Find the value of x ​

Answer:

x^2+x

Step-by-step explanation:

Use the distributive property: x*x+x*1=x^2+x

Step-by-Step Solution:

Finding the product means to find what the expression would equal if it was multiplied.

In this equation, we need to multiply x to x, and 1.

x(x) + x(1) = x² + x

If two events are mutually exclusive then they cannot occur at the same time so as P(event 1 and event 2) = 0. Therefore, the correct answer is A: P(A and B)=0 because A and B cannot occur at the same time.

When two events are mutually exclusive, it means that they cannot both occur at the same time. In other words, if one event occurs, the other event cannot occur. Therefore, the probability of both events occurring together is 0. This is why P(A and B)=0 when events A and B are mutually exclusive.

For example, if we have two events A and B, where A is the event of rolling an even number on a die and B is the event of rolling an odd number on a die, these two events are mutually exclusive. It is not possible to roll both an even and an odd number at the same time, so P(A and B)=0.

In conclusion, when two events are mutually exclusive, the probability of both events occurring together is 0 because they cannot both occur at the same time.

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Answer:124

explanation: 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94 97 100 103 106 109 112 115 118 121 124

The curve generated by the set of points not in the domain of the function f(x, y) is a plane curve. It covers the entire xy-plane, and it is not categorized as an ellipse, a line, a parabola, or a hyperbola.

The set of points that are not in the domain of the function f(x, y) = 1 - 3x^2 + y / (1 + x^2 + y^2) forms a plane curve. We need to determine whether this curve is an ellipse, a line, a parabola, or a hyperbola.To analyze the set of points that are not in the domain of the function f(x, y), we need to consider the conditions that would make the denominator of the function equal to zero. The denominator is (1 + x^2 + y^2), so the points where this denominator is zero are not in the domain of the function. Setting the denominator to zero, we have:

1 + x^2 + y^2 = 0

However, this equation has no real solutions since both x^2 and y^2 are non-negative quantities. Therefore, there are no points in the domain of f(x, y) that make the denominator zero. As a result, the set of points not in the domain of the function does not exist. This means that every point in the xy-plane is in the domain of f(x, y), and there is no restriction on the values of x and y. Therefore, the plane curve generated by the set of points not in the domain is the entire xy-plane, which is a plane rather than an ellipse, a line, a parabola, or a hyperbola.

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The conditional statement is true for all integers.

To grasp the assertion "In the event that you square a number, the outcome is a positive whole number," we want to think about two significant ideas: dividing a positive integer by its square.

Squaring an integer entails multiplying an integer by itself. For instance, if we square the number 3 and have it, we get 3 * 3, which is the number 9. In a similar vein, when we square the number -2, we get (-2) * -2, which also equals 4. In this way, squaring a number includes duplicating the number without anyone else.

Let's talk about positive integers now. The whole numbers greater than zero are called positive integers. To put it another way, the numbers 1, 2, 3, 4, and so on are called positive integers.

Let's look at the conditional statement now: A positive integer is the result of squaring an integer.

We must demonstrate that every time we square an integer, the result is always a positive integer in order to support this assertion.

When we square any integer, let's call it n, we get n * n. There are three possible outcomes:

n * n will also be positive if n is positive. For instance, in the event that n = 5, n * n = 5 * 5 = 25, which is positive.

On the off chance that n is negative, n * n will likewise be positive. For instance, if n is equal to 3, then the positive value of n * n is 9. For this situation, figuring out the negative number eliminates the negative sign, bringing about a positive worth.

n * n will be zero if n is zero. Zero is regarded as a non-negative integer even though it is not a positive number. Therefore, the statement holds true even in this instance.

According to the definition of positive integers, the outcome of squaring an integer is either positive or non-negative (including zero) in all three cases.

Therefore, we are able to draw the conclusion that the conditional statement "If you square an integer, then the result is a positive integer" holds true for all integers on the basis of the reasoning and examples that have been provided.

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The dimensions of the container that will minimize the cost are a square base of 12.6 cm on each side and a height of 15.8 cm, with a total cost of $45.01.

Let x be the length of one side of the square base, and let h be the height of the container. Then the volume of the container is given by V = x^2h = 2000, which implies h = 2000/x^2.

Let T be the total cost of making the container. Then the cost of making the bottom and top is twice the cost of making the sides, which means the cost of making one square centimeter of the bottom or top is twice the cost of making one square centimeter of the sides. Let c be the cost of making one square centimeter of the sides. Then the cost of making one square centimeter of the top or bottom is 2c.

The total cost of making the container is given by:

T = 2c(2x^2) + 4c(xh)

= 4cx^2 + 8cxh

= 4cx^2 + 8cx(2000/x^2)

= 4cx^2 + 16000c/x

To find the dimensions of the container that will minimize the cost, we need to find the value of x that minimizes T. To do this, we take the derivative of T with respect to x and set it equal to zero:

dT/dx = 8cx - 16000c/x^2 = 0

Solving for x, we get:

x = (2000/c)^(1/3)

Substituting this value of x into the expression for h, we get:

h = 2000/x^2 = 2000/(2000/c)^(2/3) = c^(2/3)/2

Therefore, the dimensions of the container that will minimize the cost are:

x = (2000/c)^(1/3) cm (length of one side of the square base)

h = c^(2/3)/2 cm (height of the container)

Substituting x into the expression for the volume, we get:

x^2h = x^2(c^(2/3)/2) = 2000

Solving for c, we get:

c = (4000/x^2)^(3/2)

Substituting the value of x, we get:

c = (4000/((2000/c)^(2/3)))^(3/2) ≈ 2.67 cents/cm^2

Therefore, the dimensions of the container that will minimize the cost are approximately:

x ≈ 10.6 cm (length of one side of the square base)

h ≈ 3.36 cm (height of the container)

And the cost of making the container is approximately:

T ≈ $5.95.

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Answer:

f-1(x) is just the opposite of f(x) therefore -x(x-2) =f-1(x)

Step-by-step explanation:

Given data:

The given equations are x - 2y = -1 and 2x + 3y = 12.

The given point of intersection is the solution of the equation which is (3, 2).

Thus, the solution of the given equations is (3, 2).

Answer:

(5, -5)

Step-by-step explanation:

when you move up or down you only change the y axis

The flux of the vector field F = xi + yi through the cylindrical surface oriented away from the z-axis is zero.

In this case, the cylindrical surface is described by the equation 0 < z < 7. We can parameterize the surface using cylindrical coordinates as:

r(θ, z) = (r cos(θ), r sin(θ), z)

where r is the radius of the circular cross-section of the cylinder, and θ is the angle around the z-axis.

To compute the flux, we need to calculate the vector differential area element, dS. For a cylindrical surface, the vector differential area element can be written as:

dS = r dθ dz n

where r is the radius of the cylindrical surface, dθ is an infinitesimal angle element, dz is an infinitesimal height element, and n is the unit normal vector to the surface at each point.

Since the surface is oriented away from the z-axis, the unit normal vector is given by:

n = (cos(θ), sin(θ), 0)

Substituting the expression for dS and n into the surface integral formula, we have:

Flux = ∫∫S F · dS

= ∫∫S (xi + yi) · (r dθ dz n)

= ∫∫S (x cos(θ) + y sin(θ)) r dθ dz

Thus, the limits of integration for θ are 0 to 2π, and for z are 0 to 7.

Substituting the expression for F and the limits of integration into the surface integral, we have:

Flux = ∫ ∫0²π (rcos(θ) + rsin(θ)) r dθ dz

Evaluating the inner integral with respect to θ, we get:

Flux = ∫ [r²/2 sin(θ) - r²/2 cos(θ)] |0²π dz

Simplifying the expression, we have:

Flux = ∫ [0] dz

= 0

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Answer:\(-3x\sqrt{7}\)

Step-by-step explanation:

Don't have much of one, but just took test

Answer:

√9a2+16a2 = √25a2 = 5a

Step-by-step explanation:

Step-by-step explanation:solution given:

√(9a²=9a is your answer

This month's forecast using exponential smoothing with alpha = 0.2, if August's forecast was 145 is  148..

The exponential window function is a general method for smoothing time series data known as exponential smoothing. In contrast to the ordinary moving average, which weights previous data equally, exponential functions use weights that decrease exponentially with time.

The exponential smoothing with an alpha of .2 can be expressed as

F(t) = α*D(t) + (1-α)*F(t-1)

α = 0.2

F(t) = forecast for this month (October)

D(t) = actual demand for the last month (September) = 160

F(t-1) = forecast for last month (August) = 145

Then this can be expressed as ;

0.2*160 + (1-0.2)*145

= 32 + 116

= 148

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complete question;

The owner of Darkest Tans Unlimited in a local mall is forecasting this month's (October's) demand for the one new tanning booth based on the following historical data: col1 Month April May June July August September col2 Number of Visits 100 140 110 150 120 160 What is this month's forecast using exponential smoothing with alpha =. 2, if August's forecast was 145? a. 163b. 142 c. 148 d. 140 e. 144

6n

the coefficient is the term that is a number with a variable. So, in this case, it's 6n because it has a number 6 and a variable n.

The weight of the largest piece of pie is 250 gram.

Let the weights of others be illustrated as x.

Therefore, the weight of the largest weight is the addition of the others weight. This will be:

= x + x + x = 3x

Therefore, the weights will be:

3x + x + x + x = 500

6x = 500.

Divide

x = 500 / 6

x = 83.33.

The larger weight will be:

= 3x

= 3 × 83.33

= 250

The pie weights 250g.

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Two samples can have the same mean but different standard deviations if one sample has more variability than the other. For example, one sample may have data points that are tightly clustered around the mean, while the other sample may have data points that are more spread out.

This can result in the same mean value for both samples, but different levels of variability.

Here's an example bar graph to illustrate this concept:

     Sample 1                Sample 2

 ╭────────────────╮   ╭────────────────╮

 │      Mean      │   │      Mean      │

 ├────────────────┤   ├────────────────┤

 │                │   │    ╭─╮         │

 │                │   │    │ │         │

 │                │   │    │ │         │

 │                │   │    ╰─╯         │

 │     o o o      │   │  o o o o o o  │

 │                │   │                │

 │                │   │                │

 │                │   │                │

 ╰────────────────╯   ╰────────────────╯

     Std. Dev.            Std. Dev.

In this example, both Sample 1 and Sample 2 have a mean value of 5. However, Sample 1 has lower variability with a standard deviation of 1, while Sample 2 has higher variability with a standard deviation of 3. The error bars on the graph represent the standard deviation for each sample.

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-3x=4y+8 is a continuous and linear equation and it can be written as y=-3/4x-2

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The given equation is -3x=4y+8

This equation can written in y=mx+b form

-3x=4y+8

Add 3x on both sides

0=4y+3x+8

Subtract 4y on both sides

-4y=3x+8

Multiply with minus

4y=-3x-8

y=-3/4x-2

The line is continuous and linear

Hence, -3x=4y+8 is a continuous and linear equation and it can be written as y=-3/4x-2

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a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

a) Rachel's budget line equation can be written as follows:

Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)

Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:

Budget = 3x + 2y

Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.

b) If the price of figs increases to $3, the new budget line equation becomes:

Budget = 3x + 3y

The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.

c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:

Budget = (3x + 3y) + 10

The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.

d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:

Budget = (3x + 3y) + 10

However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.

In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

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The given equation has a solution of x = 6.26

We know that an equation is a mathematical expression that expresses the equality of two expressions, by connecting them with the equals sign '='. It often contains algebra, which is used in maths when you do not know the exact number in a calculation

The given equation is ∛(x-5)  -2 = 0

The root sign covers only x and 5

This implies that x - 5 - 2¹/³ 0 0

x - 5 - 1.26

x-6.26

x= 6.26

Therefore the equation has real root.

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Answer:

m=76

Step-by-step explanation:

The given logarithmic function, y = 150(0.073)^t, can be rewritten in the form y = ae^kt. By analyzing the equation, we can determine the values of a and k, which represent the initial amount and the rate of growth, respectively.

In the given logarithmic function, y = 150(0.073)^t, the base 0.073 represents the decay factor, as it is less than 1. To convert this equation into the form y = ae^kt, we need to rewrite it in exponential form.

First, let's rewrite the equation as y = 150e^(kt). To find the values of a and k, we compare this equation with the original one.

We can see that a = 150, which represents the initial amount or value when t = 0. The value of k can be determined by taking the natural logarithm of the decay factor (0.073). Therefore, k = ln(0.073).

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12

Step-by-step explanation:

n + (2/3)n = 2n - 4

(5/3)n = 2n - 4

(5/3)n - 2n = -4

(-1/3)n = -4

n = 12

Answer:

sorry dear but I don't understand your question

The probability that the next chew Bella removes from the bag will be a lemon chew is 3%.

Probability is a measure of the likelihood or chance of a particular event occurring. It is expressed as a number between 0 and 1, where 0 indicates an impossible event and 1 indicates a certain event.

given:

A pineapple chew was selected 53 times.

A lemon chew was selected 2 times.

A watermelon chew was selected 3 times.

The probability of selecting a lemon chew in the next experiment can be calculated by dividing the number of times a lemon chew was selected by the total number of experiments:

P(lemon chew) = 2/58

Converting this to a percentage:

P(lemon chew) = 3.45%

Rounding to the nearest whole number, the probability that the next chew Bella removes from the bag will be a lemon chew is 3%.

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The side length x of the right angle triangle is 25 units.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The sides of a right triangle can be found using Pythagoras's theorem. Let's use Pythagoras's theorem to find the side x.

Hence,

c² = a² + b²

where

Therefore,

a = 24 units

b = 7 units

Hence,

24² + 7² = x²

576 + 49 = x²

625 = x²

square root both sides of the equation

x = √625

x = 25 units

Therefore,

x = 25 units

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Answer:

$8.50

Step-by-step explanation:

Multiply the cost by the amount of candy she bought, your equation will look like this:

2(0.75) + 3(1) + 5(1.40)

Multiplying everything makes the equation into:

1.5 + 3 + 7

Adding everything makes the total cost 11.50.

Subtract 11.50 from 20, and the answer is 8.50

a) The point estimate is 3 thousand dollars.

b) The 9% confidence interval for the difference between the two population means is -1.829 to 7.829 thousand dollars.

The point estimate is given by the mean of the sample data for each type of project. For the first type of project, the mean is (3.3 + 2.7 + 3.5)/3 = 3.17 thousand dollars.

For the second type of project, the mean is (4.3 + 4.6 + 4.2)/3 = 4.37 thousand dollars.

The difference between the means is 4.37 - 3.17 = 1.2 thousand dollars.

To calculate the confidence interval, we need to find the standard error of the difference and the critical value for a t-distribution with n1 + n2 - 2 degrees of freedom. The formula for the standard error is:

SE(d) = sqrt[ (s1^2 / n1) + (s2^2 / n2) ] = sqrt[ ((0.4)^2 / 3) + ((0.2)^2 / 3) ] = 0.282

The critical value for a 9% two-tailed t-test with 4 degrees of freedom is 2.306 (from a t-table or using Excel's TINV function).The margin of error for the 9% confidence interval is:

ME = t(0.09/2, 4) * SE(d) = 2.306 * 0.282 = 0.649

The 9% confidence interval for the difference between the population means is:

d ± ME = 1.2 ± 0.649 = (0.551, 1.849)

Therefore, the 9% confidence interval for the difference between the two population means is -1.829 to 7.829 thousand dollars (rounded to three decimal places).

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Answer: Therefore, the truck is 240 inches long.

Step-by-step explanation:

truck = 150 + 60% of 150

        = 150 + 60/100 * 150

        = 150+90

        = 240 inches