What place value is this
18 thousands x 10 = ?

The optimal point (x, y) can be found by solving the simultaneous equations. The slack for constraint (1) is the difference between the right-hand side and the left-hand side of the inequality, representing the unused capacity in the constraint.

The optimal point (x, y) can be found using the simultaneous equations method. From the given constraints:

2X + 3Y ≤ 240 ...(1)

2X + Y ≤ 120 ...(2)

X, Y ≥ 0

To find the optimal point, we need to solve these two equations simultaneously. By solving equations (1) and (2), we can find the values of X and Y that satisfy both constraints. Once we have the values of X and Y, we can substitute them into the objective function (profit function) to determine the maximum profit.

To find the slack for constraint (1), we need to evaluate the difference between the left-hand side (LHS) and the right-hand side (RHS) of the inequality. In this case, the slack for constraint (1) is calculated as:

Slack for constraint (1) = RHS - LHS = 240 - (2X + 3Y)

The slack represents the amount of unused resources or capacity in the constraint. It tells us how much "slack" or leeway we have in the constraint before it becomes binding. If the slack is positive, it means that the constraint is not fully utilized and there is room for improvement. If the slack is zero, it indicates that the constraint is exactly satisfied. If the slack is negative, it implies that the constraint is violated and adjustments need to be made.

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Answer:

A

Step-by-step explanation:

The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:

This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.

The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.

You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.

There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.

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The translated question is:

How to express this exercise for every 6 squares there are 3 circles.

The equation of the line in slope intercept form is y = 1 / 6 x - 11

The equation of a line can be represented in a slope intercept form as follows:

y = mx + b

where

Therefore, the equation of the line is parallel to y =  1 / 6 x + 7 .

This means the equation of the line have the same slope with  y =  1 / 6 x + 7 .

The equation passes through (12, -9).

Therefore, let's find b

y = 1 /6 x + b

-9 = 1 / 6 (12) + b

b = -9 - 2

b = - 11

Therefore, the equation of the line in slope intercept form is y = 1 / 6 x - 11

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Answer:

10 pounds of bananas for $14.90

Step-by-step explanation:

This is because 14.90 divided by 10 is 1.49. While 12.08 divided by 8 is 1.51. 1.49 is lower then 1.51, so it is better to buy.

Answer:Your  MOM

Step-by-step explanation: LOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOl

Answer:

y=-5x/3+26/3

Step-by-step explanation:

Because we want the equation to look like y=mx+b, rearrange the terms.

Since 26-5x is the same as -5x+26, rewrite it like that.

3y=-5x+26

Now, since we want the value of y, divide by 3 on both sides.

3y/3=y

-5x/3= -5x/3

26/3= 26/3

The simplest form would look like:

y=-5x/3+26/3

In general, an appropriate null hypothesis is one that states there is no significant difference or relationship between two variables.

Therefore, out of the options given, the appropriate null hypothesis would be "selection was not a significant factor."
An appropriate null hypothesis is "Selection has no effect on the observed outcome. "it means that any differences observed in the data are due to chance, and not due to a specific selection process or factor. The null hypothesis serves as a starting point in statistical analysis, and researchers aim to either accept or reject it based on the evidence collected.

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The false statement about the quadratic functions below is: b) The graphs of all these functions have the same axis of symmetry.

a) The graphs of two of these functions can indeed have a minimum point. Quadratic functions can have a minimum or maximum point depending on the coefficient of the leading term.

b) This statement is false. The axis of symmetry of a quadratic function is determined by the coefficient of the quadratic term (x^2). Since the given functions can have different coefficients for the quadratic term, their axes of symmetry can be different.

c) The graphs of two of these functions may not cross the x-axis. This depends on the position of the vertex and the concavity of the parabola. If the vertex is above the x-axis, the graph will not intersect it.

d) The graphs of all these functions can have different y-intercepts. The y-intercept is determined by the constant term in the quadratic function, which can vary for different functions.

Therefore, the false statement is b) The graphs of all these functions have the same axis of symmetry.

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In the first equation, the missing expression should be "1/a." The derivative of a constant multiplied by the natural logarithm of a variable is equal to the constant divided by the variable.

For the second equation, the missing expression should be "e." The derivative of the exponential function e raised to the power of a variable is simply equal to the exponential function itself.

In the third equation, the missing expression should be "1/(x * ln(a))." The derivative of the logarithm function with base "a" of a variable is equal to 1 divided by the variable multiplied by the natural logarithm of the base "a."

In the fourth equation, the missing expression should be "-1/x^2." The derivative of the reciprocal function 1 divided by a variable is equal to -1 divided by the square of the variable.

Lastly, in the fifth equation, the missing expression should be "-2x / (V(1-x^2))^2." The derivative of the reciprocal function 1 divided by the square root of a quantity (1 minus the square of a variable) is equal to -2 times the variable divided by the square of the square root of the quantity.

To summarize, the missing expressions in the given equations are 1/a, e, 1/(x * ln(a)), -1/x^2, and -2x / (V(1-x^2))^2, respectively. These expressions represent the derivatives of the respective functions with respect to their variables.

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Answer:

-86

Step-by-step explanation:

it can loss is weight

Based on the data for a British Ford escort, the way fuel consumption of a car change as its speed increases represents a relationship that is curved with higher at extremes when scatter plot is constructed. It shows fuel efficiency is high at moderate speeds.

A scatter plot is a type of mathematical diagram using Cartesian coordinates to demonstrate values for typically two variables for a set of data. In the given case, the scatter plot shows a relationship between the speeds of a car and fuel consumption. The curved relationship which is high on extreme and low in the middle. As the car speed increases from 10km/h to 60 km/h, the fuel consumption decreases. As the car speed increases from 60km/h to 150khm/h, the fuel consumption increases. Hence, the fuel consumption is lowest at 60km/h and its generally low for moderate speeds – 40 km/hr to 100 km/h. It can be deduced that fuel efficiency (which pertains to how well a vehicle uses fuel) is high for moderate speeds. Hence, at moderate speeds best performance is achieved.

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Answer:

56

Step-by-step explanation:

x/8= 7

Cross multiply

x= 7×8

x= 56

Hence the value of x is 56

Answer:

C. -24

Step-by-step explanation:

Hello!

To solve this we have to follow the order of PEMDAS

Parenthesis, exponents, multiplication and division, addition and subtraction

\(21 + 6^{2} - (35 - 8) * 3\)

Parenthesis first

\(21 + 6^{2} - (27) * 3\)

Exponents next

21 + 36 - 27 * 3

Multiplication and division from left to right

21 + 36 - 81

Addition and subtraction from left to right

57 - 81 = -24

The answer is C.-24

Hope this helps!

Answer:

Step-by-step explanation:

\(21+6^2-\left(35-8\right)\times \:3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(35-8\right)\::\quad 27\\\\=21+6^2-27\times \:3\\\\\mathrm{Calculate\:exponents}\:6^2\::\quad 36\\\\=21+36-27\times \:3\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:27\times \:3\::\quad 81\\\\=21+36-81\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:21+36-81\::\quad -24\\\\=-24\)

Answer:

1.11 is bigger

Step-by-step explanation:

The length of DB, AD and AC are 24 m, 32 m, 42 m respectively. The measurement of ∠C = 67.38°.

What is a right angle triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given that, in △BCD

BD = 24 m

DC = 10 m

BC = 26 m

△BCD is a right angle triangle.

The trigonometry ratio of sine is ratio of height to hypothenuse.

With respect to C, the height of △BCD is 24m and hypothenuse is 26m.

sin C = height/hypothenuse

sin C = 24/26

C = 67.38°

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        For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:  

       The question gives us two points, (-6, -8) and (-3,-7), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m) = (-8 - (-7)) ÷ (-6 - (-3))    

                                          =  -1 ÷  (-3)  

                                          =   ¹/₃  

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                                 ⇒  y - (-7) =   ¹/₃ (x - (-3))  

  we could also transform this into the slope-intercept form ( y = mx + c)

                                   since  y + 7 =   ¹/₃ (x + 3)

                                         ⇒     y + 7 =  ¹/₃ x + 1

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Answer:

The answer is: y=4+3x

Step-by-step explanation:

I know this because I believe we are solving for the system of equations or solving by the system of subtraction.

I will say I am not completely sure this is right but I hope I helped out a little :)

Answer:

x = 46

Step-by-step explanation:

These 2 angles would add up to 180 degrees.

So 41 + (3x+1) = 180

Let's solve for x.

41 + 3x + 1 = 180

Combine like terms.

42 + 3x = 180

subtract 42 from both sides

3x = 180-42

3x = 138

divide both sides by 3

x = 46

Answer:

Slope is 5.

Step-by-step explanation:

y + 3x = 8x -7

y = 5x - 7

coefficient in front of x is the slope/rate of change once you get the equation slope intercept for y = mx + b.  m is the slope.

Answer:

The slope of the graph is 5 / 2

To determine the slope of the graph of \(5x-2y=20\) is equal to: C. \(\frac{5}{2}\)

Given the following equation:

To determine the slope of the graph:

The standard form of an equation of line is given by the formula;

\(y=mx+b\)    ....equation 1.

Where:

\(5x-2y=20\\\\2y = 5x-20\\\\y = \frac{5}{2} x -10\)   ....equation 2

Comparing eqn. 1 and eqn. 2, w have:

Slope, m = \(\frac{5}{2}\)

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The required slope of the linear function is $30, and the y-intercept is $75.

When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.

To find the slope of the linear function, we need to calculate the change in cost divided by the change in time.

Change in cost = $285 - $105 = $180

Change in time = 7 - 1 = 6

Slope = Change in cost / Change in time = $180 / 6 = $30

To find the y-intercept, we can use the point-slope form of a linear equation, y = mx + b, where y is the cost, x is the time, m is the slope, and b is the y-intercept.

Using the point (1, $105), we can substitute x = 1 and y = $105 into the equation and solve for b:

$105 = $30(1) + b

b = $105 - $30 = $75

Therefore, the slope of the linear function is $30, and the y-intercept is $75.

The linear function can be written as: y = $30x + $75, where x is the number of months of membership and y is the cost of the membership.

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The domain of the given function is {x,y:y<-x²/2}. The range of the given function is (0,∞). The level curve of the given function is x² + 2y = e^c. The domain of f(x, y) is the set of all values of x and y for which f(x, y) is defined.

Given function f(x,y) = ln(x² + 2y)

The domain of f(x, y) is the set of all values of x and y for which f(x, y) is defined. ln(x² + 2y) is defined only for x² + 2y > 0

Therefore, x² > -2y Or, y < -x²/2

Therefore, D = {(x, y) | y < -x²/2}

To find the range, let's solve for y

ln(x² + 2y) = k e^k = x² + 2y

2y = e^k - x² y = (e^k - x²)/2

Therefore, the range R = [0,∞)  

Let's find the level curves of the function f(x,y)

For any point (x, y) on the curve, f(x, y) = c where c is a constant. Thus, we have ln(x² + 2y) = cOr, x² + 2y = e^c

For c = 0, we have x² + 2y = 1, which is the level curve passing through the point (0, 1/2)

For c = 1, we have x² + 2y = e, which is the level curve passing through the point (0, (e-1)/2)

In general, x² + 2y = e^c is the level curve. Therefore, the domain of the given function is {x,y:y<-x²/2}.

The range of the given function is (0,∞). The level curve of the given function is x² + 2y = e^c.

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Answer:

122+4x=3x+87

the first step is to move the variable and constants because we can not add variable and constants together we will move 3x and 122 it will be something like this: 3x-4x=122-87 now that the constants and variables have moved we can solve it because we moved them the addition symbol will become a subtraction symbol the answer will be: 1x=35

Step-by-step explanation:

122+4x=3x+87

3x-4x=122-87

1x=35

I hope this helped

Answer:

10/27

Step-by-step explanation:

3^x = 10

We want to find 3^(x-3)

Rewriting

We know that a^(b-c) = a^b * a^ (-c)

3^x * (3^-3)

We know that 3^-3 = 1/3^3

3^x * 1/27

10 * 1/27

10/27

These inequalities establish the conditions for a and b to be positive integers and distinct from each other.

To generate a system of inequalities involving positive integers a and b, we can start with the following assumptions:

a > 0: This ensures that a is a positive integer.

b > 0: This ensures that b is a positive integer.

With these assumptions, we can construct a system of inequalities as follows:

a > 1: This ensures that a is greater than 1, as we want to exclude the case where a equals 1.

b > 1: This ensures that b is greater than 1, as we want to exclude the case where b equals 1.

a ≠ b: This ensures that a and b are not equal to each other, as we want to consider caseswhere they are distinct positive integers.

The resulting system of inequalities is:

a > 1

b > 1

a ≠ b

These inequalities establish the conditions for a and b to be positive integers and distinct from each other.

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Answer:

Joy's multiplication problem is 4 times 23. If she made a mistake in her calculation, she can check her work using an addition expression. Because multiplication is repeated addition, the equivalent addition expression to "4 times 23" would be "23 + 23 + 23 + 23". She could add up these four 23s to check her multiplication.

The correct answer to the multiplication problem "4 times 23" is 92, not 82. Joy can verify this by adding 23 four times:

23 + 23 = 46

46 + 23 = 69

69 + 23 = 92

So, her addition check would also result in 92, confirming that the correct answer to the multiplication problem is indeed 92, not 82.

1   Y is distributed as N(aμ + b, a^2σ^2), as desired.

2  We have shown that under these conditions, E[XY] = E[X]E[Y].

To prove that Y is distributed as N(aμ + b, a^2σ^2), we need to show that the mean and variance of Y match those of a normal distribution with parameters aμ + b and a^2σ^2, respectively.

First, let's find the mean of Y:

E(Y) = E(aX + b) = aE(X) + b = aμ + b

Next, let's find the variance of Y:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σ^2

Therefore, Y is distributed as N(aμ + b, a^2σ^2), as desired.

We can use the definition of covariance to prove that E[XY] = E[X]E[Y]. By the properties of expected value, we know that:

E[XY] = ∫∫ xy f(x,y) dxdy

where f(x,y) is the joint probability density function of X and Y.

Then, we can use the fact that X and Y are independent to simplify the expression:

E[XY] = ∫∫ xy f(x) f(y) dxdy

= ∫ x f(x) dx ∫ y f(y) dy

= E[X]E[Y]

where f(x) and f(y) are the marginal probability density functions of X and Y, respectively.

Therefore, we have shown that under these conditions, E[XY] = E[X]E[Y].

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Answer:

I think that would be A sorry if I'm wrong

Answer:

f(x)= 3|x-3|+1

Step-by-step explanation:

Reason why it's not +3 is because it's the reverse when graphed. But that only applies for the numbers in the brackets. If it's in the brackets and it's positive, you go to the left. If it's negative, then it goes to the right. And as you see, the V isn't on the point (0 , 3), and is in fact, above it, by 1. The graph has also been stretched vertically by 3, it looks like. Hope that was helpful for you!

Answer:

y = 2|x-3| + 1

Step-by-step explanation:

The vertex of g(x) = |x| is at (0,0)

We have moved the vertex to ( 3,1)

y = f(x) + C  C > 0 moves it up

y = |x| + 1 for the shift up 1

y = f(x + C)  C < 0 moves it right

y = |x-3|  for the shift to the right 3

y = Cf(x)  C > 1 stretches it in the y-direction

y = 2|x| since  it is stretched by a factor of 2 in the y direction

Combining

y =2|x-3| + 1

Answer:

133

Step-by-step explanation:

If you need an explanation please tell me.