John earns $28.50 tutoring for 3 hours. At this rate, how much money will he earn in 8 hours of tutoring? (Use the $ in your answer).

Answer:

n

Step-by-step explanation:

2n - n ← factor out n from each term

= n(2 - 1)

= n × 1

= n

Answer:

x=5

Step-by-step explanation:

     May I have brainiest I'm trying to level up!

                 </3 PureBeauty

Answer:

x=5

Step-by-step explanation:

6x-3 = 3x +12

+3            +3

6x = 3x +15

-3x   -3x

3x = 15

divided both sides by 3 to get your answer

Answer:

Taylor will earn $27.60 after the raise.

Step-by-step explanation:

If you take $24.00 and multiply it by $1.15, your answer should be $27.60. Therefore, this is the answer to your question.

Hopefully this helps, did the best I could!

When there is almost no difference between what is observed and what is expected, the chi-square value will be close to zero.

This indicates that the data fits the expected distribution well and there is no significant deviation from it. However, it is important to note that a chi-square value of zero is not possible, as there will always be some degree of variation between observed and expected values.

In general, the smaller the chi-square value, the closer the fit between the observed and expected data, indicating that the data are consistent with the null hypothesis (i.e., no significant difference between observed and expected frequencies). Conversely, a larger chi-square value indicates a poorer fit between the observed and expected data, suggesting that the null hypothesis should be rejected in favor of an alternative hypothesis.

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The statement that "a surface generated by a closed plane curve rotated about a line that lies in the same plane as the curve but does not intersect" is true.

The surface generated by a closed plane curve rotated about a line that lies in the same plane as the curve but does not intersect it is called a torus. The torus is a three-dimensional surface that can be thought of as a doughnut shape. The curve that generates the torus is called the generator, and the line about which the curve is rotated is called the axis of rotation. The torus has the interesting property that it has a hole in the center, and the distance from any point on the surface to the center of the torus is constant.

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To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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Answer:

34

Step-by-step explanation:

34-34

The slope of the equation is 0.6, which means that for every second, the computer downloads 0.6 megabytes of data, option C is correct.

The linear equation that represents the number of megabytes downloaded per second can be determined by dividing the total amount of data downloaded (3 MB) by the time taken to download it (5 seconds). This gives us the rate of download in megabytes per second (MB/s). Therefore, the equation is:

y = 0.6x

where y represents the number of megabytes downloaded per second and x represents the time taken to download the data. The negative slope values in the other options do not make sense, as the number of megabytes downloaded per second should be a positive value, option C is correct.

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Answer:

Step-by-step explanation:

To factor 4wx + 8w + 9x + 18, we can group the terms as follows:

(4wx + 9x) + (8w + 18)

Then we can factor out the common factor from each group:

x(4w + 9) + 2(4w + 9)

Notice that we now have a common factor of (4w + 9) in both terms, so we can factor it out:

(4w + 9)(x + 2)

Therefore, 4wx + 8w + 9x + 18 factors as (4w + 9)(x + 2).

Answer:

A

Step-by-step explanation:

\(3x^2+5x+2=0\)

\(x=\dfrac{-5\pm \sqrt{5^2-4(2)(3)}}{6}=\dfrac{-5\pm 1}{6}=-\dfrac{2}{3}, -1\)

Therefore, the answer is choice A. Hope this helps!

Using the simplex method, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.

To solve the linear program using the simplex method, we start by converting the problem into standard form with all constraints in the form of inequalities and non-negative variables. The initial tableau for the problem is as follows:

 |   x1  |   x2  |   s1   |   s2   |   b   |

--------------------------------------------

z |  -3   |   6   |   0    |   0    |   0   |

--------------------------------------------

s1|   5   |   7   |   1    |   0    |   35  |

--------------------------------------------

s2|  -1   |   2   |   0    |   1    |   2   |

--------------------------------------------

Next, we perform the simplex iterations to improve the objective function value. After performing the necessary row operations, we arrive at the final tableau:

 |   x1  |   x2  |   s1   |   s2   |   b   |

--------------------------------------------

z |   0   |   1   |  3/2   |  -1/2  |   14  |

--------------------------------------------

s1|   0   |   0   |   4    |   3    |   5   |

--------------------------------------------

s2|   1   |   0   |  -1/2  |   5/2  |   3   |

--------------------------------------------

From the final tableau, we can see that the optimal solution is z = 14, with x1 = 0 and x2 = 5. The decision variable x1 is at its lower bound, indicating that it is non-basic. Therefore, there are no alternative optimal solutions in this case.

In summary, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.

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The constant of variation for the given direct variation is 2.

So, the origin (0, 0) and the supplied line are intersected by it (3, 6)

Slope formula: m = y2 - y1/x2 - x1

Where,

Substitute values as follows:

Therefore, the constant of variation for the given direct variation is 2.

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Correct question:

Determine the constant of variation for the direct variation given.

A. 1/2

B. 1

C. 2

The equation x² + 2x + __ = (__)² should be completed by the following:

D. 1; x + 1.

x² + 2x + 1 = (x + 1)²

In Mathematics and Geometry, the general form of a quadratic function can be modeled and represented by using the following quadratic equation;

y = ax² + bx + c

Where:

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² + 2x + (2/2)² = (2/2)²

x² + 2x + (1)² = (1)²

x² + 2x + 1 = (x + 1)²

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Answer:

so its will be the equal number

Step-by-step explanation:

pls dont get mad if I'm wrong I tried :)

Answer:

200 miles

Step-by-step explanation:

1 3/4 can be turned into a decimal as 1.75

Now let’s create fractions to prepare for cross multiplication

1.75/50=7/x

1.75x=7(50)

1.75x=350

/1.75.  /1.75

x=200

200 miles

hopes this helps please mark brainliest

The appropriate critical value for constructing a confidence interval in this setting is 1.88.

To find the appropriate critical value for constructing a confidence interval at a 94% confidence level, we can use a standard normal distribution table or a calculator.

First, we need to find the value of alpha, which is the significance level, which is equal to 1 - the confidence level. In this case, alpha is equal to 1 - 0.94 = 0.06.

Next, we need to find the critical value z* from the standard normal distribution table or calculator, which corresponds to the area to the right of z* being equal to alpha/2 = 0.03.

Using a standard normal distribution table or calculator, we can find that the critical value z* is approximately 1.88.

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The random variable X shows the absolute difference between the number of spots on a green die and a red die rolled.

The Probability Mass Function (PMF) refers to the probability of each possible outcome, and the sample space is the set of all possible outcomes.

Suppose the red die and the green die, both of which have six sides numbered from 1 to 6.

The random variable X represents the absolute difference between the numbers rolled on the two dice. The values that X can take range from 0 to 5, the absolute difference cannot exceed 5.

To determine the PMF, we need to calculate the probability of each possible outcome. The sample space consists of all the possible combinations of rolls from the two dice, that means 36 in total (6 possibilities for the green die multiplied by 6 possibilities for the red die).

For each value of X, we find the number of combinations that yield that difference. when the green die rolls a 2 and the red die rolls a 4, the absolute difference is 2.

We count all such combinations for each value of X and divide it by the total number of combinations (36) to obtain the probability of each outcome.

The resulting PMF for X will have six entries, corresponding to the probabilities of X taking on the values 0, 1, 2, 3, 4, and 5. These probabilities will sum to 1, as they cover all possible outcomes.

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These are the general formulas for the Taylor polynomials of the given functions centered at the specified values of "a". To obtain specific values, you can substitute the desired values of "x" into the respective polynomial equations.

To find the Taylor polynomials centered at the given value of "a" for the respective functions, we can use the Taylor series expansion. Here are the Taylor polynomials for the given functions:

f(x) = sin(x), centered at a = 0:

The Taylor polynomial of degree n for f(x) = sin(x) centered at a = 0 is given by:

Pn(x) = x - (x^3 / 3!) + (x^5 / 5!) - (x^7 / 7!) + ... + (-1)^n * (x^(2n+1) / (2n+1)!)

f(x) = e^x, centered at a = 0:

The Taylor polynomial of degree n for f(x) = e^x centered at a = 0 is given by:

Pn(x) = 1 + x + (x^2 / 2!) + (x^3 / 3!) + ... + (x^n / n!)

f(x) = ln(x), centered at a = 1:

The Taylor polynomial of degree n for f(x) = ln(x) centered at a = 1 is given by:

Pn(x) = (x - 1) - ((x - 1)^2 / 2) + ((x - 1)^3 / 3) - ... + (-1)^(n-1) * ((x - 1)^n / n)

f(x) = tan(x), centered at a = 0:

The Taylor polynomial of degree n for f(x) = tan(x) centered at a = 0 is given by:

Pn(x) = x + (x^3 / 3) + (2x^5 / 15) + ... + (2^(n-1) * Bn * x^(2n-1) / (2n - 1)!)

where Bn are the Bernoulli numbers.

These are the general formulas for the Taylor polynomials of the given functions centered at the specified values of "a". To obtain specific values, you can substitute the desired values of "x" into the respective polynomial equations.

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Part 1) The value of x is 5

Part 2) The length of line AB is 5 inches

Part 3) The length of BC is 15 inches

Answer:

5

5

15

Step-by-step explanation:

Step-by-step explanation:

the x-axis is Celsius, the y-axis is Fahrenheit.

so, for a) you find 20 on the C axis, and then follow that grid line straight up until you hit line. from there you follow the grid line straight to the left until you hit the F axis, and you count what value is there.

the same for 35.

and you will find 20 C = 68 F.

and 35 C = 95 F.

for b) you do the same but in the opposite direction. you start on the F axis, go right to the line and then down to the C axis and read that value there.

and you will find 50 F = 19 C

and 104 F = 40 C

c) is ready to find. at what F value his the line the F (or y) axis ?

look closely, and you will find it is at F = y = 32.

there you have also the old wisdom 0 C = 32 F.

the freezing point of water is at 0 C (on purpose, that was one of the reasons how and why the Celsius scale was created) and at 32 F (which nobody ever truly understood, why this was defined that way).

d) the gradient or slope of the line is always y/x indicating how many units y changes, when x changes a certain number of units when going from one point to another.

so, we have e.g. the points (0, 32) and (20, 68)

going from the first to the second point x changes 20 units (from 0 to 20), and y changes 36 units (from 32 to 68).

so the slope is 36/20 = 18/10 = 9/5

the general equation for a line is

y = ax + b

a = slope

b = y-intercept value

y is in our case F

x is in our case C

therefore, we have

F = 9/5 × C + 32

In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.

4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.

If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.

In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.

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The Question in English

What does a^2 mean in mathematics

The solution set of the given system of linear equations can be expressed as a line in R^3 vector as r = (6, -2) + x_3(3, -5).

To express the solution set of the given system of linear equations as a line in R^3, we first need to express the solution set as a vector equation. We can do this by expressing the equations in terms of x_3 as follows:

x_1 = 6 + 3x_3,

x_2 = -2 - 5x_3

Therefore, the solution set of the given system of linear equations can be expressed as a line in R^3 as follows:

r = (6, -2) + x_3(3, -5).

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Answer:

4

Step-by-step explanation:

(y1-y2)/(x1-x2) = (2-10)/(1-3) = -8/-2 = 4

To determine the height of a tree, Joe measures the angle of elevation and finds that it is 34 degrees. He is 8 m from the base of the tree. How tall is the tree? Round to the nearest tenth.

Here is the detailed explanation: Let's assume the height of the tree is h.

From the given data, the angle of elevation of the tree from Joe's position is 34 degrees, and the distance of Joe from the base of the tree is 8 meters.

From the given angle, we can say that tan 34 = h / 8m.

Then, we can evaluate the value of h as h = 8 x tan 34.The value of h is: h ≈ 8 x 0.686 = 5.48 meters.

Hence, the height of the tree is 5.48 meters (rounded to the nearest tenth).

Answer: The height of the tree is 5.48 meters (rounded to the nearest tenth).

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The true statement is that the radius is 10

From the question, we have the following parameters that can be used in our computation:

A circle has a diameter of 20

This means that

Diameter = 20

Divide both sides by 2 to determine the radius

So, we have

Radius = 10

This means that the true statement is that the radius is 10

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Answer:

A

Step-by-step explanation:

The best linear approximation to the function f(x) = e^x near x = 0 is L(x) = x + 1.

The given function is f(x) = e^x near x = 0.

To find the best linear approximation, L(x), we use the formula:

L(x) = f(a) + f'(a)(x-a),

where a is the point near which we are approximating.

Let a = 0, so that a is near the point x = 0.

f(a) = f(0) = e^0 = 1

f'(x) = d/dx (e^x) = e^x;

so f'(a) = f'(0) = e^0 = 1

Substituting these values into the formula: L(x) = 1 + 1(x-0) = x + 1

Therefore, the best linear approximation to f(x) = e^x near x = 0 is L(x) = x + 1.

For instance, linear approximation is used to approximate the change in a physical quantity due to a small change in another quantity that affects it.

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Answer:

value one is the solution

Step-by-step explanation:

pls give me brainliest im almost lvled up

Answer:

t ≤ 1

Step-by-step explanation:

can i have brainliest please thx

The tank can hold up to average 90,000 gallons of water, since it is already filled with 54,000 gallons and 60% of that is food.

Volume = πr2h

= 3.14 x (15 feet)2 x 18 feet

= 15,444.4 cubic feet

15,444.4 cubic feet x 7.48 gallons/cubic feet = 115,511.17 gallons

115,511.17 gallons - 54,000 gallons = 61,511.17 gallons

61,511.17 gallons + 54,000 gallons = 115,511.17 gallons

115,511.17 gallons is the total capacity of the tank.

The tank is able to hold up to 90,000 gallons of water, since it already contains 54,000 gallons and 60% of that is food. This means that the tank can still hold up to 36,000 gallons of water, giving it a total capacity of 90,000 gallons. This is possible because the tank is in the shape of a cylinder, which means that the volume of the tank is determined by the formula V = πr2h, where V is the volume, r is the radius, and h is the height. This means that the tank can be adjusted accordingly to increase or decrease the amount of water it can hold. In this case, the tank is able to hold up to 90,000 gallons of water because the capacity of the tank is determined by the size of its radius and height, and can be adjusted accordingly to increase or decrease the amount of water it can hold.

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