X - Зу = -2
X - Зу = 16

The value for the expression 6 + 9w - 5s is 59.

You must substitute a number for each variable and carry out the arithmetic procedures to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the case above equals 6. If we are aware of the values of our variables, we can replace the variables with those values before evaluating the expression.

When the variables and constants of an expression are given values, the outcome of the computation it describes yields the expression's value. The quantity that the function assumes for these argument values is the value of the function, given the value(s) assigned to its argument(s).

The expression 6 + 9w - 5s when w = 7 and s = 2.

                          6 +(9*7 - 5*2) = 6+63 - 10 = 59.

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The probability that a particular book is free from misprints is 0.2231. option D is correct.

The average number of misprints per page (λ) is given as 1.5.

The probability of having no misprints (k = 0) can be calculated using the Poisson probability mass function:

\(P(X = 0) = (e^{-\lambda}\times \lambda^k) / k!\)

Substituting the values:

P(X = 0) = \((e^{-1.5} \times 1.5^0) / 0!\)

Since 0! (zero factorial) is equal to 1, we have:

P(X = 0) = \(e^{-1.5}\)

Calculating this value, we find:

P(X = 0) = 0.2231

Therefore, the probability that a particular book is free from misprints is approximately 0.2231.

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Question 13: The average number of misprints per page of a book is 1.5.Assuming the distribution of number of misprints to be Poisson. The probability that a particular book is free from misprints,is B. 0.435 D. 0.2231 A. 0.329 C. 0.549​

Answer : by reversing the order of integration, we obtained the integral ∫[3 to 4] 2/3 * 64^(3/2) * e^(x^4) dx. However, this integral cannot be evaluated analytically.

To reverse the order of integration, we need to rewrite the given integral by interchanging the order of integration and the limits of integration.

The original integral is:

∫[0 to 64] ∫[3 to 4] √y * 3e^(x^4) dx dy

Let's reverse the order of integration:

∫[3 to 4] ∫[0 to 64] √y * 3e^(x^4) dy dx

Now, we can evaluate the integral by integrating with respect to y first and then integrating with respect to x.

∫[3 to 4] ∫[0 to 64] √y * 3e^(x^4) dy dx

Integrating with respect to y:

∫[3 to 4] [∫[0 to 64] √y * 3e^(x^4) dy] dx

The inner integral becomes:

∫[0 to 64] √y * 3e^(x^4) dy = 2/3 * (y^(3/2)) * e^(x^4) | [0 to 64]

                            = 2/3 * (64^(3/2)) * e^(x^4) - 2/3 * (0^(3/2)) * e^(x^4)

                            = 2/3 * 64^(3/2) * e^(x^4)

Substituting this result back into the outer integral:

∫[3 to 4] 2/3 * 64^(3/2) * e^(x^4) dx

Now, we can evaluate the integral with respect to x:

2/3 * 64^(3/2) * ∫[3 to 4] e^(x^4) dx

Unfortunately, the integral with respect to x in this form does not have a standard closed-form solution. Therefore, we cannot evaluate it analytically.

In summary, by reversing the order of integration, we obtained the integral ∫[3 to 4] 2/3 * 64^(3/2) * e^(x^4) dx. However, this integral cannot be evaluated analytically.

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Answer:

$15

Step-by-step explanation:

Answer:

The confidence interval is (657.18, 661.02)

or , CI = 659.1 ± 1.922

Step-by-step explanation:

We have to ind the 95% confidence interval,

Mean = Y = 659.1

Standard Deviation = s(Y) = 19.9

Confidence level = 95%

Alpha value = (1 - 0.95)/2

Alpha value = 0.025

So,

This gives a z value of,

z = - 1.96

Now, there are 412 districts so, n = 412

so,

The upper limit is,

Upper limit =  UL = Y + z(s(Y))/sqrt(n)

\(UL = Upper limit = Y + z(s(Y))/\sqrt{n}\\UL = 659.1 + (1.96)(19.9)/|sqrt(412)\\UL = 661.02\)

Lower limit is,

LL = Y - z(s(Y))/sqrt(n)

\(LL = 659.1 - (1.96)(19.9)/\sqrt{412}\\LL = 657.18\)

Hence the confidence interval is (657.18, 661.02)

The point (-2,2), we need to evaluate each case

In this case, for the real part we need to obtain -2

For the imaginary part, we need to obtain 2

As we can see the complex number that is shown in the graph is

ANSWER

A.

The answer is the second image from left to right (B). Examples of direct and inverse variations are showed in the image below. :)

The last option is the answer

X =3

Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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LCM  of 17, 23, 29   = 11339

HCF of 17, 23, 29     = 1

How to find LCM and HCF by prime factorization?

The numbers 17, 23, 29 are prime  numbers themselves.

By prime factorization we consider only the prime factors.

LCM of 17, 23, 29  = 17 ×23 ×29  (Since the numbers are prime)

                             =11339

HCF of 17, 23, 29 = 1    (Since the  common factor is 1)

What is prime factorization?

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Answer:

(-2,5)

Step-by-step explanation:

They both negate, or change to opposites. Hope this helps.

Answer:

C

Step-by-step explanation:

Look at the graph when y=5. It is a straight line that goes through 0,5 horizontally.

it crosses the y-axis at (0,5) only.

Answer:

Function A has a rate of change of 5. Function B has a rate of change of -4.5. so, function A has a greater rate of change

Step-by-step explanation:

When we talk of rate of change of linear equations, we are referring to the slope

For the first function, we can use the equation of the slope

m = y2-y1/x2-x1

We select any two points

m = (25-15)/5.5-3.5 = 10/2 = 5

The general equation of a straight line is;

y = mx + c

where m is the slope

in the case of the second equation, -4.5 is the slope

So we fill in the result as follows;

Function A has a rate of change of 5. Function B has a rate of change of -4.5. so, function A has a greater rate of change

Answer:

$9 per hour

9(x)

x = no. of hours

Answer:

10

Step-by-step explanation:

if

  a= base 1 (1.5)

  b= base 2 (3.5)

  h= height (4)

\(A=\frac{a+b}{2}h=\frac{1.5+3.5}{2} 4\)

2t + 3s = 175 is the standard linear equation.

What are linear equations?

Equations of the first order are linear equations. Lines in the coordinate system are determined by linear equations. It is referred to be a linear equation in one variable when the equation only contains one homogeneous variable of degree 1. There might be more than one variable in a linear equation. Linear equations in two variables, for example, are those that have two variables in them.

Let the number of t-shirts = x = t

and the number of sweatshirts = y = s

Each t-shirt weighed 1/2 of a pound and the sweatshirt weighed 3/4 of a pound.

Total weight of t-shirt =  \(\frac{1}{2}x\) pounds

Total weight of sweatshirt = \(\frac{3}{4} y\)  pounds

Now, the total weight of the items in the box = \(43\frac{3}{4}\) pounds

∴ The total weight of the items =  \(\frac{1}{2}x+\frac{3}{4} y\)

=> \(\frac{1}{2}x+\frac{3}{4} y=43\frac{3}{4}=\frac{4.13+3}{4}=\frac{175}{4}\)

Simplifying, we get,

2x + 3y = 175 or

2t + 3s = 175

Therefore, the equation written in standard form represents the number of t-shirts, t, and the number of sweatshirts, s, that were ordered is 2t + 3s = 175.

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The standard linear equation that represents the number of t-shirts 't' and the number of sweatshirts 's', that were ordered is 2t + 3s = 175.

The given data about the orders of shirts and sweatshirts by a 10th-grade class officer is as follows:

The number of t-shirts ordered by them = t

The number of sweatshirts ordered by them = s

The weight of the t-shirts = 1/2 t pounds

The weight of the sweatshirts = 3/4 s pounds

But it is given that, the total weight of the contents of the box = 43 3/4

I.e., 1/2 t + 3/4 s = 43 3/4

On simplifying, we get

(2t + 3s)/4 = 175/4

⇒ 2t + 3s = 175

Thus, the required linear equation is 2t + 3s = 175.

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Approximately 109 grams of protein would be consumed on a 2500 kcal daily diet, with 35% of the calories coming from proteins.

Protein intake is an important aspect of a healthy diet, as it plays a vital role in various bodily functions. To calculate the grams of protein consumed, we start by determining the total calorie intake and then find the proportion of calories that come from proteins. In this case, the daily diet consists of 2500 kcal. To find the protein calories, we multiply this by the percentage of calories from proteins, which is 35%. This gives us 0.35 * 2500 = 875 kcal from proteins.

Next, we need to convert these calories into grams of protein. Each gram of protein provides approximately 4 calories. Therefore, we divide the protein calories (875 kcal) by 4 to get the grams of protein consumed, which is 875 / 4 ≈ 218.75 grams. Rounding this to the nearest gram, the individual would consume approximately 219 grams of protein on a 2500 kcal daily diet with 35% of the calories coming from proteins.

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Answer:

subtraction property of equality

\(12 \times 12 = 144\)

Hope I work my brain.

Answer:

Step-by-step explanation:

12 * 12 =

There are 12 sets of 12, then you add it all

12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 =

24 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 =

36 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 =

48 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 =

60 + 12 + 12 + 12 + 12 + 12 + 12 + 12 =

72 + 12 + 12 + 12 + 12 + 12 + 12 =

84 + 12 + 12 + 12 + 12 + 12 =

96 + 12 + 12 + 12 + 12 =

108 + 12 + 12 + 12 =

120 + 12 + 12 =

132 + 12 =

#IndonesianPride - kexcvi

Answer:hol up

Step-by-step explanation:

To sketch the region in the plane consisting of points whose polar coordinates satisfy the conditions \(1 < r \leq 2\) and \(\frac{3}{4} \leq \theta \leq \frac{5}{4}\), we can visualize the region as follows:

1. Start by drawing a circle with radius 1. This represents the condition \(r > 1\).

2. Inside the circle, draw another circle with radius 2. This represents the condition \(r \leq 2\).

3. Now, mark the angle \(\theta = \frac{3}{4}\) on the circle with radius 1, and mark the angle \(\theta = \frac{5}{4}\) on the circle with radius 2.

4. Shade the region between the two angles \(\frac{3}{4}\) and \(\frac{5}{4}\) on both circles.

The resulting sketch should show a shaded annular region between the two circles, with angles \(\frac{3}{4}\) and \(\frac{5}{4}\) marked on the respective circles. This annular region represents the set of points whose polar coordinates satisfy the given conditions.

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Answer:

\( \boxed{ \bold{ { \boxed{ \sf{2 {c}^{4} + 3 {c}^{3} - {13c}^{2} - 18c + 6}}}}}\)

Step-by-step explanation:

\( \sf{( {c}^{2} - 6)(2 {c}^{2} + 3c - 1)}\)

Use distributive property

\({ \sf{ {c}^{2} (2 {c}^{2} + 3c - 1) - 6(2 {c}^{2} + 3c - 1)}}\)

\( \sf{2 {c}^{4} + 3 {c}^{3} - {c}^{2} - 12 {c}^{2} - 18c + 6}\)

Collect like terms

\( \sf{2 {c}^{4} + 3 {c}^{3} - 13 {c}^{2} - 18c + 6} \)

Hope I helped!

Best regards! :D

The linear correlation coefficient unknown population is denoted by the statistic r and correlation strength is denoted by the parameter p, respectively.

As a result, correlations are generally portrayed by the two integers r and p. A number of +1 denotes a fully linearly positive correlation, while a number of -1 denotes a fully linearly negative connection. The correlation coefficient has a range of -1 to +1. The linear correlation becomes weaker as r approaches closer to zero.

The sample correlation coefficient evaluates the scatter plot points and a linear regression line constructed from those points (r). The correlation coefficient, denoted as r, ranges in value from -1 to 1. A p-value is a measure of statistical significance.

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The maximum value of the objective function is 4 at the vertex (4, 0), and the minimum value is -8 at the vertex (0, -4). The optimal solutions for the given LP problem are Maximum: p = 4 at x = 4 and y = 0 and Minimum: p = -8 at x = 0 and y = -4.

Maximize and minimize p = x + 2y

subject to:

x + y ≥ 4

x + y ≤ 10

x - y ≤ 4

x - y ≥ -4

First, let's graph the feasible region defined by the given constraints:

Plotting the lines:

x + y = 4 (solid line)

x + y = 10 (solid line)

x - y = 4 (solid line)

x - y = -4 (solid line)

The feasible region is the area that satisfies all the constraints and is bounded by the lines on the graph.

Upon examining the feasible region, we can observe that it is a bounded region.

To find the optimal solution, we need to evaluate the objective function p = x + 2y at the vertices (corner points) of the feasible region.

Now, let's find the vertices of the feasible region by solving the intersection points of the lines:

1. Intersection of x + y = 4 and x + y = 10:

Subtracting the equations, we get 0 = 6, which is not possible. No intersection point exists for these lines.

2. Intersection of x + y = 4 and x - y = 4:

Adding the equations, we get 2x = 8, x = 4. Substituting x = 4 into x + y = 4, we get 4 + y = 4, y = 0. The first vertex is (4, 0).

3. Intersection of x - y = 4 and x - y = -4:

Adding the equations, we get 2x = 0, x = 0. Substituting x = 0 into x - y = 4, we get -y = 4, y = -4. The second vertex is (0, -4).

Now, we evaluate the objective function at each vertex:

p(4, 0) = 4 + 2(0) = 4

p(0, -4) = 0 + 2(-4) = -8

The maximum value of the objective function is 4 at the vertex (4, 0), and the minimum value is -8 at the vertex (0, -4).

Therefore, the optimal solutions for the given LP problem are Maximum: p = 4 at x = 4 and y = 0 and Minimum: p = -8 at x = 0 and y = -4.

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Answer:

a=28

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

a−6=22

Step 2: Add 6 to both sides.

a−6+6=22+6

a=28

Answer:

Step-by-step explanation:

y=10

Each box you fill in will be signified by the question number:

2) Multiplication of Equality:

When there is a equal sign (equation), what you do to one side, you must do to the other. In simplifying (\(\frac{x-2}{4}\)), you must first multiply 4 to both sides of the equation:

3) \(x - 2 = 8\)

\(4(\frac{x-2}{4}) = 4 * 2\\ x - 2 = 8\)

You are simply simplifying and so all you have to do is solve.

4) Addition Property of Equality:

You are adding 2 to both sides of the equation to isolate the variable, x.

\(x - 2 = 8\\x - 2 (+2) = 8 (+2)\\x = 8 + 2\)

5) x = 10 ; Simplifying:

You are simplifying by making the equation as short as possible. In this case, you will add 8 and 2 together:

\(x = 8 + 2\\x = 10\)

~

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The simplified expression for f(w)-f(x)/w-x is w + x + 3.

1. To simplify f(x+h)-f(x)/h, we need to use the formula for the difference quotient:

f(x+h)-f(x)/h = [(x+h)^2 + 3(x+h)] - (x^2 + 3x) / h
= [(x^2 + 2xh + h^2) + 3x + 3h] - (x^2 + 3x) / h
= (x^2 + 2xh + h^2 + 3x + 3h - x^2 - 3x) / h
= (2xh + h^2 + 3h) / h
= 2x + h + 3

Therefore, the simplified expression for f(x+h)-f(x)/h is 2x + h + 3.

2. To simplify f(w)-f(x)/w-x, we again use the difference quotient formula:

f(w)-f(x)/w-x = [(w^2 + 3w) - (x^2 + 3x)] / (w - x)
= [(w^2 - x^2) + 3(w - x)] / (w - x)
= [(w - x)(w + x) + 3(w - x)] / (w - x)
= (w + x + 3)

The simplified expression for f(w)-f(x)/w-x is w + x + 3.

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