how many 7 digit numbers are there where all the digits are different and are in increasing order

Given: AQ ≅ RQ, it should be noted that AQY ≅ RQF based on SAS Congruence. Therefore, AQY ≅ RQF.

Given: AQ ≅ RQ

∠YAF and ∠FRY are right angles.

Prove: AQY ≅ RQF

1. AQ ≅ RQ (Given)

2. ∠YAF and ∠FRY are right angles (Given)

3. ∠AQY = ∠RQF (Vertical angles are congruent)

4. AQ = RQ (Given)

5. AY = RY (Side-Angle-Side Congruence)

6. ∠QYA = ∠RFQ (Angle-Side-Angle Congruence)

7. AQY ≅ RQF (SAS Congruence)

Therefore, AQY ≅ RQF.

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Given: AQ ≅ RQ

∠YAF and ∠FRY are right angles.

Prove: AQY ≅ RQF

Answer:

0.6  cause I got it correct.

Based on the given information, none of the options can be identified as the correct statement because they either lack the necessary details or the information provided is insufficient to make a definitive determination.

From the given options:

a. The statement suggests that "and" should not have been included in the model and that the hypothesis of their inclusion cannot be rejected. However, the information given does not provide any indication about the inclusion or exclusion of specific variables, nor does it mention any hypothesis testing. Therefore, option a cannot be determined as the correct statement based on the given information.

b. The statement compares the model in question to the models in Question 1 and Question 4, stating that the model here has the smallest value among the three. However, it is unclear what is meant by "smallest" and how it relates to the quality or goodness-of-fit of the models. Therefore, option b cannot be confirmed as the correct statement.

c. The statement suggests that the estimated elasticity of one variable (not specified) with respect to another variable (also not specified) is approximately -0.0167 and that it is significant at the 5% level. However, without specific information about the variables being analyzed and their context, it is not possible to confirm or refute this statement. Thus, option c cannot be identified as the correct statement.

d. The statement indicates that a 1% increase in an unspecified variable would lead to a 1.67 point reduction in an unspecified test variable. Again, without clear information about the variables and their context, it is not possible to determine the accuracy of this statement. Therefore, option d cannot be validated as the correct statement.

e. The statement suggests that decreasing an unspecified variable by one student would result in a 1.67 percent increase in another unspecified variable. As with the previous options, the lack of specific information makes it impossible to determine the validity of this statement. Thus, option e cannot be confirmed as the correct statement.

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the slope of the line that passes through (54, 82) and (-16, 5) is: -2



To find the slope of a line, we use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line.

Using the given point, we have:

slope = (5 - 82) / (-16 - 54)
slope = (-77) / (-70)
slope = 11/10

However, we need to simplify this answer as requested. We can simplify 11/10 as follows:

11/10 = 1 and 1/10

Therefore, the slope of the line that passes through (54, 82) and (-16, 5) is -2 (as an integer).



The slope of the line is -2, which means that the line is decreasing (or sloping downwards) as we move from left to right.
Hi! I'm happy to help you with your question.

To find the slope of the line that passes through the points (54, 82) and (-16, 5), you'll use the slope formula:

m = (y2 - y1) / (x2 - x1)

In this case, the coordinates are (x1, y1) = (54, 82) and (x2, y2) = (-16, 5). Plug these values into the formula:

m = (5 - 82) / (-16 - 54)

Now, we'll simplify:

m = (-77) / (-70)

Finally, reduce the fraction to its simplest form:

m = 11/10

The slope of the line that passes through the points (54, 82) and (-16, 5) is 11/10.

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The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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The solution to the given formula for 1 is (C - B) / Bt is obtained by solving a linear equation.

To solve the given formula for 1, we need to first subtract B from both sides of the equation. Then, we can divide both sides by t to get the final solution.

The given formula is C = B + Bt. We need to solve it for 1. So, we can write the equation as:

C = B + Bt
Subtracting B from both sides, we get:

C - B = Bt
Dividing both sides by Bt, we get:

(C - B) / Bt = 1

Therefore, the solution for the given formula for 1 is:

1 = (C - B) / Bt

Hence, the solution to the given formula for 1 is (C - B) / Bt.

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Answer:

B. \(y = \frac{2}{3} x + 5\)

Step-by-step explanation:

Let's use the slope equation first. The slope equation is as follows:

\(\frac{y2-y1}{x2-x1} = slope\)

This is what is given in the equation:

Let's label each component of the equation using these points:

y2 = 9

y1 = 7

x2 = 6

x1 = 3

Now, plug these into the equation

\(\frac{9-7}{6-3} = \frac{2}{3}\)

We can now eliminate A and C of the answer choices.

Now let's find the y intercept

Right now we have the following equation

\(y = \frac{2}{3} x+ (y intercept)\)

In order to find the y intercept we need to plug in one of the given points into the equation. Let's use point (3,7).

The equation should look like this now:

\(7 = \frac{2}{3}(3) + (yintercept)\)

Now lets solve for the y-intercept

\(7 = \frac{2}{3}(3) + (yintercept)\\7 = \frac{6}{3} + (yintercept)\\7 = 2 + (yintercept) \\5 = yintercept\)

Now that we found the y-intercept is 5 we have our full equation!

\(y = \frac{2}{3} x + 5\)

Hope this helps!!

- Kay

Negative

1. If a triangle represents one-sixth, then a rhombus is 1/3.

2. If a hexagon represents 2, then a trapezoid is 1/3.

3. If a trapezoid + a triangle = 1, then a rhombus is 1/2

4. If a rhombus + a triangle = 1, then a hexagon is 3.

5. If a hexagon represents 2, then a rhombus is 1.

1. If a triangle represents one-sixth, then a rhombus is 1/3. This is because a rhombus has twice the number of triangles as a triangle, so a rhombus represents two-sixths, which simplifies to 1/3.

2. If a hexagon represents 2, then a trapezoid is 1/3. This is because a hexagon has three pairs of parallel sides, and a trapezoid is a four-sided figure with one pair of parallel sides. Therefore, a trapezoid has half the number of parallel sides as a hexagon, so it represents half of 2, which is 1, and when divided by its number of sides, we get 1/3.

3. If a trapezoid + a triangle = 1, then a rhombus is 1/2. This is because a rhombus can be divided into two triangles, so a rhombus represents two-sixths, which simplifies to 1/3. Therefore, a trapezoid represents 1 - 1/3 = 2/3. Since a rhombus has twice the number of sides as a trapezoid, a rhombus represents twice 2/3, which is 4/3, and simplifies to 1/2.

4. If a rhombus + a triangle = 1, then a hexagon is 3. This is because a rhombus can be divided into two triangles, so a rhombus represents two-sixths, which simplifies to 1/3. Therefore, a triangle represents 1 - 1/3 = 2/3. Since a hexagon has six sides, a hexagon represents six times 2/3, which is 4.

5. If a hexagon represents 2, then a rhombus is 1. This is because a rhombus can be divided into two congruent triangles, so a rhombus represents twice the area of a triangle. Since a hexagon can be divided into six triangles, a hexagon represents six times the area of a triangle, which is 2. Therefore, a rhombus represents 2 divided by 6, which simplifies to 1/3. However, since a rhombus has twice the number of sides as a triangle, a rhombus represents twice 1/3, which is 2/3, and simplifies to 1.

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Answer:

What is the question tell me clearly.

Step-by-step explanation:

Using algebraic notation, using the letter x for any unknown numbers the statement is written as 2(x + 1).

In algebraic formulations, numbers are represented by letters or alphabets without their numerical values being specified. The fundamentals of algebra taught us how to represent an unknown value using letters like x, y, and z. Here, these letters are referred to as variables. A mathematical expression may have both variables and constants. A coefficient is any value that is introduced before and increased by a variable.

Let us suppose the number = x.

The given statement is, I think of a number, add one, then double the result.

Using the algebraic notation, we can write the statement as follows:

2(x + 1)

Hence, using algebraic notation, using the letter x for any unknown numbers the statement is written as 2(x + 1).

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Answer:

x = 90

Squares add up to 360 degrees 90 + 90 + 90 + 90 = 360 Hope that helps!

Answer:

45 degrees

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180:

m<R + m<S + m<T = 180

11x + 3 + x + 15 + 2x + 8 = 180 add like terms

14x + 26 = 180 subtract 26 from both sides

14x = 154 divide both sides by 14

x = 11 to find m<R replace x with 11

11*11 + 3 = 124

Apply angle sum property

\(\\ \rm\rightarrowtail 11x+3+x+15+2x+8=180\)

\(\\ \rm\rightarrowtail 14x+26=180\)

\(\\ \rm\rightarrowtail 14x=154\)

\(\\ \rm\rightarrowtail x=11\)

The number of plants needed is 200. The perimeter of the lot is 40 m and the distance between plants is 0.2 m.

The perimeter of the square lot is 4 times the length of one side, or 4 * 10 m = 40 m.

Each plant will be placed 20 cm apart, which is 0.2 m.

To find the number of plants needed, we divide the perimeter of the lot by the distance between each plant:

Number of plants = perimeter/distance between plants

Number of plants = 40 m / 0.2 m

Number of plants = 200

Therefore, 200 Santan plants must be planted in all.

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Answer:

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

The measure of the angle formed outside of circle is half the difference of major and minor arc measures.

It means the measure of angle T is:

The measure of the angle indicated in the diagram is 50 degrees.

What is Tangent ?

In geometry, the tangent is a trigonometric function that relates the opposite side and adjacent side of a right triangle. More specifically, for a given angle θ, the tangent of θ (denoted by tan θ) is defined as the ratio of the length of the opposite side to the length of the adjacent side of the right triangle containing that angle.

In the given figure, the two lines are tangent to the circle with center O. Let's call the point where the two lines intersect point P.

We know that the angle formed by a tangent line and a radius of a circle is always 90 degrees. Therefore, we can draw a radius OP from the center of the circle to point P and we know that angle POQ (where Q is the point where the radius intersects the circle) is 90 degrees.

We also know that angle OPQ is 40 degrees (as given in the diagram).

Since the sum of the angles in a triangle is 180 degrees, we can find angle OQP as follows:

angle OQP = 180 - angle OPQ - angle POQ

= 180 - 40 - 90

= 50 degrees

Therefore, the measure of the angle indicated in the diagram is 50 degrees.

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Answer:95

Step-by-step explanation:

Answer:

12y-10y=2z-2D

2y=2z-3D

Divide both sides by 2

Y=z-3D

Absolutely

You can purchase 10 gallons of Gasoline.

We have only $20 to spend on gasoline each week. If the price of gasoline is $2 a gallon

Here, we have $20

Cost per gallon $2

Number of gallons: 20/2 =10 gallons

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Answer:

4

Step-by-step explanation:

32 divided by 8

Answer:

Step-by-step explanation:

The payroll for LA Dodgers 2.16*108=233.28

for Houston A  2.4*107=256.80

Houston Astros's payroll was higher

To represent the data, the display used is histogram.

A frequency distribution shows how often each different value in a set of data occurs. A histogram is the most commonly used graph to show frequency distributions. Histograms visualize quantitative data or numerical data, whereas bar charts display categorical variables.

Given,

Data of 24 students eating vegetables in the frequency table.

The data is quantitative.

Histograms are visual displays of frequencies using columns plotted on a graph. The Y-axis (vertical axis) generally represents the frequency count, while the X-axis (horizontal axis) generally represents the variable being measured.

Hence, Histogram will be used to represent the data.

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Answer:

x=4-√79, x=4+√79

Step-by-step explanation:

The given statement is  (A) true:

There are exactly two partial orders that satisfy the conditions mentioned.

To understand why, let's analyze the requirements for a partial order in this case:

1. The element "a" must be the maximum element, meaning that "a" should be greater than or equal to any other element in the set.

2. The element "d" must be the minimum element, meaning that "d" should be less than or equal to any other element in the set.

To visualize this, let's consider the possible comparisons between the elements:

1. Comparing "a" with "b", "c", and "d":

  - If "a" is greater than all other elements (b, c, and d), then it would satisfy the condition of being the maximum element.

  - However, if "a" is equal to any other element (b, c, or d), it would still satisfy the condition of being the maximum element.

  - Therefore, there are 2 possibilities for the comparison between "a" and the remaining elements: either "a > b, a > c, a = d" or "a = b, a > c, a = d".

2. Comparing "d" with "a", "b", and "c":

  - If "d" is less than all other elements (a, b, and c), then it would satisfy the condition of being the minimum element.

  - However, if "d" is equal to any other element (a, b, or c), it would still satisfy the condition of being the minimum element.

  - Therefore, there are 2 possibilities for the comparison between "d" and the remaining elements: either "d = a, d < b, d < c" or "d = a, d = b, d < c".

Combining these possibilities, we have two different partial orders that satisfy the conditions:

1. Partial order 1: a > b, a > c, a = d, d < b, d < c
2. Partial order 2: a = b, a > c, a = d, d < b, d < c

Hence, the statement is true, and there are exactly two such partial orders. The correct answer is A) True.

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Answer:

Step-by-step explanation:

Answer: No

Step-by-step explanation:

There are infinitely many numbers. Numbers so big that they are beyond our comprehnsion. Numbers can also be infinitly small. A fraction is something less than a whole. So the answer is no you can't list them all.

a)  The direction in which you should walk to descend fastest is: (-12, -16)

b) The slope of your path is: -88

c) The direction of the greatest increase in temperature at the point (−2, 2) is: (-4, 4)

The maximum rate of change is: 4√2

d) The direction of the greatest decrease is: (4, -4).

The most negative rate of change is: 4√2

(a) The equation on the surface is:

z = 15 - (3x² + 2y²)

The gradient of this surface will be the partial derivatives of the equation. Thus:

Gradient of the surface z:

∇z = (-6x, -4y)

Since you are standing above the point (2,4), then the direction to descend fastest is:

∇z(2,4) = (-6(2), -4(4))

∇z(2,4) = (-12, -16)

That gives us the direction to descend fastest is in the direction.

(b) If you start to move in the direction (-12, -16) above, then slope of your path (rate of descent) is given by the dot product expressed as:

Slope = ∇z(2,4) · (-12, -16)

= (2)(-12) + (4)(-16)

= -24 - 64

= -88

(c) We want to find the direction of the greatest increase in temperature at the point (−2,2).

Thus, the gradient of T(x,y) is given by:

∇T = (2x, 2y).

The direction is:

∇T(-2, 2) = (2(-2), 2(2))

∇T(-2,2) = (-4, 4)

The maximum rate of change is:

∇T(-2,2) = √((-4)² + 4²)

= √(16 + 16)

= √(32)

= 4√2

(d) The direction of the greatest decrease is:

(-∇T(-2, 2)) = (-(-4), -4)

= (4, -4).

The most negative rate of change is:

∇T(-2, 2) = √(4² + (-4)²)

= √(16 + 16)

= √(32)

= 4√2

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Answer:

7/18

Explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(5/6, 4/9) = 18

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.

Complete the multiplication and the equation

The two fractions now have like denominators so you can subtract the numerators.

15/18 −8/ 18 = 7/18

Therefore:

5/6−4/9=7/18

                      hope this helps

                               (>'-'<)    

Answer:

35 in per day         Step-by-step explanation: