PLEASEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answer:

x=7/2  x=7/3

Step-by-step explanation:

Answer:

Step-by-step explanation:11/2x(8-4)=22

Answer: The slope is 4/3

Step-by-step explanation:

Whatever number is attatched to the "x" is the slope.

Answer:

Slope: M = 4/3

Y-Intercept: : (0,−1)

Step-by-step explanation:

Answer:

1) 7995.9 feet

2) 12 degrees

Step-by-step explanation:

1)

We can start by drawing a diagram of the situation. Let's label the height of the tower as "h", the distance from the airplane to the tower as "d", and the angle of depression as 56°.

  C (top of tower)

               /|

              / |

             /  |h

            /   |

           /θ   |

    A_____/_____|

        d   B

In this diagram, point A represents the airplane, point B represents the base of the tower, and point C represents the top of the tower. The angle θ is the angle of depression from the airplane to the top of the tower.

We can use trigonometry to solve for the distance "d" from the airplane to the tower. In particular, we know that:

tan(θ) = h / d

We can rearrange this equation to solve for "d":

d = h / tan(θ)

Substituting the values we know, we get:

d = 320 / tan(56°)

Using a calculator, we can evaluate this to get:

d ≈ 215.8 feet

However, the airplane is flying at an altitude of 7,450 feet, so we need to add this to the height of the tower to get the total distance from the airplane to the ground:

total distance = d + 320 + 7,450

Plugging in the value we found for "d", we get:

total distance ≈ 7995.8 feet

Rounding to the nearest tenth, we get:

total distance ≈ 7995.8 ≈ 7995.9 feet

2)

We can use the tangent function to find the angle of depression. Let theta be the angle of depression. Then:

tan(theta) = (275 / 1324)

We can solve for theta by taking the inverse tangent (or arctan) of both sides:

theta = arctan(275 / 1324)

Using a calculator, we find:

theta ≈ 11.92 degrees

Rounding to the nearest whole number, we get:

The angle of depression is approximately 12 degrees.

From the figure , and by using congruent complements theorem, the angle that is congruent to angle4 is (a) angle1  .

The "Congruent Complements Theorem" states that if two angles are complementary to same angle, then they are congruent. In other words, if two angles add up to 90 degrees, and they both complement the same third angle, then they are equal in measure.

The ∠4 and ∠5 are the complements and ∠1 and ∠5 are complements.

Which proves that :  ∠1 and ∠4 are complimentary to the same angle that is ∠5.

Therefore, the ∠ 1 is congruent to angle 4 .

The given question is incomplete , the complete question is

From the figure below , the angle 4 and angle 5 are complements and angle 1 and angle 5 are complements , By using the congruent complements theorem, which angle is congruent to angle4 ?

(a) angle1

(b) angle2

(c) angle3

(d) angle5

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If Point P is located at (6, -13). Point Q is located at (6,-43). The length of PQ is 30

Utilize the distance equation: d = [(x2 - x1)2 + (y2 - y1)2]

Change the numbers for (x1, y1) and (x2, y2), the coordinates of the ends.

Calculate the length of the line segment to obtain its value.

A line is a one-dimensional figure without a beginning or an end. It reaches infinity on both sides. It therefore has an indefinite length.

In the above question,

From the distance formula

d = root [(x2 - x1)2 + (y2 - y1)2]

  = root [(6-6)2+(-13+43)2]

   = 30 units

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Answer:

The new volume is 81.2% of the prior, this is true for any for any values of radius and height, as long as they are changed as stated.

Step-by-step explanation:

The volume of a cylinder is given by:

\(V = \pi*r^2*h\)

If we increase the diameter by 15%, then the radius is increased by 7.5% and the new radius is:

\(r_{new} = 1.075*r\)

If we decrease the height by 30%, then the new height is 70% of the prior and is given by:

\(h_{new} = 0.7*h\)

Applying to the volume formula we have:

\(V_{new} = pi*(r_{new})^2*h_{new}\)

\(V_{new} = \pi*(1.075*r)^2*0.7*h\\V_{new} = 1.16*0.7*\pi*r^2*h\\V_{new} = 0.812*\pi*r^2*h\\V_{new} = 0.812*V\)

The new volume is 81.2% of the prior, this is true for any for any values of radius and height, as long as they are changed as stated.

Answer:

Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.

Step-by-step explanation:

Following the steps taken :

4x - 2y = 4 - - - (1)

3x + 3y = 21 - - - (2)

Multiply (1) by 3 and (2) by 2

12x - 6y = 12 - - - (3)

6x + 6y = 42 - - - (4)

Add (3) and (4)

18x = 54

x = 54/18

x = 3

Put x = 3 in (1)

4(3) - 2y = 4

12 - 2y = 4

-2y = 4 - 12

-2y = - 8 (this is where the mistake lies)

It shouldn't be 2y = - 8 as stated

Answer:

The other dude is right.

Step-by-step explanation:

the answer

155

324

5/9 (87/3(1/12)= 155/324

Answer:D 672

Step-by-step explanation: (12 x 8)x 7=672

Answer:

0.0086

Step-by-step explanation:

9514 1404 393

Answer:

  3x -5y = -38

Step-by-step explanation:

The equation of the perpendicular line can be formed by swapping the coefficients of x and y in the given equation, negating one of them. The new constant will be the one that lets the given point satisfy the equation.

  given: 5x +3y = 5

  perpendicular: 3x -5y = constant

At the given point, the constant is ...

  3(-6) -5(4) = -18 -20 = -38

So, the desired equation is ...

  3x -5y = -38

Answer:

5 units

Step-by-step explanation:

Luckily, we don't need to use the distance formula as we just need to find the distance between the x-coordinates. Thus, |4-9| = |-5| = 5, which means that the distance between (4,-3) and (9,-3) is 5 units

Answer:

5

Step-by-step explanation:

Point (4, -3) and point (9, -3) have the same y-coordinate of -3.  Therefore, both points are on the line y = -3.

Any line that is y = {number} is a horizontal line.

Therefore, to find the distance between the points, find the difference between the x-values:

9 - 4 = 5

Therefore, the distance between (4, −3) and (9, −3) is 5

Answer:

$5,831

Step-by-step explanation:

$5,831

Answer:

$20

Step-by-step explanation:

Answer:

Line CD

Step-by-step explanation:

The another name for line P is line \(\over (CD)\).

It is required to find the  another name for line P.

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

To answer this type of problem we have to know the axiom.

At least two points define a line.

Then I can call line p as (see below attached picture)

The line p cuts the 2 different points , point C and point D, so we can.t indicate a line in a single letter of the Western Alphabet.

Therefore, the another name for line P is line \(\over (CD)\).

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The inequality that represents the given statement is (C) f - 3 / 5 ≥ -4/7 or f plus 3 over 5 is greater than negative 4 over 7.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

The equation-like form of the formula 5x − 4 > 2x + 3 has an arrowhead in place of the equals sign.

It is an illustration of inequity.

This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.

Finding the x numbers for which the inequality holds true is what we are most interested in.

So, the answer to the query is:

A number's deviation from three-fifths is equal to f - 3/5.

The entire statement is at least four sevenths in the negative.

Therefore, the inequality that represents the given statement is (C) f - 3 / 5 ≥ -4/7 or f plus 3 over 5 is greater than negative 4 over 7.

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Complete question;
Write the inequality for the statement:

the difference between a number and three-fifths is a minimum of negative four sevenths

f minus 3 over 5 is greater than or equal to 4 over 7

f minus 3 over 5 is greater than or equal to negative 4 over 7

f plus 3 over 5 is greater than negative 4 over 7

f minus 3 over 5 is less than or equal to negative 4 over 7

The colors of automobiles are qualitative variables.

Qualitative data deals with traits and qualities that are difficult to quantify but can be perceptually experienced, such as flavors, sensations, looks, and colors. In general, you create quantitative data when you measure something and assign it a numerical value.

A qualitative variable, often known as a categorical variable, classifies a quality of something to characterize it. A wonderful illustration of anything that may be categorized is the hues of the cars in a parking lot: red, green, blue, black, white, etc. As a result, this is a qualitative variable.

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When using the Present Online option in PowerPoint, there are several ways to share the presentation: share the link, open using web browser, allow on web page.

The best ways for Carlos to share the presentation using this option are: share a link, email the presentation, and embed the presentation. The correct options are:1. Share a link: When Carlos chooses to share the presentation online, he has the option to share a link.

By choosing this option, he can send the link to his staff via email or message and they can open the presentation on their devices using a web browser.2. Email the presentation: Carlos can also choose to email the presentation to his staff directly from PowerPoint.

This will allow them to download and view the presentation on their own computers.3. Embed the presentation: If Carlos has a website or blog, he can embed the presentation on a webpage for his staff to view. This will allow them to view the presentation without having to download it separately.

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(a) A basis for the solution space of the homogeneous system of linear equations is:

{(-3, 1, 0, 0), (-5, 0, -5, 1)}

(b) The dimension of the solution space is 2.

To find a basis for the solution space, we first write the augmented matrix of the system and row-reduce it to its echelon form or reduced row-echelon form.

Then, we identify the free variables (variables that can take any value) and express the dependent variables in terms of the free variables. The basis for the solution space consists of the vectors corresponding to the free variables.

In this case, after performing row operations, we obtain the reduced row-echelon form:

[1 0 -1 -1 0]

[0 1 3 2 0]

[0 0 0 0 0]

The first and second columns correspond to the free variables x3 and x4, respectively. Setting these variables to arbitrary values, we can express x1 and x2 in terms of x3 and x4 as follows: x1 = -x3 - x4 and x2 = -3x3 - 2x4. Therefore, a basis for the solution space is {(-3, 1, 0, 0), (-5, 0, -5, 1)}.

Since the basis has 2 vectors, the dimension of the solution space is 2.

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Answer: 16x+3x^3−8

Please mark me brainliest :)

The point on the ellipse \(x^2 + 2y^2 + 2xy = 18\) with the greatest x-coordinate is:

Point: (√(18/5), √(18/5))

To find the point on the ellipse \(x^2 + 2y^2 + 2xy = 18\) with the greatest x-coordinate, we need to maximize the value of x.

Let's start by rewriting the equation of the ellipse in a more convenient form:

\(x^2 + 2y^2 + 2xy = 18\)

Rearranging the terms, we have:

\(x^2 + 2xy + y^2 + y^2 = 18\)

Factoring the quadratic terms, we get:

\((x + y)^2 + y^2 = 18\)

Now, we can see that this equation represents an ellipse centered at the origin (0,0). To find the point on the ellipse with the greatest x-coordinate, we need to find the point where the sum (x + y) is maximum.

To achieve this, we need to determine the maximum value for (x + y). Since the ellipse is symmetric about the origin, the maximum value of (x + y) will occur when x and y have the same value.

Let's set x = y and substitute it into the equation:

(x + x)^2 + x^2 = 18

Simplifying further:

4x^2 + x^2 = 18

Combining like terms:

\(5x^2 = 18\)

Dividing both sides by 5:

\(x^2 = 18/5\)

Taking the square root of both sides:

x = ±√(18/5)

Since we are looking for the point with the greatest x-coordinate, we take the positive square root:

x = ±√(18/5))

Now, substitute this value of x back into the equation to find the corresponding y-coordinate:

√(18/5) + y = √(18/5) + y

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the point is (u - √18, √18), where u is the value that satisfies \(u^2 + y^2 = 18.\)

What is value?

In mathematics, a value refers to a numerical or symbolic quantity that represents a specific quantity or property. Values can be numbers, variables, constants, or expressions that have a definite or assigned meaning.

To find the point on the ellipse with the greatest x-coordinate, we need to maximize the value of x while satisfying the equation of the ellipse.

The equation of the ellipse is:

\(x^2 + 2y^2 + 2xy = 18\)

To simplify the equation, we can rewrite it as:

\(x^2 + 2xy + y^2 + y^2 = 18\\\\(x + y)^2 + y^2 = 18\)

Let's define a new variable u = x + y. Substituting this into the equation, we have:

\(u^2 + y^2 = 18\)

Now, we want to maximize the x-coordinate, which is equivalent to maximizing the value of u. Since u = x + y, we need to find the maximum value of u that satisfies the equation of the ellipse.

To find the maximum value of u, we can use calculus. Taking the derivative of \(u^2 + y^2 = 18\) with respect to y, we get:

2u + 2y(dy/dx) = 0

Since we are interested in the maximum value of u, we want dy/dx to be as small as possible. Setting dy/dx = 0, we have:

2u = 0

This implies that u = 0. Substituting u = 0 into the equation \(u^2 + y^2 = 18\), we get:

\(0^2 + y^2 = 18\\\\y^2 = 18\)

y = ±√18

Now, we can substitute the value of y into the equation u = x + y to find the corresponding x-coordinate.

For y = √18, we have:

u = x + √18

x = u - √18

For y = -√18, we have:

u = x - √18

x = u + √18

Since we want to maximize the x-coordinate, we need to choose the positive square root of 18. Therefore, the point on the ellipse with the greatest x-coordinate is given by:

x = u - √18

y = √18

Thus, the point is (u - √18, √18), where u is the value that satisfies\(u^2 + y^2 = 18.\)

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Answer

56,000

Step-by-step explanation:

The equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

\(\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\\)

The missing information, not present in this question are:

Since for the triangle GFE, if we look from the angle ∠GFE, the sides given are hypotenuse FG and the base FE.

Thus, we can use cosine ratio, and then its inverse to find the value of angle θ.

Thus, we get:

\(\cos(\theta) = \dfrac{|FE|}{|FG|} = \dfrac{11.9}{14.5} \\\\\theta = \cos^{-1}\left(\dfrac{11.9}{14.5}\right)\\\\\)

Thus, the equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

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Answer:

option B

Step-by-step explanation:

The convergence of the given geometric series is as follows:(a)Convergent, (b) Divergent (diverges to infinity), (c) Convergent and (d) Convergent

The convergence of a geometric series is determined by the common ratio (r) between consecutive terms. A geometric series is defined as the sum of the terms of a geometric sequence.

To determine whether a geometric series is convergent or divergent, we need to analyze the common ratio (r) of the series.

A geometric series is given by the formula:

S = a / (1 - r),

where S represents the sum of the series, a is the first term, and r is the common ratio.

If the absolute value of the common ratio, |r|, is less than 1 (|r| < 1), the series is convergent and the sum can be calculated using the formula above.

If |r| is greater than or equal to 1 (|r| ≥ 1), the series is divergent and the sum is not defined.

Let's evaluate the convergence of the given geometric series:

(a) Series 1: 3 + 3/2 + 3/4 + 3/8 + ...

  Here, the first term (a) is 3 and the common ratio (r) is 1/2.

  |r| = |1/2| = 1/2 < 1.

  Since |r| < 1, the series is convergent.

(b) Series 2: 2 + 6 + 18 + 54 + ...

  Here, the first term (a) is 2 and the common ratio (r) is 3.

  |r| = |3| = 3 ≥ 1.

  Since |r| ≥ 1, the series is divergent.

(c) Series 3: 5 + (-5/2) + 5/4 + (-5/8) + ...

  Here, the first term (a) is 5 and the common ratio (r) is -1/2.

  |r| = |-1/2| = 1/2 < 1.

  Since |r| < 1, the series is convergent.

(d) Series 4: 1/3 + 1/9 + 1/27 + 1/81 + ...

  Here, the first term (a) is 1/3 and the common ratio (r) is 1/3.

  |r| = |1/3| = 1/3 < 1.

  Since |r| < 1, the series is convergent.

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A closed-ended question is one that doesn't permit many different answers.

Closed-ended questions are those that can only be answered by choosing one of a small number of possibilities. These questions are typically multiple-choice with a single-word response, such as "yes" or "no," or they can use a rating system (e.g. from strongly agree to strongly disagree).

Close-ended questions, such as "yes/no" or multiple choice questions with predetermined answers, are questions that demand a certain response from the respondent. Closed-ended inquiries are frequently used to collect quantitative data from respondents.

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a. The expected value of the sampling distribution of the sample mean is equal to the population mean, which is $5.

The standard deviation of the sampling distribution, also known as the standard error, is calculated by dividing the population standard deviation by the square root of the sample size. In this case, the standard deviation of the population is $3, and the sample size is 36. Therefore, the standard deviation of the sampling distribution is $3/sqrt(36) = $0.5. The shape of the sampling distribution of the sample mean is approximately normal, as it follows the Central Limit Theorem (CLT), which states that as the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution.

b. To find the probability that the sample mean will be at least $4.20, we need to calculate the z-score corresponding to this value and then find the area under the normal curve to the right of that z-score. The z-score is calculated by subtracting the population mean from the desired value and dividing it by the standard deviation of the sampling distribution. In this case, the z-score is (4.20 - 5) / 0.5 = -1.6. Using a standard normal distribution table or a calculator, we can find the area to the right of -1.6, which is the probability that the sample mean will be at least $4.20.

c. Similarly, to find the probability that the sample mean will be less than $5.90, we calculate the z-score corresponding to this value and find the area under the normal curve to the left of that z-score. The z-score is (5.90 - 5) / 0.5 = 1.8. We then find the area to the left of 1.8, which represents the probability that the sample mean will be less than $5.90.

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The correct match of each dilation to its function is: j(x) = (1/2x)^2: vertical stretch, k(x) = 2x²: vertical compression, h(x) = (2x)²: horizontal compression, and g(x) = x²: no dilation, it is the parent function.

Each of the given functions is a dilation of the parent function f(x) = x^2, which means that they are obtained by stretching or compressing the graph of the parent function either vertically or horizontally.

- j(x) = (1/2x)^2: This function is a vertical stretch of the parent function, because the constant factor of 1/2 in front of the x causes the function to be stretched vertically by a factor of 2.

- k(x) = 2x²: This function is a vertical compression of the parent function, because the constant factor of 2 in front of the x^2 causes the function to be compressed vertically by a factor of 1/2.

- h(x) = (2x)²: This function is a horizontal compression of the parent function, because the constant factor of 2 inside the x^2 causes the function to be compressed horizontally by a factor of 1/2.

- g(x) = x²: This is the parent function, and it is not dilated in any way. Its graph is a parabola that opens upwards and has a vertex at the origin.

Thus, this is the correct match for the given scenario.

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Answer:

\(\boxed{\sf x =40}\)

Step-by-step explanation:

\(\sf 12x=34^2 - 26^2\)

Solve the square.

\(\sf 12x=1156-676\)

\(\sf 12x=480\)

Divide both sides by 12.

\(\displaystyle \sf \frac{12x}{12} =\frac{480}{12}\)

\(\sf x =40\)

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.

(a) What are the individuals in this data set?

(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative?

Solution:

(a)

The term "individuals", in statistics, implies or denotes the objects or people included in a statistical study.

In this case it is provided that Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior.

So, the "individuals" in this data set are the monkeys.

(b)

Categorical variables belong to a certain category or label values. Such as gender of a person, state from which a person is from, color of the marble and so on.

Quantitative variables are those variables that assume numerical values and represent some sort of measurement. Such as height, weight, annual income of the people working at the same place and so on.

In this case the variables are:

Number of bananas the monkeys ate - Quantitative variable

Gender - Categorical variable

Age (in years) -  Quantitative variable

Specific breed of monkey - Categorical variable

The individuals in the data set refers to each monkey used in the experiment.

The variables in the experiment include :

Individuals used in a research refers to each species or subject used in the research finding.

DISCRETE variables involves variables whose values or numbers can be obtained by counting.while

CONTINUOUS variables include variable measure are obtained by measurement such as height and weight.

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Complete question :

Mr. Molesky observes a group of monkeys for 24 hours to learn about

their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.

(a) What are the individuals in this data set?

(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative(continuous), or quantitative(discrete), make sure tell me which one is continuous and which one is discrete