one is making cupcakes it takes him a fourth of an hour to bake one batch of cupcakes how many batches of cupcakes can he make in 3 hours would like to know how to write out the equation okay.

the only correct assumption that we can do is

2x-10=x+40

because these angles can't form an angle of 90° or 180° or 360° if we sum them

For binary class classification, assumptions are necessary in a way:

Given that

From Boyer Naive classifier,

We evaluate (ai | vj) is given below

(ai | vj) = n(e) + m(p) / n + m

Here,

m = equivalent sample size

n(e) = number of training examples

for which v = vj and a = ai

n(i) = number of training example for which v = vj

P = a prior estimate for P(ai | vj)

Here, we calculate that

P(SUV | yes), P(Red | yes), P(Domestic | yes)

P(SUV | no), P(Red | no), P(Domestic | no)

We evaluating this value like

yes:

RED :                             SUV:                            DOMESTIC:

n = 5                              n = 5                             n = 5

n(c) = 3                          n(c) = 1                           n(c) = 2

P = 0.5                          P = 0.5                           P = 0.5

m = 3                              m = 3                            m = 3

Therefore, with the above calculation we can justify that the simplifying assumptions are necessary in a binary class classification.

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Answer:

turn it 90 degrees, hope this helps

Step-by-step explanation:

Answer:

so go to the 120 degree line and make sure the line is straight across from zero and thin dray a line going from 120 down to the bottom of where the zero is  

Step-by-step explanation:

Answer:

Answer: −2x2+28x−87 is the simplified form for -2(x-7)²+11

Answer:

c is the correct answer

Answer:

Step-by-step explanation:

The key here is to find out how long it will take Justin to triple his money, and then use that number of years in Hailey's equation. If Justin starts with $940, he will triple his money when he has $2820 (940*3). We need to find out how long it takes him to do this using the equation

\(A(t)=P(1+\frac{r}{n})^{nt}\)where A(t) is the tripled amount of money, P is the initial investment, r is the interest rate in decimal form, n is the number of compoundings done per year, and t is the time in years. Filling in and solving for t:

\(2820=940(1+\frac{.07625}{12})^{12t\) which simplifies a bit to

\(2820=940(1+.0063541667)^{12t\) and a bit more to

\(2820=940(1.0063541667)^{12t\) Begin to solve for t by dividing both sides by 940 to get:

\(3=(1.0063541667)^{12t\) and then take the natural log of both sides to get the t alone eventually. Taking the natural log on the right side enables us to move the 12t down in front. So doing all of that at the same time:

\(ln3=12tln1.0063541667\) and divide both sides by ln(1.0063541667):

\(173.4450855=12t\) then finally divide both sides by 12 to get

t = 14.5 years. Now we use that number of years to find out how much Hailey will have.

\(A(t)=940(1+\frac{.0825}{4})^{(4)(14.5)}\) which simplifies a bit to

\(A(t)=940(1+.020625)^{58\) and a bit more to

\(A(t)=940(1.020625)^{58\) and

A(t) = 940(3.26768151) so in 14.5 years, Hailey will have

A(t) = $3071.62

The inverse equation to the one given in this exercise is:

\(y = 2(\sqrt{7 + x} + 1)\)

To find the inverse, we have to exchange x and y and then isolate y.

In this problem, the equation is:

2(x - 2)² = 8(7 + y).

Exchanging x and y:

2(y - 2)² = 8(7 + x)

Now we work to isolate y:

(y - 2)² = 4(7 + x).

To isolate y, we apply the square root to both sides, hence:

\(\sqrt{(y - 2)^2} = \sqrt{4(7 + x)}\)

\(y - 2 = 2\sqrt{7 + x}\)

\(y = 2\sqrt{7 + x} + 2\)

\(y = 2(\sqrt{7 + x} + 1)\)

Hence the inverse equation to the one given is:

\(y = 2(\sqrt{7 + x} + 1)\)

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Answer:

7 4/5

Step-by-step explanation:

when you subtract, keep the first value then change subtract to addition and, finally, change the sign of the second value

this problem, 7 1/5 -(-3/5) is the same as this addition problem:

7 1/5 + 3/5

this equals 7 4/5

Answer:

y = m x + b     equation of straight line

Slope = (y2 - y1) / (x2 - x1) = (-3 - 1) / ((7 - (-5)) = -4 / 12 = -1 / 3

y = -x / 3 + b       since m is defined above

lf y = 7 then x = -5     given

7 = 5/3 + b  

b = (21 - 5) / 3 = 16 / 3 = 5 1/3

y = -x / 3 + 5 1/3

Check:   Use point x = -5

y = 5/3 + 16/3 = 21 / 3 = 7      correct

Answer:

(-16, 0)

Step-by-step explanation:

\((0,8) \longrightarrow (0,16) \longrightarrow (-16,0)\)

Answer:

b,d,c

Step-by-step explanation:

y = 1 4 x calculates the number of eggs, y, for x crepes. The constant of proportionality is 1 4 . Ella needs 15 eggs to make 60 crepes. y = kx, where k is the constant of proportionality → y = 5 eggs 20 crepes x → y = 1 4 x; thus, k = 1 4 y = 1 4 (60) = 15 eggs

For 60 creps, 15 eggs will be needed.

Given is that the number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served

Now, for 20 creps, 5 eggs are needed.

Then for 1 crep, (5/20) eggs are needed.

For 60 creps, (5/20) x 60 = 15 eggs will be needed.

Therefore, For 60 creps, 15 eggs will be needed.

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The equation of the line that passes through the point (7, 6) with slope 0 is y = 6

Given,

The points which the line passes, (x₁, y₁) = (7, 6)

Slope of the line, m = 0

We have to find the equation of the line:

We know that,

y - y₁ = m(x - x₁)

So,

y - 6 = 0(x - 7)

y - 6 = 0

y = 6

That is,

The equation of the line that passes through the point (7, 6) with slope 0 is y = 6

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Answer:

A.

Step-by-step explanation:

Using it's concept, it is found that the relative frequency for the class with a lower class limit of 35 is of 12.5%.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 5 out of a total of 10 + 8 + 9 + 4 + 4 + 5 = 40 students are in the class with a lower class limit of 35, hence:

f = 5/40 = 1/8 = 0.125 = 12.5%.

The relative frequency for the class with a lower class limit of 35 is of 12.5%.

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The average rate of change of profit when 20 units to 14 units per day will be 46.5.

It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

Assume the expense and income (in dollars) capabilities are given by C(x) = 8x + 48 and R(x) = 80x − 0.75x², where x is the everyday creation.

The profit function is written as,

P(x) = R(x) - C(x)

P(x) = (80x − 0.75x²) - (8x + 48)

P(x) = 80x − 0.75x² - 8x - 48

P(x) = 72x − 0.75x² - 48

The average rate of change of profit when 20 units to 14 units per day are calculated as,

Average rate = [P(20) - P(14)] / (20 - 14)

Average rate = [(72×20 − 0.75(20)² - 48) - (72×14 − 0.75(14)² - 48)] / 6

Average rate = (1140 - 861) / 6

Average rate = 279 / 6

Average rate = 46.5

The average rate of change of profit when 20 units to 14 units per day will be 46.5.

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Answer:41 m

Step-by-step explanation:

Lets use the Pythagoras thermos to solve

40^2+9^2=c^2

1600+81=c^2

1681=c^2

41=c

The value of the hypotenuse is 41

I see you already attempted this question and got it right, Good job!

Answer:

41

Step-by-step explanation:

Use the Pythagorean theorem to sovle this problem. The Pythagorean theorem states the following,

\(a^2 + b^2 = c^2\)

Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.

Substitute in the given values and solve for the unknown,

\((9)^2 + (40)^2 = c^2\\\\81 + 1600 = c^2\\\\1681 = c^2\\\\41 = c\)

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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Answer:

Step-by-step explanation:

1) first we find the x and y intercepts. Remember the intercepts are where x=0 and y=0

2) To find the x-intercept, substitute y = 0 and solve for x.

given equation:  x +2y= -4

then substitute y=0    so

x+ 2(0) = -4    -> any number multiplied by 0 it will always equal zero

then,  it will be  x=-4

the coordinates will be (-4,0)

3) To find the y-intercept, substitute x =0 and solve for y.

given equation:  x +2y= -4

then substitute x=0    so

(0)+ 2y = -4    -> x disappears since is zero

then,  it will be  2y=-4

then we multiply by 2 :

2y/2 = -4/2

y=-2

the coordinates for the y-intercept will be (0,-2)

Answer:

The goal here is to simplify your answer, and so in order to do that, you must combine like terms.

Step-by-step explanation:

-x+ -9x= -10x

-7+6= -1

-10x-1 is the answer, hope this helps

2 sin(x) + 3 > sin²(x)

can be rewritten as

sin²(x) - 2 sin(x) - 3 < 0

(sin(x) - 3) (sin(x) + 1) < 0

The left side is equal to zero when either

sin(x) - 3 = 0   or   sin(x) + 1 = 0

sin(x) = 3   or   sin(x) = -1

The first case can never happen for real x, since |sin(x)| ≤ 1. From the second case, we get one zero in the interval 0 ≤ x ≤ 2π at x = 3π/2.

Now, split up the solution domain into two intervals, and check the sign of the left side of the inequality at some point in the interval. If the inequality holds up, that interval will belong to the solution set for the inequality.

• From 0 ≤ x < 3π/2, take x = 0. Then

sin²(0) - 2 sin(0) - 3 = 0² - 0 - 3 < 0

is true.

• From 3π/2 < x ≤ 2π, take x = 2π. Then

sin²(2π) - 2 sin(2π) - 3 = 0² - 0 - 3 = -3 < 0

is also true.

This means both intervals 0 ≤ x < 3π/2 and 3π/2 < x ≤ 2π satisfy the inequality.

Answer:

C

Step-by-step explanation:

EDGE 2022

Answer:

1232    =>      1

2464    =>     2

6160    =>      5

9856   =>      8

Step-by-step explanation:

Geometry encompasses various topics such as angles, lines, triangles, circles, polygons, and more.

Whether you need help with a specific theorem, a geometric proof, or solving a particular problem, feel free to describe the problem or provide any relevant information.

You can also ask general questions about geometry concepts or seek clarification on any topic you find challenging. Remember to provide all the necessary details, such as given information, diagrams, or specific requirements of the problem, to help me understand and assist you better.

Geometry often involves visual representation, so if you can provide any diagrams or illustrations related to your question, it would be helpful. However, if you can only describe the problem or concept in words, that's perfectly fine too.

Rest assured that I'll do my best to provide clear explanations, step-by-step solutions, and any additional information or insights to help you understand and solve your geometry problem.

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Answer:

Step-by-step explanation:

a) Number of variables in the data set : 5

b) A quantitative variable is the one which can be quantitatively measured. i.e. it is a numerical value.

A categorical variable is the one that can take one value from a limited number of fixed values.

Exchange is a Categorical Variable. Price/Earnings Ratio is a Quantitative Variable. Gross Profit Margin (%) is a Quantitative Variable.

c. Out of the 25 stocks, AMEX is the exchange for 5 stocks. So percent frequency is 5/25 = 0.2 = 20%.

NYSE is the exchange for 3 stocks. So percent frequency is 3/25 = 0.12 = 12%.

OTC is the exchange for 17 stocks. So percent frequency is 17/25 = 0.68 = 68%.

These percentages are correctly shown in graph a. So the answer is a.

d) The frequency distribution is

Gross Profit Margin                Frequency

0-14.9                                        2

15-29.9                                      6

30-44.9                                     8

45.59.9                                    6

60.74.9                                    3

As we come across the Gross Profit Margin values in the table, we add a | next to its respective interval and build the above table. E.g. the first value in the table under Gross Profit Margin is 36.7 which lies in the interval 30–44.9. So we add one | in fromt of that interval and so on until we cover the entire table. The number of | shows the frequency distribution of the values.

The correct histogram is A.

e. The average price/earnings ratio is found by adding all the 25 values in the table and dividing the answer by 25.

= 505.40/25

The given equation y = |x| - 3 represents the absolute value function.

The equation is given in the question following:

y = |x| – 3

We have to identify the type of special function represented by the given equation

As we know that the absolute value of a number is its distance from 0 on the number line, regardless of the sign. For example, the absolute value of -3 is 3, and the absolute value of 3 is also 3.

In the equation y = |x| - 3, the absolute value of x is subtracted from 3, so the value of y will always be a non-negative number.

Thus, the absolute value function is represented by the given equation, y = |x| - 3.

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Answer:

1/41416353 probability of all five numbers and the mega number matching the winning numbers

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Probability of the five numbers matching:

Desired outcomes: 1 -> the matching numbers

Total outcomes: 5 from a set of 47. So

\(T = C_{47,5} = \frac{47!}{5!(47-5)!} = 1533939\)

Probability:

\(p_{S} = \frac{1}{1533939}\)

Probability of the mega number matching:

1 from a set of 27. So

\(p_M = \frac{1}{27}\)

Probability of both matching:

Independent events, so we multiply the probabilities:

\(p = p_S*p_M = \frac{1}{1533939}*\frac{1}{27} = \frac{1}{41416353}\)

1/41416353 probability of all five numbers and the mega number matching the winning numbers

Answer:

  see attached

Step-by-step explanation:

You want the solution to the inequality y < 2x.

A linear inequality in two variables has a solution set that is half of the x-y coordinate plane. Replacing the inequality symbol with an equal sign gives the equation of the boundary line of that half-plane. If the "or equal to" case is included in the inequality, then the boundary line itself is part of the solution space. Otherwise, it is not. The latter case is indicated by graphing the boundary line as a dashed line.

You can look at either of the variables relative to the inequality symbol to see which half of the plane is shaded (part of the solution set).

Here, we can see "y <" or "< x" to tell that the shading is below the line and/or to its right, where y-values are less than those on the line, and x-values are greater than those on the line.

The attachment shows the boundary line, and the shaded area that represents the solution set for the given inequality.

__

The boundary line is y=2x, a line with slope 2 that passes through the origin.

The company should produce 235 units of Metakeb, 96 units of Mewesson, and 17 units of Metekem per month to use up all the available resources.

What is the Gaussian method?

The Gaussian method, also known as Gaussian elimination or row reduction, is a technique for solving systems of linear equations. It involves performing a sequence of operations on the rows of a matrix to transform it into an equivalent matrix that is in row echelon form or reduced row echelon form.

To use the Gaussian method, we need to set up a system of linear equations based on the given information. Let x, y, and z be the number of units of Metakeb, Mewesson, and Metekem produced per month, respectively. Then we have:

Machining department: 1200x + 1800y + 3000z = 1050(60)

Inspection department: 2400x + 1200y = 1160(60)

Assembly department: 600x + 3000y = 830(60)

Simplifying these equations, we get:

Machining department: 20x + 30y + 50z = 3150

Inspection department: 8x + 4y = 232

Assembly department: x + 5y = 139

Now we can use the Gaussian method to solve for x, y, and z:

Step 1: Write the augmented matrix:

| 20 30 50 | 3150 |

| 8 4 0 | 232 |

| 1 5 0 | 139 |

Step 2: Use row operations to get the matrix in row echelon form:

R2 → R2 - 4/5 R3

R1 → R1 - 20R3

| 0 -2 50 | 850 |

| 0 2 -4   | -28 |

| 1 5 0     | 139 |

R2→ -1/2 R2

R1 → R1 + R2

| 0 1 -25 | 407 |

| 0 1 -2 | 14 |

| 1 5 0 | 139 |

R1→ R1 - R2

| 0 0 -23 | 393 |

| 0 1 -2 | 14 |

| 1 5 0 | 139 |

R3→ R3 - 5R2

| 0 0 -23 | 393 |

| 0 1 -2 | 14 |

| 1 0 10 | 65 |

R1→ -1/23 R1

| 0 0 1 | -17 |

| 0 1 -2 | 14 |

| 1 0 10 | 65 |

R2 → R2 + 2R3

| 0 0 1 | -17 |

| 0 1 0 | 96 |

| 1 0 10 | 65 |

R3 → R3 - 10R1

| 0 0 1 | -17 |

| 0 1 0 | 96 |

| 1 0 0 | 235 |

Step 3: Read off the solution from the row echelon form:

z = -17

y = 96

x = 235

Therefore, the company should produce 235 units of Metakeb, 96 units of Mewesson, and 17 units of Metekem per month to use up all the available resources.

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When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?