Which of these relations is a function?

Answer:

No solution

Step-by-step explanation:

1. Combine like terms: -14x -2 = -14x -4

2. Add 2 on both sides to isolate x: -14x = -14x -2

3. Add 14x on both sides: 0 = -2

There is no solution because 0 does not equal to -2.

Answer: 40 seconds per worksheet

Step-by-step explanation:

From the information given in the question, we are informed that Robert took 8 minutes to complete his 12 worksheets.

Based on this, his unit rate of completing worksheets will be given as:

= 8 minutes / 12

= 480 seconds / 12

= 40 seconds per worksheet

Note 1 minute = 60 seconds

8 minutes = 8 × 60 = 480 seconds

The cube root of 60 is 3.87 approximately.

Step by step solution:

We can calculate the cube root by Halley's method:

The  formula is \(\sqrt[3]{a} = x ((x^{3} + 2a)/(2x^{3} + a))\)

where,

a = number whose cube root is being calculated

x = integer guess of its cube root.

Here a = 60,

Suppose x as 3

[∵ 3³ = 27 and 27 is the nearest perfect cube that is less than 60]

⇒ x = 3

Therefore,

∛60 = 3 (3³ + 2 × 60)/(2 × 3³ + 60)) = 3.87

⇒ ∛60 ≈ 3.87

Therefore, the cube root of 60 is 3.87 approximately.

Here ,  ∛60 is irrational because it cannot be expressed in the form of p/q where q ≠ 0.

Therefore, the value of the cube root of 60 is an irrational number.

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A buffer solution is a solution that resists alterations in pH when a small amount of acid or base is introduced to the solution. Option d is correct.
 

Buffer solutions are critical in maintaining the correct pH for enzymes in a cell to function efficiently. Buffer solutions consist of a weak acid and its conjugate base or a weak base and its conjugate acid. The buffer solution's conjugate base or conjugate acid neutralizes any acid or base that enters the solution. A buffer solution is a solution that maintains a stable pH level by neutralizing any additional acid or base that is introduced to the solution.

The following is a list of pairs of substances, one of which is not a buffer system:KH2PO4, K2HPO4CH3NH2, CH3NH3ClH2CO3, NaHCO3HOBr, KOBrHBr, KBrThe correct answer to the question "Of the following pairs of substances.

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On solving the equations by elimination method, the value of x is 4 and y is -8.

'The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.'

According to the given problem,

Given equations = 2x - 2y =  24   (1)

                               4x + 7y = -40  (2)

Now, Multiplying equation (1) with 2,

⇒ 2( 2x - 2y ) = 2 × 24

⇒ 4x - 4y = 48  (3)

Now subtracting Equation (3) from equation (1),

⇒  4x + 7y - (4x - 4y) = -40 - 48

⇒ 4x + 7y - 4x + 4y = -88

⇒ 11y = -88

⇒ y = -8

Now, putting value of y in equation (1),

⇒ 2x - 2(-8) =  24

⇒ 2x + 16 = 24

⇒ 2x = 24 - 16

⇒ 2x = 8

⇒ x = 4

Hence, we can conclude the value of x = 4 and y = -11 by elimination method.

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Answer:

B - Spider-Man

Step-by-step explanation:

Answer:

3x-15

Step-by-step explanation:

> First start off by rewriting with each term that has the same variable beside each other

5x+ x -3x+xy+2xy-3xy-4-2-9

> Start to combine like terms

3x + 0xy - 15

> Rewrite

3x-15

The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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Answer:

The answer to c is an arc

Answer:

it's an arc of the circle.

Step-by-step explanation:

An arc of a circle is a "portion" of the circumference of the circle.

The sales receipt for the purchase includes the sales tax

The sales tax is calculated as:

Percentage sales tax * (Sum of Items subjected to tax) =  Sales tax.

So, we have:

T * (3 + 0.5) =  0.21

Evaluate the sum

T * (3.5) =  0.21

Divide both sides by 3.5

T =  6%

Hence, the sales tax is 6%

The price (p) at the top is calculated using:

p = 13 - 3 - 2 - 0.5

Evaluate the difference

p = 7.5

Hence, the price at the top is $7.50

60% of the original price (P) is p.

So, we have:

60% * P = p

Substitute 7.5 for p

60% * P = 7.5

Divide both sides by 60%

P = 12.5

Hence, the original price at the top is $12.50

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(a) the equation of the least squares line is y = (3/5)x - 1/5. b) Hence, the least-squares error for the given data points is 26/5.

To find the slope, we use the formula:

m = (nΣxy - ΣxΣy) / (nΣx^2 - (Σx)^2)

Using the given data points:

Σx = -1 + 2 + 1 = 2

Σy = -1 + 2 + 0 = 1

Σxy = (-1)(-1) + (2)(2) + (1)(0) = 5

Σx^2 = (-1)^2 + 2^2 + 1^2 = 6

n = 3

Substituting these values into the formula, we get:

m = (3(5) - (2)(1)) / (3(6) - (2)^2) = 3/5

To find the y-intercept, we use the formula:

b = (Σy - mΣx) / n

Substituting the values, we get:

b = (1 - (3/5)(2)) / 3 = -1/5

Therefore, the equation of the least squares line is y = (3/5)x - 1/5.

(b) To compute the least-squares error, we need to calculate the sum of the squared differences between the observed y-values and the predicted y-values using the least squares line.

Using the given data points and the equation of the least squares line, we calculate the squared differences and sum them up:

(-1 - (-1/5))^2 + (2 - (6/5))^2 + (0 - (2/5))^2 = 26/5

Hence, the least-squares error for the given data points is 26/5.

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Answer:

Exact Form:

(41036433850368 ^6  x  2419 ^54 )− 328

Decimal Form:

2.48516121  x  10 ^264

Answer:

Heyyy T-T

Step-by-step explanation:

Answer:

The answer is 11,374

Step-by-step explanation:

First we find 5% of 9,400 is.

9,400 * 5% = 470

Next we add 9,400 with 470 then multiply by 20%

9,400 + 470 = 9,870

9,870 * 20% = 1974

Next we add.

9,870 + 1,974 = 11,374

So, the answer is 11,374

Hope this helps! :)

The coordinate system with x-coordinates between -180 and 180 is likely to be the geographic coordinate system, specifically longitude values. This system represents positions on the Earth's surface using two angles: longitude (x-coordinates) and latitude (y-coordinates).

Longitude values range from -180 degrees (180 degrees West) to 180 degrees (180 degrees East) along the Earth's equator. Latitude values, on the other hand, range from -90 degrees (90 degrees South) to 90 degrees (90 degrees North). The origin (0, 0) of this coordinate system is the intersection of the Prime Meridian (Greenwich Meridian) and the Equator.

The units for these coordinates are typically expressed in decimal degrees (DD). These values can be converted into other units such as degrees-minutes-seconds (DMS) or radians, depending on the application or preference. When working with geographic coordinate systems, it is essential to consider the Earth's curvature and potential distortions when calculating distances or areas.

In summary, if a data set has x-coordinates between -180 and 180, the coordinate system is most likely the geographic coordinate system, representing longitude values. The coordinates are typically expressed in decimal degrees, and their positions relate to the Earth's surface.

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We can see here that:

A cube is a three-dimensional geometric shape that has six square faces, all of which are congruent (equal in size) and perpendicular to each other. It is a special type of rectangular prism where all edges have the same length, and all angles are right angles (90 degrees).

Cubes are commonly encountered in everyday life, such as dice, boxes, and Rubik's Cube puzzles. They have precise and uniform geometry, making them useful in various mathematical and engineering applications.

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Answer:

14/-3 or -4 2/3

Step-by-step explanation:

First distribute the 2 into the parenthesis. Then Isolate the variable by subtracting 2x from both sides to get.

3x+4=-10

Next subtract 4 from both sides to get.

3x=-14

To isolate x divide by three on both sides to get.

x=-4 2/3

Brailiest Plz.

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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The value of Expected value, variance, and standard deviation of y of given probability distribution is 6.4, 9.76 and 3.12 respectively.

To compute the expected value of y, denoted E(y), we use the formula:

E(y) = Σ [y × f(y)]

Using the given probability distribution, we have:

E(y) = (2 × 0.20) + (4 × 0.30) + (7 × 0.40) + (8 × 0.10) = 1.6 + 1.2 + 2.8 + 0.8 = 6.4

Therefore, the expected value of y is 6.4, rounded to 1 decimal place.

To compute the variance of y, denoted Var(y), we use the formula:

Var(y) = E(y^2) - [E(y)]^2

where E(y) is the expected value of y, and E(y^2) is the expected value of y squared. To find E(y^2), we use the formula:

E(y^2) = Σ [y^2 × f(y)]

Using the given probability distribution:

E(y^2) = (2^2 × 0.20) + (4^2 × 0.30) + (7^2 × 0.40) + (8^2 × 0.10) = 1.6 + 3.6 + 19.6 + 6.4 = 31.2

Substituting this and the previously calculated E(y) into the formula for Var(y), we get:

Var(y) = E(y^2) - [E(y)]^2 = 31.2 - 6.4^2 = 31.2 - 40.96 = 9.76

Therefore, the variance of y is 9.76, rounded to 2 decimal places.

we take the square root of the variance to find the standard deviation:

σ = √Var(y) = √9.76 = 3.12

Therefore, the standard deviation of y is 3.12, rounded to 2 decimal places.

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____The given question is incomplete, the complete question is given below:

The following table provides a probability distribution for the random variable y 2 4 7 f(u) 0.20 0.30 0.40 0.10 8 a. Compute E(y) (to 1 decimal). 5.2 b. Compute Var(y) and ơ (to 2 decimals). Var(y)

Answer: g(0) = 4

Step-by-step explanation:

Given that, g(x) = 3 + x + ex

g'(x) = 1 + ex > 0

⇒ g(x) is an increasing function.

g(0) = 3 + 0 + e0

g(0) = 3 + 1

g(0) = 4

When g(0) = 4, the inverse of the function g(x) = 3 + x + e^x is g^-1(4) = 0.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain. Originally, functions were the idealization of how a variable quantity depended on another quantity. A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2.

Here,

Given that, g(x) = 3 + x + e^x

g'(x) = 1 + e^x > 0

g(x) is an increasing function.

g(0) = 3 + 0 + e^0

g(0) = 3 + 1

g(0) = 4

g^-1(4) = 0

The inverse of function g(x) = 3 + x + e^x is g^-1(4) = 0 when g(0) = 4.

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Given:

Two different congruency mapping

To find:

a) a rule for the congruence mapping that will move a figure 5 units to the right and 3 units up

b) a rule for congruence mapping that reflects a figure across the y-axis

Answer:

0.850 L

Step-by-step explanation:

Answer:

C) 180

Step-by-step explanation:

I hope this helps

Good luck ;)

The difference between the intercepted arc is 180°

An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.

Circle theorem states that if a tangent and a sectant, two tangent or two sectant meets outside a circle, the measure of the angle formed is half the difference between the intercepted arcs.

A secant and a tangent meet at a 90° angle outside the circle. Hence:

90° = (1/2) * difference between the intercepted arc

Difference between the intercepted arc = 180°

The difference between the intercepted arc is 180°

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Answer:

no triangles

Step-by-step explanation:

The angles of a triangle must add to 180°

The numbers given add to 190

Answer:

D. y= -2x+16

Step-by-step explanation:

the slope = -1÷½ = -2

the equation :

y-0= -2(x-8)

y = -2x+16

we have equation A

3(x+2)=18

Divide both sides by 3

we have

3(x+2)/3=18/3

x+2=6

the answer is the option A

divide both sides by the same non zero constant

Answer:

$36.8

Step-by-step explanation:

Answer:

3. 16.67

4. 25

Step-by-step explanation:

3. x+2÷8=14/6 (similar triangles have corresponding proportional sides)

x+2=(7×8)/3

x=56/3-6/3 (LCM)

x= 50/3

4. 27/72= (-4+4x)/64

3/2= (-1+x)/16

-1+x=24

x=24+1

In statistical analysis, a hypothesis refers to a tentative explanation or prediction that is based on limited evidence and is subject to further investigation and testing. It is a statement that can be either true or false, and is typically formulated in such a way that it can be tested using statistical methods.

The hypothesis is often used to guide the research process, to help identify potential patterns or relationships in the data, and to evaluate the significance of the results.

Overall, the hypothesis plays a critical role in statistical analysis, as it provides a framework for understanding and interpreting data, and helps to ensure that research findings are reliable and valid.

A hypothesis in the context of statistical analysis is a tentative explanation or prediction about the relationship between two or more variables, which is subject to testing and empirical evaluation using statistical methods.

It is a statement that can be either true or false, and it is usually formulated in terms of the expected direction and strength of the relationship between the variables of interest.

The hypothesis is typically derived from existing theory, prior research, or common sense, and it serves as a guide for the collection, analysis, and interpretation of data in a scientific study.

The process of testing a hypothesis involves setting up null and alternative hypotheses, selecting an appropriate statistical test, collecting and analyzing data, and drawing conclusions based on the results of the analysis.

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