find the slope... both are -4/6 right?

Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

Answer:

Step-by-step explanation:

it is an ellipse.

The graph of the ellipse (x²/3²) + (y²/2²) = 1 is given in the image below.

An ellipse is a closed curve in a plane that is symmetric around two perpendicular lines known as the ellipse's axis.

The given equation is in the standard form of the equation of an ellipse centered at the origin with its major axis on the x-axis and its minor axis on the y-axis:

(x²/3²) + (y²/2²) = 1

The square of the semi-major axis (a) is 3² = 9, so the semi-major axis is a = 3.

The square of the semi-minor axis (b) is 2² = 4, so the semi-minor axis is b = 2.

Therefore, the characteristic of the given ellipse is:

a²- b² = 9 - 4 = 5

So the characteristic of the ellipse is 5.

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Answer:

The first one; -1.2<6.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.                                                                                                                     A fraction will include two numbers, one above the other. The first number, found above the line, is the numerator. The second number, located below the line, is the denominator. A denominator indicates the total number of equal parts into which something is divided

 A number expressed as a quotient, in which a numerator is divided by a denominator.

Fraction work to represent a segment of a whole number.

To round to the nearest meter, use the units place and round to the nearest whole number. At the moment, we have a two in place of a one.

It is two divisions or two tenths of a mile short of the halfway point. Therefore, seven centimeters are the closest centimeters.

To figure out how to round, we look to the right, at the unit in the tens place.

Let x represent the unknown, which is the building's height.

level of post = level of the structure

level of the shadow level of the shadow

3.3 m = x

1.78 m 49. 75 m Find the solution for x: (3.3 m) (49.75 m) = x 1.78 m = x The building is 92 meters high, rounded to the nearest meter.

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The statement that creates an array of decimals named miles and assigns the values 27.2, 33.5, 12.8, and 56.4 to its elements is: `double[] miles = {27.2, 33.5, 12.8, 56.4}.

An array is a data structure that contains a group of elements of the same data type. It is a collection of variables with the same data type but with different values assigned to them. To create an array in Java, we specify the data type of the elements in the array and the size of the array.The code that creates an array of decimals named miles and assigns the values 27.2, 33.5, 12.8, and 56.4 to its elements is given as follows: double[] miles = {27.2, 33.5, 12.8, 56.4}: The `double[]` specifies the data type of the elements in the array, which is double. The name of the array is miles, and it contains four elements with values 27.2, 33.5, 12.8, and 56.4 respectively.

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DECIMAL MILES can create array of decimal miles.

In computer science, an array is a data structure consisting of a collection

of elements, of same memory size, each identified by at least one array

index or key. An array is stored such that the position of each element can

be computed from its index tuple by a mathematical formula. Two type of

array are there 2D array and 3D array. The following statement creates an

array of decimals named miles and assigns the values 27.2, 33.5, 12.8, and

56.4 to its elements:

decimal[] miles = {27.2, 33.5, 12.8, 56.4};

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer: TnT down

Step-by-step explanation:

What's given?

EG ≅ FG

∟EFG ≅ ∟FGH

What's something else we can figure out?

∠FGE ≅ ∠GFH - alternate interior angles

Can we prove these congruent?

We can prove this congruent by using AAS

Geez I think I'm losing my touch but I hope this is correct and it helped!

To predict the cost of driving 1800 miles per month, substitute 1800 in the given function C(d) = 0.2d + 280C(1800) = 0.2 (1800) + 280= $640 per month. Therefore, the cost of driving 1800 miles per month is $640.

(b) Graph is shown below:(c)The slope of the graph represents the rate of change of the cost of driving a car per mile. The slope is given by 0.2, which means that for every mile Lynn drives, the cost increases by $0.2.The y-intercept of the graph represents the fixed cost (amount she pays even if she does not drive).

The y-intercept is given by 280, which means that even if Lynn does not drive the car, she has to pay $280 per month.The linear function gives a suitable model in this situation because the monthly cost increases as the number of miles driven increases.

This is shown by the positive slope of the graph. The fixed cost is also included in the function, which is represented by the y-intercept. Therefore, a linear function is a suitable model in this situation.

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Answer:

below

Step-by-step explanation:

The slope of any line that is parallel to another is ALWAYS the same. Thus, the slope remains 9/4.

Best of Luck!

The probability of rolling a 3 on a single six-sided die is 1/6, or 16.7%.

Probability is a mathematical study of outcomes in uncertain situation it is used to describe the like would have an event occurring and it can e expressed as the number between 0 to 1 probability is used to quantify the uncertainty associated with any given event it helps us understand how likely it is that something will happen and it can be used to make prediction about futures even probability theory is it of modern statistic and is widely used in fields such as finance economics and science.

Therefore, the probability of rolling at least one 3 when rolling two six-sided dice is 2 × 1/6, or 33.3%. This is because the probability of rolling a 3 on one die is independent of the probability of rolling a 3 on the other die. This means that the probability of rolling at least one 3 is equal to the sum of the probabilities of rolling a 3 on each of the two dice (1/6 + 1/6 = 2/6). As a result, the probability of rolling at least one 3 when rolling two six-sided dice is 33.3%.

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The probability of rolling a 3 on a single six-sided die is 1/6, or 16.7%.

Probability is a mathematical study of outcomes in uncertain situation it is used to describe the like would have an event occurring and it can e expressed as the number between 0 to 1 probability is used to quantify the uncertainty associated with any given event it helps us understand how likely it is that something will happen and it can be used to make prediction about futures even probability theory is it of modern statistic and is widely used in fields such as finance economics and science.

(a) The mean of X(t) is 0 since A is equally likely to have a magnitude of +1 or -1 and θ is uniformly distributed between 0 and 2π.

(b) The auto correlation function of X(t) is given by:

Rxx(τ) = E[X(t)X(t+τ)]

     = E[Acos(ωt+θ)Acos(ω(t+τ)+θ)]

     = E[\(A^{2}\)cos(ωt+θ)cos(ω(t+τ)+θ)]

     = E[\(A^{2}\)]cos(ωτ)cos(θ)

     = 0

(c) X(t) is not a wide sense stationary (WSS) process since the mean of the process is not constant and its auto correlation function is not independent of time τ.

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Answer:

y = 5x - 23

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 10x from both sides:

10x (-10x) - 2y = 46 (-10x)

-2y = -10x + 46

Next, divide -2 from all terms in the equation:

(-2y)/-2 = (-10x + 46)/-2

y = (-10x)/-2 + (46)/-2

y = 5x - 23

y = 5x - 23 is your answer.

~

Answer:

y= 5x-23

Step-by-step explanation:

10x-2y =46

10x-10x-2y =46-10x

-2y= 46-10x

-2y/-2= 46-10x/-2

y= 5x-23

Answer:

she is going to make $408.90 in 18.2518.25 hours

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side. The height of the tringle is 24 units. Hence option 2 is the correct option.

The triangle for the given problem is shown in the image below.

Form the figure the length of the each side is \(16 \sqrt{3}\) units.

As all the sides are equal thus the \(\Delta MNO\) is a equilateral triangle in which the height of the divides the triangle into two equal part of the length \(8\sqrt{3}\) at point R.

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side.

Now in the  \(\Delta MRN\), the length of the hypotenuse is \(16 \sqrt{3}\) units and the length of the base is \(8\sqrt{3}\) units. Let h is the height of the triangle thus by the Pythagoras theorem,

\((16\sqrt{3})^2 =(8\sqrt{3})^2+h^2\)

Solve for h,

\(\begin{aligned}h^2 &=(16\sqrt{3})^2 -(8\sqrt{3})^2\\h^2 &=16\times16\times3 -8\times8\times3\\h^2 &=576\\h &=\sqrt{576}\\h &=24\\\end\)

Thus the height of the tringle is 24 units. Hence option 2 is the correct option.

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Answer:

b. 24

Step-by-step explanation:

edge

The missing piece of information would allow the triangles in the figure to be proven congruent by AAS is; C: ∠C ≅∠C'

The AAS congruence rule states that if any two consecutive angles of a triangle along with a non-included side are equal to the corresponding consecutive angles and the non-included side of another triangle, then the two triangles are said to be congruent.

Now, from the two given triangles we see that;

In triangle ABC, we have the included side as AB with an angle ∠B.

Similarly, in triangle A'B'C', we have the  included side A'B' with an angle ∠B.

Thus, if we apply the AAS Congruency rule as stated above, then we can say that the other consecutive angles that are congruent are;

∠C ≅ ∠C'

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Answer:

Exact Form: Y = 5/7

Decimal Form: 0.714285...

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

let x be chips and y be sodas

8x + 4y = 5 ---> for the first hint

4x + 8y = 7------> second hint

0.25 cents is how much chips costs

and 0.75 cents is how much sodas costs

Answer: Each bag of chips is $0.25, each soda is $0.75.  

(0.25 x 8) + (0.75 x 4) = 5

2 + 3 = 5

(0.25 x 4) + (0.75 x 8) = 7

1 + 6 = 7

The largest possible number of integer roots in the polynomial with integer coefficients and a constant coefficient of 42 is 7.

Let's assume the polynomial is of degree n, where n is a positive integer. Since all the roots are integers, we can express the polynomial as follows:

P(x) = (x - r1)(x - r2)(x - r3)...(x - rn)

where r1, r2, r3, ..., rn are the integer roots of the polynomial.

Given that the constant coefficient of the polynomial is 42, we can determine the product of the roots:

r1 * r2 * r3 * ... * rn = 42

To maximize the number of integer roots, we need to find the largest number of distinct integer factors of 42.

The prime factorization of 42 is: 2 * 3 * 7.

To maximize the number of integer roots, we can assign the factors 2, 3, and 7 to the distinct roots of the polynomial, which gives us:

P(x) = (x - 2)(x - 3)(x - 7)

This polynomial has three distinct integer roots: 2, 3, and 7.

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Answer:

i) 5,00,00,000 (5 billion) in standard form would be 5 x 10^9

ii) 39087.8 in standard form would be 3.90878 x 10^4

iii) The distance between Earth and Moon is 384,000,000 m (384 million meters) in standard form would be 3.84 x 10^8 m.

Step-by-step explanation:

The number of ways in which 6 people can be seated in a round table, if two friends must sit next to each other is 48 ways.

Permutation is mathematical calculation of the number of ways a particular set can be arranged. Its describes the number of ways things can be ordered or arranged. With permutations, the order of the arrangement matters.

If we assume that certain configuration rotated is non-different configuration, then the number of permutations is (n - 1)!.

Since 2 people must be together, let’s take them as if they were one person, then the total permutations are ((6 – 1) - 1)! = 4! = 24. But for each configuration, then, that pair can sit in two differente ways, then the solution is 24 * 2 = 48.

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In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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Increasing the sample size from 25 to 35, while keeping all other factors constant in a two-sided hypothesis test, will decrease the probability of a type II error. However, the extent of the decrease will depend on various factors such as the effect size, significance level, and power of the test.

If nothing else changes about the hypothesis test except the sample size, increasing the sample size from 25 to 35 will generally reduce the probability of a type II error.

This is because as the sample size increases, the standard error of the estimate decreases and the test becomes more powerful, making it more likely to reject the null hypothesis when it is false (i.e., reduce the probability of a type II error).

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Answer:

1188

Step-by-step explanation:

12x42 + 18x38  = 1188

Answer:

I'm unsure of what you want solved.

Step-by-step explanation:

Answer:

n< 40

Step-by-step explanation:

Answer:

9 students

Explanation:

Every 8th person that entered the cinema received a free ticket.

The number of students who entered in the first hour = 76.

The first person given a ticket was the 8th person.

To calculate the number of persons who received a free ticket, we can view this problem as an arithmetic sequence in which:

• The first term = 8

• The last term = 76.

• The common difference (every 8th person) = 8.

Using the formula for the last term of an arithmetic sequence, we have:

Our goal is to find n, the number of students.

Since the number of students that entered in the first hour is not more than 76, we have that:

9 students received a free ticket.

Answer:

A collection of different things

Step-by-step explanation:

I looked up the definition

Compare the roots you found to the rational equation in part C and the roots you found to the derived quadratic equation in part D. Describe any connection or difference you see between the roots of the two equations.To find the roots of the given rational function 3x / x^2 - 4, the numerator of the function is set equal to zero as there are no roots in the denominator.

So, we get:3x = 0x = 0 To find the roots of the derived quadratic equation, we need to solve the quadratic equation obtained in part D i.e. x² - 4x - 5 = 0, and it can be factored as:

(x - 5) (x + 1) = 0x = 5

or x = -1

Here, we have one root for the rational equation and two roots for the quadratic equation. As seen in both cases, the root 0 is common for both the equations. Also, the quadratic equation has one additional root 5 compared to the rational equation. This is because the derived quadratic equation is obtained from the rational equation by setting the numerator to zero.

The roots of the derived quadratic equation are the points where the rational function touches or crosses the x-axis. In this case, the rational equation only touches the x-axis once at x = 0 while the quadratic equation crosses the x-axis at two points (5 and -1). This means the quadratic equation has two roots and the rational equation has only one.

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