Mr. Garcia Checked At Five-minute Intervals To See If Jane Was Playing Appropriately In A Small Group. (2024)

Using the sum of angles of a triangle formula we get,

10. ∠J = 127°, ∠K = 20°, ∠L = 33°

11. ∠W = 77°, ∠X = 62°, ∠Y = 41°

12. ∠F = 16°, ∠E = 49°, ∠D = 115°

What do you mean by triangles?

Basic three-sided polygons with three internal angles are triangles. The symbol represents one of the fundamental geometric shapes with three vertex connections. According to their sides and angles, triangles can be divided into several different types.

The three inner angles of a triangle can never add up to more than 180 degrees, which is known as the "angle sum property" of triangles.

Using the same principle in the question 10 we get,

∠L = 13° + ∠K

∠J = 7° + 6∠K

Now we know,

∠L + ∠J + ∠K = 180°

Substituting the values of L and J we get,

∠K = 20°

Putting the value of ∠K in ∠L and ∠J,

we get: ∠J = 127°, ∠K = 20°, ∠L = 33°

Similarly in question 11,

∠W = 2∠Y - 5°

∠X = 21 + ∠Y

Substituting the values of W and X,

∠Y = 41°

So, we are putting the value of ∠Y in ∠X and ∠W and we get:

∠W = 77°, ∠X = 62°, ∠Y = 41°

Again, in question 12,

∠E = 3∠F + 1

∠D = 7∠F + 3

Substituting the values of E and D,

∠F = 16°

Putting the value of ∠F in ∠E and ∠D, we get:

∠F = 16°, ∠E = 49°, ∠D = 115°

Therefore, through the sum of the angles in a triangle theorem we can get the angles of the triangles.

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The third section of the Original Dixieland One Step typically repeats twice.

The first section is usually composed of 8 bars of music, the second section is usually 16 bars, and the third section is 8 bars in length. After the first 8 bar section, the second section is then repeated.

This is followed by the third section which will repeat twice. This means that the entire composition is made up of three 8 bar sections and two 16 bar sections of music.

This is a common structure for ragtime pieces as the 8 bar sections provide a contrast to the longer 16 bar sections. This creates a distinctive sound that is unique to ragtime and the Original Dixieland One Step.

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For the given number of roses that Wanda finds on each 20 bushes , the mean number of roses per bush is 6.6 .

The Mean is defined as a measure of central tendency of a set of numerical data. It is calculated by adding up all the values in the data set and dividing by the total number of values.

To find the mean number of roses per bush, we add up the number of roses and divide by the number of bushes ,

So , Mean = (9+2+5+4+12+7+8+11+9+3+7+4+6+5+4+10+9+6+7+4)/20

= 132/20

= 6.6

Therefore, the mean number of roses per bush is 6.6.

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The given question is incomplete , the complete question is

Wanda works in the Botanical Gardens and is studying how to best care for the rose bushes. One of the ways she evaluates how the bushes are doing is by observing how many flowers a single bush produces.

The number of roses she finds on each of 20 bushes are given as 9, 2, 5, 4, 12, 7, 8, 11, 9, 3, 7, 4, 6, 5, 4, 10, 9, 6, 7, 4 .

Find the mean number of roses per bush.

Answers

1. Solution is 5 = 3
2. No solution
3. 5 = 3 is a false statement so there are no solutions

Step by step

9x + 5 = 10 ( x + 3 ) - x
Distribute

9x + 5 = 10x + 30 -x
combine like terms

9x + 5 = 9x + 30
Subtract 9x from both sides to isolate variables

9x - 9x + 5 = 9x - 9x + 30
Simplify

5 = 30

This is a false statement so there are no solutions

The total probability of failure of the wastewater treatment facility is 0.0304 or about 3.04%.

To calculate the total probability of failure of the facility, we can use the law of total probability:

P(failure) = P(failure | no power outage) * P(no power outage) + P(failure | power outage) * P(power outage)

We are given:

P(failure | no power outage) = 0.02 (probability of failure when there is no power outage)

P(failure | power outage) = 0.28 (probability of failure when there is a power outage)

P(power outage) = 0.04 (probability of a power outage)

To find P(no power outage), we can use the fact that the sum of the probabilities of all possible outcomes must be 1. So:

P(no power outage) = 1 - P(power outage) = 1 - 0.04 = 0.96

Now we can plug in the values:

P(failure) = 0.02 * 0.96 + 0.28 * 0.04 = 0.0192 + 0.0112 = 0.0304

Therefore, the total probability of failure of the wastewater treatment facility is 0.0304 or about 3.04%.

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The TV commentator's statement is wrong, and it is important to understand that the outcome of a single event is not influenced by previous outcomes of independent events.

The TV commentator is incorrect when he says that "Ichiro is due for a hit by the law of averages."

This is an example of the Gambler's Fallacy, which is the mistaken belief that if something happens more frequently than usual during a certain period, then it will happen less frequently in the future to "balance out" the probabilities.

The concept of the "law of averages" is also a misconception. There is no physical law that governs the probability of independent events like baseball hits, and the idea that past events will somehow balance out in the future is simply a fallacy.

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Los tres enteros pares consecutivos son 6, 8, y 10.

¿Como encontrar los 3 enteros consecutivos?

Sabemos que 3 enteros pares consecutivos tienen una suma de 24.

Recordar que dos pares consecutivos se escribe como x y x + 2.

Entonces la suma de 3 pares consecutivos son:

x + (x + 2) + (x + 4)

Y eso es igual a 24, entonces podemos escribir:

x + (x + 2) + (x + 4) = 24

Ahora podemos resolver esto para x.

x + (x + 2) + (x + 4) = 24

3x + 6 = 24

3x = 24 - 6

3x = 18

x = 18/3

x = 6

Los enteros son:

x = 6

x + 2 = 8

x + 4 = 10

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The amount of the discount is calculated as 2% of the net amount due ($22,500 - $2,250 - $1,050 = $19,200).

Journal Entries for Sales, Sales Returns, and Sales Allowances Using Perpetual Inventory System and Gross Method for Allied Merchandisers.

May 3:

Inventory purchase:

Inventory (Dr) $33,000

Cash (Cr) $33,000

May 5:

Sale of inventory to Macy Company:

Accounts Receivable - Macy Company (Dr) $22,500

Sales (Cr) $22,500

Cost of goods sold:

Cost of Goods Sold (Dr) $16,500

Inventory (Cr) $16,500

May 7:

Return of inventory by Macy Company:

Accounts Receivable - Macy Company (Cr) $2,250

Sales Returns and Allowances (Dr) $2,250

Cost of goods sold (restored units):

Inventory (Dr) $1,650

Cost of Goods Sold (Cr) $1,650

May 8:

Allowance given to Macy Company:

Sales Returns and Allowances (Dr) $1,050

Accounts Receivable - Macy Company (Cr) $1,050

May 15:

Receipt of payment from Macy Company:

Cash (Dr) $21,450

Sales Discount (Dr) $450

Accounts Receivable - Macy Company (Cr) $22,500

The Sales Discount account is used to record the amount of the discount given to Macy Company for paying within the discount period (2/10, n/60). The amount of the discount is calculated as 2% of the net amount due ($22,500 - $2,250 - $1,050 = $19,200).

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a) The maximum value of f is given as follows: y = 5.

b) The axis of symmetry of the parabola is given as follows: x = -1.

c) The x-intercepts of the parabola are given as follows: x = -0.29 and x = 2.29.

How to obtain the features?

The quadratic function is defined as follows:

f(x) = -3x² - 6x + 2.

The coefficients are given as follows:

a = -3, b = -6, c = 2.

Hence the axis of symmetry, which is the x-coordinate of the vertex, is given as follows:

x = -b/2a

x = 6/-6

x = -1.

The maximum value is the numeric value at the axis of symmetry, hence:

f(-1) = -3(-1)² - 6(-1) + 2

f(-1) = 5.

The x-intercepts are the roots of the quadratic function, obtained with a calculator, as follows:

x = -0.29 and x = 2.29.

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The simplified value of the trigonometric expression "Cos(x - π/4) + Cos(x + π/4)" is √2cos(x).

An "Algebraic-Expression" is mathematical phrase which includes numbers, variables and mathematical-operations, such as addition, subtraction, multiplication, and division.

The expression to be simplified is : Cos(x - π/4) + Cos(x + π/4);

We simplify the expression using the trigonometric identity:

⇒ cos(a + b) = cos(a)cos(b) - sin(a)sin(b) and cos(a - b) = cos(a)cos(b) + sin(a)sin(b);

Applying these identity on the expression,

We get,

⇒ cos(x - π/4) + cos(x + π/4);

⇒ [cos(x)cos(π/4) + sin(x)sin(π/4)] + [cos(x)cos(π/4) - sin(x)sin(π/4)];

⇒ cos(x)cos(π/4) + cos(x)cos(π/4) + sin(x)sin(π/4) - sin(x)sin(π/4);

⇒ 2cos(x)cos(π/4);

⇒ 2cos(x)(1/√2);

⇒ √2cos(x),

Therefore, the simplified expression is √2cos(x).

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The given question is incomplete, the complete question is

Simplify the following expression : Cos(x - π/4) + Cos(x + π/4);

The next three numbers in the sequence are 241, 394 and 635

What are the next three numbers in the sequence?

The definition of the function is given as

42,23,65,88,153,?,?,?

The above definitions imply that we simply add the previous two terms to get the current term

Using the above as a guide,

So, we have the following representation

Next term = 88 + 153 = 241

Next term = 153 + 241 = 394

Next term = 241 + 394 = 635

What type of sequence is this

The sequence is a fibonacci sequence

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If the data of the research subjects are presented in a frequency distribution graph, a histogram-type graph should be used.

If the data are presented in a frequency distribution graph, then the type of graph that should be used is a histogram. A histogram is a type of bar graph that displays the distribution of a continuous variable by dividing the range of values into intervals, and bins, and counting the number of observations that fall within each bin.

If the academic majors were nominal a bar graph could also be used to display the frequency of each major. In a bar graph, each category would be plotted on the horizontal axis, and the frequency of students in each category would be plotted on the vertical axis.

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Answer: 3.67

Step-by-step explanation:

3 2/3 is 3 + 2/3 (as a fraction is 0.66 recurring which is rounded to 0.67)

The inequality representing the possible values for the number of tacos sold (t) and the number of burritos sold (b) that would satisfy the constraint of selling a minimum of $630 worth of tacos and burritos each day is:

4t + 6.25b ≥ 630

This inequality states that the total revenue from tacos (4t) and burritos (6.25b) must be greater than or equal to $630. So, the number of tacos and burritos sold can vary as long as the inequality is satisfied.

Answer:You can graph these equations as you would a normal linear equation. For the first equation, you can shade in the area under the line, and for the other 2 shade in the are above the line. Whatever area of the graph all three shaded areas overlap gives us our possible range of answers, with each point in said area read as (x,y), with x the number of tacos sold and y the number of burritos sold.

Step-by-step explanation:

Let's refer to the number of burritos sold as B and the number of tacos sold as T.

We can go through statements one by one and write an inequality for each, then see if there's any that we can consolidate.

She has enough supplies to make 130 tacos or burritos gives us the equation:

B+T < 130

She sells each taco for $3.75 and each burrito for $6. Ava must sell a minimum of $600 worth of tacos and burritos each day. These statements can be combined to give us the following:

3.75T+6B > 600

She must sell a minimum of 80 burritos gives us:

B > 80

Because the number of burritos sold is going to be our y value, we can rearrange all of these to be in terms of the number of tacos sold. This gives us the following system of equations:

B < 130-T

B > 100-0.625T

B > 80

Steps:

-9+(-12)

Solution

-21

We can infer that one or both of Ernest's and Emma's theories could account for Ryan's quicker hike down than up.

what is hypothesis ?

A hypothesis in mathematics is a claim or presumption made regarding a mathematical idea or connection between mathematical objects. A hypothesis is typically founded on findings or prior knowledge and is frequently used as the basis for an inquiry or proof. For instance, a hypothesis about the characteristics of a specific shape or the connections between various shapes might be developed in geometry. A hypothesis about the dispersion of prime numbers and the behavior of a specific sequence of numbers may be stated in number theory.

given

Emma's theory is that because the path down was steeper than the trail up, Ryan could have hiked down more quickly and easily.

The amount of time it takes to hike can also be significantly influenced by other elements like trail length, elevation increase, and terrain.

Therefore, without more information, we cannot tell for sure whether Emma's hypothesis is a valid interpretation of the graph.

We can infer that one or both of Ernest's and Emma's theories could account for Ryan's quicker hike down than up.

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The intersection of the two lines has a y-coordinate of 4. In the conventional (x,y) coordinate plane, the meeting point is at (2,4).

To find the point of intersection between the lines y = x/2 + 3 and y = 3x - 2, we can set their equations equal to each other and solve for x:

x/2 + 3 = 3x - 2

Simplifying this equation, we get:

5/2 x = 5

x = 2

Now that we have found the x-coordinate of the intersection point, we can substitute it into either of the two equations to find the corresponding y-coordinate. Let's use the equation y = 3x - 2:

y = 3(2) - 2

y = 4

Therefore, the y-coordinate of the point of intersection of the two lines is 4. The intersection point is (2, 4) in the standard (x,y) coordinate plane.

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The figure that ∠ 1 and ∠ 2 are a pair of alternate exterior angles is Figure A.

What are alternate exterior angles?

Alternate exterior angles are a pair of angles that are formed by two parallel lines and a transversal line intersecting them. Alternate exterior angles are located on opposite sides of the transversal line and outside of the two parallel lines.

When two parallel lines are intersected by a transversal line, eight angles are formed. These angles can be divided into pairs based on their location and relationship to each other.

In Figure 1, ∠ 1 and ∠ 2 are a pair of alternate exterior angles as they form due to two parallel lines.

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Answer: The first one (A)

Step-by-step explanation:

I did the Iready.

Answer: 0.025

Step-by-step explanation:

5/32 divided by 25/4=

Keep 5/32.

Change 'divided' into times.

Swap 25/4 into 4/25.

5/32 x 4/25 =

(5 x 4 = 20)

(32 x 25 = 800)

(800/20 = 400/10 = 200/5 = 0.025)

Hope this helped!

The number of cups of yogurt needed for 3 smoothies is 102 cups. The number line that shows the number of cups of yogurt needed is the number line marked at 102

Determining the number of cups of yogurt needed for smoothies

From the question, we are to determine the number of cups of yogurt needed for 3 smoothies

Let he number of cups of yogurt required be x

From the given information, we have that

"You need 34 cup of yogurt for 1 smoothie"

Now,

If 34 cups of yogurt are required for 1 smoothie

Then,

x cups of yogurt will be required for 3 smoothies

x × 1 = 34 × 3

x = 102 cups

Hence, the number of cups required is 102 cups.

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The equation for each situation, in terms of t are F = 293 - 47t and K = 329 - 59t.

Kaj is closer to the stadium 4 hours after noon.

How to write the required linear equation?

In order to write a system of linear equations that could be used to model the situation, we would assign variables to Faith's distance and Kaj's distance respectively as follows:

Let the variable F represent Faith's distance away from the stadium t hours after noon.Let the variable K represent Kaj's distance away from the stadium t hours after noon.

Since Faith is 293 miles away from the stadium and is driving at a speed of 47 miles per hour, a linear equation that models the situation is given by;

F = 293 - 47t

For Kaj's distance, in miles, we have the following:

K = 329 - 59t

At t = 4 hours, we have:

Faith's distance, F = 293 - 47(4)

Faith's distance, F = 105 miles.

Kaj's distance, K = 329 - 59(4)

Kaj's distance, K = 93 miles.

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Answer:

$4320

Step-by-step explanation:

5760 / 16000 = $0,36 for each shade ball. So...

12000 * 0.36 = 4320

A graph that shows a line on the scatter plot that fits the data include the following: B. scatter plot with points plotted at 1 comma 7, 1 comma 8, 2 comma 5, 3 comma 6, 4 comma 4, 5 comma 5, 5 comma 6, 6 comma 3, 7 comma 5, 8 comma 2, 9 comma 4, and 10 comma 2, with a line drawn through about 1 comma 8 and 5 comma 6.

What are the characteristics of a line of best fit?

In Mathematics, there are different characteristics that are used for determining the line of best fit on a scatter plot and these include the following:

The line should be very close to the data points as much as possible.The number of data points that are above the line should be equal to the number of data points that are below the line.

By critically observing the scatter plot using the aforementioned characteristics, we can reasonably and logically deduce that line B represents the line of best fit because the data points are in a linear pattern.

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The equation of the area is A = 36 + 6x - 2x^2

How to determine the equation of the area

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

Length = 6

Width = x feet shorter than length

Height = length plus twice x

From the problem statement, we know that:

Width = 6 - x feet

Height = 6 + 2x feet

So, the area of one of the sides of the box is:

A = (width) * (height)

A = (6 - x) * (6 + 2x)

Expanding the brackets, we get:

A = 36 + 12x - 6x - 2x^2

A = 36 + 6x - 2x^2

So the equation that models the area, A, of one of the sides of the box that has the width and height as its dimensions is: A = 36 + 6x - 2x^2

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The place values of 8 in 0.28 is 8 hundredths and the place value of 8 in 0.85 is 8 tenths.

What is meant by Place Value of a Digit?

Place value of a digit in a number is the value of that particular digit according to the position where it stands.

Place value of a whole number of digits can be expressed as ones, tens, hundreds, thousand, etc. from right to left.

Place value of a decimal number can be expressed as tenths, hundredths, thousandths, etc. from left to right after the decimal point.

(A) The number is 0.28

Here 8 is the hundredths place.

Place value of 8 = 8 × [tex]\frac{1}{100}[/tex] = 0.08 = 8 hundredths

(B) The number is 0.85.

Here 8 is in the tenths place.

Place value of 8 = 8 × [tex]\frac{1}{10}[/tex] = 0.8 = 8 tenths

Hence the place values of 8 in both numbers are found.

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Your question is incomplete. The complete question with the options is given below.

Select from the drop-down menus to correctly complete each statement.

(A) The value of the 8 in 0.28 is Choose...

(B) The value of the 8 in 0.85 is Choose...

8 tenths

8 hundredths

8 thousandths

The area of the given square with side length 4 units is 16 square units.

The correct answer choice is option D.

What is the area of the square?

The side length, a of the square= 4 units

Area of a square= a²

= 4²

= 4 × 4

Area of the square= 16 square units

Therefore, the area of the square is 16 square units.

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Answer: - 18

Step-by-step explanation:

Lets just ignore the negative signs since they might make the question confusing, (You can only do this when both numbers are negative)

Y = 5, W = 31,

X has to be in the exact middle.

(Y+W) / 2 = 36 / 2 = 18

X would have to be at 18 to be in the middle point of W and Y.

We go back to the first thing we did, put the negative sign back,

X would be -18

Answer:

List 4

Step-by-step explanation:

list 4 because 1 bag equals 2 pink which is 4

The solution set of the hom*ogeneous system can be written in parametric vector form as:

x = t * |-2|

|10|

| 0|

We start by writing the augmented matrix for the system:

| 1 2 -15 0 |

| 2 1 -15 0 |

|-1 1 0 0 |

Next, we reduce the matrix to row echelon form:

| 1 2 -15 0 |

| 0 -3 15 0 |

| 0 0 1 0 |

The third row tells us that x^3 = 0, so we can set x^3 = t, where t is a free parameter. Using the first row, we can express x^1 in terms of x^2 and x^3:

x^1 + 2x^2 - 15x^3 = 0

x^1 = -2x^2 + 15x^3

x^1 = -2x^2 + 15t

Finally, using the second row, we can express x^2 in terms of x^3:

2x^1 + x^2 - 15x^3 = 0

2(-2x^2 + 15t) + x^2 - 15t = 0

-3x^2 + 30t = 0

x^2 = 10t

Therefore, the solution set of the hom*ogeneous system can be written in parametric vector form as:

x = t * |-2|

|10|

| 0|

where t is a free parameter.

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The value of the variable x is 9

How to determine the value

It is important to note that the sine and cosine trigonometric identities are almost directly opposite to each other.

They are complementary to each.

Then

sin(2x + 11) = sin(90 - 3x + 34)

Factor the like terms

2x + 11 = 90 - 3x - 34

collect the like terms

2x + 3x = 90 -34 - 11

Add or subtract the like terms

5x = 45

Divide by the coefficient of x, we get;

x = 45/5

x = 9

Hence, the value is 9

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