Please help me with this homework

Answer:

Huh?

Step-by-step explanation:

I don't get it.

The given premises state that everyone in the Computer Science branch has studied Discrete Mathematics, and Ram is in the Computer Science branch.

From these premises, we can logically infer that Ram has studied Discrete Mathematics. This conclusion can be derived by using the principle of universal instantiation. The principle of universal instantiation allows us to infer that if a statement is universally quantified, such as "Everyone in the Computer Science branch has studied Discrete Mathematics," and we have a specific individual that falls under that universal quantification, such as "Ram is in the Computer Science branch," then we can conclude that the specific individual also satisfies the statement.

Since the premise states that "Everyone in the Computer Science branch has studied Discrete Mathematics," we can consider this statement as a universal statement, asserting that for all individuals in the Computer Science branch, they have studied Discrete Mathematics. Now, when we are given the additional information that "Ram is in the Computer Science branch," we can apply the principle of universal instantiation.

By instantiating the universal statement with the specific individual Ram, we can conclude that Ram has studied Discrete Mathematics, since Ram falls under the universal quantification of "Everyone in the Computer Science branch." Therefore, the premises logically imply that Ram has studied Discrete Mathematics.

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The results of the given expressions include the following:

In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Part 1.

Based on the information provided, we have the following mathematical expression:

2 - 6(4 - 7)²

2 - 6(-3)²

2 - 6(9)

2 - 54

-52

Part 2.

6x - 4

6(-2) - 4

-12 - 4

-16

Part 3.

−5x² − x + 9

−5(-3)² − (-3) + 9

-5(9) + 3 + 9

-45 + 12

-33

Part 4.

7x - 1 - 4x + 5

3x + 4

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Answer:

  f(x) = 3x³ -6x² -21x -12

Step-by-step explanation:

You want a polynomial function that touches the x-axis at x = -1, crosses it at x = 4, and goes through the point (-2, -18).

Each zero (p) of a polynomial corresponds to a linear factor (x -p). If the zero has even multiplicity, the function will not change sign there, but will touch the x-axis and "bounce".

The requirements indicate a factor (x +1) with even multiplicity, and a factor (x -4). The least-degree such polynomial will have the factored form ...

  f(x) = a(x +1)²(x -4)

The value of this polynomial at x = -2 is ...

  f(-2) = a(-2 +1)²(-2 -4) = -6a

We want this to be -18, so ...

  -6a = -18   ⇒   a = 3

Then the factored polynomial is ...

  f(x) = 3(x +1)²(x -4)

When we multiply this out, we get ...

  f(x) = 3x³ -6x² -21x -12

__

Additional comment

The attached graph verifies the desired characteristics.

The given mixed fraction 5 1/4 can be expressed as 21/4 in improper fraction.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

A mixed fraction is one that has both a correct fraction and a whole number portion, and whose value is consistently greater than 1. An example of a mixed number is 325 3 2 5. When the numerator is always higher than or equal to the denominator, the fraction is said to be inappropriate.

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Answer:

false

Step-by-step explanation:

The value of |−37| is 37

however, since the negative sign is in front of the absolute value,

−|−37| = -37

Therefore,

−|−37| does not equal 37

The given statement −|−37| = 37 is false.

Given that, −|−37| = 37.

We need to whether the given statement is true or false.

The absolute value of a variable x is represented by |x| which is pronounced as 'Mod x' or 'Modulus of x'. 'Modulus' is a Latin word, which means 'measure'. Absolute value is commonly referred to as numeric value or magnitude. The absolute value represents only the numeric value and does not include the sign of the numeric value. The modulus of any vector quantity is always taken as positive and is its absolute value.

Now, |−37|=37

So, -|−37|=-37

Therefore, the given statement is false.

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The given Expression simplifies to -8.1069556e+27

BODMAS stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction. A mathematical expression's order of execution is explained using the BODMAS.

Given an equation to solve,

6234653928 + 294292342 - 424624642 x 16515615615165161 x 1156 + 6466456

Let us consider this Expression as A + B - C * D * E + F, with the corresponding terms being equal

By, the BODMAS rule,

First step: Multiply C, D, E. Let this be G

Now, the equation will look like this: A + B - G + F

Second step: We can add and subtract according to the signs now

On solving, the expression simplifies to -8.1069556e+27

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Answer:

C

Step-by-step explanation:

-18x + 21 > -15  ///  x = 2

20x – 13 >27  ///  x = 2

The solution of inequality -18x + 21 > -15 OR 20x – 13 > 27 is x ∈ (- ∞, ∞), so option E is correct.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

-18x + 21 > -15 or  20x – 13 >27

Solve the first inequality as shown below,

-18x + 21 > -15

-18x + 21 - 21 > -15 - 21       (Subtract 21 from both sides)

-18x > -36

-18x / -18 > -36 / -18      (Divide by -18 into both sides, the inequality sign changes as the value will become positive)

x < 2

Similarly, solve the second inequality,

20x – 13 > 27

20x > 40

x > 2

Thus, the solution will be x < 2 ∪ x > 2 or x ∈ (- ∞, ∞)

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Answer:

a

Step-by-step explanation:

General equation of a circle : \((x-h)^2+(y-k)^2=r^2\)

where (h,k) is at center and r = radius

Here, we want to find the equation of a circle with a given center at (3,4) and a given radius of 6

This is very simple, all we have to do is assign variables and then plug in the values of the variables into the general equation of a circle

First lets assign variables.

(h,k) is center and the circle has a given center at (3,4)

so (h,k) = (3,4) thus, h = 3 and k = 4

r = radius and the circle has a given radius of 6 so r = 6

now we plug this into the general equation of a circle.

recall equation : (x-h)² + (y-k)² = r²

h = 3, k = 4 and r = 6

plug in values

(x-3)² + (y-4)² = 6²

simplify exponent

(x-3)² + (y-4)² = 36

and we are done!

The answer is A

Therefore , the solution of the given problem of triangle comes out to be triangle's length, rounded to two decimal places, is roughly 33.33 units.

A polygon is a hexagon if it has not less than one extra segment. It has a straightforward rectangle-shaped structure. Only edges A and B can differentiate something like this from an ordinary triangular shape. Despite the exact collinearity of the borders, Euclidean geometry only produces a part of the cube. Three edges and three angles make up a triangle.

Here,

Finding the length of each side and adding them together will allow us to determine the perimeter of the triangle whose points are E(12,-5), D(-1,-1), and F(7,-4).

The length of EF is given below using the distance formula:

=> √((7 - 12) ² + (4 - (- 5))² = √(25 + 81) = √(106) =  10.30

The ED is as follows:

=>  sqrt((-1 - 12)2 + (-1 - (-5))2) = sqrt(169 + 16) = sqrt(185), which is 13.60.

And DF is this long:

=>  √((7-1))² + (4-1))² = √(64+25) = √(89) = 9.43

As a result, the triangle's circumference is:

=>  10.30 + 13.60 + 9.43 ≈ 33.33

The triangle's length, rounded to two decimal places, is roughly 33.33 units.

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Answer:

w - 20

Step-by-step explanation:

Remove the parenthesis by multiplying each term of (w + 5) by (-4)

-4(w + 5) + 5w = -4*w + 5*(-4) + 5w

                       = -4w - 20 + 5w

                       = -4w + 5w - 20

        Combine like terms. Like terms have same variable with same power.

                       = w - 20

Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

Answer:

I think It is 20%

Step-by-step explanation:

because how you spin on the ground how it rises from down to the top

Answer: .8, -.9, -.5, .9 (estimates)

Step-by-step explanation: correlation coefficients are between -1.0 and 1.0.

    -1.0 means a perfectly negative correlation, which will be a straight line going down from left to right

    0 means no correlation, it's just random points on the graph with no sense of direction or relationship

   1.0 means a perfectly positive correlation, which will be a straight line going up from left to right

the more line-like the shape the data points make are, the further away the correlation coefficient is from 0. you can tell if it's negaitive or positive from the direction of the line.

Hypothesis testing is a statistical method in which an analyst conducts a hypothesis test on a sample of data to draw inferences about the entire population.
1. Hypothesis tests are one of Inferential statistics. True. Inferential statistics, which deals with generalizing sample data to the population from which the sample was taken, includes hypothesis testing.
2. Mean is a central tendency measurement it is necessary to be one of the raw data. False. The mean measures central tendency calculated by adding all the values and dividing by the number of observations. The mean value does not have to be one of the raw data values. It's just a mathematical calculation used to represent a typical value for a dataset.
3. Calculation of the mean considers all the data, while other measurements do not consider all raw data. True. The mean calculation considers all data points, whereas other measures of central tendency, such as the median and mode, do not. This property makes the mean more representative of the entire data set.
4. Mode, median, and mean are single when that data is normally distributed. False. The mode, median, and mean are distinct when the data is non-normal. The mode, median, and mean are identical when data is normally distributed.
5. Mutually exclusive events can contain common elements. False. If two events are mutually exclusive, they cannot occur simultaneously. They have no elements in common by definition.
6. In the standard normal distribution, μ=1 and σ=0. False. In the standard normal distribution, the mean (μ) is 0, and the standard deviation (σ) is 1.

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Answer:

-2

Step-by-step explanation:

Answer:

19 kilograms

Step-by-step explanation:

because it is

Answer:

41.4º

138.6º

Step-by-step explanation:

x + (x - 97.2) = 180

2x - 97.2 = 180

2x = 277.2

x = 138.6º

x - 97.2 = 41.4º

Answer:

Step-by-step explanation:

Write down the factors for the numerator and the denominator.

Determine the largest factor that is common between the two.

Divide the numerator and denominator by the greatest common factor.

Write down the reduced fraction.

Answer:

21

Step-by-step explanation:

2(-5) = -10

-10 -1 = -11

|-11| = 11

11 + 10 = 21

|2x-1| +10

f(-5) means to replace x in the equation with -5:

|2(-5)-1| +10

SImplify:

|-10 -1| +10

|-11| +10

Absolute value is a positive so |-11| becomes 11

Now you have 11 + 10 = 21

Answer: 21

The solution of the differential equation is \(y = (48/t - 6t)^{-1/2}.\)

A differential equation is a mathematical equation that describes the relationship between a function and its derivatives.

In this particular differential equation, the dependent variable is y and the independent variable is t. The equation states that the rate of change of y with respect to t is equal to

=> y²(6 + t).

To find the solution to this differential equation, we first need to separate the variables and integrate both sides.

This gives us an equation of the form

\(= > y = (C/t - 6t)^{-1/2}\)

where C is an arbitrary constant.

To find the value of C, we use the initial condition y = 8 when t = 1. Plugging in these values, we find that

=> C = (8)² * 1 - 6 = 48.

So, the solution to the differential equation is

=> \(y = (48/t - 6t)^{-1/2}.\)

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To begin with, let's first understand what a rectangular prism is. A rectangular prism is a three-dimensional object that has six faces,

Each of which is a rectangle. The faces are parallel and congruent, meaning they have the same size and shape. Now, coming to your question, you are asking about the area of one face of the rectangular prism.

Since all the faces of a rectangular prism are rectangles, the area of one face can be calculated by multiplying the length and width of the face.

For example, if the length of the rectangular prism is 5 units and the width is 3 units, the area of one face would be 5 x 3 = 15 square units. The units used to measure the length and width will also determine the unit of measurement for the area.

So, to summarize, the area of one face of a rectangular prism can be found by multiplying the length and width of that face.

if you have a rectangular prism with dimensions of length = 5 units, width = 4 units, and height = 3 units, you can calculate the area of each face as follows:

1. Length x width: 5 x 4 = 20 square units
2. Length x height: 5 x 3 = 15 square units
3. Width x height: 4 x 3 = 12 square units

So, the areas of the three different pairs of faces for this rectangular prism are 20, 15, and 12 square units, respectively.

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Answer:

uh can we see the chart

Step-by-step explanation:

To solve the cash flow diagram and determine the factors and NPV, we have the following information:

V1 = $2,000.0 (Initial cash inflow)

V2 = $3,679.1 (Cash inflow at year 5)

D = $305.4 (Cash outflow at year 5)

A = $287.5 (Annual cash inflow)

g = 2.7% per year (Growth rate)

i = 6% (Discount rate)

Let's calculate the factors for each cash flow using the X, i, and N format:

Factor for V1: X = V1

               i = 6%

               N = 0 (Year 0)

               FV = V1

Factor for V2: X = V2

               i = 6%

               N = 5 (Year 5)

               FV = V2

Factor for D:  X = -D

              i = 6%

              N = 5 (Year 5)

              FV = -D

Factor for A:  X = A

              i = 6%

              N = 1, 2, 3, 4 (Years 1 to 4)

              FV = A * (1 + g)^N

Now, let's calculate the future value (FV) for the annual cash inflow using the growth rate:

FV = A * (1 + g)^N

FV = $287.5 * (1 + 2.7%)^1 + $287.5 * (1 + 2.7%)^2 + $287.5 * (1 + 2.7%)^3 + $287.5 * (1 + 2.7%)^4

Once we have the factors and the FV for each cash flow, we can calculate the Net Present Value (NPV) using the formula:

NPV = (Factor for V1 * FV for V1) + (Factor for V2 * FV for V2) + (Factor for D * FV for D) + (Factor for A * FV for A)

By substituting the respective factors and FV values into the NPV formula, we can calculate the NPV of the cash flow diagram.

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