a solid shape is made from centimetre cubes. Here are the side elevation and front elevation of the shape how many cubes are added

a) February typically has 28 days, and during leap years, it has 29 days. Therefore, this statement is false.

b)  n (2) is not divisible by 4, as 4 does not evenly divide 2. Therefore, this statement is false.

c) When we multiply x by 2 (2*2), we get 4. In this case, x^3 (8) is not less than 2x (4). Therefore, this statement is false.

(a) To find a counterexample for the statement "Every month of the year has 30 or 31 days," consider the month of February.

February typically has 28 days, and during leap years, it has 29 days. Therefore, this statement is false.

(b) To find a counterexample for the statement "If n is an integer and n^2 is divisible by 4, then n is divisible by 4," consider the integer n = 2. When we square n (2^2), we get 4, which is divisible by 4.

However, n (2) is not divisible by 4, as 4 does not evenly divide 2. Therefore, this statement is false.

(c) To find a counterexample for the statement "For every positive integer x, x^3 < 2x," consider the positive integer x = 2. When we cube x (2^3), we get 8.

When we multiply x by 2 (2*2), we get 4. In this case, x^3 (8) is not less than 2x (4). Therefore, this statement is false.

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The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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The given sequence is 9, 16, 24, 33. To find the next number, let's look for a pattern in the differences between the terms.

The difference between 16 and 9 is 7, between 24 and 16 is 8, and between 33 and 24 is 9.

The pattern in the differences is that they are increasing by 1 each time. So, the next difference would be 10.

To find the next number, we add the next difference to the last term in the sequence. Adding 10 to 33 gives us 43.

Therefore, the next number in the sequence is 43.

To find the next number in the given sequence, we looked for a pattern in the differences between the terms. We observed that the differences were increasing by 1 each time. Using this pattern, we added the next difference to the last term in the sequence to find the next number.

The next number in the sequence 9, 16, 24, 33 is 43.

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Answer:

YESSIR

Step-by-step explanation:

The simplified expression is \(21x^2 - 25x - 28\) in the given case.

An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.

"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.

To simplify the expression, first distribute the -3x and (3x + 4) terms:

\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)

Next, combine like terms:

\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)

Therefore, the simplified expression is \(21x^2 - 25x - 28.\)

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Answer:

$4.16

Step-by-step explanation:

To find out how much 8 ounces of frozen yogurt costs if each ounce costs $0.52, we can use an equation that looks like this:

Therefore, for 8 ounces of yogurt is will cost $4.16.

The amount each friend should pay is $21.54

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

Cost = 89.75

Tip = 20%

The amount to be paid by each friend is calculated as

Unit cost = Cost * (1 + Tip)/5

Substitute the known values in the above equation, so, we have the following representation

Unit cost = 89.75 * (1 + 20%)/5

Evaluate

Unit cost = 21.54

Hence, the amount is 21.54

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The value of the expression below when x=5x=5?

8x+9 is equal to \(7^{2}\) (or) 49.

Substitute \(\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)\)

The expression,

y = 8x + 9

If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:

So, we can substitute x = 5,

Then, y = 8 * 5 + 9

Calculate the product or quotient,

y = 40 + 9

Calculate the sum or difference,

y = 49

We can write alternative form,

y = \(7^{2}\)

Therefore,

Hence the value of the expressions if x = 5 is \(7^{2}\) (or) 49.

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We know that in a parallelogram, the diagonals bisect each other. WY is 32

Let's solve the problem step by step using the given terms.

In a parallelogram, the diagonals bisect each other. This means that WA = AY. We are given:

1. WA = x² - 48

2. AY = x² - 6x

Since WA = AY, we can set up the equation:

x² - 48 = x² - 6x

- 48 = - 6x

Now, let's solve for x:

x = 48/6

x = 8

Now, we can find the length of WA:

WA = x² - 48 = 8² - 48

= 64 - 48

= 16

Since WA = AY, AY also equals 16. Now we can find the length of the entire diagonal WY:

WY = WA + AY = 16 + 16 = 32

Therefore, the length of WY is 32.

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If you have a box with N gas particles in it, which are in random motion, then a) for N=3, the probability of finding the system in a state where all of the particles are on the right side of the box is 1/8 and the entropy of this state is 0 J/K, b) for N=3 the probability of finding the system in a state where just one of the particles is on the right side of the box is 3/8, and the rest are on the left side is and the entropy of this state is K·log3, c) for N=4, the probability of finding the system in a state where all of the particles are on the right side of the box is 1/16 and the entropy of this state is 0 J/K, d) for N=4, the probability of finding the system in a state where just one of the particles is on the right side of the box, and the rest are on the left side is 1/4 and the entropy of this state is K·log4 J/K, e) when the number of particles increases, the probability of finding the system in a state with an uneven distribution of particles on the right and left side increases.

a) To find the probability and entropy of finding the system in a state where all of the particles are on the right side of the box for N=3, follow these steps:

b) To find the probability and entropy of finding the system in a state where just one of the particles is on the right side of the box for N=3, and the rest are on the left side, follow these steps:

c) To find the probability and entropy of finding the system in a state where all of the particles are on the right side of the box for N=4, follow these steps:

d) To find the probability and entropy of finding the system in a state where just one of the particles is on the right side of the box for N=4, and the rest are on the left side, follow these steps:

e) When the number of particles increases, the probability of finding the system in a state with an uneven distribution of particles on the right and left side increases. This is because as the number of particles increases, the number of possible states increases as well. This means that there are more ways for the particles to be distributed in an uneven manner, resulting in an increase in probability.

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The correct option is D that is the value of se represents the standard error of the estimate, which is a measure of the variability of the errors in predicting the response variable (weights) from the predictor variable (heights) using the regression equation.

Specifically, se represents the standard deviation of the residuals, which are the differences between the observed values of the response variable and the values predicted by the regression equation. A smaller value of se indicates that the regression equation provides a better fit to the data and that the predictions of the response variable are more accurate.

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Answer:

All real numbers

Step-by-step explanation:

The domain is the set of \(x\)-values.

The surface area of the given object is 20 square yards

The question asks for the surface area of an object, but it does not provide any specific information about the object itself. Without knowing the shape or dimensions of the object, it is not possible to determine its surface area.

In order to calculate the surface area of a shape, we need to know its specific measurements, such as length, width, and height. Additionally, different shapes have different formulas to calculate their surface areas. For example, the surface area of a cube is given by the formula 6s^2, where s represents the length of a side. The surface area of a rectangular prism is calculated using the formula 2lw + 2lh + 2wh, where l, w, and h represent the length, width, and height, respectively.

Therefore, without further information about the shape or measurements of the object, it is not possible to determine its surface area. The given answer options of 20, 16, 20, 24, and 23 square yards are unrelated to the question and cannot be used to determine the correct surface area.

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Answer:

518

Step-by-step explanation:

solution:

=8^2^×1^+1+6^2^×1^-1

=8^3+6^1

=8^3+6

=8×8×8+6

=512+6

=518

The Phillips curve describes the relationship between the unemployment rate and the rate of change of wages. Option C is the correct option.

What is  Phillips curve?

The relationship between the rate of inflation and the unemployment rate is represented by the Phillips curve. The analysis of wage inflation and unemployment in the United Kingdom from 1861 to 1957 by A. W. H. Phillips, despite having forerunners, is a significant development in the field of macroeconomics. When unemployment was high, wages rose slowly; when unemployment was low, wages rose quickly, according to Phillips' research.

According to Phillips' hypothesis, as the unemployment rate declines, the labor market becomes more competitive and firms are forced to raise wages more quickly in order to recruit qualified workers. The pressure decreased as unemployment rates rose. The average relationship between wage behavior and unemployment over the course of the business cycle was represented by Phillips' "curve."

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Answer:s=14

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Firstly, calculate the area of the rectangle with the formula:

Length x width = area

(x+6) * 3 = 3x + 18

The formula for the area of a triangle is:

\(\frac{1}{2} * b * h\)

We can plug the known variables into the equation and get:

\(\frac{1}{2} * 8 * (x+4)\)

4 * (x + 4)

4(x + 4)

4x + 16

As the two areas are the same:

4x + 16 = 3x + 18

Subtract 3x from both sides of the equation:

4x + 16 - 3x = 3x + 18 - 3x

x + 16 = 18

Subtract 16 from both sides of the equation:

x + 16 - 16 = 18 - 16

x = 2

Hope this helps!

With 90% confidence, we can say that the population mean falls between 20.96 and 23.04.

To construct the confidence interval for a population mean, we can use the formula:

Confidence interval = sample mean ± (critical value) x (standard error)

where the standard error is the standard deviation of the sample mean, which is calculated as:

standard error = sample standard deviation / √sample size

The critical value depends on the desired level of confidence and the degrees of freedom (df), which is the sample size minus 1. For a 90% confidence interval and 62 degrees of freedom, the critical value from a t-distribution is 1.667 (found using a t-table or calculator).

Plugging in the values, we get:

standard error = 5 / √64 = 5 / 8 = 0.625

Confidence interval = 22 ± 1.667 x 0.625 = (20.96, 23.04)

Therefore, with 90% confidence, we can say that the population mean falls between 20.96 and 23.04.

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As a result, the park's estimated area, calculated using a trapezoidal sum with three equally spaced subintervals, is 50 square miles.

A quadrilateral with at least one set of parallel edges is known as a trapezoid. The bases and legs of a trapezoid are referred to by their parallel and non-parallel edges, respectively. The space between the bases of a trapezoid measured perpendicularly is its height. A = (1/2)h(b1 + b2), where A is the area, h is the height, and b1 and b2 are the lengths of the two bases, is the formula for a trapezoid's area.

given

By calculating the function's average at the left and right ends of the subinterval, it is possible to determine the height of each trapezoid.

A1 = (1/2) * (base1 + base2) * height

= (1/2) * (2 + 2) * 9 = 18 is the area of the first trapezoid.

A2 = (1/2) * (base1 + base2) * height

= (1/2) * (2 + 2) * 11 = 22 is the formula for the area of the second trapezoid.

The third trapezoid's area is given by

A3 = (1/2) * (base1 + base2) * (1/2) * (2 + 2). * 10

= 10

The three trapezoids' combined areas make up the entire area under the curve, which roughly corresponds to the size of the park:

A total = A1 + A2 + A3 

= 50

As a result, the park's estimated area, calculated using a trapezoidal sum with three equally spaced subintervals, is 50 square miles.

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Answer:

If you have 6 chocolate and you have to divide that into 15 people than the answer will be 2 upon 5 or 0.4 for each.

Two angles form a linear pair.

so, the sum of the angles are 180

the measure of the angles are z and (2.4 * z + 10)

so,

z + (2.4 * z + 10) = 180

solve for z

so,

z + 2.4 * z + 10 = 180

3.4 z = 180 - 10

3.4 * z = 170

divide both sides by 3.4

so, z = 170/3.4 = 50

so, the angles are 50 and 130

Answer:

The average GPA would be 1.8

Step-by-step explanation:

Hope this is helpful. I did a test like this exact question and I got it right.

The equation has a positive slope of 2/3, and the y-intercept is 2, which is positive. Therefore, the graph passes through Quadrant IV.

In geometry, the Cartesian coordinate system is a system that describes points in space using two or more numbers, called coordinates.

To make the equation y = 2/3 * x + b pass through Quadrant II, we need to choose a value of b such that the y-intercept of the graph is negative.

y = 2/3 * 0 + b

y = b

So the y-intercept is b. To make it negative, we can choose a negative value for b. For example, if we choose b = -3, then the equation becomes:

y = 2/3 * x - 3

This equation has a y-intercept of -3, which is negative, and the graph passes through Quadrant II.

To make the equation y = 2/3 * x + b pass through Quadrant IV, we need to choose a value of b such that the slope of the graph is positive. The slope of the graph is 2/3, which is already positive, so we just need to choose a value of b that is positive. For example, if we choose b = 2, then the equation becomes:

y = 2/3 * x + 2

This equation has a positive slope of 2/3, and the y-intercept is 2, which is positive. Therefore, the graph passes through Quadrant IV.

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Answer:

First find out the other side measurements. Then split the shape into seperate squares and find the area then add them all up.

Step-by-step explanation:

volume is length × width × height.

Answer:

240 cm cubed

Step-by-step explanation:

If you separate the shape into 2 figures, the first figures area is 180

and the second is 60.

180 + 60 = 240

Hope this helps!

Let

number of children admitted = x

number of adult admitted = y

Total number admitted = 335

number of children = 160

number of adult = 175

Answer:

1/6

Step-by-step explanation:

Space = {1,2,3,4,5,6}

n(S) = 6

A = Event of getting 6 = {6}

n(A) = 1

P(getting six) = n(a)/n(S) = 1/6

4 ways to draw edges between 4 vertices and 14 ways to draw edges between 5 vertices so that the result is a connected graph.

To determine the number of ways to draw edges between 4 vertices so that the result is a connected graph, we need to consider the different cases:

Case 1: A tree with 3 edges.
There are 3 ways to do this, as there are 3 possible trees for a 4-vertex graph: a chain of 4 vertices, a star with a central vertex connected to the other 3 vertices, and a 3-vertex chain with the 4th vertex connected to the 2nd vertex in the chain.

Case 2: A graph with 4 edges.
There is only 1 way to do this, by creating a cycle of 4 vertices and adding an extra edge between any two vertices.

In total, there are 3 + 1 = 4 ways to draw edges between 4 vertices so that the result is a connected graph.

To determine the number of ways to draw edges between 5 vertices so that the result is a connected graph, we need to consider the different cases:

Case 1: A tree with 4 edges.
There are 5 ways to do this, as there are 5 different tree structures for a 5-vertex graph.

Case 2: A graph with 5 edges.
There are 5 ways to do this, by adding an extra edge to each of the 5 tree structures mentioned in case 1.

Case 3: A graph with 6 edges.
There are 3 ways to do this, by adding two extra edges to 3 of the 5 tree structures in case 1.

Case 4: A graph with 7 edges.

There is only 1 way to do this, by connecting all 5 vertices to form a complete graph.

In total, there are 5 + 5 + 3 + 1 = 14 ways to draw edges between 5 vertices so that the result is a connected graph.

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Answer:

z = 35

Step-by-step explanation:

Use the triangle angle sum theorem which states that the interior angles of a triangle sum to 180 degrees. The angles it refers to are the angle measures at each vertex. (Each point of the triangle)

You do not need x and y for this question. They are not angle measures at the vertex.

22+19+104+ z = 180. Combine like terms.

145+z= 180. Subtract 145 from both sides.

z= 35