what is
-5x-2y=-40
y=2x+2

The revenue that goes to Gate Company after applying the royalty rate is $3,000,000.

To calculate the revenue that goes to Gate Company, we need to consider its working interest (WI) and the royalty rate.

Given that Bear Oil Company has an 80% working interest (WI) and Gate Company has a 20% WI, we can determine the portion of the production and revenue allocated to each company.

First, we calculate the production share for Gate Company:

Production share = 20% (WI of Gate Company) * 500,000 barrels (total production) = 100,000 barrels

Next, we calculate the revenue share for Gate Company:

Revenue share = Production share * Sales price = 100,000 barrels * $60 = $6,000,000

Finally, we calculate the revenue that goes to Gate Company after applying the royalty rate:

Revenue to Gate = Revenue share - Royalty

Royalty = Revenue share * Royalty rate = $6,000,000 * 10% = $600,000

Revenue to Gate = $6,000,000 - $600,000 = $3,000,000

Therefore, the revenue that goes to Gate Company is $3,000,000.

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Answer:

Undefined or original dividend

Step-by-step explanation:

Anything divided by zero is undefined or the original dividend

If you have 8 items and you split them into zero groups you have nothing

Confounding may invalidate the conclusions of the study as it can cause a bias that can make the effect of the explanatory variable look larger or smaller than it actually is.

This means that the relationship between alcohol drinking status and incidence of lung cancer is influenced by  After the classification of smokers and non-smokers, a separate analysis can be done to find the effect of alcohol drinking on lung cancer in both groups.

Explanatory and Confounding Variable in the study :In the given study, the explanatory variable is obesity and the response variable is coronary disease. Whereas, the confounding variable is hypertension and diabetes because these diseases are associated with obesity. The confounding variable can invalidate the conclusions of the study as it can affect the relationship between obesity and coronary disease .To eliminate the effect of the confounding variable, the study can be changed in the following ways.

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Answer:

10 more shawties

Step-by-step explanation:

30-20 = 10

John is likely to choose a root beer from the cooler 5/27 times, or 18.5% of the time.

p(root beer)=5/27=18.5%

John is likely to choose a root beer from the cooler 5/27 times, or 18.5% of the time. Divide the number of root beers in the cooler (five) by the total number of things in the cooler to arrive at this calculation (27). In this instance, the cooler is filled with 12 Coke cans, 10 water bottles, and 5 root beers. Hence, there are 27 things in the cooler, and the likelihood that John will choose a root beer is 5/27. By dividing the fraction by 100, this figure can be stated as a percentage, giving the answer of 18.5%.Hence, John has an 18.5% chance of grabbing a root beer from the cooler.

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Answer:

perimeter = 10m - 5 + 6m - 2 + 8n + 4

                = 16m -7 + 8n + 4

                 16m + 8n -3

option 2

The expression represents the perimeter of the triangle will be 16m + 8n - 3. Then the correct option is B.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The sum of all the sides of the triangle will be known as the perimeter of the triangle.

A triangle has side lengths of (10m - 5) centimeters, (6m - 2) centimeters, and (8n + 4) centimeters.

The expression represents the perimeter of the triangle will be

P = (10m - 5) + (8n + 4) + (6m - 2)

P = 16m + 8n - 3

The expression represents the perimeter of the triangle will be 16m + 8n - 3. Then the correct option is B.

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hope it helps you

can you brainlest me

Answer:

75 miles per hour

Step-by-step explanation:

In order to find the answer, you have to use the formula to calculate the speed:

s=d/t

s=speed

d=distance traveled= 900 miles

t=time elapsed= 12 hours

Now, you can replace the values in the formula:

s=900 miles/ 12 hours

s=75 miles per hour

According to this, the answer is that the average speed during the trip was 75 miles per hour.

Answer:

\(\displaystyle m=\frac{3}{2}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (2, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

28.05

Step-by-step explanation:

The probability that only one bus will arrive within a thirty-minute period is 0.0337

We can model the arrival of shuttle buses as a Poisson process with a rate of λ= 10 buses per hour. Since we want to find the probability of only one bus arriving within a 30-minute period, we need to calculate the Poisson probability mass function for  λ = 5 (since 30 minutes is half an hour):

P(X=k) =  ( λ^k × e^- λ ) / k!

where X is the number of shuttle buses arriving within the 30-minute period

k is the number of buses, which in this case is 1.

Substituting the values, we get:

P(X = 1) = ( 5^1 × e^-5 ) / 1!

≈ 0.0337

Therefore, the probability is 0.0337

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W and is orthogonal to all vectors in W except itself, we have shown that any vector in Rn can be written as a linear combination of the n non-zero orthogonal vectors that span W, and hence W=Rn.

To show that W=Rn, we need to show that any vector in Rn can be written as a linear combination of the n non-zero orthogonal vectors that span W.

Let v be any vector in Rn. Since the n non-zero orthogonal vectors span W, we can write v as a linear combination of them:

v = c1v1 + c2v2 + ... + cnvn

where c1, c2, ..., cn are scalars, and v1, v2, ..., vn are the n non-zero orthogonal vectors that span W.

To show that v is in W, we need to show that v is orthogonal to all vectors in W except itself. Since the n non-zero orthogonal vectors are linearly independent, any linear combination of them that is orthogonal to v must be the zero vector.

Therefore, if w is any vector in W that is not equal to v, we have:

=  = c1 + c2 + ... + cn = 0

since v is orthogonal to all the non-zero orthogonal vectors. This means that v is orthogonal to all vectors in W except itself.

Therefore, since v is in W and is orthogonal to all vectors in W except itself, we have shown that any vector in Rn can be written as a linear combination of the n non-zero orthogonal vectors that span W, and hence W=Rn.

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Select all expressions that are equal to 5/8.

Let's review each option one by one.

Option A

Thus, Option A is correct.

Option B

Thus, Option B is incorrect.

Option C

Thus, Option C is incorrect.

Option D

Thus, Option D is correct.

Option E

Thus, Option E is incorrect.

It can be deduced that the mean age is substantially different from 24 at the.05 level of significance.

If the average student age is not substantially different from 24 years, then the null hypothesis is tested, which is:

\(H_{0}\) : μ = 24

If it differs from 24 years, the alternative premise is tested, so:

\(H_{1}\) :  μ ≠ 24

The z-distribution is utilized because we have the population's standard deviation. The test statistic comes from:

z = x -  μ÷ σ/\(\sqrt{n}\)

The parameters in this issue have the following values:

x(mean) = 25

μ = 24

σ = 2

n=16

As a result, the test statistic's value is:

z = 25-24÷ 2/\(\sqrt{16}\)

z = 2

The probability of a sample mean older than 25 years determines the test's p-value, which is 1 less than the p-value of z = 2.

The p-value for z = 2 in the z-table is 0.9772; 1 - 0.9772 = 0.0228.

Given that the test's p-value is 0.0228 0.05, we may say that:

It can be deduced that the mean age is substantially different from 24 at the.05 level of significance.

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The least number of deliveries Jake must make to reach his goal is 14.

To determine the least number of deliveries Jake must make to earn more than $310 in an 8-hour workday, we can set up an inequality.

Let's assume Jake makes "x" deliveries in addition to working 8 hours. His earnings from the hourly wage would be 8 ˣ $18 = $144. The additional earnings from the deliveries would be $12 ˣ x.

To reach his goal of earning more than $310, we can set up the inequality:

$144 + $12 * x > $310

Simplifying the inequality, we get:

$12 ˣ x > $310 - $144

$12 ˣ x > $166

Dividing both sides of the inequality by $12, we find:

x > $166 / $12

x > 13.83

Since we can't have a fraction of a delivery, the least number of deliveries Jake must make to reach his goal is 14 deliveries.

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By using first principle, the value of Dy/Dx is,

⇒ Dy/Dx = - 7 / x²

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ y = 7 / x

Now, Differentiate the function with respect to x, we get;

⇒ y = 7 / x

⇒ Dy/ Dx = D / Dx (7 / x)

                = 7 D/Dx (1/x)

                = 7 (- 1 × x⁻¹⁻¹ )

                = 7 (- x⁻²)

                = - 7 / x²

⇒ Dy/Dx = - 7 / x²

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The value that is equivalent is -7/4. Option C

A fraction is simply defined as the part of a whole number, a whole variable or a whole element.

The different types of fractions are;

From the information given, we have that;

3(1/4-2) + |-7|

find the lowest common multiple, we get;

3(1 - 8 /4) + 7

expand the bracket, we get;

3(-7/4) + 7

-21/4 + 7

-21 + 28/4

-7/4

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The complete question:

Which value is equivalent to the expression shown? 3(1/4-2) + |-7| is:

a. 7/4

b.7/2

c. -7/4

d. -7/2

The given sequence is a recursive sequence. Hence -2, 9, -24, 75 is the first four terms of the sequence.

The given sequence is a recursive sequence, where each term is defined in terms of the previous term. Here, each term is obtained by multiplying the previous term by -3 and adding 3. The first term, a1, is given. Using this, we can find the second term, a2, and then using a2, we can find a3, and so on.

Given: an = -3an-1 + 3 and a1 = -2

To find: the first four terms of the sequence

a1 = -2

a2 = -3a1 + 3 = -3(-2) + 3 = 9

a3 = -3a2 + 3 = -3(9) + 3 = -24

a4 = -3a3 + 3 = -3(-24) + 3 = 75

Therefore, the first four terms of the sequence are: -2, 9, -24, 75.

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Answer:

answer is ABCD

Step-by-step explanation:

I took the quiz

The probability that she succeeds at 10 or more free throws in a sample of 12 free throws is 4/5.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

The probability that Shruti succeeds at any given free throw is 80%. She was curious how many free throws she can expect to succeed in a sample of 12 Free-throws. She simulated 25 samples of 12 free throws where each free throw had a 0.8 probability of being a success.

The probability that she succeds at 10 or more free-throws in a sample of 12 free-throws is estimated from  the simulation with 25 samples of 12 free-throws:

=  number of times she succeded at 10 or more free-thrown /number of trials

The number of times she succeeded at 10 or more free throws is equal to the sum of the number of times she succeeded at 10 + the number of times she succeeded at 11 + the number of times she succeeded and 12 free throws.

9 + 9 + 2 = 20

The number of trials is 25.

Probability (10 or more successes) = 20/25 = 4/5

Hence, the probability that she succeeds at 10 or more free throws in a sample of 12 free throws is 4/5.

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irrational numbers

Step-by-step explanation:

Because that are not rational numbers which cannot be represented as fraction

The appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.

The appropriate measure of variation (spread) for these data is the standard deviation. Standard deviation is a measure of how much the data values vary from the mean (average) of the data set. It is calculated by taking the square root of the variance, which is the average of the squared differences between each data value and the mean.

To calculate the standard deviation for this data set, follow these steps:

1. Find the mean of the data set by adding up all of the data values and dividing by the total number of values. In this case, the mean is (4 + 7 + 2 + 3 + 4 + 2 + 1 + 3 + 9 + 8 + 5 + 1 + 3 + 2 + 3 + 2 + 4 + 3 + 6 + 5) / 20 = 3.65

2. Find the variance by subtracting the mean from each data value, squaring the result, and then finding the average of these squared differences. The variance for this data set is ((4 - 3.65)^2 + (7 - 3.65)^2 + (2 - 3.65)^2 + ... + (6 - 3.65)^2 + (5 - 3.65)^2) / 20 = 5.2275

3. Take the square root of the variance to find the standard deviation. The standard deviation for this data set is sqrt(5.2275) = 2.287

Therefore, the appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.

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Answer:

x= -25/4

Step-by-step explanation:

Simplify both sides of the equation:

-4(1.75+x)=18

(-4)(1.75)+ (-4)(x)=18 | Distribute

-7+-4x=18

-4x-7=18 | Then solve.

Add 7 to both sides:

-4x-7+7=18+7

-4x=25

Then divide both sides by -4

The equation that has the solution is y + 2.9 = 11

From the question, we have the following parameters that can be used in our computation:

Solution: y = 8.1

Next, we evaluate the equations in the options

Using the above as a guide, we have the following:

y + 2.9 = 11

Evaluate the like terms

y = 8.1

Hence, the equation si y + 2.9 = 11

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A 1-sample t-test is a statistical method used to determine whether a sample of data is significantly different from a known or hypothesized population mean.

It is a common method used in scientific research and it can be used to test hypotheses in many different fields. The t-test compares the mean of a sample to a population mean, and it uses the t-distribution to calculate the probability that the sample mean is significantly different from the population mean. To perform a 1-sample t-test, you need to have a sample of data and a known or hypothesized population mean, and the test assumes that the data is normally distributed and that the variances between the sample and population are equal.

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By finding the vertical and horizontal asymptotes, you can use them to help find an expression for the rational function

To find an expression for a rational function given a vertical asymptote and a horizontal asymptote, start by recognizing that the general form of a rational function is f(x) = (ax + b)/(cx + d), where a, b, c, and d are all constants.

Next, use the given information to solve for a, b, c, and d in the equation. The vertical asymptote represents the x-values at which the denominator of the equation equals zero, so set cx + d equal to zero and solve for x. Similarly, the horizontal asymptote can be found by setting ax + b equal to the asymptote’s y-value.

Once both equations are solved for x, substitute the x-values back into the equation for the rational function and solve for the corresponding a, b, c, and d values.

A vertical asymptote occurs when the denominator of the rational function is equal to zero, so you can set the denominator equal to zero and solve for the variable to find the vertical asymptote.

A horizontal asymptote occurs when the degree of the numerator and denominator are equal, so you can look at the leading coefficients of the numerator and denominator to find the horizontal asymptote.

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To determine the degree of a polynomial function given in factored form, a good first step is to count the highest power of the variable in the factored expression.

In factored form, a polynomial function is expressed as the product of linear factors or irreducible quadratic factors.

Each factor represents a root or zero of the function.

The degree of a polynomial is determined by the highest power of the variable in the expression.

To find the degree of the function, examine each factor in the factored form.

For linear factors, the degree is 1 since the highest power of the variable is 1.

For irreducible quadratic factors, the degree is 2 since the highest power of the variable is 2.

By observing the highest power in the factored expression, you can determine the degree of the polynomial function.

If the highest power is 1, the polynomial has a degree of 1 (linear function). If the highest power is 2, the polynomial has a degree of 2 (quadratic function). And so on.

It's important to note that the degree of a polynomial corresponds to the highest power of the variable in the expression and not the number of factors.

The number of factors indicates the number of roots or zeros of the polynomial, but it doesn't determine the degree.

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Answer:

Step-by-step explanation:

Mode is the one that occurs the most.

Stem is first number repeated for leaf

so your list of numbers is

10,12,12,22,23,24,30

The one that occurs the most is 12.  So your mode is 12.

If there are multiple numbers that are "most" then there is no mode.

Answer:

55 performances

Step-by-step explanation:

The first equation will be the total cost. The total cost has $88,000 already and then $5,900 is added with each performance. So the equation would be 88,000+5,900x because x will represent the number of performances.

y = 88,000 + 5,900x

The next equation will be how much the performances earn. If they earn $7,500 with each performance then the equation will be 7,500x, with x representing the number of performances

y = 7,500x

Now set the equations equal to each other and solve for x

7,500x = 88,000 + 5,900x

1,600x = 88,000

x = 55

They need to have 55 performances for the cost and the revenue to break even.