What is the value of x in the equation 8 + x = 3? (4 points)

Answer:

helppppppppppppppppppp

The probability that an unprepared student, who can eliminate one possible answer on the first four multiple-choice questions and guess on all six questions, will answer at least four questions correctly on the test.

There are a total of 5 possible answers per question, so the probability of guessing the correct answer for any given question is 1/5. After eliminating one possible answer on the first four questions, the student has a 1/4 chance of guessing the correct answer for each of those questions.

For the remaining two questions, the student has a 1/5 chance of guessing the correct answer for each question. To calculate the probability of the student answering at least four questions correctly, we need to consider all possible outcomes where the student guesses at random.

There are 5^6 total possible outcomes, since there are 5 possible answers for each of the 6 questions. The number of ways the student can answer at least 4 questions correctly can be found by considering the possible combinations of questions that the student answers correctly.

There are 6 possible combinations of 4 questions that the student can answer correctly, and there are 15 possible combinations of 5 questions that the student can answer correctly.

There is only 1 possible combination where the student answers all 6 questions correctly. Therefore, the probability of the student answering at least 4 questions correctly is:

[(6 choose 4)(1/4)^4(3/4)^2] + [(15 choose 5)(1/4)^5(3/4)^1] + (1/5)^2 = 0.0194

So the probability that the student will answer at least four questions correctly is approximately 0.0194, or 97/500, when expressed as a fraction.

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If pipes A and B can fill a storage tank in 8 h and 12 h and pipe A was turned on at noon, and  pipe B was turned on at 1:30 P.M, then the water tank will be full at 5:24 pm

Another type of time- and work-based inquiry is called "pipes and cistern." You could ask questions like how long it takes to fill or empty a tank, how much effort is involved, and other similar inquiries. There are two important points that a candidate should understand about such questions:

An inlet is a conduit that is linked to a tank to allow water to be added to it. This kind of work has been accomplished.

An exit is a conduit that is attached to empty the water from the tank. This shows that the task was done in an unfavourable manner. In the query, it may also be referred to as "leak."

How to solve?

Let t = the "on" time duration of pipe A

(t-1.5) = the "on" time of pipe B

Let the completed job = 1; (a full tank)

3t + 2(t-1.5) = 24(1)

3t + 2t - 3 = 24

5t = 24 + 3

t = 27/5

t = 5.4 hrs, which is 5 hrs + (.4*60) = 5 hrs, 24 min

Therefore, the tank will be full at 5:24 pm

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Answer: The model of the Cape Hatteras Lighthouse is 7 feet tall, as it follows a scale of 8 inches = 30 feet. The actual lighthouse is 210 feet, so to calculate the height of the model, you would divide the actual lighthouse's height by the scale that is used. 210 feet divided by 30 equals 7 feet, which is the height of the model. This is why models are made to a specific scale, as it allows us to calculate the size of the model accurately, without having to measure every single dimension.

Answer:

listing method

Step-by-step explanation:

pls make me brainliest pls

Answer:

B(4,8) C(5,1) D(9,6) E(2,10) F(0,5) G(7,2)

Step-by-step explanation: If it is going left subtract from the first number. If it is going down subtracting from the right number. If it is going right it is adding to the first number if going up adding to the second number

An expression for which subtracting 5 from an expression would isolate the variable is -9x + 5 = x + 2

Algebraic expressions are described as expressions that consists of coefficients, terms, variables, factors and constants.

These expressions are also known to consist of arithmetic operators, which includes;

From the information given, we have to subtract five from an expression to isolate the variable

Now, let's us the algebraic expression;

-9x + 5 = x + 2

Let's subtract 5 from both sides of the equation, we get;

-9x + 5 - 5 = x + 2 - 5

add and subtract the like terms

-9x + x = -3

-8x = -3

x = 3/8

Hence, the expression is -9x + 5 = x + 2

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Answer:

The answer is x=14

Step-by-step explanation:

8=5x-34-2x

8=3x-34

8+34=3x

42=3x

42/3=x

14=x

x=14

Answer: 42=3x divide 3 to 42= 14

Step-by-step explanation: ANSWER IS 14=X

Answer:

kite

Step-by-step explanation:

In Euclidean geometry, a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.

(i) The dual of the given LP problem can be found by following these steps:

1. For each constraint in the primal problem, create a dual variable. In this case, we have three constraints, so we'll have three dual variables: y1, y2, and y3.
2. The objective function of the dual problem will be the sum of the products of the primal variables and their corresponding dual variables. So, the dual objective function is:
  Maximize w = 3y1 + 2y2 + y3.
3. For each primal variable x, create a constraint in the dual problem with the coefficient of the corresponding dual variable equal to the coefficient of x in the primal objective function. So, the dual constraints are:
  y1 + 2y2 - y3 ≤ -2
  y1 + y2 + y3 ≤ -1
  y1, y2, y3 ≥ 0.

(ii) To find the optimal solution to the dual problem, we need to solve the optimal tableau of the dual problem. From the given information, we know that Row 0 of the optimal tableau is:
  w = 4x1 + e2 + (M-1)a2 + (M+2)a3 = 0.
 
  However, the given information does not provide any details about the values of x1, e2, a2, or a3. Therefore, without this information, we cannot determine the specific optimal solution to the dual problem.

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The value of the infinite series as n tends to 0 is: 0

Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

From the infinite series, we want to find the value of the series as n tends to 0.

We are given the series as:

x/2ˣ

At x = 0, we have:

0/2⁰ = 0/1 = 0

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Answer:

20cm

Step-by-step explanation:

4cm=1m

van=5m

4x5=20cm

We have the next information

A submarine Is at a depth of 350 feet below sea level means -350

First, it goes down 150 feet. means -150

Next, it goes up 132 feet. means +132

Then, it goes down 179 feet. means -179

Finally, it goes down 145 feet means -145

then we have the next operations

-350+(-150)+132+(-179)+(-145)=-692

The sing minus means that It is below the sea level

therefore the correct choice is

A It is 692 feet below sea level, because -350 + (-150) + 132 + (-179) + (-145) = -692.

Answer:

slope = - 5

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (2, - 8)

m = \(\frac{-8-2}{2-0}\) = \(\frac{-10}{2}\) = - 5

The value of the gradient is -1/5.

In order to find the gradient of a line either of the two ways can be used. First, the equation of line should be written in terms of y, then the coefficient of x is the gradient.

The other method is to find the two points on the graph and then take the ratio of the difference of corresponding coordinates.

The given points are (0,2) and (2,-8).

Since the gradient of the line segment between points (x₁, y₁) and (x₂, y₂) is given as,

Gradient = (y₂-y₁)/(x₂-x₁)

Substitute the corresponding values to obtain,

Gradient = (2-0)/(-8-2)

               = -2/10

               = -1/5

Hence, the gradient of the line segment joining the points (0,2) and (2,-8) is -1/5.

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The sample proportion is 0.209, and the margin of error (m) for the 99% confidence level is 0.027.

In a poll of 1000 randomly selected voters, 209 voters were against fire department bond measures. To calculate the sample proportion, we divide the number of voters against the measures (209) by the total number of voters in the sample (1000), giving us 0.209 or 20.9%. This indicates that approximately 20.9% of the voters in the sample were against the fire department bond measures.

To determine the margin of error (m) for the 99% confidence level, we need to consider the sample size (n) and the desired confidence level. With a sample size of 1000, we can use the formula for the margin of error:

Here, Z represents the z-score corresponding to the desired confidence level. For a 99% confidence level, the z-score is approximately 2.576. The sample proportion (p) is 0.209, and the sample size (n) is 1000.

Plugging these values into the formula, we get:

Therefore, the margin of error (m) for the 99% confidence level is approximately 0.027 or 2.7%. This means that if the poll were conducted multiple times, we could expect the true proportion of voters against the fire department bond measures in the population to be within 2.7% of the sample proportion, with 99% confidence.

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It will take 12 seconds until Hudson and Knox have run the same number of feet.

Let's denote the time it takes until Hudson and Knox have run the same number of feet as "t" (in seconds).

The distance Hudson runs can be calculated by multiplying his speed (8.8 feet/second) by the time "t". Thus, the distance Hudson covers is 8.8t feet.

Knox, on the other hand, had a head start of 30 feet. So the distance Knox covers can be calculated by multiplying his speed (6.3 feet/second) by the time "t" and adding the head start of 30 feet. Thus, the distance Knox covers is 6.3t + 30 feet.

To find the time when both runners have covered the same distance, we set their distances equal to each other:

8.8t = 6.3t + 30

Simplifying the equation:

2.5t = 30

Dividing both sides by 2.5:

t = 30 / 2.5

t = 12

Therefore, it will take 12 seconds until Hudson and Knox have run the same number of feet.

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Answer:

Amount spend on food:  Rs 29012.16

Amount spend on rent:  Rs 11111.04

Step-by-step explanation:

We know

The salary is  Rs.123456

You saved half of it

123456/2 = Rs 61728

So, you have Rs 61728 remaining

47% on food

47% = 0.47

61728 times 0.47 = Rs 29012.16

So, you spend Rs 29012.16 on food

18% on rent

18% = 0.18

61728 times 0.18 =  Rs 11111.04

So, you spend Rs 11111.04 on rent

So,

Amount spend on food:  Rs 29012.16

Amount spend on rent:  Rs 11111.04

The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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A percentage is a way to describe a part of a whole. The approximate percent decrease in the price is 21.87%, thus, the correct option is B.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the reduction in the price is $7, while the original cost is $32. Therefore, the approximate percent decrease in the price is,

Percentage decrease = 7/32  × 100%

                                     = 21.87%

Hence, the approximate percent decrease in the price is 21.87%, thus, the correct option is B.

The correct question is:

Helen got a $7 reduction in the price of a pair of jeans that are normally $32. What is the approximate percent decrease in the price?

The percent decrease is approximately 15%.

The percent decrease is approximately 21%.

The percent decrease is approximately 43%.

The percent decrease is approximately 78%

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Answer:

Mike would have -438.17, poor mike lol

The statement that predicates \(∀x∀y∃z q(x, y, z)\) is true only for option b, where q(x, y, z) is defined as "xy = z." The correct option is B.

The statement for which \(∀x∀y∃z q(x, y, z)\) is true depends on the predicate q(x, y, z) provided in the options.

a. Let Q(x, y, z) be the statement "(x) = z = x = vz)." In this case,\(∀x∀y∃z\)\(Q(x, y, z)\) is false. It implies that for every x and y, there exists a unique z such that x = z = vz. However, this is not true for all real numbers since the equation implies that every real number is equal to its reciprocal, which is not the case.

b. Let O(x, y, z) be the statement "xy = z." Here, \(∀x∀y∃z O(x, y, z)\) is true. For any two real numbers x and y, we can always find a z such that z = xy. Therefore, the statement holds true for all real numbers.

c. Let Q(x, y, z) be the statement "xyz = x(yz)." In this case, \(∀x∀y∃z Q(x, y, z)\) is false. The equation implies that for all x and y, there exists a z such that the equality holds. However, this is not true for all real numbers, as the equation represents an associative property of multiplication that doesn't hold universally.

d. Let Q(x, y, z) be the statement "x = y = z." In this case, \(∀x∀y∃z Q(x, y, z)\) is false. The equation implies that for every x and y, there exists a unique z such that x = y = z. However, this is not true for all real numbers since not all real numbers are equal.

Therefore, the statement \(∀x∀y∃z q(x, y, z)\) is true only for option b, where q(x, y, z) is defined as "xy = z."

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To determine the annual energy output of the small grid-connected wind turbine, additional information is needed, such as the average wind speed at the location and the power curve of the turbine. Without these details, it is not possible to provide a direct answer.

The annual energy output of a wind turbine depends on various factors, including the wind resource available at the site. The wind speed distribution and the power curve of the specific turbine model are crucial in estimating the energy production.

To calculate the annual energy output, the following steps can be taken:

Without the specific wind speed data and power curve of the wind turbine, it is not possible to calculate the annual energy output accurately. These details are crucial in estimating the energy production of the small grid-connected wind turbine.

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Answer:

a: $228.50

b: 10 months

Step-by-step explanation:

A: x = months, so plug the 6 in 29x

29 (6) + 54.5

|

|

174 + 54.5

|

| add the fee

|

228.5

B: subtract 54.5 from 344.5

344.5 - 54.5

|

|

290

divide 290 by 29

290/29

|

|

10

Check

to check, plug in 10 to the x.

29 (10) + 54.5

|

|

290 + 54.5

|

|

344.5

There  is no maximum value of κ on the curve y=3e^x.

To find the point of maximum curvature on the curve y=3e^x, we need to first find the second derivative of y with respect to x, which will give us the curvature of the curve:

y = 3e^x

y' = 3e^x (since the derivative of e^x is e^x)

y'' = 3e^x (since the second derivative of e^x is also e^x)

Now, to find the point of maximum curvature, we need to set y'' equal to zero and solve for x:

y'' = 3e^x = 0

e^x = 0

This equation has no real solutions, which means that there is no point of maximum curvature on the curve y=3e^x.

To find the maximum curvature, we can use the formula:

κ = |y''| / (1 + y'^2)^(3/2)

Since we know that y'' = 3e^x, we can simplify this formula to:

κ = 3e^x / (1 + (3e^x)^2)^(3/2)

To find the maximum value of κ, we can take the derivative of κ with respect to x and set it equal to zero:

dκ/dx = 3e^x (9e^2x - 2) / (1 + 9e^2x)^(5/2) = 0

This equation has no real solutions, which means that there is no maximum value of κ on the curve y=3e^x.

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Answer:

bottom right rectangle: 5x − y

bottom circle: 6x

Step-by-step explanation:

First, solve for the bottom right rectangle by finding the difference between the top right rectangle and the middle right circle:

(9x + 4y) − (4x + 5y)

= (9x − 4x) + (4y − 5y)

= 5x − y

Next, to find the bottom circle, add the bottom left rectangle with the bottom right rectangle (the one we just solved for):

(x + y) + (5x − y)

= (x + 5x) + (y − y)

= 6x

There are 450 ways a person can order a two-course meal consisting of an appetizer and a main course according to the counting principle.

The fundamental of counting principle defines that if we have to choose one item from a group of M items and a second item from another group of N items, then the total number of two item choices is

                              M*N

Here we have been given that there are 15 appetizers and 30 main courses that is according to the fundamental of counting principle we have been given

M = 15     and N = 30

Thus the total number of two-course meal is = M*N

                                                                                = 15*30

                                                                                = 450

Hence there are 450 ways a person can order a two-course meal consisting of an appetizer and a main course.

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The (2,1) is a solution of the system of equations is shown. A formula that expresses the connection between two expressions on either side of a sign. Typically, it has a single variable and an equal sign.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

2 + 3·1 = 5

5 = 5

1 = -2 +3

1 = 1

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The phrase "inconsistent pair of linear equations" refers to a set of linear equations that cannot be solved.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

What makes an equation linear?

When a linear equation is graphed, it always produces a straight line since each term in the equation has an exponent of 1. This is the basis for the term "linear equation" being used to describe it.

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The values of A and B that make AX + BY = C are 3 and 5 respectively.

The standard form of the equation is 3x +5y = 15

An intercept is the point where the a straight line or curve touches the x or y axis.

If the curve or line touches the x-axis the y-coordinate is zero and if touches the y-axis the x-coordinate is 0.

in the graph, the x-intercept is 5, as an ordered pair you have (5,0)

The y-intercept is 3 as an ordered pair you have (0,3)

The given equation is AX +BY = c, where C = 15

so the equation is AX +BY = 15

when x =5, y = 0

so that

5A = 15

A = 15/5 = 3

When x = 0, y = 3

so that you have,

3B = 15

B = 15/3 = 5

The values of A and B are 3 and 5 respectively.

Substituting A and B into the equation,

It becomes 3X +5Y = 15

In conclusion, the values of A and B are 3 and 5 respectively and the standard form of the equation is 3x + 5y = 15

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