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The _____ of a linear equation is ax + by = c where a and b are not both zero


A. Run

B. Y intercept

C. Slope intercept form

D. Standard form

The length of the radius of the circle of equation (x + 3)² + (y - 7)² = 289 is given as follows:

b) 17.

The equation of a circle of center \((x_0, y_0)\) and radius r is given by the equation presented as follows:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

The equation for the circle in this problem is given as follows:

(x + 3)² + (y - 7)² = 289.

Hence the center and the radius are obtained as follows:

Hence option B is the correct option for this problem.

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The restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.

Sale refers to the transfer of ownership of goods or services from one person to another in exchange for money or other consideration.

The total purchase price of the franchise naming rights and physical property was $1,250,000.

To calculate the amount paid for each individual element of the sale, the total purchase price must be divided by the two elements.

The total purchase price of $1,250,000 divided by two elements equals $625,000.

This means that the restaurant chain paid $625,000 for the franchise naming rights and $625,000 for the physical property.

The amount of money paid for the franchise naming rights (four times the cost of buying the physical property) can be calculated by multiplying the cost of the physical property, which is

$625,000/4 .

When the cost of the physical property is multiplied by four, the result is $2,500,000.

This means that the restaurant chain paid $2,500,000 for the franchise naming rights.

In summary, the restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.

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a. The probability of three or more bank thefts occurring in a single day is about 0.226  

b. The probability of experiencing 10 to 15 (inclusive) bank thefts over the course of five days is roughly 0.397.

a. Let X be the number of bank robberies in a day. Then X is Poisson distributed with a mean of λ = 1.8. We want to find P(X ≥ 3).

Using a Poisson distribution table or a calculator, we can find:

P(X ≥ 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2)

= 1 - e^(-1.8)(1 + 1.8 + (1.8)²/2)

≈ 0.226

Therefore, the probability of having three or more bank robberies in a day is approximately 0.226.

b. Let Y be the number of bank robberies in a 5-day period. Then Y is Poisson distributed with a mean of λ = 9 (since the mean number of robberies per day is 1.8, and we're looking at a 5-day period). We want to find P(10 ≤ Y ≤ 15).

Using a Poisson distribution table or a calculator, we can find:

P(10 ≤ Y ≤ 15) = P(Y ≤ 15) - P(Y ≤ 9)

= e⁻⁹ (1 + 9/1! + (9)²/2! + ... + (9)¹⁵/15!) - e⁻⁹ (1 + 9/1! + (9)²/2! + ... + (9)⁹/9!)

≈ 0.397

Therefore, the probability of having between 10 and 15 (inclusive) bank robberies during a 5-day period is approximately 0.397.

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The simple interest on 1600 with a 6% interest rate for 2 years is $192.

The simple interest simply means the method that's used to calculate the interest that's charged on a loan or money given out.

In this situation, we want to calculate the simple interest on 1600 with a 6% interest rate for 2 years. This will be calculated thus:

Simple interest = Principal × Rate × Interest

Simple interest = $1600 × 6% × 2

Simple interest = $1600 × 0.06 × 2

Simple interest = $192

The interest is $192.

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Complete question

Calculate the simple interest on 1600 with a 6% interest rate for 2 years.

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.

In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.

Here we have

- 3x² + 33 = 48x

Keep 'x' terms on one side and constant terms sides on another side

=> - 3x² - 48x = - 33

Divide by - 3 on both sides

=> -3(x² + 4x)/3 = - 33/3  

=> x² + 16x = 11      

Take half of the 'x' term and square it and add on both sides

=> x² + 2(8x) (x) + (8)² = 11 + (8)²  

Which is in the form of x² + 2bx + b² = (x + b)²

=> [x + 8]² = 75

Therefore,

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

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Answer:

5.2

Step-by-step explanation:

Connect G and D

In ΔGDE, angle ∠GED  = 148/2 = 74°

Radius DE = 18/tan(74) = 5.2

Answer: 50°

Step-by-step explanation:

Hi ! As you can see, the whole angle on which there are the three angles is plane, so it is 180°.

And with this information, you can guess that : C = 180 - ( 65 + 65)

                                                                              C = 180 - 130

                                                                              C = 50°

You verify : 65 + 65 + 50 = 180, which means it should be correct, and there you go, hope it helped !

Answer:

not similar

Explanation:

Two triangles are similar if their interior angles are the same. For the greater triangle, we know that one angle is 90° and the other is 40°. Since the sum of the interior angles of a triangle is always 180°, we can calculate the measure of the third angle as:

180 - 90 - 40 = 50°

Therefore, the three angles of the greater triangle are 90°, 40°, and 50°.

If x - 48°, the angles of the smaller triangle will be 90° and 48°.

Since 48 is different from 40 and 50, the triangles are not similar.

So, the answer is:

There is enough information to conclude that the two triangles are not similar if x = 48°

Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.

Step 1: Calculate the z-scores for the given values using the formula:

  z = (x - μ) / σ

  For 189.7:

  z1 = (189.7 - 189.7) / 96.7 = 0

  For 213:

  z2 = (213 - 189.7) / 96.7 ≈ 0.2417

Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.

  P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939

Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.

To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance

Step 1: Calculate the standard error of the mean (σ_m) using the formula:

  σ_m = σ / sqrt(n)

  σ_m = 96.7 / sqrt(62) ≈ 12.2878

Step 2: Convert the given qualities to z-scores utilizing the equation:

  z = (x - μ) / σ_m

  For 189.7:

  z1 = (189.7 - 189.7) / 12.2878 = 0

  For 213:

  z2 = (213 - 189.7) / 12.2878 ≈ 1.8967

Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.

  P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702

Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

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The correct total weight of the bags of granola is 8 1/4 pounds.

One thing that can be done to improve Roberto's reasoning is to ensure the accuracy of the calculations.

In his conclusion, Roberto added the weights of the bags of granola (2 1/2, 2 3/4, and 3) and claimed that the total weight was 8 1/4 pounds. However, the sum of these weights does not equal 8 1/4 pounds.

To address this, Roberto should recheck his calculations. Adding mixed numbers involves adding the whole numbers separately and then adding the fractions separately. In this case, 2 1/2 + 2 3/4 + 3 can be calculated as follows:

2 + 2 + 3 = 7 (sum of whole numbers)

1/2 + 3/4 = 2/4 + 3/4 = 5/4 = 1 1/4 (sum of fractions)

Thus, the correct sum is 7 + 1 1/4 = 8 1/4 pounds.

By double-checking the calculations and providing the accurate sum, Roberto's reasoning would be more precise, reliable, and free from errors.

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The probable question may be:

Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2 1/2+2 3/4+3=8 1/4 pounds.

what is one thing that you could do to Roberto's Reasoning

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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Answer:

A is the answer

Step-by-step explanation:

if its wrong than its C

Answer:

  (f+g)(x) = 5x +3

Step-by-step explanation:

(f+g)(x) = f(x) +g(x)

  = (2x -6) +(3x +9)

  = 2x +3x -6 +9

(f+g)(x) = 5x +3

Answer:

The answer is definetely 5.

Step-by-step explanation:

K = the distance from f(x) to g(x)

And I took the test and got a 100%. Ik ik I really am a MATH MAESTRO, it's in the name. Anyways Good luck! I hope this helped!

Answer:

5

Step-by-step explanation:

Answer:

b:3=3

⇒b=1

a:b=3

⇒a:1=3

⇒a=1/3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

I'm pretty sure the answer is 3

Step-by-step explanation:

I typed it into my calculator and it came back as 3 so...

Answer:

21

Step-by-step explanation:

plug n = 14 into the equation:

\(2(14-1)-5\\2(13)-5\\26 - 5\\21\)

AnsweTo see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.r:

Step-by-step explanation:

Answer:

You can find a proportional relationship in a table by seeing if there is a pattern like 1,5 or 2,10.

Step-by-step explanation:

Answer:

The expression x-0.3x represents the total cost of Minecraft Dungeons.

Step-by-step explanation:

Given that:

Percentage of Minecraft sale = 30% off

Cost of Minecraft Dungeons = x

Amount of discount on Minecraft Dungeons = 30% of x

Amount of discount = \(\frac{30}{100}*x\)

Amount of discount = 0.3x

Total cost of Minecraft Dungeons = Total cost - Discount

Total cost of Minecraft Dungeons = x - 0.3x

Hence,

The expression x-0.3x represents the total cost of Minecraft Dungeons.

Answer:

The expression x-0.3x represents the total cost of Minecraft Dungeons.

Step-by-step explanation:

Given that:

Percentage of Minecraft sale = 30% off

Cost of Minecraft Dungeons = x

Amount of discount on Minecraft Dungeons = 30% of x

Amount of discount =  

Amount of discount = 0.3x

Total cost of Minecraft Dungeons = Total cost - Discount

Total cost of Minecraft Dungeons = x - 0.3x

Hence,

The expression x-0.3x represents the total cost of Minecraft Dungeons.

gottem ;)

Answer:

Answer 1008

Step-by-step explanation:

The total number of corn dogs sold is 28 corn dogs and number of hotdogs is 53

Total cost is the overall expense incurred for a particular product, service, or project. It includes both fixed and variable costs, such as materials, labor, and overhead. It is often used in business and economic analysis as a measure of the efficiency and profitability of a particular venture. The total cost of a product or service can also be used to set prices and make pricing decisions.

According to question:-

step1

h = number of hotdogs

c = number of corndogs.

cost of hotdog = $3

corn dog = $1.50

The equation:

3h + 1.50c = 201 (1)

h = 2c - 3 (2)

step2

substitute (2) into (1)

3(2c - 3) + 1.50c = 201

6c - 9 + 1.50c = 201

7.50c - 9 = 201

7.50c = 201 + 9

7.50c = 210

c = 210/7.50

c = 28

Therefore,

h = 2c - 3

= 2(28) - 3

= 56 - 3

= 53

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Answer:

14

Step-by-step explanation:

Answer:

4b +3

Step-by-step explanation:

you would replace f(x) with f(2b), so

f(2b) = 2(2b)+3

4b +3

Answer:

0.090909

Step-by-step explanation:

I used a calculator

The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

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Answer:

  x = 31.2

Step-by-step explanation:

You want the solution to the proportion 12/x = 5/13.

You can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...

  \(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)

Now, the value of x is found by dividing both sides by its coefficient.

  \(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)

__

Additional comment

The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.

Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.

You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.

Any proportion can be written 4 ways:

  \(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)

These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.

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Answer: 77 degrees

Step-by-step explanation:

interior angles on the same side of transversal are supplementary.  Thus,

103+x=180

x = 77

Hope it helps <3

Answer:

Hey there!

This is a parallelogram, and we have the angles next to each  other add to 180 degrees. Angle ABC+Angle BCD=180

103+x=180

x=77

BCD=77 degrees.

Let me know if this helps :)

Answer:

4 *4 = 16

16 * 5555 = 88880

88880 * 8999989 = 799919022320

Brainliest :D

Step-by-step explanation:

Answer:

49994938911

Step-by-step explanation:

(4times4)(5555times8999989)

Correct answer to the question is: operating profit will be the same on both statements; marketing and administrative costs will be the same on both statements.

A gross margin income statement focuses on the difference between the cost of goods sold (COGS) and the selling price of the products. It shows the gross profit as a percentage of sales, which can be used to evaluate the company's ability to generate revenue and cover its costs.

Both the gross margin and the contribution margin income statements provide important information to the company, but they offer different perspectives on the company's profitability. The gross margin income statement is useful for evaluating the overall efficiency of the company's sales and production processes, while the contribution margin income statement is useful for evaluating the potential profit from selling additional units.

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The complete question is :

Assume total units produced equals total units sold. If the company prepares a gross margin income statement and a contribution margin income statement, _____.

To earn an average score of 90, the score on the fourth test needs to be 98.

The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a particular set of numerical data.

Given the score of the first three tests as:

91, 84, 87.

The average is given by the following formula:

Average = Sum of scores ÷ total number of tests

Let us suppose the score of fourth test as x.

Given that A = 90:

90 = (91 + 84 + 87 + x) ÷ 4

x = 98

Hence, the score on the fourth test must be equal to 98, to get an average score of 90.

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