approximate x as:

x≈26.6

Therefore, by the given angles the answer will be ∘23sin85∘​/sin55∘

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The subspace spanned by the vectors ry(n) = 2cos(pi/4n) and 4cos(pi/2n) can be determined by analyzing the linear combinations of these vectors. The subspace is a set of all possible vectors that can be obtained by scaling and adding these basis vectors.

The subspace spanned by the vectors ry(n) = 2cos(pi/4n) and 4cos(pi/2n) consists of all possible linear combinations of these two vectors. By scaling and adding these basis vectors, we can obtain different vectors within the subspace.

To fully characterize the subspace, we need to consider the range of values that "n" can take. The values of "n" determine the specific angles used in the cosine functions, which in turn determine the values of the vectors ry(n). The specific range of "n" would determine the range of possible vectors within the subspace.

Without further information regarding the range or constraints on "n," it is challenging to provide a more specific description of the subspace spanned by these vectors. The subspace will depend on the values of "n" and the resulting vectors obtained from the linear combinations.

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The volume of a cube is given by the formula V = s^3, where s represents the length of one side of the cube. In this case, the length of one side is given as 5 feet.

To express the volume of the cube as a function of m, the number of minutes elapsed, we need to consider that the edge of the cube is increasing at a rate of 3 feet per minute.

Since the length of one side of the cube is increasing by 3 feet every minute, after m minutes, the length of one side will be 5 + 3m feet.

Therefore, the volume of the cube, as a function of m, can be expressed as:

V(m) = (5 + 3m)^3

To simplify this expression, we can expand the cube:

V(m) = (5 + 3m)(5 + 3m)(5 + 3m)

Using the distributive property, we can multiply each term:

V(m) = (25 + 15m + 15m + 9m^2)(5 + 3m)

Simplifying further:

V(m) = (25 + 30m + 9m^2)(5 + 3m)

Now, we can multiply each term:

V(m) = 25(5 + 3m) + 30m(5 + 3m) + 9m^2(5 + 3m)

V(m) = 125 + 75m + 150m + 90m^2 + 45m^2 + 27m^3

Combining like terms:

V(m) = 125 + 225m + 135m^2 + 27m^3

So, the volume of the cube, as a function of m, is V(m) = 27m^3 + 135m^2 + 225m + 125.

This function represents how the volume of the cube changes as time passes, considering the increasing length of one side at a rate of 3 feet per minute.

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Answer:

150

Step-by-step explanation:

See the attached picture for the step-by-step (it was easier to write it in MS Word than in latex)

The study of statistics rests on two major​ concepts probability which  is the branch of mathematics that deals with the likelihood of events occurring and Data Analysis is the process of examining and interpreting data in order to gain insights and make better decisions

Probability theory is based on the idea that, given enough data, the frequency of an event can be predicted and allows for the formulation of mathematical models that can quantify the likelihood of particular outcomes. Probability is the foundation of statistics and helps to explain the behavior of chance events.It involves the collection, organization, and analysis of data from a variety of sources, such as survey responses, observations, experiments, or existing databases.

Data analysis is used to identify patterns and relationships in data, draw conclusions, and make decisions. It is an important part of statistics, as it helps to uncover insights that would otherwise remain hidden. Data analysis tools, such as statistical models, can be used to gain greater insight into the data.

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The answer is

7x-1/8x

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

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The statement is true. Multiplication is commutative, which means that the order of multiplication does not affect the result.

The statement "0 x 5 = 5 x 0" is true because of the commutative property of multiplication. In multiplication, the order of factors does not change the result.

When we multiply 0 by 5, it equals 0 since anything multiplied by 0 is 0. Similarly, when we multiply 5 by 0, the result is still 0. Both expressions are equal to 0, confirming the commutative property.

In summary, 0 x 5 and 5 x 0 are interchangeable and yield the same result, proving the truth of the statement based on the fundamental property of multiplication.

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Answer:

The tip amount is $7.80.

Step-by-step explanation:

To calculate the tip amount, you can multiply the bill amount by the tip percentage.

Tip amount = Bill amount * Tip percentage

In this case, the bill amount is $39 and the tip percentage is 20%.

Tip amount = $39 * 0.20 = $7.80

Rounding the answer to the nearest hundredth, the tip amount is $7.80.

Answer:

$7.80

Step-by-step explanation:

$39 x 0.2 = $7.80

Answer:

$16.70

Step-by-step explanation:

9.5 miles / .25 = 38

The first mile is 1.25 so we do this

37 * .35 = 12.95

12.95 + 1.25 = 14.2

14.2 + 1.25 + 1.25(two additional passengers) = 16.70

Step-by-step explanation:

please mark me as brainlest

Answer:

-0.88

Explanation:

2/3 + 4/5 x 7/5 - 8/3​

2/3 + 28/25 - 8/3

2/3 - 8/3 + 28/25

-6/3 + 28/25

-2 + 28/25

-50/25 + 28/25

-22/25

-0.88

Answer: 16

Step-by-step explanation:

A data point would be 1 on the vertical axis meaning you can simply add everything up.

Data Points:

0-1: 1

1-2: 3

3-4: 1

4-5: 1

5-6: 2

6-7: 4

7-8: 2

8-9: 1

10-11: 1

Sum: 16

Answer:

5,4 and 4,4

Step-by-step explanation:

Every quadratic nonresidue of p is a primitive root of p, when p = 2^k + 1 is primeIf p = 2^k + 1 is a prime number, we want to show that every quadratic nonresidue of p is a primitive root of p.

In other words, we aim to prove that if an element x is a quadratic nonresidue modulo p, then it is also a primitive root of p.

Let's assume p = 2^k + 1 is a prime number. To prove that every quadratic nonresidue of p is a primitive root of p, we can use the properties of quadratic residues and quadratic nonresidues.

A quadratic residue modulo p is an element y such that y^((p-1)/2) ≡ 1 (mod p), while a quadratic nonresidue is an element x such that x^((p-1)/2) ≡ -1 (mod p).

Now, let's consider an element x that is a quadratic nonresidue modulo p. We want to show that x is a primitive root of p.

Since x is a quadratic nonresidue, we know that x^((p-1)/2) ≡ -1 (mod p). By Euler's criterion, this implies that x^((p-1)/2) ≡ -1^((p-1)/2) ≡ -1^2 ≡ 1 (mod p).

Since x^((p-1)/2) ≡ 1 (mod p), we can conclude that the order of x modulo p is at least (p-1)/2. However, since p = 2^k + 1 is a prime, the order of x modulo p must be equal to (p-1)/2.

By definition, a primitive root of p has an order of (p-1). Since the order of x modulo p is (p-1)/2, it follows that x is a primitive root of p.

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Answer:

2.6 kilometers

Step-by-step explanation:

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:

Circumference = π * 840

Using the approximate value of π as 3.14159, we can calculate the circumference:

Circumference = 3.14159 * 840

Circumference ≈ 2643.1796 meters

To convert the circumference to kilometers, we divide the value by 1000:

Circumference in kilometers = 2643.1796 / 1000

Circumference ≈ 2.6432 kilometers

Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).

Answer:

4.5 ounces

Step-by-step explanation:

Given data

Total weight=14 ounces

1st kitten= 1/4pound = 4 ounces

2nd kitten= 5.5 ounces

3rd kitten = x ounces

Let the expression for the total weight be

4+5.5+x=14

solve for x

9.5+x=14

x= 14-9.5

x=4.5 ounces

Hence the 3rd kitten weighs 4.5 ounces

y = -8x + 5

y - 9 = -2(x+1)

y - 9 = -2x - 2

y = -2x +7

y + 2 = 6(x+10)

y + 2 = 6x + 60

y = 6x + 58

The linear function has the steepest slope is y = -8x + 5

A)y = -8x + 5

B) y – 9 = -2(x+1)

⇒y – 9 = -2x - 2

⇒y = -2x +7

C) y=7x-3

D) y + 2 = 6(x+10)

⇒y + 2 = 6x + 60

⇒y = 6x + 58

Steepest slope is determined by the greatest value of gradient(m).

Therefore, The linear function has the steepest slope is y = -8x + 5

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Given that a rectangle ABCD, where AB = 4, side BC that AP 3 and P lies on diagonal AC such 3/2. We have to find the distance PB.Solution:In the given rectangle ABCD,AB = 4Therefore,

AD = BC = 4 [because opposite sides of a rectangle are equal]P lies on diagonal AC and AP = 3We have to find PBWe will use the Pythagorean theorem and properties of similar triangles to find the distance PB.From triangle APD,

Using Pythagorean theorem,PD2 = AD2 + AP2 = 42 + 32 = 16 + 9 = 25PD = √25 = 5From triangle ABC,Using Pythagorean theorem,AC2 = AB2 + BC2 = 42 + BC2BC2 = AC2 - AB2= (3/2)2 - 42= 9/4 - 16= - 55/4 [As, the value inside the square root can't be negative, Therefore PB can't exist, and we can say that PB is imaginary or it doesn't exist]Hence, the distance PB is imaginary or it doesn't exist.

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The equation of the straight line that has x-intercept 1 and y-intercept 4 is:

4x - y = 4

"A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point."

Given, the line has a x-intercept of 1 and y-intercept of 4. T

Therefore, the line passes through the points (1, 0) and (0, 4).

Now, we can find the slope of the line 'm' that passes through those either points.

Therefore, (x₁ - x₂) = m(y₁ - y₂)

⇒ (1 - 0) = m(0 - 4)

⇒ m = \(\frac{1}{4}\)

Now, the equation of the line that has x-intercept 1 and y-intercept 4 is:

(x - x₁) = m(y - y₁)

⇒ (x - 1) =      \(\frac{1}{4}\)(y - 0)

⇒ 4(x - 1) = y

⇒ 4x - y = 4

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The margin of error is a measure of the degree of uncertainty associated with the point estimate of a population parameter. Confidence intervals are constructed to estimate the true value of a population parameter with a certain level of confidence.

The margin of error and the width of the confidence interval are related, in that a larger margin of error implies a wider confidence interval.

When constructing a one-sample z-confidence interval to estimate the population proportion, the margin of error increases as the sample size increases. This is because larger sample sizes provide more information about the population and, as a result, the estimate becomes more precise. Conversely, as the sample size decreases, the margin of error increases, making the estimate less precise.

The margin of error also increases as the population proportion approaches 0.50. This is because when p=0.50, the population is evenly split between the two possible outcomes. As a result, more variability is expected in the sample proportions, leading to a larger margin of error.

Finally, the margin of error decreases as the confidence level (1-a) increases. This is because a higher confidence level requires a wider interval to account for the additional uncertainty associated with a higher level of confidence. In conclusion, the margin of error in one-sample z confidence intervals is affected by sample size, population proportion, and confidence level.

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The y-intercept for this situation shows that the speed of the ship sailing is 0 miles per second during the time t = 4 seconds, after that the speed keeps on decreasing.

Look into the fact that the vector of acceleration points in the same general direction as the vector of velocity change. This indicates that whether you add to or subtract from the velocity depends on the direction of the acceleration.

The graph is shown for the distance travelled by the ship with time by Clare.

Thus, the y-intercept for this situation shows that the speed of the ship sailing is 0 miles per second during the time t = 4 seconds, after that the speed keeps on decreasing.

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