Which of the diagram represents the inequality x=1?

A quadrilateral with exactly 2 congruent sides is called an isosceles trapezoid.

A quadrilateral is a polygon with four sides and four angles. The sum of the interior angles of a quadrilateral is always equal to 360 degrees. There are many different types of quadrilaterals, including rectangles, squares, trapezoids, kites, and rhombuses. These different types of quadrilaterals have specific properties that make them unique, such as having parallel sides or congruent angles. Quadrilaterals are used in geometry and other areas of mathematics to study the properties of shapes and how they relate to one another.

Here,

It could also be a kite, as a kite has two pairs of adjacent congruent sides. It could not be a rectangle, as a rectangle has 4 congruent sides. It could also not be a square, as a square has 4 congruent sides and 4 congruent angles.

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Each 3 parts (a, b, c) are briefly solved under with steps.

a. To draw a network flow model for this problem, follow these steps:
1. Create nodes for the two plants (Huntington and Bakersfield) and the four distributors (Dallas, Chicago, Denver, and Atlanta).
2. Add arcs connecting each plant to each distributor.
3. Label each arc with the shipping cost per container (use the table provided in the question) for October and November (increase each rate by $1.50 for November).
4. Add capacity constraints for each plant (3,000 units for Huntington and 4,000 units for Bakersfield) and the demand for each distributor (1,500 units for October and 2,000 units for November).
5. Include the possibility of shipping up to 500 units more than the distributor has ordered for a $2 per unit discount on the excess.

b. Implement your model in a spreadsheet by following these steps:
1. Create a table with rows representing the plants and columns representing the distributors.
2. Enter the shipping costs per container for October in the cells, and create a similar table for November with the increased shipping costs.
3. Add columns for production capacity (Huntington - 3,000 units, Bakersfield - 4,000 units) and rows for the distributor's demand (1,500 units for October and 2,000 units for November).
4. Set up cells to calculate the total shipping cost, considering the production capacity, demand, and possible excess shipping.
5. Use a solver tool (such as Excel's Solver) to minimize the total shipping cost, while satisfying the capacity and demand constraints.

c. The optimal solution can be found by solving the spreadsheet model created in part b.

The solver will provide the optimal number of units to produce at each plant and the distribution plan that minimizes the total cost. Since the question does not provide specific numeric details or the spreadsheet, the exact optimal solution cannot be provided here.

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The numbers that do not form a fact family are solved

Given data ,

A fact family consists of a set of related addition and subtraction facts that use the same numbers. For example, the numbers 3, 5, and 8 form a fact family because:

3 + 5 = 8

5 + 3 = 8

8 - 5 = 3

8 - 3 = 5

Numbers that do not form a fact family are any set of numbers that do not follow this pattern. For example, the numbers 2, 4, and 7 do not form a fact family because no combination of addition and subtraction using these numbers produces the other two numbers.

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Answer:

the value of y=6..................

The missing number of the series is 21.

The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.

Using this pattern, we can determine the missing number in the sequence.

0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55

Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.

Therefore, the completed sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.

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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.

To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.

The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:

Therefore, the missing number in the sequence is 21.

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The smallest positive integer value of n for which 225n is a multiple of 540 is 8.

To determine the smallest positive integer value of n for which 225n is a multiple of 540, we need to find the least common multiple (LCM) of 225 and 540 and then divide it by 225.

To find the LCM of 225 and 540, we can factor both numbers into primes:

225 = 3^2 x 5^2

540 = 2^2 x 3^3 x 5

The LCM will be the product of the highest powers of each prime factor:

LCM = 2^2 x 3^3 x 5^2 = 1800

Now, we divide the LCM by 225:

1800 / 225 = 8

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Answer:

Step-by-step explanation:

z-score representing 85% is 1.04 (from table)

Let x be the score representing the lower limit of 85%.

Use the formula to find z-scores:

We have:

Substitute the values and solve for x:

The lower limit of the top 15% is 85.28.

Since your score is greater than 85.28 you earned an A

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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three squared minus two thirds

three square = 3 x 3 = 9

Least common factor of 1 and 3 is 3

Three squared minus two third is twenty five by three.

\(7 - 4(2w + 1) = 9w - 49 + w \\ 7 - 8w - 4 = 10w - 49 \\ 10w + 8w = 7 - 4 + 49 \\ 18w = 52 \\ w = \frac{52}{18} \\ w= 2.88\)

I hope I helped you^_^

Answer:

$900.929

Step-by-step explanation:

hope it helps you

please mark me as brainlist

Answer:

radicand

Step-by-step explanation:

Answer:

sss

Step-by-step explanation:

Answer: AA similarity

Step-by-step explanation:

Answer:

It depends how much they get paid which is 20 dollors

Step-by-step explanation:

SO THE ANSWER IS 20

Answer:

A proportion is an equality of two ratios.

...

Things to remember

Determine whether the ratio is part to part or part to whole.

Calculate the parts and the whole if needed.

Plug values into the ratio.

Simplify the ratio if needed. Integer-to-integer ratios are preferred.

To afford a R350,000 deposit for a house in 10 years, your sister will need to invest approximately R1,909.26 per month, assuming a 9% annual nominal return on investment (NACM).

To calculate the monthly investment required, we can use the future value of an ordinary annuity formula:

FV = P × [(1 + r)^n - 1] / r

Where:

FV = Future value (R350,000)

P = Monthly investment

r = Monthly interest rate (9% ÷ 12 = 0.0075)

n = Number of periods (10 years × 12 months = 120)

Rearranging the formula to solve for P, we get:

P = FV × (r / [(1 + r)^n - 1])

Substituting the given values, we have:

P = R350,000 × (0.0075 / [(1 + 0.0075)^120 - 1])

 ≈ R1,909.26

Therefore, your sister would need to invest approximately R1,909.26 per month to accumulate a deposit of R350,000 in 10 years, assuming a 9% annual nominal return on investment.

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Answer:

The evidence does not support the math chairperson's claim that the percentage is no longer 40%

Step-by-step explanation:

The known population percentage of research in mathematics published by US authors = 40%

The proportion, p = 0.40

Therefore, q = 1 - p = 1 - 0.4 = 0.6

The number of articles in the sample = 130

The number of articles by US authors in the sample = 62

Therefore, the proportion of US authors in the sample, \(\hat p\) = (62/130) × 100 =

\(0.4\overline{769230}\)

∴ The percentage of US authors in the sample ≈ 47.7%

The null hypothesis, H₀; p = 0.4

The alternative hypothesis, Hₐ; p ≠ 0.4

The z-test is given as follows;

\(z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p\cdot q}{n}}}\)

\(z=\dfrac{0.477-0.40}{\sqrt{\dfrac{0.4\times 0.6}{130}}} \approx 1.792\)

The p-value P(Z > 1.79) = 2 × (1 - 0.96327) = 0.07346

Therefore, given that the p-value is larger than 0.05 there is significant evidence in favor of the null hypothesis and we reject the alternative hypothesis

Therefore, also, there is not enough statistical evidence to support the math chairperson's claim that the percentage is no longer 40%.

Answer:

41.0 cm^2 to nearest tenth.

Step-by-step explanation:

Required area = Area of the semicircle - area of the clear triangle

Area semicircle = 0.5πr^2

= 0.5π *6^2

= 18π.

Finding Altitude h of the triangle :

cos 60 =  h / 6

h = 6 cos 60 = 6 * 1/2

= 3.

Finding Base b of the triangle:

sin 60 = 0.5b / 6

0.5b = 6 * sin 60

= 5.196.

So area of the triangle = h * 0.5b

= 3 * 5.196

Area of shaded region

= 18π -  3 * 5.196

= 40.96 cm^2

Answer:

38.52 cm²

Step-by-step explanation:

Take the shaded area to be found into 2 parts :

Area of left sector

Area subtended by top chord

Area (shaded)

Answer:

26 green balloons

Step-by-step explanation:

56-30 = 26 green balloons

The total number of balloons is 56. And the number of green balloons will be 26.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

There are 8 sacks of yellow and green inflatables. Each sack contains 7 inflatables. The total number of balloons will be given as,

⇒ 8 x 7

⇒ 56

If there are 30 yellow balloons. Then the number of green balloons will be calculated as,

⇒ 56 - 30

⇒ 26

The total number of balloons is 56. And the number of green balloons will be 26.

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The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

The data type used for storing the grade of a test score in a class is char. Then the correct option is A.

A specific type of data object is described by the information it can hold, the computer language it's written in, and the actions it can execute.

As per the test result, the grades will be A, B, C, and D. So we need to hold the letters A, B, C, and D in a parameter, and we use the char input data to store a character. If we need to store a test score like 67.00 percent, we have the double data structure variable since it has a quantity after the numerical value, whereas we can only hold data points in the int base class variables.

The data type used for storing the grade of a test score in a class is char.

Thus, the correct option is A.

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In linear equation, 4  is the maximum whole number of gigabytes of data he can use while staying within his budget.

What are a definition and an example of a linear equation?

Let the number of gigabyte so f data she can use while staying within her budget then,

we can write the cost equation as following

 4x + 66.50 ) ≤ 85

   85 - 66.50 ≤ 4x

   18.5 ≤ 4x

   x ≤ 18.5/4

   x ≤ 4. 625

   Xmax =  4

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L = k/f, where k is the variational constant, is the formula for the inverse variation.

A mathematical relationship between two variables in which they vary in opposing directions is referred to as an inverse proportion, also known as an inverse relationship. When one variable increases while the other decreases, this is known as having inverse proportions.

Using the variables length of violin 'l' and frequency of vibration 'f'

If the length of violin 'l' is inversely proportional to the frequency of vibration 'f', this is expressed as:

l α 1/f

l = k/f

Hence the formula for the inverse variation is l = k/f where k is the constant of variation.

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Answer:

one-solution

Step-by-step explanation:

(x + 2y = 6)2

2x - 3y = 26

2x + 4y = 12

2x - 3y = 26

7y = -14

y = -2

x + 2(-2) = 6

x + -4 = 6

x = 10

Answer:

Step-by-step explanation:

It is two lines, if they intersect there is one solution, if parallel- no solution, if  same lines- infinitely many solutions

Lets put them in slope-intercept form and compare:

As we see the lines have different slopes, so they intersect which means one solution only.

Converting the force from newtons to pounds can help us determine the chances of a driver being able to stop a child. The conversion factor is 1 pound (lb) = 4.45 newtons (N).

To convert the force from newtons to pounds, we use the conversion factor of 1 lb = 4.45 N. If we have a force in newtons, we can divide it by 4.45 to obtain the equivalent force in pounds. For example, if the force is 20 N, we divide it by 4.45 to get approximately 4.49 lb.

Now, in order to assess the chances of the driver stopping the child, we need to consider various factors such as the mass and speed of the child, the friction between the driver's shoes and the ground, and the force applied by the driver. If the force applied by the driver, converted to pounds, is greater than or equal to the force exerted by the child, there is a higher chance of stopping the child.

However, it's important to note that other factors, such as the driver's reaction time and the coefficient of friction between the shoes and the ground, also play significant roles in determining the outcome. Thus, the chances of the driver stopping the child depend on a combination of these factors, making it essential to consider them comprehensively when evaluating the situation.

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Answer:

-11

Step-by-step explanation:

*The sum of all three angles of a triangle is 180*

So,

80+60

140 + (x + 51) = 180

-140 -140

x + 51 = 40

- 51 - 51

x = - 11

HOPE this helped

The given scenario describes an example of a cluster sampling technique.

The responses given by the players can be considered representative of the opinions held by the entire team.

The action taken by the football coach in selecting either the varsity or junior varsity team and asking for the opinion of all players on a new logo constitutes a randomly selected sample.

This means that the coach did not specifically choose certain players or a particular group to provide feedback, but rather included all members of one of the two teams.

Therefore, the responses given by the players can be considered representative of the opinions held by the entire team.

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Answer:

Make all sides 3.0

Answer:3.0

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a - b = c then the value of b is a - c:

Answer: Unless I am missing something, there are no solutions

(guessing you need to solve for x)

(given) 2 - 2x - 4= –2x + 5 ​

(combine like terms) -2 -2x = -2x + 5

(add 2 to both sides) -2x = -2x + 5

Two ways to go from here:

(subtract 2x from both sides) 0 = 7 which I think means no solutions

Or you try to figure something out, but I am not sure what that would be currently, it's been a bit since I've done this, good luck!