PLEASE answer as soon as you can! First correct answer will get BRAINLIEST!!! :)

\(\huge\text{Hey there!}\)

\(\large\boxed{\mathsf{m^2 - 5m - 4}}\\\large\boxed{\mathsf{= 6^2 - 5(6) - 4}}\\\large\boxef\large\boxed{\mathsf{= 36 - 30 - 4}}}\\\large\boxed{\mathsf{= 6 - 4}}\\\large\boxed{= \textsf{2}}}\\\huge\boxed{\text{Therefore, your answer is: \textsf 2}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment and enjoy your day!}\)

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After simplification, the value of y is 7 when x=9.

In the given question, if y varies inversely as x and y=3 when x=21, find y when x=9.

From the given question y varies inversely as x i.e.

y ∝ 1/x

When we remove the inversly sign then their is one variable should be added. Let the variable should be k.

Now the expression is

y = k/x

As we know that y=3 when x=21.

Now putting the value.

3 = k/21

Multiply by 21 on both side, we get

k = 3*21

k = 63

Now the value of k is 63.

Now finding the value of y when x=9

y = 63/9

y = 7

Hence, the value of y is 7 when x=9.

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Answer:

3500

Step-by-step explanation:

1600-12500=3500

3500/12500*100% = 28%

so the percentage profit is 28%

Only one singlet is expected in the 1H NMR spectrum of 2,2,4,4-tetramethylpentane. So, correct option is A.

In the 1H NMR spectrum, the number of singlets corresponds to the number of unique hydrogen environments in the molecule. Each unique hydrogen environment, where the hydrogens are chemically equivalent, will produce a singlet peak.

In 2,2,4,4-tetramethylpentane, all the carbons are identical, and each carbon is bonded to three hydrogen atoms. The four methyl groups (-CH3) are also chemically equivalent to each other. Therefore, all the hydrogens in this molecule are in equivalent environments, and there are no differences between them.

Since all the hydrogens are chemically equivalent, they will produce a single peak in the 1H NMR spectrum. This single peak is called a singlet.

Hence, the correct answer is option a, as only one singlet is expected in the 1H NMR spectrum of 2,2,4,4-tetramethylpentane.

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Answer: Two singlets.

Step-by-step explanation:

The methyl groups are all equivalent with no neighbors, so they all give rise to only 1 peak.

There is a methylene group that gives rise to another peak.

So the total is 2 singlets.

Answer:

\(x = 77 - 2y\)

\(y = \frac{77 - x}{2}\)

Step-by-step explanation:

Given

\(2x + 4y - 31 = 123\)

Required

Solve for x and for y

\(2x + 4y - 31 = 123\)

Add 31 to both sides

\(2x + 4y - 31+31 = 123+31\)

\(2x + 4y = 154\)

Solving for x

Subtract 4y from both sides

\(2x + 4y - 4y = 154 - 4y\)

\(2x = 154 - 4y\)

Divide by 2

\(x = 77 - 2y\)

Solving for y

\(2x + 4y = 154\)

Subtract 2x from both sides

\(2x - 2x + 4y = 154 - 2x\)

\(4y = 154 - 2x\)

Divide by 4

\(y = \frac{154 - 2x}{4}\)

Split

\(y = \frac{77 - x}{2}\)

There are many possible answers for this.

One example is below.

S = the number of stations included when a person orders basic cable, write an expression for the number of stations a person has if he ordered basic cable and 7 premium channels.

We can represent this as s + 7.

The value that we don't know is the number of

stations included when a person orders basic cable.

So we can represent that as s.

Then, since the person ordered 7 premium channels, that means he

is adding an additional 7 channels to his basic cable plan.

So we can represent this as s + 7.

Answer:

a number plus 7

Step-by-step explanation:

s+7

Let s represent an unknown number

a number plus 7

False. In statistical process control (SPC), the mean and the standard deviation serve different purposes and are not interchangeable.

The mean, often denoted as μ, represents the central tendency or average of a set of data points. It provides information about the typical or expected value of the process under consideration.

The mean is commonly used as a reference point in SPC to monitor and control the process performance. Control charts, which are a fundamental tool in SPC, typically plot the mean of the process data over time to detect any shifts or trends.

On the other hand, the standard deviation, often denoted as σ, is a measure of the dispersion or variability of the data points around the mean. It provides insights into the spread or consistency of the process. The standard deviation is not used as a substitute for the mean in SPC; rather, it is used to calculate control limits on control charts.

Control limits help identify when the process is exhibiting unusual variation that may indicate a special cause or a deviation from the desired performance.

In summary, the mean and the standard deviation are distinct statistical measures, each with its own role in SPC. They provide complementary information and should not be used interchangeably.

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The solution to the value of x is 5 < x < 15

A triangle is a shape that has 3 sides and angles. According the triangle rule, the sum of any two sides of a triangle is equal to the third.

From the given triangle shown;

15+x > 20 + 15 > 20 + x

Simplify

15+x > 20

x > 20 - 15

x > 5

Also;

20+15 > 20 + x

35 > 20 + x

35 - 20 >x

x < 15

Hence the solution to the value of x is 5 < x < 15

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Answer:

12.21 m

Step-by-step explanation:

Remember Pathagorean Theorem states that \(a^{2} + b^{2} = c^{2}\)

Whats important to know is that c is always the hypotenuse, so in this case the unknown.

a = 7

b = 10

c = ?

Plug in these values for the equation above:

\(7^{2} + 10^{2} = c^{2}\)

Simplify:

49 + 100 = \(c^{2}\)

149 = \(c^{2}\)

Cancel out the power by taking the square root of both sides:

\(\sqrt{149} = \sqrt{c^{2}}\)

c = 12.21 m

The total distance covered by catherine is 10 miles as the problem says, " Catherine drives to school each day and lives 5 miles away. After school, she drives to Kroger , which is 2 additional miles away from her house. Then she heads home and studies for a test before having dinner".

Distance is defined as an object's total movement without regard for direction. Distance can be defined as how much ground an object has covered regardless of its starting or ending point. The magnitude or size of displacement between two positions is defined as distance. The distance between two points differs from the distance traveled between them. The total length of the path traveled between two points is referred to as the distance traveled. Travel distance is not a vector. Distance refers to "how much ground an object has covered" while moving, whereas displacement refers to how far an object is out of place. Displacement is a Vector quantity, whereas distance is a Scalar quantity.

Here,

The total distance from home to school=5 miles

She goes to kroger that is 2 miles from her home,

so, 5-2=3 miles

So she travels 3 miles back from school.

Then she goes 2 miles from kroger to home.

5+3+2=10 miles

According to the problem, Catherine's total distance traveled is 10 miles "Catherine lives 5 miles away and drives to school every day. She drives to Kroger after school, which is two miles away from her house. She then returns home to study for a test before eating dinner ".

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Answer:

c. outsourcing

Step-by-step explanation:

just didbthat

Answer:

b

Step-by-step explanation:

because it shows it talks about factor

Using the elimination method, the solution to the system of linear equations is: x = 4.5 and y = -5.

Solving a system of linear equations by elimination involves eliminating one of the variables, then solve to find the other variable.

Given the equations:

6x + 5y = 2 --> eqn. 1

4x + 2y = 8 --> eqn. 2

Multiply eqn. 1 by 2 and eqn. 2 by 5:

12x + 10y = 4 --> eqn. 3

20x + 10y = 40 --> eqn. 4

Subtract

-8x = -36

x = 4.5

Substitute x = 4.5 into eqn. 2

4(4.5) + 2y = 8

18 + 2y = 8

2y = 8 - 18

2y = -10

y = -5

The solution is: x = 4.5 and y = -5.

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By using the concept of Compound interest, Number of payment periods in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually = 12

What is Compound interest?

The interest earned on savings that is calculated using both the initial principal and the interest accrued over time is known as compound interest. It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a sum more quickly than simple interest, which is only calculated on the principal sum. Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

This problem can be solved by using the concept of compound interest

Number of  payment periods are in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually = \(6 \times 2 = 12\)

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Therefore, you have 25 dogs at the shelter.

Answer:

25

Step-by-step explanation:

We can take our ratio of 3:5 and multiply it by 5 to give us the number of cats we have. We get 15:25. Meaning we have 25 dogs.

Answer:

10lbs. for $10.25

Step-by-step explanation:

To find the derivatives of the given expressions, we can apply the chain rule, which states that the derivative of a composition of functions is equal to the derivative of the outer function multiplied by the derivative of the inner function.

(a) To find the derivative of f(g(x)), we start by differentiating the outer function f with respect to the inner function g(x), and then multiply it by the derivative of the inner function g(x) with respect to x.

df/dx = df/dg * dg/dx

df/dx = cos(g(x)) * (2x)

(b) To find the derivative of g(f(x)), we differentiate the outer function g with respect to the inner function f(x), and then multiply it by the derivative of the inner function f(x) with respect to x.

dg/dx = dg/df * df/dx

dg/dx = 2f(x) * cos(x)

Hence, the derivatives are:

(a) d/dx(f(g(x))) = cos(g(x)) * (2x)

(b) d/dx(g(f(x))) = 2f(x) * cos(x)

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Answer:

29.13

Step-by-step explanation:

29.1333

29.13

The quotient of the given division nearest to the hundredth is 29.133

Division is defined as the splitting of a large group into smaller groups such that every group will have an equal number of items.

Now the given division is,

437 ÷ 15

Using long division method,

    29.1333

15| 437

  - 30

     137

   - 135

         20

       - 15

           50

         - 45

              50

            - 45

                5

hence the quotient we get is 29.1333...

To round of to the nearest hundredth,

Since digit to the right of 3 is less than 5

So, the remainder nearest to the hundredth is 29.133.

Thus,The quotient of the given division nearest to the hundredth is 29.133.

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Step-by-step explanation:

Let's see. f(4) makes the divisor x-4

4|-2 9 -6 7

| 8 -68 296

-2 17 -74 2072

The quotient is -2x²+17x-74 with a remainder of 2072

Since U is an open neighborhood of x that contains only points that are not limit points of e, it is entirely contained in the complement of e'. As every point in the complement of e' has an open neighborhood that is also contained in the complement, the complement of e' is open. Therefore, e' is closed.

Consider a point x in the complement of e'. This means that x is not a limit point of e. By definition, a limit point of a set is a point where every open neighborhood around it contains at least one point from the set, different from itself. Since x is not a limit point, there exists an open neighborhood U around x that does not contain any other points from e.
Now, let's show that U is entirely contained in the complement of e'. For any point y in U, it must also have an open neighborhood V such that V does not contain any points from e other than y (if y is in e). If y is not in e, then V can be chosen such that it does not contain any points from e. In both cases, y is not a limit point of e.
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The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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When the null hypothesis is true as an equality, the probability of committing a type I error is denoted by α and it is equal to the significance level.

A null hypothesis is a type of hypothesis used in statistics that proposes that no statistical significance exists in a series of given observations. The null hypothesis is a hypothesis that implies that no statistical significance exists in a set of given observations. It is the default assumption in which one begins. In null hypothesis testing, the null hypothesis is typically the statement that there is no difference between two measured phenomena.Type I errorWhen the null hypothesis is correct and we reject it, a Type I error occurs. A type I error, also known as a false positive, occurs when the null hypothesis is rejected when it is true. In other words, the null hypothesis (H0) is correct, but we reject it. A type I error can occur when testing a statistical hypothesis because statistical tests involve a probability of making a mistake.

The null hypothesis is accepted if the value obtained from the test statistic falls within the range of the null distribution. If the test statistic falls outside of the range of the null distribution, the null hypothesis is rejected in favor of the alternative hypothesis. The decision to reject or accept the null hypothesis is based on the comparison of the test statistic to the critical value.

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The next proportion must be satisfied

Replacing with data,

Using quadratic formula,

The negative answer has no sense in this problem, then the length of TG is 3.

Answer:

4: yellow ball = 1/7 or 14.29%

Orange ball = 12/35 or 34.3%

5: 1/5 or 20% for both

6: white = 1/7 or 14.29%

red = 6/35 or 17.14%

yellow = 1/7 or 14.29%

Step-by-step explanation:

To find probability you take the amount of the object you are given (x) over the total amount (T) then times by 100. (X/T) * 100 = % of probability

So for yellow you take 5/35 which equals 1/7 or 0.1429....then you times it by 100 which gives you the 14.29%.

Red = 6/35=0.1714 * 100 = 17.14%

orange = 12/35 = 0.343 * 100 = 34.3%

Black = 7/35 = 0.2 * 100 = 20%

White = 5/35 = 0.1429 * 100 = 14.29%

Answer:

Mother is presently 34

Scott is 11

Step-by-step explanation:

Let the mother's age = x

Let the son's age = y

First Equation

x + y = 45

Second equation

3*(x + 5) - 9 =  y+5                Add 9 to both sides

3(x + 5) = y + 5 + 9

3(x + 5) = y + 14                    Remove the brackets

3x + 15 = y + 14                    Subtract 14 from both sides

3x + 15 - 14 = y

3x + 1 = y

Put the first equation into the second equation

x + y = 45                             Subtract y from both sides

y = 45 - x

Put this value for y into the second equation's results.

3x + 1 = 45 - x                       Add x to both sides

3x + x + 1 = 45                    

4x + 1 = 45                            Subtract 1 from both sides

4x = 45 - 1

4x = 44                                Divide by 4

x = 44/4

x = 11

x + y = 45

11 + y = 45

y = 34

The most appropriate method of integration that should be used to solve the integral ∫3x eˣ dx is Integration by parts.

The given integral is,

∫3x eˣ dx

∫3x eˣ dx is the given integral.

This can be written as,

∫3x eˣ dx = 3 ∫x eˣ dx

Here there are two functions x and eˣ to be integrated.

One of them is exponential function.

When we want to integrate two functions especially of which one of them is exponential or logarithmic, then the most appropriate method used to find the integral is integration by parts.

Hence the correct option is Integration by parts.

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Answer:

101

Step-by-step explanation:

Answer:101

Step-by-step explanation:

The marginal revenue when 100 units are sold is approximately $17.12. Selling one additional unit at this point would yield approximately $17.12 in additional revenue.

To find the marginal revenue, we first need to find the derivative of the total revenue function with respect to x, which is the definition of marginal revenue:

R(x) = 2200x/(ln(9x+9))

Using the quotient rule, we get:

R'(x) = (2200(ln(9x+9)) - 2200x(1/(9x+9))(1/(9x+9)))/(ln(9x+9))^2

Simplifying this expression, we get:

R'(x) = 2200(9x)/(9x+9)^2ln(9x+9)^2

Substituting x=100, we get:

R'(100) = 2200(9(100))/((9(100)+9)^2ln(9(100)+9)^2 = $9.77 (rounded to the nearest cent).

Interpretation: The marginal revenue when 100 units are sold is $9.77. This means that selling one additional unit of the product will increase the total revenue by approximately $9.77.

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Complete question:

The total revenue, in dollars, from the sale of x units of a product is given by R(x)=2200x/(ln(9x+9)). Find the marginal revenue when 100 units are sold. (Round your answer to the nearest cent.) Interpret your result.

We are given a regression model: test score = 800 - 8(student-teacher ratio)

If the student-teacher ratio drops by 2, then the new ratio is (old ratio - 2).

So, the new predicted test score is:

test score = 800 - 8(new ratio)

          = 800 - 8(old ratio + (-2))

          = 800 - 8(old ratio) - 8(-2)

          = 800 - 8(old ratio) + 16

Therefore, the predicted effect on the test score is an increase of 16 points.

So, the answer is (d) the test score will increase by 16 points.

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V=πr2h

3=π·26.392·14

3≈10210.22786
10210.23