3. A Fahrenheit thermometer reads 63°F. If the temperature increases 10°F, to the nearest degree, what is the new temperature C, in degrees Celsius?​

The Area of the given quadrilateral or four sided polygon is equal to the value of 36 cm².

Given,

Length of the Rectangle is equal to 6 cm.

Breadth of rectangle is 4 cm.

Height of the right angled triangle is 4 cm.

Length of the base of the triangle is 3 cm.

First we need to find the area of single then multiply it with 2 since the lengths of the triangles are same and the area will also be same.

⇒ Area of Triangle = \(\frac{1}{2} * b *h\)

Area of Triangle = \(\frac{1}{2}\) * 4 * 3

Area of Triangle = 6 cm².

Now, area of two triangles is equal to 2 * 6 cm² = 12 cm².

⇒ Area of Rectangle = length * breadth

Area of Rectangle = 6 * 4

Area of Rectangle = 24 cm²

Now, total area = Area of Triangle + Area of Rectangle

Total area = 12 cm² + 24 cm²

Total area = 36 cm².

Therefore, the Area of the given quadrilateral or four sided polygon is equal to the value of 36 cm².

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As per the Leading Coefficient Test, If a polynomial is of an odd degree and the leading coefficient is positive then polynomial, then it Rises to the right and falls to the left.

Leading Coefficient Test:

The leading coefficient test defined that the graph rises or falls depending on whether the leading terms are positive or negative, so for left-hand behavior (negative numbers), by the use of both the coefficient and the degree of the component together.

Given,

Here we have to determine If a polynomial is of an odd degree and the leading coefficient is positive then polynomial will fall in which place.

By using the Leading Coefficient Test we have to determine the end behavior of the graph of the polynomial function.

Here we know that the behavior of the polynomial function is odd degree and the leading coefficient is positive.

Therefore, as per the leading coefficient test, the resulting graph will rises to  the right and falls to the left.

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Answer:

Step-by-step explanation:

Given the following value 44c⁵, 22c³ and 11c⁴, the greatest common factoe of the function is the value that will go in the 3 functions without remainder. To get that, let us first find the factors of each function

44c⁵ = 4*(11*c*c*c)*c*c

22c³ = 2*(11*c*c*c)

11c⁴ = (11*c*c*c)*c

The values that are common to the 3 functions are the values in parenthesis i.e 11 * c * c * c

Since 11 * c * c * c = 11c³

Hence the  greatest common factor of 44c⁵, 22c³ and 11c⁴ is 11c³

Answer:

the answer is x=0 because y intercept always have a zero value of x.

same goes to x intercept, where the value of y must always 0

The y-intercept of function is 2, the row of the table reveals the y-intercept of function f is row 2.

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

From the table, we have (0, 2) and (1, 0).

Substitute (x₁, y₁)=(0, 2) and (x₂, y₂)=(1, 0) in m= (y₂-y₁)/(x₂-x₁)

= (0-2)/(1-0)

= -2

Substitute m=-2 and (x, y)=(0, 2) in y=mx+c, we get

2=-2(0)+c

c=2

Substitute m=-2 and c=2 in y=mx+c, we get

y=-2x+2

Here, y-intercept of function is 2

Therefore, the y-intercept of function is 2, the row of the table reveals the y-intercept of function f is row 2.

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By using the Cauchy-Riemann equations on a real-valued function, it can be proven that the function f(z) is constant in the domain D. This is important for understanding analytic functions in complex analysis.

To prove that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D, let a function f be analytic everywhere in a domain D. We know that a real-valued function is said to be a function whose values lie on the real line. In the case of the complex plane, a function whose values lie on the real line is real-valued.

The Cauchy-Riemann equations, which define the necessary conditions for a function f(z) to be analytic in a domain, say that the imaginary component of f(z) is determined by its real component.

To be more precise, if f(z) is real-valued for all z in D, then we can say that:u(x, y) = f(z),v(x, y) = 0

By definition, the Cauchy-Riemann equations can be stated as:

∂u/∂x = ∂v/∂y∂u/∂y = -∂v/∂x

Taking the first equation, we get:

∂u/∂x = ∂v/∂y => ∂v/∂y = 0

Since v is equal to 0 for all values of x and y, the above equation reduces to ∂u/∂x = 0, which implies u is constant with respect to x.

Similarly, taking the second equation, we get:

∂u/∂y = -∂v/∂x => ∂u/∂y = 0

Since u is equal to a constant for all values of x and y, the above equation reduces to ∂v/∂y = 0, which implies v is constant with respect to y. Since u and v are both constant with respect to their respective variables, u + iv = f(z) is a constant with respect to z throughout the domain D. Thus, we have proved that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D.

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Answer:

Step-by-step explanation:

son age be x

Aman age is 3x

ten years ago

son age x-10

aman age 3x -10

A.T.Q

5(x-10) = 3x -10

5x -50 = 3x - 10

2x = 40

x =20

3x=60

son present age =20

aman present age = 60

Answer: a.) A rate of pay for hours worked exceeding 40 hours

Step-by-step explanation:

Just like in the NBA or any sport there can be a section of overtime when the clock runs out and both sides are tied. In this problem overtime means that george can work more than he has to in order to make more money. The key word "exceeding" is just a synonym for more so that's how they try to trick you

Answer:

x=−2,5,−4

explanation:

im learning this in class rn

If a mathematical society in India designed a stamp. The  area of the design on the stamp is:  1018.08mm².

First step is to find the shorter leg

CD =DB√3

DB =CD/√3

DB= 42/√3

DB = 24.24mm

Second step is to find the hypotenuse

DB = BC/2

BC =2 × DB

BC = 2× 24.24 mm

BC =48.48 mm

Now let find the area

Area = 1/2 AB × CD

Area = 1/2× BC ×CD

Area = 1/2 × 48.48mm × 42

Area = 1018.08mm²

Therefore the  area of the design on the stamp is:  1018.08mm².

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Answer:

b = 30

Step-by-step explanation:

The sum of the 2 angles above the line will equal the angle below the line

3b + b - 15 = 2b + 45

4b - 15 = 2b + 45 ( subtract 2b from both sides )

2b - 15 = 45 ( add 15 to both sides )

2b = 60 ( divide both sides by 2 )

b = 30

The figure is a right-angled triangle so we can use trigonometric ratios to solve for E.

Side DE is adjacent to That is

Since \(\begin{gathered}

The internal angles of a triangle are always added together to make 180°. The inner angles in a quadrilateral are always added up to 360 degrees. This characteristic can be used to determine other angles.

Describe a quadrilateral using an example?

Four sides, four angles, and four vertices make up a quadrilateral, which is a type of polygon. Latin words "quadri," which means four, and "latus," which indicates side, are the roots of the English word "quadrilateral."

                      A quadrilateral is demonstrated in the illustration above. Four sides make up the ABCD quadrilateral: AB, BC, CD, and DA.

The five fundamental quadrilaterals are:

Quadrilaterals come in five different shapes: rectangle, square, parallelogram, trapezium or trapezoid, and rhombus.

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If a set s = {u1,...., up} g has the prοperty that ui*uj uj d 0 whenever i≠ j , then S is an οrthοnοrmal set. The given statement is false.

The prοperty mentiοned in the statement, which states that the inner prοduct οf any twο distinct vectοrs in the set is zerο (i.e., ui * uj = 0 fοr i ≠ j), implies οrthοgοnality. Hοwever, fοr a set tο be cοnsidered οrthοnοrmal, it must satisfy twο cοnditiοns:

1. Orthοgοnality: Each pair οf distinct vectοrs in the set must be οrthοgοnal, meaning their inner prοduct is zerο.

2. Nοrmalizatiοn: Each vectοr in the set must have a length (οr magnitude) οf 1, which is achieved by dividing each vectοr by its nοrm.

In the given statement, οnly the οrthοgοnality cοnditiοn is satisfied, but the nοrmalizatiοn cοnditiοn is nοt mentiοned. Therefοre, we cannοt cοnclude that the set is οrthοnοrmal based οn the given prοperty alοne.

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Answer: 3 inches tall

Step-by-step explanation:

Answer:

A measure of exposure-disease association one could use is the odds ratio (OR)

Step-by-step explanation:

An Odds ratio (OR) is a statistical measure quantifying the level of association between two events such as an exposure and an outcome

The odds ratio gives the probability of outcome where there is a given amount of exposure

We have the table;

\(\begin{array}{ccc}&Developed \ lung \ cancer& Did \ not \ develop \ lung \ cancer\\Smokers&50&350\\Non-smokers&10&590\end{array}\)

The odds ratio = (The number of smokers with the lung-cancer)/(The number of non-smokers with lung-cancer) ÷ (The number of smokers smokers without long cancer).(The number of non-smokers without long cancer)

∴ OR = (50/10) ÷ (350/590) = 59/7 = 8.\(\overline{428571}\) ≈ 8.4

Therefore, a smoker is approximately 8.4 times more likely to develop lung cancer than a non-smoker.

We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

The scale of measurement being used to classify the students in the introductory art class as art majors and non-art majors is nominal.

Nominal scales are used for categorical data, where the items being measured can be placed into categories or labels, but no order or ranking is implied. In this case, the students are being classified into two categories: art majors and non-art majors.

The students are being classified into two categories: art majors and non-art majors. These categories are mutually exclusive and exhaustive, meaning that every student in the class falls into one and only one of the two categories. There is no inherent order or ranking to the categories, and it is not meaningful to say that one category is greater or smaller than the other. This type of data classification is an example of nominal scale measurement.

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Answer:

AA (similar)

Step-by-step explanation:

<Q = <U

64 + 37 = 101°

180 - 101 = 79°

<S is a reflexive angle, congruent on both sides.

AA similarity

The required coordinates of the vertices of △ABC after it has been rotated 90 degrees, reflected across the line y=0, and then translated according to the rule (x+3,y-3) are A''' = [8, 1], B''' = [-3, -6], and C''' = [-5, -4].

To determine the coordinates of the vertices of △ABC after it has been rotated 90 degrees, reflected across the line y=0, and then translated according to the rule (x+3,y-3), we need to apply these transformations to the coordinates of the original vertices in the order given.

First, we rotate the triangle 90 degrees counterclockwise around the origin. This transformation can be represented by the matrix:[cos(90) -sin(90)][sin(90) cos(90)]

Applying this matrix to the coordinates of the vertices of △ABC, we get:A' = [-5, 4]B' = [6, -3]C' = [8, -1]

Next, we reflect the triangle across the line y=0.

This transformation can be represented by the matrix:[-1 0][0 1]

Applying this matrix to the coordinates of the vertices of △ABC', we get:A'' = [5, 4]B'' = [-6, -3]C'' = [-8, -1]

Finally, we translate the triangle according to the rule (x+3,y-3).

This transformation can be represented by the matrix:[1 0][0 1]

Applying this matrix to the coordinates of the vertices of △ABC'', we get:A''' = [8, 1]B''' = [-3, -6]C''' = [-5, -4]

Therefore, the coordinates of the vertices of △ABC after given transformations are A''' = [8, 1], B''' = [-3, -6], and C''' = [-5, -4].

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Answer:

Answer:A)

Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax

here x will be number of bowl which can only be dicrete value e.g 1 , 2 , 3 , 4 ...

Step-by-step explanation:

A discrete graph is a series of scatter plot points. It means point on graph aren't continuous manner.

A continuous function allows the x-values to be ANY points in the interval, including fractions, decimals, and irrational values. A discrete function allows the x-values to be only certain points in the interval, only integers or whole numbers.

Example

Number of student, x

x can only be integer

Step-by-step explanation:

1 . when we collect like terms we only focus on the variables and the power of the variable I f exist so in this question the answer is 8x^2 because both have the same variable and same power or exponent.

2. one term is monomial

two terms is binomial

3. b

4. -9

5. c

The correct option is d. ¼, which is the probability of the particle having a negative displacement at time t = 2 if there is Brownian movement.

In this problem, we are given a Brownian motion with X0 = 0 and X1 > 0, and we need to find the probability of X2 < 0.

We can use the properties of Brownian motion to solve this problem. Since X1 > 0, we know that the particle has moved to the right of the origin at time t = 1. Since the process has independent and stationary increments, we can assume that the particle moves from X1 to X2 in the same way as it moved from 0 to X1.

Therefore, the displacement of the particle from X1 to X2 is equivalent to the displacement of the particle from 0 to X1. Since X1 is positive, we know that the particle has a positive displacement at time t = 1.

The probability of the particle having a negative displacement at time t = 2 depends only on the variance of the Brownian motion over the time interval [1,2]. The variance of a Brownian motion over an interval of length t is proportional to t, so the variance of the displacement from X1 to X2 is twice the variance of the displacement from 0 to X1.

Therefore, the probability of X2 < 0 is given by the probability that a standard normal random variable is less than -X1/√2, since the variance of the displacement from X1 to X2 is twice the variance of the displacement from 0 to X1.

This probability can be calculated using a standard normal table or a calculator, and it is given by:

P(X2 < 0) = P(Z < -X1/√2) = 1 - Φ(X1/√2)

where Φ is the standard normal cumulative distribution function.

Substituting X1 = E[X1] = √1 = 1, we get:

P(X2 < 0) = 1 - Φ(1/√2) ≈ 0.25

Therefore, the correct option is d. ¼, which is the probability of the particle having a negative displacement at time t = 2.

Brownian motion is a stochastic process that models the random movement of particles in a fluid. It is a continuous-time process, where the change in position over a small time interval is normally distributed with mean zero and variance proportional to the length of the interval.

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The 95% confidence interval for the population mean revenue of the meters in the entire parking lot is approximately $84.33 to $99.67.

To find a 95% confidence interval for the population mean revenue of the meters in the entire parking lot, we can use the t-distribution since the sample size is small (n = 5) and the population standard deviation is unknown.

Given the sample data: 100, 87, 95, 90, 88

1. Calculate the sample mean :

 (100 + 87 + 95 + 90 + 88) / 5 = 92

2. Calculate the sample standard deviation (s):

  Step 1: Calculate the squared differences between each observation and the sample mean:

  (100 - 92)^2, (87 - 92)^2, (95 - 92)^2, (90 - 92)^2, (88 - 92)^2

  = 64, 25, 9, 4, 16

  Step 2: Calculate the sum of squared differences:

  64 + 25 + 9 + 4 + 16 = 118

  Step 3: Calculate the variance:

  Variance (s^2) = Sum of squared differences / (n - 1) = 118 / (5 - 1) = 29.5

  Step 4: Calculate the sample standard deviation (s):

  s  ≈ 5.43

3. Calculate the t-value for a 95% confidence interval with (n - 1) degrees of freedom:

  For n = 5, the degrees of freedom = 5 - 1 = 4.

  Using a t-distribution table or a statistical software, the t-value for a 95% confidence interval with 4 degrees of freedom is approximately 2.776.

4. Calculate the margin of error (E):

  E =≈ 7.67

5. Calculate the lower and upper bounds of the confidence interval:

  Lower bound = 92 - 7.67 ≈ 84.33

  Upper bound = 92 + 7.67 ≈ 99.67

Therefore, the 95% confidence interval for the population mean revenue of the meters in the entire parking lot is approximately $84.33 to $99.67.

This means that we can be 95% confident that the true population mean revenue falls within this interval based on the given sample data.

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The quotient of 462 and 28 is 16.5 when written in decimal notation.

To calculate this, you divide 462 by 28:

462 ÷ 28 ≈ 16.5

The division process involves dividing the digits of the dividend (462) by the divisor (28) and obtaining the result. In this case, the result is approximately 16.5. The decimal point is placed after the digit 5, indicating the presence of a fractional part.

Please note that this is an approximation because the exact result would involve an infinite decimal expansion, which is typically rounded to a certain number of decimal places for practical purposes.

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Answer:

In general, those students that studied scored much higher than those students that did not study.

Step-by-step explanation:

Hope this helps.

The median of the group that did not study is less than 80.

also

In general, those students that studied scored much higher than those students that did not study.

The volume of the cylinder can be obtained from the calculation as  1356 \(cm^3\)

We know that the volume of the cylinder is;

π (pi) is a mathematical constant approximately equal to 3.14159

r is the radius of the cylinder's base (the distance from the center to the edge of the circular base)

h is the height of the cylinder (the distance between the bases)

By substituting the appropriate values for the radius and height into the formula, you can calculate the volume of the cylinder.

V = π\(r^2\)h

V = 3.14 *\((12/2)^2\) * 12

h = 1356 \(cm^3\)

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