In a final year examination, 33 students pass in Chinese, 29 students pass in English, 20 students pass in both subjects and 8 students fail in both subjects. How many students are in the class?

The probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15

For given question,

A research center poll showed that 85 percent of people believe that it is morally wrong to not report all income on tax returns.

so, the probability that someone have this belief is P = 0.85

We know that in probability,

p = 1 - q

where;

p is probability of success

q is probability of failure.

Thus the probability that someone does not have this​ belief would be,

= 1 - P

= 1 - 0.85

= 0.15

Therefore, the probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15

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Answer:

Step-by-step explanation:

This sequence can be interpreted as an arithmetic sequence, which has a general equation in the following format:

In which a1 is the first term and d is the common ratio(the difference between the consecutive terms.

In this sequence:

The first term is -3.

The common ratio is ... = 9 - 5 = 5 - 1 = ... = 4

So the equation for the sequence is:

Answer:

That's all

Step-by-step explanation:

you need to replace the values then solve

Answer:

27.      1^-8  =  1/1^8  =  1

28.       2^-5  =  1/2^5  =  1/32

29.       -3^-3  =  - 1/3^3  =  -  1/27

30.       2^-1   =    1/2  = 1/2

31.       -3^-4  =  -  1/3^4  =  -  1/81

32.       5^-3  =   1/5^3  =  1/125

33.       1^-99  =  1/1^99  =  1

34.       1^-3  =  1/1^3   =  1

35.       4^-3  =  1/4^3  = 1/64

36.       2^-3  =    1/2^3   =   1/8

Step-by-step explanation:

Rewrite the expression using the negative exponent rule b^−n=1/b^n

1/2^3

Raise 2 to the power of 3

1/8

The result can be shown in multiple forms, but this is fraction form.

1/8

I hope it helps!!

The number of times by which the Number of students that attended the school in the United states in prekindergarten through the grade of 12 is greater than the Number of students that attended middle school is 4 times larger.

We are given that;

Number of students that attended the school in the United states in prekindergarten through the grade of 12 = 50, 800, 000

Number of students that attended middle school = 11, 683, 000

Now, we want to find the number of times by which the Number of students that attended the school in the United states in prekindergarten through the grade of 12 is greater than the Number of students that attended middle school.

Thus, we have;

11683000x = 50800000

x = 50800000/11683000

x = 4.34

This is approximately 4 times larger. Thus, we can conclude that the number of times by which the Number of students that attended the school in the United states in prekindergarten through the grade of 12 is greater than the Number of students that attended middle school is 4 times larger.

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The distance between the tractor and the bale at this moment is 1 meter.

To determine the distance between the tractor and the bale at the given moment, we can use the concept of relative motion.

The distance between the tractor and the bale is the difference in their positions. Since the tractor is moving at a speed of 3 m/s and the bale is rising at a speed of 2 m/s, their relative speed is the difference between the two speeds, which is 3 m/s - 2 m/s = 1 m/s.

To find the distance, we can use the formula:

Distance = Speed × Time

In this case, the relative speed is 1 m/s. Since the tractor and the bale are moving in the same direction, we can assume that their speeds are constant over the given time. Therefore, we don't need to consider the time in this calculation.

So, the distance between the tractor and the bale at this moment is 1 meter.

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The derivative of f(x) is: f'(x) = { -2x, if x² ≤ 3 ; 2x, if x² > 3 }

There are two cases to consider:

Case 1: When x² ≤ 3, then 3 - x² ≥ 0, so f(x) = 3 - x².

Taking the derivative, we have:

f'(x) = -(2x)

Case 2: When x² > 3, then 3 - x² < 0, so f(x) = x² - 3.

Taking the derivative, we have:

f'(x) = 2x

A derivative is a fundamental concept in calculus that measures how a function changes as its input changes. It is the slope of the tangent line to the graph of the function at a particular point. The derivative can be used to find the maximum and minimum values of a function, to determine where the function is increasing or decreasing, and to analyze the behavior of a function at critical points.

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Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) from first principles is

f'(x) = lim ( h tends to 0 ) \(\frac{f(x+h)-f(x)}{h}\)

      = lim ( h to 0 ) \(\frac{3(x+h)^3+2-(3x^3+2)}{h}\)

      = lim ( h to 0 ) \(\frac{3(x^3+3x^2h+3xh^2+h^3)+2-3x^3-2}{h}\)

      = lim ( h to 0 ) \(\frac{3x^3+9x^2h+9xh^2+3h^3-3x^3}{h}\)

      = lim ( h to 0 ) \(\frac{9x^2h+9xh^2+3h^3}{h}\)

      = lim ( h to 0 ) \(\frac{h(9x^2+9xh+3h^3)}{h}\) ← cancel h on numerator/ denominator

      = lim ( h to 0 ) 9x²+9xh+3h² ← let h go to zero

f'(x) = 9x²

(a) Interval: [1, 3] ∪ (1.5, 2.5)

(b) Inequality: 1 ≤ x ≤ 3 or 1.5 < x < 2.5

Number line:

```

               1          1.5         2          2.5          3

----------------|-----------|-----------|-----------|---------------------

```

The interval [1, 3] ∪ (1.5, 2.5) consists of all real numbers greater than or equal to 1 and less than or equal to 3, including both endpoints, along with all real numbers greater than 1.5 and less than 2.5, excluding both endpoints.

In the inequality notation, 1 ≤ x ≤ 3 represents all numbers between 1 and 3, including 1 and 3 themselves. The inequality 1.5 < x < 2.5 represents all numbers between 1.5 and 2.5, excluding both 1.5 and 2.5.

On the number line, the interval is represented by a closed circle at 1 and 3, indicating that they are included, and an open circle at 1.5 and 2.5, indicating that they are not included in the interval. The line segments between the circles represent the interval itself, including all the real numbers within the specified range.

The interval [1, 3] ∪ (1.5, 2.5) includes all real numbers between 1 and 3, including 1 and 3 themselves, as well as all real numbers between 1.5 and 2.5, excluding both 1.5 and 2.5.

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Answer:

Step-by-step explanation:

8-3k-6 = 2-3k   (distribute -3 to (k+2))

-3k+2 = 2-3k  (8-6 is 2)

2 = 2   (subtract 3k from both sides)

2 = 2 means all real numbers

Answer:

0

Step-by-step explanation:

Distribute

8-3(k+2)=2-3k

8-3k+2=2-3k

subtract

8-6=2

2-3k+2=3k

rearrange

-3k+2=3k

I dont feel like typing the rest, watch khan academy

(ill take your email if you want to review on the weekend)

Answer:

7 tandems used on the trip.

Step-by-step explanation:

Let's use the variables "B" to represent the number of bicycles and "T" to represent the number of tandems.

We know that the total number of bicycles and tandems is 23, so we can write:

B + T = 23

We also know that there were 30 bikers in total, so we can write:

2T + B = 30

(The "2T" is because each tandem has 2 people on it.)

We now have a system of two equations with two variables:

B + T = 23

2T + B = 30

We can solve for one of the variables in terms of the other, and then substitute that expression into the other equation to eliminate one variable. Let's solve for B in the first equation:

B + T = 23

B = 23 - T

Now we can substitute this expression for B into the second equation:

2T + B = 30

2T + (23 - T) = 30

T = 7

So there were 7 tandems used on the trip.

Answer:

No, they aren't functions

Step-by-step explanation:

if you drew a vertical line across them, there is 2 intersecting points, a function don't have any of that

Answer:

distance between -5 to 0 = 5 units

Answer:

b

Step-by-step explanation:

The sample space is given as {A, B, C, D}.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lies in the close interval of 0 and 1 [0,1].

The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.

The given problem can be solved as follows,

The sample space for the given case of choosing one ball is given as follows,

Since there are four balls labeled as A, B, C and D.

The sample space is {A, B, C, D}.

The all of the outcomes for choosing letter A is equivalent to its sample space as {A, B, C, D}.

Hence, the sample space and the possible outcomes for choosing A is given as {A, B, C, D}.

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Answer: the answer is 48

Step-by-step explanation:

I dont know who removed my answer but the next time you do it we're gonna have a problem best believe ⇄

Answer:

x=17

Step-by-step explanation:

Ok, so let's start with what we're given.  We know that BF=2x+8, and this is a line segment that goes through A F and AB.  We also know that BE is 42, but also goes through line segments AE and AB.  As you can see, both segments BF and BE go through the line segment AB, which is an angle bisector.

An angle bisector is a line segment that cuts the angle perfectly in half.  For an example, let's say that angle FAE is 50°.  This means that angle 1 and 2 are both 25°.  

But now that we know an angle bisector cuts the angle perfectly in half, we now know that BF and BE have to be congruent (equal) to each other.  This means we can set up an equation:

2x+8=42

subtract 8 from both sides

2x=34

divide both sides by 2

x=17.

So, x=17.

I hope this helps you better understand! :)

The resulting matrix will have dimensions 2 x 2, just like matrix A because the number of rows in matrix A and the number of columns in matrix B dictate the size of the resulting matrix.

(a) It is impossible to compute CT + D because the dimensions of the matrices are incompatible. The matrix C has 1 row and 2 columns, whereas the matrix T has 2 rows and 1 column.

As a result, matrix multiplication is impossible because the number of columns in the first matrix does not match the number of rows in the second matrix. So, no, CT + D is not defined.

(b) Yes, AB is defined.

The dimensions of matrix A are 2 x 2, while the dimensions of matrix B are 1 x 2. The number of columns in matrix A matches the number of rows in matrix B, so matrix multiplication is possible.

The resulting matrix will have dimensions 2 x 2, just like matrix A because the number of rows in matrix A and the number of columns in matrix B dictate the size of the resulting matrix.

So, AB is a 2 x 2 matrix.

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Answer: 60°C

Step-by-step explanation:

Because you would find the absolute number of the negative so it would be 13 instead of -13 and then you add it to 47..... 13+47=60

The ferret tent has six triangular faces and a regular hexagonal base.

The ferret tent shown is a frustum of a regular pyramid, and its faces have unique properties. A frustum is a solid with a flat base and a top portion that has been cut by a plane parallel to the base.

A frustum is the part of a solid that remains after the top portion has been cut by a plane parallel to the base. The term "frustum" is used to describe a cone or pyramid with its top portion removed by a plane parallel to the base.

The shape of the frustum is determined by the height of the plane that intersects the top portion of the solid and the height of the solid itself.

The shape of a frustum is determined by the size and shape of the base, the size and shape of the top surface, and the height of the frustum. The height of the frustum is the distance between the base and the top surface.

Describe the faces of the solid:

The ferret tent shown is a frustum of a regular pyramid. A pyramid is a polyhedron with a base that is a polygon and triangular faces that meet at a common vertex.

The ferret tent has a hexagonal base and six triangular faces. The base is a regular hexagon, meaning that all six sides are the same length, and all six angles are the same size.

The six triangular faces of the ferret tent are also congruent, which means they have the same shape and size. Each of the triangular faces has two sides that are congruent, and the base of each triangle is a side of the regular hexagon base.

In addition, the six triangular faces of the ferret tent have the same angle measures, which means they are similar. This makes the ferret tent a regular pyramid.

Thus, the ferret tent has six triangular faces and a regular hexagonal base. Its faces have unique properties.

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Answer:

2x√x

....................................................

\(2^{4}\) is equal to 16, so 2 can be moved out of the 4th root.

\(x^{6}\) can be split into an \(x^{4}\) and \(x^{2}\), and the \(x^{4}\) can be moved out as well.

What you're left with is:

\(2x\sqrt[4]{x^{2}}\)

The Electron Geometry Chart is a visual representation of the arrangement of electrons in a molecule. It is used to predict the molecular shape and the bond angles of a molecule based on its electron-group geometry.

Electron geometry is a term used to describe the arrangement of electron groups around a central atom in a molecule. This arrangement is important in determining the molecular shape and the bond angles of the molecule, which can affect its physical and chemical properties.

The Electron Geometry Chart provides a simple and visual way of understanding the arrangement of electrons in a molecule. It shows the number of electron groups surrounding a central atom and the shape that they form.

The chart also shows the bond angles between the electron groups and the central atom, which can be used to predict the molecular shape of the molecule.

The value of the Electron Geometry Chart lies in its ability to help students and scientists understand the relationship between the electron arrangement in a molecule and its molecular shape and bond angles.

By using the chart, students can develop a deeper understanding of molecular geometry and its impact on the physical and chemical properties of a molecule.

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The vector field, \(F(x,y) = (-8x-5y)i + M(x,y)\), is conservative. The correct function \(M(x,y)\) for the given vector field is \(M(x,y) = 16x + 8y.\)

A vector field F is said to be conservative if and only if the line integral of the vector field F along every closed path in the region of its existence is zero.

Conservative vector fields can be represented by the gradient of a scalar function, called the potential function.

Conservative vector fields have some unique properties like:

If a vector field is conservative, then the work done by the field on a particle moving along a closed path is zero.

If a vector field is conservative, then the line integral of the vector field around any closed path is zero.

Now, for the given vector field \(F(x,y) = (-8x-5y)i + M(x,y)\), to be conservative,

we need to verify the curl of the vector field.

\(ϵ_{ijk} x_i (∂ F_k/∂ x_j)=0.\)

Here, we have \(F(x,y) = (-8x-5y)i + M(x,y).\)

So, \(∂ F_y/∂ x = -8 and ∂ F_x/∂ y = -5.∴ curl(F) = ∂ F_y/∂ x - ∂ F_x/∂ y= -8 - (-5)= -3.\)

Now, as the curl of the vector field is non-zero (-3),

the vector field is not conservative.

Now, to make the given vector field \(F(x,y) = (-8x-5y)i + M(x,y)\), we need to find \(M(x,y)\) such that the curl of the vector field is zero.∴ \(∂ M/∂ x = -∂ F_x/∂ y= 5\) and \(∂ M/∂ y = -∂ F_y/∂ x= 8.∴ M(x,y) = 16x + 8y.\)

Hence, the correct answer is: \(M(x,y) = 16x + 8y.\)

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Answer:if u has a screen shot I whould add a better answer but 0.36 or any smaller number start with 0.

Step-by-step explanation:

Answer:

0.36 0.35 0.34 so on

Step-by-step explanation:

screenshot would help

The statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

The comparison test states that if 0 ≤ f(x) ≤ g(x) and the integral of g(x) dx diverges, then the integral of f(x) dx also diverges. However, the statement assumes that f(x) and g(x) are equal to zero, which means that 0 ≤ f(x) ≤ g(x) is not satisfied.

Additionally, the assumption that g(x) dx diverges does not necessarily imply that f(x) dx also diverges. For example, let g(x) = 1/x^2 and f(x) = 0 for all x. Then g(x) dx diverges, but f(x) dx converges to zero.

In conclusion, the statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

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The most likely happened in Sandy's experiment is that,

Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.

Option D is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Tossing a coin:

The probability of getting a head = 1/2

The probability of getting a tail = 1/2

This is the theoretical probability.

Now,

Experiment probability:

Virtual coins too have the same probability of getting a head and a tail as compared to the theoretical probability.

Thus,

Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.

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Answer:Not Sure but it is not D at all so please don't use that!

Step-by-step explanation:

Answer:

Option A :- V = 301.44

Step-by-step explanation:

Formula= V = (1/3)πr²h

Volume = 1/3 × 22/7 × 36 × 8

⇒ 301.44

Answer:

please add the image ........

Answer:

figure please ...........

Answer:

-4x^2+5x-28

Step-by-step explanation:

3x^2 +5x - 7(x^2 +4)

Distribute the -7

3x^2+5x-7x^2-28

Combine like terms

-4x^2+5x-28

Answer:

it equal 6.72

Step-by-step explanation:

if u divide them it will equal 6.7 but his answer would of looked like 672

The number of CDs that can be bought are { 5, 4, 3, 2, 1 }.

What is an inequality ?

A relationship between two expressions or values that is not equal to each other is referred to as "inequality" in mathematics. So inequality emerges from an imbalance.

Given, No. of CDs = x

A CD costs $11 and He has total $60.

So, According to the question,

No. of CDs × Cost of each CD ≤ 60

                                         x × 11 ≤ 60

                                         11x ≤ 60

                                          x ≤ 60/11

Since the number of CDs can't be in fraction and The maximum CDs can be bought is 5.

So, The possible No. of CDs that can be purchased are { 5, 4, 3, 2, 1 }

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