Is the figure a rectangle? Explain.

No, it is not a rectangle because the diagonals are congruent.
No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.
Yes, it is a rectangle because the diagonals are congruent.
Yes, it is a rectangle because the sides of the parallelogram do meet at right angles.

Answer:

I think 40. I am sorry if Im wrong.

Answer:

Sweater=40

Step-by-step explanation:

2s+p=120

s+2p=120

s=p

120/3=40

Answer:

Option A is the correct answer

Step-by-step explanation:

\(f(x)=\sqrt[3]{2x}\)

\(g(x)=4x+1\)

\(\bigg(\frac{f}{g}\bigg)(x)=\frac{\sqrt[3]{2x}}{4x+1},\:x\neq -\frac{1}{4}\)

Because by plugging x = -1/4 denominator of the fraction would become zero.

Division by zero is not defined.

Answer:

A

Step-by-step explanation:

m = (-7 - 6 ) / (-5 - 1)

m = -13 / -6

m = 13/6

The table that shows the relationship between Mexican pesos and U.S. dollars is

x           y

0           0

20         400

50          1000

100          2000

Exchange rate is the rate at which one currency is changed for another currency.  In this question, 1 mexican peso is exchanged for 20 U.S. dollars.

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To establish the existence of a causal relationship between the thickness of the packaging material and the shelf life of the cheese,

In a dairy factory, the best study that would be a reliable source of evidence is a randomized controlled trial (RCT).In an RCT, the participants are randomly assigned to two or more groups,

where one group receives the intervention (in this case, cheese packaged with thicker material) and the other group receives the standard treatment (cheese packaged with the usual material).

To ensure the reliability of the study, the RCT should be conducted in a double-blind manner, where neither the participants nor the researchers know which group is receiving the intervention. This will prevent any bias that may influence the results.

The participants should also be selected carefully to ensure that they represent the target population of the study. In this case, the participants should be cheese consumers or distributors who are interested in the shelf life of the cheese.

By comparing the shelf life of the cheese packaged with thicker material to that packaged with the usual material, the RCT can establish the existence of a causal relationship between the thickness of the packaging material and the shelf life of the cheese.

The results of the study can then be used to inform the dairy factory's packaging practices and improve the shelf life of their cheeses.

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Answer:

\(Dom_{f}=[-3,\infty)\)

\(Range_{f}=(-\infty,-2]\)

Step-by-step explanation:

I understand the correct function is \(f(x)=-\sqrt{x+3} - 2\)

Domain of f

\(x+3\geq 0\\x\geq -3\)

Thus, \(Dom_{f}=[-3,\infty)\)

Range of f

\(Range_{f}=(-\infty,-2]\)

Answer:

300 students

Step-by-step explanation:

Hence, \(y=4+x\) is a proportional relationship.

What is the proportional?

Proportional or proportion meaning in math means equality between two ratios. In the mathematical equation \(\frac{a}{b}=\frac{c}{d}\), where \(a\) and \(b\) are in a similar proportion as \(c\) and \(d\).

A proportion is essentially established for solving a word problem in which one of its four quantities is unknown.

Here given that,

We have to check \(y=4+x\) is a proportional relationship or not.

So, the given equation is

\(y=4+x\)

Here, \(4\) is constant.

So, \(y=4+x\) is a proportional relationship.

Hence, \(y=4+x\) is a proportional relationship.

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Step-by-step explanation:

Let say the unknown number we dont know is x

2x+4=6

2x=6-4

2x=2

x=2/2

x=1

So the unknown number is 1

Answer:

180 tablespoons

Step-by-step explanation:

240×.25=60

240-60=180

Answer:

180

Step-by-step explanation:

Answer:

h=\(\frac{b\sqrt{3} }{2}\)

Step-by-step explanation:

The sequence 1/2, 7/6, 11/6, 5/2 is an arithmetic sequence

The given sequence is:

\(\frac{1}{2}, \frac{7}{6},\frac{11}{6},\frac{5}{2}........\)

A sequence is an arithmetic sequence if it has a common difference d

In the given sequence:

\(T_1=\frac{1}{2} , T_2 = \frac{7}{6}, T_3=\frac{11}{6}, T_4=\frac{5}{2}\)

\(T_2-T_1=\frac{7}{6}-\frac{1}{2} \\\\T_2-T_1=\frac{2}{3} \\\\T_3-T_2=\frac{11}{6}-\frac{7}{6} \\\\T_3-T_2=\frac{2}{3}\)

Since the sequence has a common difference of 2/3, it is an arithmetic sequence

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As per the set theory, the number of student who take math course is 800

Set:

In math, set means an organized collection of objects and can be represented in set-builder form or roster form.

Given,

Here we know that suppose that all of the 1000 first-year students at a certain college are enrolled in a math or an English course. suppose 400 are taking both math and English and 600 are taking English.

Now, we need to find the number of students who take math course.

While looking into the given question we have identified that,

Total Number of students = 1000

Number of students in both course = 400

Number of students taking English = 600

Then the number of students who take math course is calculated as

=> 1000 - 600 + 400

=> 800

Therefore, the resulting number of students is 800.

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The sum of all the angles that are labeled in the given vertex is 294°

In a single vertex, the three angles around the vertex are given as 55°, 64°, and 175°

We have to find the sum of all the angles that are labeled in the given single vertex.

A vertex is a point two or more lines meets.

It is the corner of a geometrical shape.

Example:

A square has 4 corners so it has 4 vertexes.

A cube has 8 corners so it has 8 vertexes.

We will add all the different angles in the single vertex as shown in the figure below.

Let,

Angle A = 55°

Angle B = 64°

Angle C = 175°

The sum of all the angles that are labeled is:

= Angle A + Angle B + Angle C

= 55° + 64° + 175°

= 294°

The sum of all the angles that are labeled in the given vertex is 294°

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According to the information provided, Jose's medically ideal weight is 250 pounds. Therefore, he would be considered to be obese when and if he weighed 300 pounds or more.

This means that the correct answer to the question is option b) 300.

It is important to note that obesity is typically defined as having a body mass index (BMI) of 30 or higher. BMI is calculated by dividing a person's weight in kilograms by their height in meters squared. A person's medically ideal weight is the weight that is considered healthy for their height and age.

BMI = (weight)/(maters squared)²

So, in summary, Jose would be considered to be obese when and if he weighed 300 pounds or more, as this would likely result in a BMI of 30 or higher, indicating obesity.

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Well your answer for problem 4 is 28. IM not sure what the boxes are for though...

Answer:

1.6 hours.

Step-by-step explanation:

We divide the total distance by the KMH speed.

12.8 / 8 = 1.6

Median is the middle value.

Writing the values from smallest to largest you have :

1/8, 1/8, 2/8, 2/8, 2/8, 3,8, 3/8, 4/8, 5/8

There are 9 values. The middle value ( median) would be the 5th number ( this would give you 4 numbers below it and 4 numbers above it.

The Median is 2/8

Answer:

2/8 is the median. In decimal, it is 0.25.

Happy learning!

--Applepi101

Answer:

I = 4 × 0.25 × 5.5 = 5.5

I = $ 5.50

Step-by-step explanation:

Answer:

You would pay $3.17 (rounded since this is money)

Answer:

y = \(-\frac{4}{3}\)x + 6

Step-by-step explanation:

y = mx + b

m: slope

b: y-intercept

y-intercept point on the graph is (0, 6) because it's the point that's on the y-axis.

Therefore, y-intercept is 6.

Slope: \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Point A: (0, 6)

Point B: (4, -2)

Slope (m) = \(\frac{-2 - 6}{4 - -2}\)

\(m = \frac{-2 - 6}{4 +2}\)

\(m = \frac{-8}{6}\)

\(m = -\frac{4}{3}\)

y = \(-\frac{4}{3}\)x + 6

Hope this helped! <3

Answer:

5

Step-by-step explanation:

A proportional relation has the following equation:

y = kx

where k = constant of proportionality.

Plug in any given ordered pair into x and y and solve for k.

Let's us (7, 35).

35 = k * 7

k = 35/7 = 5

Answer: The constant of proportionality is 5.

Answer:

48x=2x

Step-by-step explanation:

im big brain can i get brainilest

Answer:

Amount of fuel antifreeze = 6,279 gallon

Step-by-step explanation:

Given:

Amount of fuel =  273,000-gallon

Antifreeze = 2.3 %

Find:

Amount of fuel antifreeze

Computation:

Amount of fuel antifreeze = Amount of fuel × Antifreeze

Amount of fuel antifreeze = 273,000 × 2.3 %

Amount of fuel antifreeze = 6,279 gallon

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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The prime factorisation of √25 = 5

The prime factorisation of √441 = 21

The simplest form of √25 / 441 is 5 / 21

simplify √25 / 441

Using indices method,

\(\sqrt[n]{ab} = \sqrt[n]{a} .\sqrt[n]{b}\)

Therefore,

The prime factorisation of √25 = 5

The prime factorisation of √441 = 21

The expression √25 / 441 in the simplest form is as follows:

√25 / 441 = 5 / 21

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Answer:

Here are your answers .......

The prime factorisation of √25 = 5

The prime factorisation of √441 = 21

The simplest form of √25 / 441 = 5 / 21

Step-by-step explanation:

Answer:

x = 6

y = 15

Step-by-step explanation:

We can find the value for x and y using similarity ratio

8/12 = 10/y cross multiply expressions

8y = 120 divide both sides by 8

y = 15

12/(x+12) = 10/15

180 = 10x + 120 subtract 120 from both sides

60 = 10x divide both sides by 10

6 = x

Your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal from linear equation concept.

For your vacation at the beach, you have already spent $160 on groceries for the week. In addition, you anticipate spending $40 each time you eat out.

To determine your overall budget for the vacation, you need to consider how many times you plan to eat out during the week. Let's say you plan to eat out 'x' number of times.

Since each time you eat out costs $40, the total amount spent on eating out can be represented by the equation:

Total spent on eating out = $40 * x

Adding this to the amount spent on groceries, the total vacation budget can be calculated as:

Total budget = Amount spent on groceries + Total spent on eating out

Total budget = $160 + ($40 * x)

For example, if you plan to eat out 3 times during the week, the calculation would be:

Total budget = $160 + ($40 * 3)

Total budget = $160 + $120

Total budget = $280

In this case, your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal.

The total budget will vary depending on the number of times you plan to eat out. By adjusting the value of 'x', you can calculate the specific total budget for your vacation.

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The correct answer is 200 feet.

To find the width of the sports field, we need to determine the x-coordinate values where the height (y-coordinate) of the field is equal to zero. The given function for the sports field's turf is:

f(x) = -0.00025(x - 100)^2 + 2.5

We will now set f(x) equal to 0 and solve for x:

0 = -0.00025(x - 100)^2 + 2.5

First, let's move the 2.5 to the other side of the equation:

0.00025(x - 100)^2 = 2.5

Next, divide by 0.00025:

(x - 100)^2 = 2.5 / 0.00025 = 10,000

Now, take the square root of both sides:

x - 100 = ±√10,000 = ±100

Finally, solve for x:

x = 100 ± 100

There are two x values: 100 - 100 = 0 and 100 + 100 = 200. These are the leftmost and rightmost edges of the field, respectively.

So, the width of the field is the difference between the rightmost and leftmost edges:

Width = 200 - 0 = 200 feet

Thus, the correct answer is 200 feet.

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An ogive is used to plot cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class when displaying quantitative data. Option B.

An ogive is a graph that represents a cumulative distribution function (CDF) of a frequency distribution. It shows the cumulative relative frequency or cumulative frequency of each class plotted against the upper limit of the corresponding class. In other words, an ogive can be used to represent data through graphs by plotting the upper limit of each class interval on the x-axis and the cumulative frequency or cumulative relative frequency on the y-axis.

An ogive is used to display the distribution of quantitative data, such as weight, height, or time. It is also useful when analyzing data that is not easily represented by a histogram or a frequency polygon, and when we want to determine the percentile or median of a given set of data. Based on the information given above, option B: "Cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class" is the correct answer.

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