the process of reasoning from a premise or premises to a conclusion based on those premises is known as

Given:

Equation of line is,

The rationale that supports this statement is:

​Situational experiences are interpreted differently.

Now, According to the question:

Let's Know:

What is the Rationale of the Study?

The rationale of the study explains the reason why the study was conducted (in an article or thesis) or why the study should be conducted (in a proposal). This means the study rationale should explain to the reader or examiner why the study is/was necessary.

We know that :

There are different levels and combinations of concerns among individual students.

Hence, The rationale that supports this statement is:

​Situational experiences are interpreted differently.

In the question;

There are different levels and combinations of concerns among individual students.

what is the rationale that supports this statement?

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a) The cube-shaped sculpture has edges that are 4 ft long, so the volume of the sculpture is 4^3 = 64 ft^3. The density of the marble is 170 lb/ft^3, so the weight of the sculpture is 64 ft^3 * 170 lb/ft^3 = 10,880 lb.

Since the sculpture weighs more than 10,000 lb, the pedestal should not be able to support it. The sculpture would require a pedestal that can support more than 10,000 lb.

b) The density of the marble is determined by the mass of the marble per unit volume. If the sculpture was half the size, it would have half the volume, but the same mass. So, the density of the marble would not change.

To estimate the number of sticks of butter needed to fill an empty bathtub, we can use the Fermi process.

First, we need to find the volume of the bathtub. A rectangular prism has a length of 60 inches, a height of 40 inches and a width of 20 inches. So, the volume of the bathtub is 604020 = 48000 cubic inches.

Next, we need to find the volume of a stick of butter. A stick of butter has a length of 4 inches, a width of 2 inches, and a height of 2 inches, so the volume of a stick of butter is 422 = 16 cubic inches.

Finally, we can divide the volume of the bathtub by the volume of a stick of butter to find the number of sticks of butter needed to fill the bathtub:

48000/16 = 3000 sticks of butter.

We can estimate that it would take around 3000 sticks of butter to fill an empty bathtub with the given measurements.

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The false alternative regarding A is the option c, |Ƥ (A)| = 8.

The set A is composed of three elements: the empty set, the number 1, and the set containing the number 1. The option a is true because the set containing the number 1 is a subset of A. The option b is also true because the empty set is a subset of A.

The option d is true because the empty set is an element of A. However, option c is false because the power set of A, which is the set of all subsets of A, has 2^3 = 8 elements, not |Ƥ (A)| = 8. The power set of A is {{⊘}, {1}, {{⊘}}, {{1}}, {{⊘}, 1}, {1, {1}}, {{⊘}, {1}}, {{⊘}, 1, {1}}}. Therefore, option c is the false alternative regarding A.

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Answer:

this is infinite solutions

Answer: x=7

Step-by-step explanation:

2/5=x+1/3x-1

find the LCD

15x-5

multiply 2/5 by 3x-1

multiply x+1/3x-1 by 5

6x-2=5x+5

x=7

Answer:

-11, 3

Step-by-step explanation:

We know one of the roots are

\((x+ 4) {}^{2} = 49\)

\(x + 4 = - 7\)

\(x + 4 = 7\)

\(x = - 11\)

or

\(x = 3\)

Answer: 720 because 3*3=9 and 240*3=720

Step-by-step explanation:

There are six possible ways a person can choose two balls at random from an urn containing five balls numbered 1, 2, 2, 6, and 6.

To understand how to calculate the number of combinations, let's break it down into two parts: selecting the first ball, and then selecting the second ball. Since there are five balls in the urn, the first ball can be chosen in five possible ways. Then, when selecting the second ball, the number of possible selections is reduced to four because one ball has already been selected. This can be expressed mathematically as: n(A)=5x4.

To calculate the total number of combinations, we then multiply the two numbers: 5x4=20. This result is then divided by two because the order of selection does not matter. As a result, 20/2=10, which means that there are ten possible combinations when choosing two balls at random from the urn. In conclusion, if an urn contains five balls numbered 1, 2, 2, 6, and 6, there are six possible ways a person can choose two balls at random. This can be expressed mathematically as n(A)=6 or n(A)=5x4/2.

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Answer:

16 inches

Step-by-step explanation:

12 divided by 3 is 4

4 inches for 1/4 of the year

4 x 4 = 16 inches

The rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3 is 0.3 m²/s.

If the lengths a and b for two sides of the triangle, as well as the included angle θ, are known, the area of a triangle can be calculated using the sine formula.

\(\text { Area }=\frac{1}{2} a b \sin \theta\)

Now, according to the question;

The two sides of the triangle are given;

Let a = 4m and b = 5m.

Let θ = π/3. be the angle between the two sides;

Then,

Differentiate the area with respect to time (as rate of change of area)

\(\begin{aligned}\frac{\mathrm{d} A}{\mathrm{~d} t}=\frac{\mathrm{d}}{\mathrm{d} t} \frac{1}{2} a b \sin \theta &=\frac{1}{2} * 4 * 5 * \frac{\mathrm{d}(\sin \theta)}{\mathrm{d} \theta} \cdot \frac{\mathrm{d} \theta}{\mathrm{d} t} \\&=10 *(\cos \theta) * 0.06 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.6 \cos (\pi / 3) \frac{\mathrm{m}^{2}}{\mathrm{~s}} \\&=0.6 * 0.5 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.3 \frac{\mathrm{m}^{2}}{\mathrm{~s}}\end{aligned}\)

Therefore, the area of the triangle as a function of angle is 0.3 m²/s.

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The complete question is-

Two sides of a triangle are 4m and 5 m in length and the angle between them is increasing at a rate of 0.06 rad/sec. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3.

The data value of 9770 corresponds to the 41st percentile if the mean population is 10000 and the standard deviation is 1000.

An equation is an expression that shows the relationship between two or more variables and numbers.

The z score is given by:

z = (raw score - mean)/standard deviation

Let us assume the mean population is 10000 and the standard deviation is 1000.

The 41st percentile corresponds with a z score of -0.23, hence:

-0.23 = (x - 10000)/1000

x = 9770

The data value of 9770 corresponds to the 41st percentile if the mean population is 10000 and the standard deviation is 1000.

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Answer:

-88or88

Step-by-step equation

example:ok do it like this ok

4x(-22) and if you dont believe is right check a calculator i solved myn on paper then checked it so its right

Answer:

3645

Step-by-step explanation:

65610/18=3645

The total cost for the week can be calculated by adding the cost of producing the caramel apples (0.75n) to the fixed cost of the booth ($120), which gives us the function C(n) = 0.75n + 120.

C(n) = 0.75n + 120

A function is a rule that assigns a unique output value to each input value. A function can be thought of as a machine that takes in an input and produces an output based on a set of instructions. The input and output values can be numbers, but they can also be other types of data, such as text or images.

Functions are an important concept in mathematics and are used in a wide range of fields, including science, engineering, economics, and computer science. They are often used to model relationships between different variables and to make predictions based on data. There are many types of functions, including linear functions, quadratic functions, exponential functions, and trigonometric functions. Each type of function has its own unique properties and can be graphed to help visualize the relationship between the input and output values.

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Answer:

13 hours

Step-by-step explanation:

Going from 3AM to 4PM is 12 hours plus 1.

As per similar rule:

So:

A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees.

Area of a square is measured in square units. The area of a square equals d22 square units when the diagonal, d, is known. For instance, a square with sides that are each 8 feet long is 8 8 or 64 square feet in area (ft2)

A square is a common polygon with four equal sides and angles that are each 90 degrees in length.

A square is a four-sided polygon with sides that are all the same length and angles that are all exactly 90 degrees. The square's shape ensures that both parts are symmetrical if it is divided down the middle by a plane. Then, each half of the square seems to be a rectangle with diagonal sides.

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We know

\(\boxed{\sf cos\theta=\dfrac{B}{H}}\)

\(\\ \sf\longmapsto cos\theta=\dfrac{8}{16}\)

\(\\ \sf\longmapsto cos\theta=\dfrac{1}{2}\)

\(\\ \sf\longmapsto cos\theta=cos60\)

\(\\ \sf\longmapsto \theta=60\)

Answer:

C, Or : This shows that it takes 2/3 of an hour to mow a lawn

Step-by-step explanation:

It simple. you just read the question. not that hard. .-.

Now,

<2 = <3 [ vertically opposite angle]

Then,

<2 = <8 [corresponding angles]

Again,

<2 + <5 = 180° [straight angle]

◆ True A || B

I hope you understand...

Mark me as brainliest...

Answer:

True

Step-by-step explanation:

∠ 2 and ∠ 5 are same- side exterior angles and are supplementary, sum to 180°

The equation of the polynomial equation is P(x) = (x + 2)(x + 4)(x - 3)(x + 3)

The given parameters are

Leading coefficient = 1

Zeros =  − 2 , − 4 , 3 , and 3 .

Polynomial equations have their multiplicities to add up to their degree.

This means that the multiplicity of the zeros is 1

The equation of the polynomial is then calculated as

P(x) = (x - zero)^ multiplicity

So, we have

P(x) = (x + 2)(x + 4)(x - 3)(x + 3)

From the question, the polynomial is to be factored

This means that we represent it as

P(x) = (x + 2)(x + 4)(x - 3)(x + 3)

Hence, the polynomial equation is P(x) = (x + 2)(x + 4)(x - 3)(x + 3)

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Polynomial is an expression consisting of indeterminates and coefficients the factored form of polynomial function is (x+2)(x+4)(x-3)(x-3)

Polynomial is an expression consisting of indeterminates and coefficients, which involves  the operations like addition, subtraction, multiplication, and positive-integer powers of variables

Factors are the numbers which divide the expression or number with a remainder zero.

We need to write the factored form of the polynomial functions with real; coefficients and zeros minus two comma  minus four comma three and 3.

The leading coefficient of the polynomial is 1. Leading coefficient means coefficient of leading term.

Zeros =  − 2 , − 4 , 3 , and 3 .

Let the polynomial is of variable x.

The equation of the polynomial is then calculated as

P(x) = (x - zero)^ multiplicity

(x-(-2))=x+2

(x-(-4))=x+4

(x-3)=x-3

So the factored form is (x+2)(x+4)(x-3)(x-3)

the polynomial is P(x)=(x+2)(x+4)(x-3)(x-3)

Hence the factored form of polynomial function is (x+2)(x+4)(x-3)(x-3).

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The statement, "T-cells require an accessory cell called "antigen-presenting" cell, which bears "MHC-molecules" on its surface" is True because antigen-presenting cells play a vital role in activating T-cells and initiating an immune response.

The "T-cells", require the presence of an antigen-presenting cell (APC) to initiate an immune response. Antigen-presenting cells, such as macrophages, dendritic cells, and B cells, play a crucial role in presenting antigens to T cells. These antigens are typically derived from pathogens or foreign substances.

The antigen-presenting cells present the antigens by displaying them on their surface in conjunction with major histocompatibility complex (MHC) molecules.

The MHC molecules are responsible for presenting the antigens to T cells, which then recognize and interact with the antigen-MHC complex. This interaction triggers the activation and proliferation of specific T cells, which leads to an immune response against the presented antigen.

Therefore, the statement is True.

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Answer: function

Step-by-step explanation: I'm not totally sure so I hope this helps

Answer:

I was walking home which I had to go up a hill I wanted to stop by the gas station which was a small hill upwords went back down that hill and the big hill to reach home.

Step-by-step explanation:

y axs = elavation

x axs = time

Hope that helped a little I need to do my hw but seen you needed help sorry if I did not help :(

The probability that the spinner lands on an odd number and then a shaded number is given as follows:

5/12.

A probability is obtained as the division of the number of desired outcomes by the number of total outcomes.

The probabilities of each event in this problem is given as follows:

Hence the probability that the spinner lands on an odd number and then a shaded number is calculated as follows:

p = 1/2 x 5/6 = 5/12.

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x = −30 and x = 50 , Absolute value equation into two separate equations, one with the positive expression and one with the negative expression

To solve for x, we first need to isolate the absolute value expression on one side of the equation. We start by adding 6 to both sides of the equation:
|1/5(x+2)| - 6 = 2
This gives us:
|1/5(x+2)| = 8
Next, we can split this absolute value equation into two separate equations, one with the positive expression and one with the negative expression:
1/5(x+2) = 8  OR  1/5(x+2) = -8
We can then solve for x in each equation separately. Starting with the positive expression:
1/5(x+2) = 8
Multiplying both sides by 5, we get:
x+2 = 40
Subtracting 2 from both sides, we get:
x = 38
Now solving for the negative expression:
1/5(x+2) = -8
Multiplying both sides by 5, we get:
x+2 = -40
Subtracting 2 from both sides, we get:
x = -42

So our two solutions are x = -42 and x = 38. However, we need to check our answers to make sure they satisfy the original equation. Plugging in x = -42 gives us:
|1/5(-42+2)| - 6 = 2
Simplifying the expression inside the absolute value, we get:
|(-40/5)| - 6 = 2
Simplifying further, we get:
8 - 6 = 2

2 = 2 (True)
Therefore, x = -42 is a valid solution. Next, plugging in x = 38 gives us:
|1/5(38+2)| - 6 = 2
Simplifying the expression inside the absolute value, we get:
|(40/5)| - 6 = 2
Simplifying further, we get:
8 - 6 = 2
2 = 2 (True)
Therefore, x = 38 is also a valid solution.

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