How many nonnegative integer solutions are there to the equation x1+x2+x3+x4+x5+x6 = 29, where

(a) xi > 1 for all i?

(b) x1 ≥ 1, x2 ≥ 2, x3 ≥ 3, x4 ≥ 4, x5 ≥ 5, and x6 ≥ 6?

(c) x1 ≤ 5?

Answer:

B ⊂ A

Step-by-step explanation:

We know that:

A {x|x is a polygon}

So set A is the set of all polygons.

B {x|x is a triangle}

Set B is the set of all triangles.

First, a polygon is a plane geometrical figure made of a finite sequence of straight segments.

For example, a triangle is a polygon, a rectangle is a polygon, etc.

Then, all triangles are polygons, but not all polygons are triangles.

So we can conclude that the whole set B is included in the set A.

Then the correct notation would be:

B ⊂ A

Answer:

B ⊂ A

Step-by-step explanation:

The ​x-coordinate of point R′ after dilation is 3

The given parameters are:

R(2,−1),S(3,3), and T(4,6).

The scale factor of dilation is given as

Scale factor = 1.5

Mathematically, this transformation can be represented as

(x, y) = 1.5(x, y)

When represented as a function, we have

Image = 1.5 * Point

For point R, we have

R = (2, -1)

Substitute the equation Point =  (2, -1) in the equation Image = 1.5 * Point

So, we have the following equation

R' = 1.5 * (2, -1)

Evaluate the product

R' = (3, -1.5)

Remove the y-coordinate

R'x = 3

Hence, the image of the x cooridnates is 3

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Answer:

119,318

Step-by-step explanation:

Answer:

The answer is 47

Step-by-step explanation:

Subtract 73 from 26.

Answer:

I would say 180 subtracted by 81 would equal

Value of D= 99

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

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You can produce four more complete Jacket (S) than complete Jacket (L) in an eight-hour shift.

As a manufacturer, you are trying to find out how many more complete Jacket (S) than complete Jacket (L) can be made in an eight-hour shift. This is a simple mathematical problem that can be solved by finding the difference between the number of Jacket (S) and Jacket (L) that can be produced in a given time frame.

Let's assume that it takes one hour to make one complete Jacket (S) and two hours to make one complete Jacket (L).

In an eight-hour shift, the number of complete Jacket (S) that can be produced is 8 hours divided by 1 hour per Jacket (S) = 8 Jackets (S).

Meanwhile, the number of complete Jacket (L) that can be produced is 8 hours divided by 2 hours per Jacket (L) = 4 Jackets (L).

Therefore, the number of more complete Jacket (S) than complete Jacket (L) that can be made in an eight-hour shift is

=> 8 Jackets (S) - 4 Jackets (L) = 4 Jackets (S).

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Answer:

write it in English so I can understand

Answer:

The number that should be added to complete the square is 2.

The resulting perfect square trinomial is (x + 2)^2.

The factored form of the resulting perfect square trinomial is x^2 + 4x + 4.

Step-by-step explanation:

The coefficient of the x term is 4, so we need to add 2 to both sides of the equation.

x^2 + 4x + 4 = 0

x^2 + 4x + 2 + 2 = 0 + 2

(x + 2)^2 = 2

The resulting perfect square trinomial is (x + 2)^2.

To factor the resulting perfect square trinomial, we can use the square of a binomial pattern. The square of a binomial pattern is a^2 + 2ab + b^2. In this case, a = x and b = 2.

(x + 2)^2 = (x)^2 + 2(x)(2) + (2)^2

= x^2 + 4x + 4

Therefore, the factored form of the resulting perfect square trinomial is x^2 + 4x + 4.

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mark me brainlist

Step-by-sThe corresponding parts are:

<A = <A' = <A"

<B = <B' = <B"

<C = <C' = <C"

AB = A'B' = A"B"

AC = A'C' = A"C"

BC = B'C' = B"C"

How to compare the sides

The statement is given as:

△ABC was transformed using two rigid transformations.

The rigid transformations imply that:

The images of the triangle after the transformation would be equal

So, the corresponding parts are:

<A = <A' = <A"

<B = <B' = <B"

<C = <C' = <C"

AB = A'B' = A"B"

AC = A'C' = A"C"

BC = B'C' = B"C"

Why the results are true?

The results are true because rigid transformations do not change the side lengths and the angle measures of a shape

How to prove that two triangles are congruent without using rigid transformations?

To do this, we simply make use any of the following congruent theorems:

SSS: Side Side Side

SAS: Side Angle Side

AAS: Angle Angle Side

How to respond to this classmate?

The classmate's claim is that

Only two pairs of corresponding parts are enough to prove the congruent triangle

The above is true because of the following congruent theorems:

SSS: Side Side Side

SAS: Side Angle Side

Answer:

you are above average i think

Step-by-step explanation:

Answer:

Yes your IQ is really good and I think above average

In this scenario, each man shakes hands with all the other men (excluding himself) and with all the women (excluding his spouse). Therefore, each man shakes hands with \($25$\) people in total.

Since there are \($13$\) married couples, there are \($13$\) men and \($13$\) women. Hence, the total number of handshakes involving men is \($13 \times 25 = 325$\).

As for the women, they do not shake hands with each other, so we only need to consider the handshakes involving men. Therefore, the total number of handshakes among these \($26$\) people is \($325$\).

If you would like to represent this solution using LaTeX code, you can use the following snippet:

\(\text{Number of handshakes involving men} \\\\= \text{Number of men} \times \text{Number of handshakes per man} \\\\= 13 \times 25 = 325\)

Therefore, the total number of handshakes among the \($26$\) people is \($325$\).

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The letter used to represent Pearson's product-moment correlation coefficient is "r".

This coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no linear correlation.

To calculate Pearson's correlation coefficient, we first standardize the variables by subtracting their means and dividing by their standard deviations. Then, we calculate the product of the standardized values for each pair of corresponding data points. The sum of these products is divided by the product of the standard deviations of the two variables. The resulting value is the correlation coefficient "r".

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The answers are:

a. Develop frequency distribution and histogram for Sales.

b. Mean=243.23, Median=218.3, SD=139.53

c. IQR=243.25

d. Boxplot shows 2 outliers, recalculate measures w/o outliers.

e. Next year's sales goal: $346.12k.

a. The frequency distribution and histogram for Sales variable cannot be provided without knowing the class intervals or bin size.

b. The mean, median, and standard deviation for the Sales variable are 237.4, 208.35, and 89.47, respectively.

c. The interquartile range for the Sales variable can be determined by finding the difference between the third quartile (Q3) and the first quartile (Q1). From the data provided, Q1 = 183.2 and Q3 = 299.3. Therefore, the interquartile range is 116.1.

d. The box and whisker plot for the Sales variable shows one outlier at 399.7. After discarding the outlier, the mean, median, and standard deviation for the Sales variable become 195.33, 186.4, and 40.01, respectively.

e. To identify next year's sales goal at the 65th percentile, we need to sort the Sales data in ascending order and find the value at the 65th percentile. The 65th percentile corresponds to a value of approximately 248.68. Therefore, next year's sales goal should be around $248.68 million.

a. A frequency distribution is a table that displays the frequency of each class or interval in a dataset. A histogram is a graphical representation of a frequency distribution that displays the frequency of each interval as bars. The frequency distribution and histogram for Sales variable can be created by dividing the data into equal class intervals or bins, and counting the number of values that fall within each interval. However, the question does not provide any information on how to divide the data into intervals, so it is not possible to provide the required answer.

b. The mean is the sum of all the values in the dataset divided by the number of values. The median is the middle value of a dataset when it is arranged in ascending order. The standard deviation is a measure of the variability of the dataset, and it is calculated as the square root of the variance. The mean, median, and standard deviation for the Sales variable can be calculated using appropriate formulas, which are provided in most statistics textbooks and software.

c. The interquartile range is a measure of variability that indicates the spread of the middle 50% of the dataset. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The quartiles can be obtained by dividing the dataset into four equal parts.

d. A box and whisker plot is a graphical representation of the five-number summary of a dataset, which includes the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value. Outliers are values that are located far away from the bulk of the dataset, and they can be identified using appropriate criteria. The box and whisker plot for the Sales variable can be drawn using appropriate software, such as Excel or SPSS.

e. The percentile is a measure of position that indicates the percentage of values in the dataset that are below a certain value. The 65th percentile is the value below which 65% of the data fall. To identify next year's sales goal at the 65th percentile, we need to sort the data in ascending order and find the value at the 65th percentile using appropriate software or formulas.

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Answer:

try (4,5)

Step-by-step explanation:

that is where the points meet I think it is that I am not sure sorry if it is wrong

The correct answer is F. All three statements are true.In an inverse pair of matrices, when A and B are inverses of each other, the following properties hold:

1) AB = BA: The order of multiplication is important in matrix multiplication. However, when A and B are inverse matrices, they commute with each other, meaning that AB is equal to BA. This property ensures that statement 1 is true.

2) AB = I2: The identity matrix I2 is a special matrix that, when multiplied by any matrix, results in the original matrix itself. In the case of inverse matrices, when A and B are multiplied together, the result is the identity matrix I2. Therefore, statement 2 is true.

3) AI2 = B: Multiplying any matrix by the identity matrix on the right side does not change the matrix. So, multiplying A by I2 should yield the same matrix A. However, since A and B are inverses, B is the result of multiplying A by I2. Therefore, statement 3 is true.

All three statements are true when A and B form an inverse pair of matrices.

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It will cost Caden $5445 to paint the outside walls and roof of the warehouse.

The superficial area can be calculated using the following formula:

2 (lh +wh + lw )

2 (38 x 45 + 30 x 45 +38 x 30)

2 (1710 + 1350 + 1140)

2 x  4200

8400 square foot

Now, let's subtract the area of the floor that will not be painted.

30 x 38 = 1140

8400 - 1140 = 7260 feet to be painted

7260 x 0.75 = $5445

Based on this, the total cost to paint the area desired is $5445.

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Answer:

Inverse for a number x, denoted by 1/x or x⁻¹.

f(x) = x+3/ x-2

Step-by-step explanation:

f(x)-1 = x-2 /x+3

Answer: 325.6

Step-by-step explanation: 6 is in the tenth place and you don't round up the two

Answer:

350 tofu burgers

Step-by-step explanation:

So basically what I did was I took 200, divided it by 4 to get 50, which i then multiplied by 7 to get 350.

Answer:

x= -3/4 or x= 0.75

Step-by-step explanation:

The period of the function f(x) = cos(2.22x+0.19) is 2.8323 and the period of the function f(x) = sin(1.05x)  is 5.9834

The period of a trigonometric function, we use the formula:
Period = 2π/|B|
where B is the coefficient of x in the function.

For the first function, f(x) = cos(2.22x+0.19), the coefficient of x is 2.22. Therefore, the period is:
Period = 2π/|2.22| ≈ 2.8323

For the second function, f(x) = sin(1.05x), the coefficient of x is 1.05. Therefore, the period is:
Period = 2π/|1.05| ≈ 5.9834

So, the period of the first function is 2.83 and the period of the second function is 5.98. Both answers are rounded to four decimal places.

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The equation of the curve that satisfies the condition is \(y = 4e^{4x^{14}}\)

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

dy/dx = 56yx¹³

Rewrite as

dy/y = 56x¹³ dx

Integrate both sides of the equation

So, we have

ln(y) = 56x¹⁴/14 + c

Evaluate the quotient

ln(y) = 4x¹⁴ + c

Take the exponent of both sides

\(y = e^{4x^{14} + c\)

Expand

\(y = e^{4x^{14}} * e^c\)

This gives

\(y = ke^{4x^{14}}\)

The y-intercept is 4

So, we have

\(ke^{4 * 0^{14}} = 4\)

k = 4

So, we have

\(y = 4e^{4x^{14}}\)

Hence, the equation of the curve is \(y = 4e^{4x^{14}}\)

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Answer:

The answer is 20 pounds.

Step-by-step explanation:

Let p represent the number of pounds.

UPS charges $7 for the first pound, and $0.20 for each additional pound.

7 + 0.20p

FedEx charges $5 for the first pound and $0.30 for each additional pound.

5 + 0.30p

To know the number of pounds it will take for UPS and FedEx to cost the same, we will equal both the equations.

7 + 0.20p = 5 + 0.30p

=> 7 - 5 = 0.30p - 0.20p

=> 2 = 0.10p

=> p = 20

Therefore, it will take 20 pounds to make both of them equal

Answer:

boi

Step-by-step explanation:

The solution to the equation 2(t - 5) = 48 is t = 29.

To solve the equation 2(t - 5) = 48, we can use the following steps:

Distribute the 2 to the terms inside the parentheses:

2t - 10 = 48

Add 10 to both sides of the equation to isolate the variable term:

2t = 58

Divide both sides of the equation by 2 to solve for t:

t = 29

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The number of batches of cookies Michael can make is x<12. Therefore, option 3 is the correct answer.

Given that, Michael is making cookies. Each batch uses 3 cups of flour.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the number of batches of cookies be x.

Now, the inequality to represent the given situation is

3x+5<41

Subtract 5 on both sides of inequality, we get

3x<36

Divide 3 on both sides of inequality, we get

x<12

The number of batches of cookies Michael can make is x<12. Therefore, option 3 is the correct answer.

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Answer:

4900

Step-by-step explanation:

because it is square root of 70 and it means

sol?

square of 70 =70²=70×70=4900

Answer:

22.  30

prime factorization of 30

2 × 3 × 5

so there is no simplification needed here

23. 126

2 × 3 × 3 × 7

simplification

2 × \(3^{2}\) × 7

24.  4900

2 ×2 × 5 × 5 × 7 ×7

simplification

\(2^{2}\) × \(5^{2}\) × \(7^{2}\)

25.  39204

2 × 2 × 3 × 3 × 3 × 3 × 11 × 11

simplification

\(2^{2}\) × \(3^{4}\) × \(11^{2}\)

26 .  

Yes 4900 is a square number it's square root is 70

you can even cross-check

70 × 70

= 4900

and even 39204 is a square number it's square root is 198

you can even cross-check

198 × 198

= 39204

Hence 2 numbers 4900 and 39204 are square numbers

27 .

i. highest common factor of 30 and 126

factors of 30 are 2 × 3 × 5

factors of 126 are 2 × 3 × 3 × 7

now find common between them

common factors are 2 and 3

so multiply 2 and 3

2 × 3

= 6

6 is the highest common factor

ii. 126 and 39204

factors of 126 are 2 × 3 × 3 × 7

factors of 39204 are 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11

now find common between them

common factors are 2 × 3 × 3

= 18

18 is the highest common factor

28 .

1 .  126 and 4900

factors of 126 are 2 × 3 × 3 × 7

factors of 4900 are 2 ×2 × 5 × 5 × 7 ×7

make the pairs of the numbers

2 ×2 × 5 × 5 × 3 × 3 × 7 ×7

= 44100   least common multiple

ii. 4900 and 39204

factors of 39204 are 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11

factors of 4900 are 2 ×2 × 5 × 5 × 7 ×7

make the pairs of the numbers  

2 ×2 × 3 x 3 x 3 x 3 x 5 x 5 x 7 x 7 x 11 x 11

= 48024900 least common multiple