Graph the equation
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Humberto's rectangular backyard measures (x + 6) meters long and (2x - 1) meters wide. To determine the perimeter of the backyard, we need to add up the lengths of all the sides.

The perimeter of a rectangle is given by the formula: P = 2l + 2w, where P represents the perimeter, l represents the length, and w represents the width.

In this case, the length of the backyard is (x + 6) meters, and the width is (2x - 1) meters. Substituting these values into the formula, we get:

P = 2(x + 6) + 2(2x - 1)

= 2x + 12 + 4x - 2

= 6x + 10

Therefore, the perimeter of Humberto's backyard is 6x + 10 meters.

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The resulting ratio is 1:5:8, which indicates that the simplest formula of the compound is XY₅Z₈.

Given:

Moles of element X: 0.309 mol

Moles of element Y: 1.545 mol

Moles of element Z: 2.472 mol

To find the simplest formula, we need to divide the number of moles of each element by the smallest number of moles among them.

In this case, 0.309 mol is the smallest number of moles.

Moles of element X: 0.309 mol / 0.309 mol = 1

Moles of element Y: 1.545 mol / 0.309 mol = 5

Moles of element Z: 2.472 mol / 0.309 mol = 8

Thus, the resulting ratio is 1:5:8, which indicates that the simplest formula of the compound is XY₅Z₈.

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The shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

What is a normal distribution?

A normal distribution is a function on some random variables, which represent the set of all those random variables in a symmetrical bell shape about the mean value.

It shows that the probability of occurrence of some data which is distributed over a function is more at or around the mean.

It is also known as probability distribution curve.

The normal distribution has two parameters:

What is the shape of the normal distribution?

The normal distribution curve is at it's peak at the mean value. This shows that the probability of occurrence of the data or value is more concentrated or distributed about the mean. It is also symmetric about the mean. As we more further from the mean, we see that the normal distribution curve gradually decreases showing that the probability of occurrence of the data or the values decreases. The shape that this curve forms is like a bell-shaped. So the shape of normal distribution is bell shape.

Hence, the shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

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The size of the sample space is 4.

The size of the sample space would be 2^9 = 512.

The size of the sample space would be 2^n.

When tossing a coin 2 times, the sample space consists of all possible outcomes from each toss. Since each toss can result in either heads (H) or tails (T), the sample space would be {HH, HT, TH, TT}.

When tossing a coin 9 times, the sample space consists of all possible outcomes from each toss. Since each toss can result in either heads (H) or tails (T), there are 2 possibilities for each toss.

When tossing a coin n times, the sample space consists of all possible outcomes from each toss. Since each toss can result in either heads (H) or tails (T), there are 2 possibilities for each toss.

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The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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Step-by-step explanation:

the picture shows the answer step by step. make sure to ask if you need any further guidance.

Answer:

-2

Step-by-step explanation:

\( {8}^{x + 2} = {32}^{2x + 4} \)

You need to write this in exponential form with the base of 2:

\( {2}^{3x + 6} = {2}^{10x + 20} \)

Then you need to set the exponent s equal:

\(3x + 6 = 10x + 20\)

Now we just need to solve it. :)

\(3x - 10x = 20 - 6\)

\( - 7x = 14\)

\(x = - 2\)

That's it. :)

The written form of the expression of (4 × 10 ) + ( 3 × 1/100)+(5×1/1000) is given as 4.035.

A standard form of a number is known to be the used in writing the number in a way that follows a specific rules.

Therefore, The written form of the expression of (4 × 10 ) + ( 3 × 1/100)+(5×1/1000) is given as 4.035.

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Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).

Answer:

17

Step-by-step explanation:

5 + 6 - 5 + 4 +7 - 3 + 6 - 3 = 5 + 6 + 4 + 7 + 6 - 5 - 3 - 3

                                          = 28 - 11

                                          = 17

Answer 17

Step-by-step explanation:

5+6=11-5=6+4=10+7=17-3=14+6=20-3=17

Values of parameters n and p for the binomial distribution with mean 6 and variance 3.6 are n=15 and p=0.4, respectively.

In probability theory and statistics, the binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent and identical trials, where each trial can result in only two possible outcomes, often labeled as "success" and "failure".

The distribution depends on two parameters: the probability of success (p) and the number of trials (n). The probability of getting exactly k successes in n trials can be calculated using the binomial probability mass function.

The binomial distribution has applications in various fields, including quality control, genetics, and finance, among others.

We know that for a binomial distribution, the mean and variance are given by:

Mean = np

Variance = np(1-p)

Substituting the given values, we have:

Mean = 6

Variance = 3.6

Thus, we can write two equations:

6 = np

3.6 = np(1-p)

We can solve for n and p by substituting the first equation into the second equation:

3.6 = (6/p) * (1-p) * p

3.6 = 6 - 6p

6p = 6 - 3.6

p = 0.4

Substituting this value of p into the first equation, we get:

6 = n * 0.4

n = 6 / 0.4

n = 15

Therefore, the values of the parameters n and p are n = 15 and p = 0.4, respectively.

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The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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Answer: x=-1 because when using substitution the equation can be converted to (3x=-5-2x)=5x=-5.

Hope this helps.

Answer:

x=-1

Step-by-step explanation:

10+3x=5-2x

get all like terms on one side by subtracting the 10 to the right and adding 2x to the left

3x+2x= -5

5x=-5

divide by 5 to get x alone

x=-1

Answer: 163.6363...

Step-by-step explanation:

44% of c is 72, so then \(0.44*c=72\\\).

Divide both sides by 0.44 to solve for c, and you get c=163.6363...

Tip: if you are ever trying to figure out what a number is a percentage of, like in this problem, just divide the number by the percent in decimal form.

To calculate the z-score, the formula is: z-score = (x - μ)/σ, where x is the value, μ is the mean, and σ is the standard deviation. Once the z-score is calculated, it can be used to look up the area, or probability, in the table.

A unit normal table is a type of probability table that is used to determine the area, or probability, under the normal curve. It is based on the standard normal probability distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. To use the unit normal table, one first needs to calculate the z-score, which is the number of standard deviations away from the mean a given value is. To calculate the z-score, the formula is: z-score = (x - μ)/σ, where x is the value, μ is the mean, and σ is the standard deviation. Once the z-score is calculated, it can be used to look up the area, or probability, in the table.

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Answer:

1000

Step-by-step explanation!

The formula for the amount accrued [ƒ(x)] on an investment earning compound interest is f(t) = P(1 + r)^t where:

P = the amount of money invested (the principal)

r = the interest rate per payment period expressed as a decimal fraction

t = the number of periods

Your formula is

f(x) = 1000(1 + 0.05)^x

In comparison, we can see that the term that represents the amount of money originally invested is 1000.

Answer:

(A) 1,000

Step-by-step explanation:

i just took the test

Answer:

£5.98

Step-by-step explanation:

Using the conversion

1 Kg = 1000g, then

650g = 650 ÷ 1000 = 0.65 Kg

Thus the cost of 650g = 0.65 × £9.20 = £5.98

the area of the shaded regions of all circles in terms of pi is a = 253.42 in², a = 215.98 yd², a = 25.13 ft², a = 201.06 yd² and a = 64.14 ft² respectively.

What is the shaded region?

The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon. The area of the shaded part can occur in two ways in polygons. The shaded region can be located at the center of a polygon or the sides of the polygon.

The formula for calculating the area of a shaded segment of a circle is:

a = π ∗ r² ∗ angle/360

The area of the sector depends on the radius of the circle r and the measure of the angle t.

The area of a sector for angle t is  A = t/360 ⋅ π ⋅ r²

We have given the figures with their radius and shaded region angles,

In the first figure:

radius r =  11 in and  shaded region angle = 260°

so, a = π ∗ r² ∗ angle/360

a = π ∗ (11)² ∗ 260/360

a =  π ∗ 121 ∗ 2/3

a = 253.42 in²

In the second figure:

radius r =  15 yd and  shaded region angle = 110°

so, a = π ∗ r² ∗ 110/360

a = π ∗ (15)² ∗ 110/360

a =  π ∗ 225 ∗ 11/36

a = 215.98 yd²

In the third figure:

radius r =  6 ft  and  shaded region angle = 80°

so, a = π ∗ r² ∗ 80/360

a = π ∗ (6)² ∗ 80/360

a =  π ∗ 36 ∗ 2/9

a = 25.13 ft²

In the fourth figure:

radius r =  16 yd  and  shaded region angle = 90°

so, a = π ∗ r² ∗ 90/360

a = π ∗ (16)² ∗ 90/360

a =  π ∗ 256 ∗ 1/4

a = 201.06 yd²

In the fifth figure:

radius r =  7 ft  and  shaded region angle = 150°

so, a = π ∗ r² ∗ 150/360

a = π ∗ (7)² ∗ 150/360

a =  π ∗ 49 ∗ 5/12

a = 64.14 ft²

Hence, the area of the shaded regions of all circles in terms of pi is a = 253.42 in², a = 215.98 yd², a = 25.13 ft², a = 201.06 yd² and a = 64.14 ft² respectively.

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Answer:

1. No solutions

2. One solution

3. No solutions

4. Infinitely Many

Step-by-step explanation:

Answer

The answer is (m = 9)

Step-by-step explanation:

Rearrange terms = Step 1

0.4(20-10m) = 2.5 - 2m-12.5

0.4(-10m+20) = 2.5 - 2m - 12.5

Step 2 = Combine multiplied terms into a single fraction

Step 3 = Distribute

Step 4 = Subtract the numbers

Step 5 = Rearrange terms

Step 6 = Add 2m to both sides

Step 7 = Simplify

Step 8 = Multiply all terms by the same value to eliminate fraction denominators

Step 9 = Cancel multiplied terms that are in the denominator

Step 10 = Multiply the numbers

Step 11 =Subtract 40 from both sides

Step 12 = Simplify

Step 13= Divide both sides by the same factor

Last but not least is Simplify

Hope it helped:)

The largest open interval on which f is the antiderivative for f is called the indefinite integral of f, and it is denoted by ∫f(x)dx. This interval can be determined by finding all the antiderivatives of f and then taking the union of their domains. Note that the antiderivative of f is not unique, as it can differ by a constant, so the indefinite integral of f is only determined up to an arbitrary constant.
To find the largest open interval on which a function f is the antiderivative for f', we'll first need to know the function f' (the derivative of f). However, you didn't provide the function f' in your question.

To give you a general idea of how to approach this problem, follow these steps:

1. Given the function f'(x), find the critical points by setting f'(x) equal to 0 and solving for x.
2. Determine the intervals based on the critical points.
3. Check the behavior of f'(x) in each interval to see where it's continuous and increasing.
4. The largest open interval on which f is the antiderivative for f' will be the interval in which f'(x) is continuous and increasing.

If you provide the function f'(x), I can help you find the largest open interval for the antiderivative.

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Based on the information provided, x may be represented by the number 20.

You would need to have access to information about the routines and activities of a group of individuals in order to estimate the number of persons who do not run or lift weights.

This information could be gathered through a survey, a questionnaire, or another information-gathering technique. Once you have the information, you can use it to do an analysis to discover how many people do not partake in any of these activities.

Based on the information provided, x may be represented by the number 20. For those who do not run and do not exercise weights will be:

= 65 - 40

= 25

As a result, the value of those who decide not to run will be as follows:

= 125 - 75

= 45

As a result, the worth of the persons represented by x who do not run or lift weights will be:

= 45 - 25

= 20

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Answer:

Sample response: Yes, you can determine the number of people who do not run or lift weights by first finding that 55 people do not lift weights, and that 35 people run, but do not lift weights. Subtracting 35 from 55, you get that 20 people do not do either.

Step-by-step explanation:

edge 2023

Answer:

It will be facing or pointing up

Step-by-step explanation:

Answer:

South.

Step-by-step explanation:

270°=3/4 turn clockwise, since 1/4 turn=90°.

Answer:

open circle on negative 10 with the arrow going to the right. one trick is when the variable is on the left the inequality sign points to where the arrow will go and > is open circle > with a line under is closed circle

Analyze each statement to see if it is supported by the dot plots or not.

A) More time is spent on homework than exercise.

Find the total time spent on each activity to compare

Answer:

c and d are monomial because they have only one term

An angle on a straight line is 180 degrees

 ⇒ this angel is made up of two angles with measures

   ⇒ 'x-7' and '57'

     ⇒ when these two angles are added up they are equal to the larger

          angle that is 180 degrees in measure

Let's set up a mathematical equation based on the information and deduction:

  \((x-7)+57=180\\x-7+57 = 180\\x + 50=180\\x = 130\)

Answer: The value of x is 130

Hope that helps!

Given,

The coordinates of the point (-2, 8), (6,2), (-2, -12) and (6, -6).

Required

The composition required that is applied to to obtain .

The graph of the points are,

From the graph it is clear seen that

Reflect across the x axis and translate 4 units down.

Hence, Reflect across the x axis and translate 4 units down.

Answer:

x = 4.08

Step-by-step explanation:

3x = 12.25

3/3x = 12.25/3

x = 4.0833..

x is about 4.08

Answer:

4.08

Step-by-step explanation:

12.25 / 3 = 4.0833333333333 and round

The unit of measure that represents a metric unit dosage of strength is the gram (a).

In the metric system, the gram is the standard unit for measuring mass or weight. It is commonly used in the healthcare field to quantify the amount or dosage of medication or drug strength.

Medications are often prescribed and administered in specific gram amounts, indicating the quantity of the active ingredient in the medication. For example, a doctor may prescribe a medication dosage of 500 milligrams (mg), which is equivalent to 0.5 grams.

On the other hand, grains (b), ounces (c), and tablespoons (d) are not typically used as metric units of measure for medication dosage strength. Grains are more commonly used in the imperial system, especially in the United States, to measure the weight of medications. Ounces and tablespoons are used to measure volume or liquid medications rather than dosage strength.

In the context of metric unit dosage strength, the gram is the most appropriate and commonly used unit of measure.

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