he side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube

Answer:

bro said b so b

Step-by-step explanation:

According to the dataset, the mean of Dave’s nightly tips is $144.68

The mean of a dataset is the average value of the dataset

Below is how to calculate the mean of Dave’s nightly tips

Mean is calculated using:

Mean = sum of observations/Number of observations

The sum of observations is:

Sum = 100.85 + 166.57 + 135.74 + 148.12 + 113.94 + 190.13 + 235.31 + 102.57 + 124.02 + 142.40 + 108.60 + 110.50 + 163.82 + 183.01

Evaluate

Sum = 2025.58

The number of observations is 14.

So, the mean is:

Mean = 2025.58/14

Divide

Mean = 144.68

Hence, the mean of Dave’s nightly tips is $144.68

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Answer is B. SAS

side angle side

Reason

the shared angle is congruent for both triangles.
the two sides are congruent because the ratio of 1:3 for both sides.

2/6 and 3/9 = 1/3 and 1/3

Also correct is AA angle angle

In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar .
A is the same for both triangles

The corresponding angles are congruent - see attached picture - so angle angle is also correct

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

48 1/4 packages

Step-by-step explanation:

So the maximum number of edges in an undirected graph with 100 vertices is 4950.

In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.

In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:

n * (n-1) / 2

Substituting n = 100, we get:

100 * 99 / 2 = 4950

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Answer:

Step-by-step explanation:

slope=(6-2)/(1-4)=4/-3=-4/3

eq. of line is y-2=-4/3(x-4)

We have that, finding the horizontal component of the reaction at A in pounds, it is 866.03 pounds, with zero horizontal component in the negative direction.

To determine the horizontal component of the reaction at A, we first need to draw a free-body diagram of the given structure. So, we can use the equation of equilibrium for the horizontal direction to find the horizontal component of the reaction at A. The equation of equilibrium for the horizontal direction is as follows:

∑Fx=0∑Fx=0

Equilibrium equation for the horizontal direction, where ∑Fx is the sum of all forces acting horizontally in the positive direction and in the negative direction. Let's draw the free body diagram of the given structure: Here, RAY is the horizontal component of the reaction at A. We can see that there is no force acting horizontally in the negative direction.

Therefore,∑Fx=RAx∑Fx=RAx

Now, we need to find the force that acts horizontally in the positive direction. In the free body diagram, we can see that:

∑Fx=1000cos30°=866.03∑Fx=1000cos30°=866.03

Therefore

∑Fx=RAx=866.03RAx=866.03

So the horizontal component of the reaction at A is 866.03 pounds. Therefore, the answer is 866.03 (positive).

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If the perimeter of the rectangle is 4646 centimeters and its length is 88 centimeters then its width would be 2235 centimeters

The perimeter of a form in geometry is defined as the entire length of its border. A shape's circumference is calculated by summing the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.

In daily life, people constantly employ the idea of perimeter. For instance, we measure the perimeter of the area to be fenced in or decorated for Christmas to determine how much wire you will need.

We are aware that a regular polygon has equal-length sides.

A regular polygon's perimeter is equal to the product of all of its sides, which is equal to the quantity o sides times the length of a side.

How to solve?

width = 4646 - 2*88 =4470

width of one side = 4470/2 = 2235 centimeters

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Tom's increased monthly rent after the 8.5% increase will be R1356.25.

From the question, we have the following parameters that can be used in our computation:

Monthly rent = R1250

Yearly rate = 8.5%

If Tom pays R1250 every month, then his annual rent is:

Annual rent = 1250 * 12 = R15000.

If his annual rent increased by 8.5%, his new annual rent will be

New = 15000 * (1 + 0.085) = 16275.

Divide by 12 to get the increased monthly rent

Increased monthly rent = 16275 / 12 = R1356.25.

Hence, the rent is R1356.25.

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Answer:

\(8 \geq x + 3\\5 \geq x\)

Step-by-step explanation:

The following equations both represent the problem, with the top showing the inequality exactly as it is explained in the prompt, and the bottom showing the inequality simplified.

Hope it helps :) and let me know if you want me to elaborate.

The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform System A into System B?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

The complete image is attached.

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The equation log₂(x - 1) = x³ - 4x has one solution at x = 2.

To determine the solutions to the equation log₂(x - 1) = x³ - 4x, we can set the two expressions equal to each other:

log₂(x - 1) = x³ - 4x

Since we know that the graphs of the two functions intersect at the points (2, 0) and (1.1187, -3.075), we can substitute these values into the equation to find the solutions.

For the point (2, 0):

log₂(2 - 1) = 2³ - 4(2)

log₂(1) = 8 - 8

0 = 0

The equation holds true for the point (2, 0), so (2, 0) is one solution.

For the point (1.1187, -3.075):

log₂(1.1187 - 1) = (1.1187)³ - 4(1.1187)

log₂(0.1187) = 1.4013 - 4.4748

-3.075 = -3.0735 (approx.)

The equation is not satisfied for the point (1.1187, -3.075), so (1.1187, -3.075) is not a solution.

Therefore, the equation log₂(x - 1) = x³ - 4x has one solution at x = 2.

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Answer:

80 degrees

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360 degrees. Adding up the known measures gives you 95 + 123 + 62 = 280. Then you can subtract that from 360. 360 - 280 = 80. So x has to be 80 degrees.

The sample size n is fixed, and k can vary from 0 to n. Thus, the probability distribution function of the sample depends on the parameter p and the sample size n.

Let's denote the random sample as y1, y2, ..., yn, where each yi represents the outcome of a Bernoulli trial with a parameter p. In a Bernoulli distribution, each trial can result in one of two possible outcomes, typically labeled as "success" or "failure," with probabilities p and 1-p, respectively.

To find the probability distribution function (pdf) of this random sample, we can express it as a product of individual probabilities for each observation. Since each yi follows a Bernoulli distribution, the probability of observing a success (yi = 1) is p, and the probability of observing a failure (yi = 0) is 1-p.

The probability of the entire sample y1, y2, ..., yn can be calculated as the joint probability of each observation, assuming independence:

P(y1, y2, ..., yn) = P(y1) * P(y2) * ... * P(yn) = p^k * (1-p)^(n-k)

where k is the number of successes in the sample (the number of yi's equal to 1) and n-k is the number of failures (the number of yi's equal to 0).

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A small p-value leads to rejection of the null hypothesis because it provides strong evidence against the  no effect in the data, indicating that the observed results are unlikely to occur due to random chance alone.

A small p-value indicates that the observed data is highly unlikely to have occurred under the assumption that the null hypothesis is true. In hypothesis testing, the null hypothesis represents a claim or statement that there is no significant difference or relationship between variables.

.When the p-value is small, typically below a pre-determined significance level (e.g., 0.05), it suggests that the observed data is inconsistent with the null hypothesis. In other words, the probability of obtaining the observed data or more extreme results, assuming the null hypothesis is true, is very low. This provides evidence against the null hypothesis and supports the alternative hypothesis, which suggests the presence of a significant difference or relationship.

Therefore, based on statistical inference, a small p-value leads to the rejection of the null hypothesis in favor of the alternative hypothesis. It indicates that the observed data provides strong evidence to conclude that there is a meaningful effect or relationship present in the population being studied.

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The equation for constant proportionality is y ∝ m .

1760 is a constant of proportionality.

The ratio of two proportional values at a constant value is the proportionality constant. When either the ratio or the product of two variables results in a constant, the connection between the two is proportional. The ratio between the two stated quantities affects the proportionality constant's value.

The formula y = 1760m describes the relationship between a distance in yards (y) and a similar value in miles (m).

As a result, the graph of the aforementioned equation will be a straight line with a constant slope of 1760 that passes through the origin (0, 0).

As a result, a measurement in yards and a measurement in miles have the same proportionality relationship.

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Answer:

B

Step-by-step explanation:

The mean value of the radius (r) at which you would find the electron, given the H atom wave function is 100(r), is 0.

The wave function of an electron in the hydrogen atom, denoted by Ψ, describes the probability distribution of finding the electron at different positions around the nucleus. In this case, the given wave function is 100(r), where r represents the radius.

To calculate the mean value of the radius, we need to evaluate the integral of r multiplied by the absolute square of the wave function, integrated over all possible values of r. However, the wave function 100(r) does not provide a valid description of the hydrogen atom's electron distribution. The wave function should be normalized, meaning that the integral of the absolute square of the wave function over all space should equal 1. In this case, the given wave function lacks normalization.

Since the wave function is not properly normalized, we cannot accurately calculate the mean value of the radius. Without normalization, the probability distribution described by the wave function does not provide meaningful information about the electron's position.

In summary, based on the given wave function, the mean value of the radius cannot be determined without proper normalization of the wave function. A properly normalized wave function is necessary to obtain accurate information about the electron's position.

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The distance between the two cities on the map is 0.45 inches , the correct  option is (A) 0.45inches  .

In the question ,
it is given that

the scale factor of the  map is 25 miles = 0.1 inches

So, 1 mile = 0.1/25 inches

= 0.004 inches

So , on the map 1 mile is represented by 0.004 inches

Given that the real distance between the two cities is 112.5 miles

So , on the map  112.5 miles = 112.5*0.004 inches

= 0.45 inches

Therefore , the distance between the two cities on the map is 0.45 inches , the correct  option is (A)0.45inches  .

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Fraction of the total distance did Madelyn and Melissa jump is 4/11

The given table is attached below:

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

As,

Total distance = 55 feet

Madelyn and Melissa jump,

= 8.25+11.75

=20 feet

So,  fraction of the total distance did Madelyn and Melissa jump

= 20/55

=4/11

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\(cos(\theta )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\qquad \impliedby \textit{let's now find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{5^2-3^2}=b\implies \sqrt{25-9}=b\implies \sqrt{16}=b\implies 4=b \\\\[-0.35em] ~\dotfill\)

\(sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}\qquad \qquad tan(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\qquad \qquad cot=\cfrac{\stackrel{adjacent}{3}}{\underset{opposite}{4}} \\\\\\ sec(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{adjacent}{3}}\qquad \qquad csc(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{4}}\)

The values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:

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),

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

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

\(|AC|^2 = |AB|^2 + |BC|^2\)

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

We're given that:

cosθ = 3/5 for some angle θ

Since we've got:

\(\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\)

Therefore, we have:

\(\dfrac{3}{5} = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\)

Let we consider a right angled triangle in which there is hypotenuse of length 5 units and base (from the perspective of one of its non-right angle) of 3 units (as shown in the image attached below).

(we couldve taken 3x and 5x instead of 3 and 5, for any positive real number value of 'x' as when we would take their ratio, that common factor 'x' would get cancelled out. We can think of 3 and 5 as the special case of 3x and 5x when x = 1)

Then, from that perspective, let the perpendicular be of the length 'p' units, then as per the pythagoras theorem, we get:

\(p^2 + 3^2 = 5^2\\p = \sqrt{25 - 9} = \sqrt{16} = 4 \: \rm units\)

(took only the positive root to remove the square term because the value of p denotes length, which is a non-negative quantity).

Thus, we have:

From the perspective of the angle θ:

Thus, using these values, and the definition of the trigonometric ratios, we get:

Thus, the values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:

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Considering the definition of a line, the equation of the line that passes through the point (5, -3) and has a slope of 6/5 is y= 6/5x -9.

A linear equation o line can be expressed in the form y = mx + b

where

In this case, you know:

Substituting the value of the slope m, the line has the form: y=6/5x +b

Substituting the value of the point in the previous expression, the value of the ordinate to the origin b can be obtained:

-3= 6/5×5 + b

-3= 6 + b

-3 - 6= b

-9= b

Finally, the equation of the line is y= 6/5x -9.

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The correctanswer is-the percentage of the pieces that will meet the length specs is 98.78%.

The given data may be a random variable that takes after the normal distribution with mean μ=64 and standard deviation σ=0.1

The required value is to discover the rate of the pieces that will meet the length specs which is between 63.76 and 64.24 inches.

To find the required percentage, standardize the given limits as follows: Lower Limit: (63.76 - μ) / σ= (63.76 - 64) / 0.1 = -2.4

Upper Limit: (64.24 - μ) / σ= (64.24 - 64) / 0.1 = 2.4

Using the Standard Normal Distribution Table, the probability that the value will fall between -2.4 and 2.4 is found to be 0.9878.

The required percentage is then found by multiplying the probability by 100, which is: Percentage = 0.9878 x 100% = 98.78%

Therefore, the percentage of the pieces that will meet the length specs is 98.78%.

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Answer:

Jessica, she has 1/3 or 0.333

Step-by-step explanation:

Bob has 1/4 which equals 0.25

and Jessica has 1/3 which equals 0.333

Jessica has the highest free throw ratio than Bob. Jessica's ratio of throws is 1:3 and Bob's ratio of throws is 1:4.

Given that,
Jessica made 8 out of 24 free throws. Bob made 5 out of 20 free
throws.
To determine who has the highest free throw ratio.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Jessica made 8 out of 24 free throws.
Ratio = 8 /24 = 1 / 3
Bob made 5 out of 20 free
Ratio = 5 / 20 = 1 / 4
1 / 3 > 1 / 4

Imply, Jessica has the highest free throw ratio than Bob.

Thus, Jessica has the highest free throw ratio than Bob.

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The probability that a student chosen randomly from the class passes the test or completed the homework would be = 20/27.

To find the probability that a student chosen randomly from the class passed the test or complete the homework the following is carried out;

Let us take,

Event A ⇒ a student chosen passed the test

Event B ⇒ a student chosen complete the homework

We need to find out P (A or B) which is given by the formula,

⇒ P (A or B) = P(A) + P(B) - P(A and B)

From the given table;

The total number of students in the class = 27 students.

The no.of students passed the test ⇒ 15+3 = 18 students.

P(A) = No.of students passed / Total students in the class

P(A) ⇒ 18 / 27

For the no.of students completed the homework ⇒ 15+2 = 17 students.

P(B) = No.of students completed the homework / Total students in the class

P(B) ⇒ 17 / 27

The no.of students who passes the test and completed the homework = 15 students.

P(A∪B) = No.of students both passes and completes the homework / Total

P(A∪B) ⇒ 15 / 27

Therefore,

P (A or B) = P(A) + P(B) - P(A∪B)

⇒ (18 / 27) + (17 / 27) - (15 / 27)

⇒ 20 / 27

∴ The P (A or B) = 20/27.

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SOLUTION

The given function is

Using the limit definition

Substitute x+h for x

This gives

Simplify the limit

This further gives

Simplify further

Simplify the fraction

Find the limit

Therefore, the solution is

Answer:

Step-by-step explanation:

(3)×(6)×(-2) =

18 × (-2) =

(remember plus per minus = minus)

-36

\(i \hookrightarrow \mathrm{AnsweR} \hookleftarrow i\)

First option is the most suitable option, which says that a reflection of triangle A is made across the y - axis and then it is dragged down .

Answer:a reflection across the y-axis and then a reflection across the x-axis

Step-by-step explanation:

Answer:

Step-by-step explanation:

Proportional relationship equation:

Use given values in table to find the value of k:

So the equation is: