If there are 26 students in each third-grade class and 3 third-grade classes in the school, how many students will attend an assembly for third graders if a total of 4 students are absent?

students

Answer:

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Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

Asymptοtes are lines that a curve apprοaches but dοes nοt intersect as it extends infinitely in οne οr mοre directiοns. They can be vertical, hοrizοntal, οr οblique.

Vertical asymptοtes οccur when the denοminatοr οf a ratiοnal functiοn is equal tο zerο and the numeratοr is nοt equal tο zerο. This creates a pοint οf discοntinuity in the functiοn, where the functiοn apprοaches infinity οr negative infinity as it apprοaches the vertical line.

The functiοn y = 5tan(0.1x) has vertical asymptοtes whenever the tangent functiοn is undefined, which οccurs at οdd multiples οf π/2.

the vertical asymptοtes οf y = 5tan(0.1x) are given by:

x = (2n+1)π/2*10, where n is an integer.

Fοr Explοratiοn 4.3.3, Questiοn 2, the given functiοn is:

\(y = (x^2 - 5x + 6)/(x^2 - 9)\)

Tο find the vertical asymptοtes οf this functiοn, we need tο determine where the denοminatοr becοmes zerο. This οccurs at x = 3 and x = -3.

Therefοre, the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

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The inequality describes all the solutions to the inequality expression given as 11(3 - x) < -2x + 6 is x > 3

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

The inequality expression is given as

11(3 - x) < -2x + 6

Open the bracket

So, we have

33 - 11x < -2x + 6

Collect the like terms

So, we have

2x - 11x < 6 - 33

Evaluate the like terms

So, we have

-9x < -27

Divide both sides of the inequality by -9

x > 3

Hence, the inequality describes all the solutions to the inequality expression given as 11(3 - x) < -2x + 6 is x > 3

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Answer:

4.47, 121/25, 4 17/20, 4.859

More details: U could just change them into decimals bc it’s easier that way but people have different ways so it’s ok that’s just my opinion.

Answer:

Step-by-step explanation:

It’s A

The measure of the arc ADC is 252°

The arc of a circle is defined as the part or segment of the circumference of a circle.

Given that, a circle O, with tangents AB and BC, the measure of arc AC is 108°, the measure of angle ABC is 72°, we need to find the measure of arc ADC,

According to the definition of circle,

We have,

m ∠ABC = (m arc ADC + m arc ADC) / 2

72° = (m arc ADC - 108°) / 2

144° = m arc ADC - 108°

m arc ADC = 144° + 108°

m arc ADC = 252°

Hence the measure of the arc ADC is 252°

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Answer: y= x- 10

Step-by-step explanation:

Nothing further can be solved

Using area of the rectangle, we can find that the new flower garden will be 13m in length (greater dimension).

The formula for calculating a rectangle's area can be used to determine how much space the rectangle takes up within its perimeter. Multiplying the length by the width yields the area of a rectangle (breadth).

As a result, the following formula can be used to determine the area of a rectangle whose length and breadth are "l" and "w," respectively. The rectangle's area is L × W. A rectangle's area is therefore equal to length * width.

Now here the dimensions of the rectangle are, l = 13m and b, = 9m.

Area of the rectangle is 13 × 9 = 117m².

Now the area of the rectangle is increased to 221m².

So, when we increase the length from 13 m to 17m and the breadth from 9m to 13m, we get area = 17 × 13 = 221m².

Therefore, length of the new garden will be 17m long.

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50 small cabinets and 15 large cabinets should be packed by Lee in the truck  and these value is obtaied after solving the equations given below.

Given : Weight of large cabinet and small cabinet is 40 and 25 pounds respectively

Total load weight allowed in the truck = 1850 pounds  - (i)

Total cabinets allowed in the truck = 65            - (ii)  

Let Lee pack x number of large cabinet and y number of small cabinet

Using equation (i):

40*x + 25*y = 1850          - (iii)

Using equation (ii):

x + y = 65       - (iv)

multiply by 40 on the both side so the equation changes to :

=> 40*x + 40*y = 65*40

=> 40*x + 40*y = 2600       - (v)

Subtracting equation iii from iv :

40*y - 25*y = 2600 - 1850

=> 15*y = 750

=> y = 50

Using (iv) :

x = 65 - y = 65 - 50 = 15

So, 50 small cabinets and 15 large cabinets should be packed by Lee in the truck

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The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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Answer:

The equation of the line is y = - x - 8

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

Let us solve the question

∵ The slope of the line is -1

∴ m = -1

→ Substitute it in the form of the equation above

∴ y = -1(x) + b

∴ y = - x + b

→ To find b substitute x and y in the equation by the coordinates of

   a point lies on the line

∵ The line passes through point (-5, -3)

∴ x = -5 and y = -3

∵ -3 = - (-5) + b

→ Remember (-)(-) = (+) and (-)(+) = (-)

∴ -3 = 5 + b

→ Subtract 5 from both sides

∴ -3 - 5 = 5 - 5 + b

∴ -8 = b

→ Substitute it in the equation

∴ y = - x + (-8)

∴ y = - x - 8

∴ The equation of the line is y = - x - 8

Eleanor's standardized SAT score is 1.8, and Gerald's standardized ACT score is 1.5. Eleanor has the higher standardized score.

To find the standardized scores for Eleanor and Gerald, we use the formula for standardizing a score:

Standardized score = (observed score - mean) / standard deviation

For Eleanor's SAT score:

Standardized score = (680 - 500) / 100

Standardized score = 1.8

For Gerald's ACT score:

Standardized score = (27 - 18) / 6

Standardized score = 1.5

The standardized score measures how many standard deviations an individual's score is from the mean. A standardized score of 0 represents the mean, positive scores indicate above-average performance, and negative scores indicate below-average performance.

Comparing the standardized scores, we see that Eleanor has a standardized score of 1.8, while Gerald has a standardized score of 1.5. Since higher standardized scores indicate better performance relative to the mean, Eleanor has the higher score.

Based on the standardized scores, Eleanor has the higher score compared to Gerald. However, it's important to note that the SAT and ACT scores cannot be directly compared since they have different scales and distributions. The standardized scores allow for a relative comparison within each test, but they do not indicate absolute superiority across different tests.

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Answer:

s = 41 cm

Step-by-step explanation:

Since all the sides on a square are equal, we can use this formula for perimeter:  P = 4s

Plugging in 164 gives us 164 = 4s, where solving for s gives us s = 41

The standard deviation is 4.95.

The standard deviation is the average amount of variability in your dataset. It tells you, on average, how far each value lies from the mean.

A high standard deviation means that values are generally far from the mean, while a low standard deviation indicates that values are clustered close to the mean. The standard deviation and the mean together can tell you where most of the values in your frequency distribution lie if they follow a normal distribution.

Dataset: 1,2,4,7,8

So, n = 5 (because the sample size is 5)

We calculate the mean X by taking the average of the data values, which is dividing the sum of the data values by the number of data values:

X = 1+2+4+7+8/5

X=22/5 = 4.4

So, the average is 4.4

For standard deviation calculation,

$ = \({\sqrt{(x-X)^2/n-1} }\)

Thus, the standard deviation is 4.95.

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The surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters is 1,670.5 square meters.

The surface area of a cone is calculated using the following formula:

Surface area = πr² + πrl, where π is approximately equal to 3.14, r is the radius of the base of the cone, and l is the slant height of the cone.

In this problem, we are given that the height of the cone is 42 meters and the diameter of the base is 24 meters. The radius of the base is half of the diameter, so the radius is 12 meters. The slant height of the cone can be calculated using the Pythagorean theorem.

l² = 12² + 42²

l² = 1764

l = 42.01 meters

The surface area of the cone is then calculated as follows:

Surface area = πr² + πrl

Surface area = 3.14 * 12² + 3.14 * 12 * 42.01

Surface area = 1,670.5 square meters

Here are some additional explanations:

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Answer:

1600

Step-by-step explanation:

40x40

Answer: The general form for an equation that models a wave is this: (+/-) a (sin/cos) (2π(x-p)/T), where a is your amplitude, p is your phase shift, and T is your period. The (+/-) becomes + if the graph is to start in the positive direction, and - if it is to start in the negative direction. The (sin/cos) becomes sine if the graph is to start at 0 before being shifted, while it becomes cosine if the graph is to start at the amplitude.

In this case, our graph starts out negative, and at the amplitude with no phase shift, so the (+/-) becomes -, (sin/cos) becomes cos, and p is zero. Substituting in the values given in the problem, a = 9 and T = 7, we find this equation: d = -9cos(2πt/7).

Step-by-step explanation:

Answer:

1.) 27a^11 + 18a^9 -72a^7

2.) 6p^4q^3 - 10p^3q + 4p^2q3

Step-by-step explanation:

1.) Distribute and do the math

-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2

27a^11 + 18a^9 -72a^7

2.)  Distribute and do the math

2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2

6p^4q^3 - 10p^3q + 4p^2q3

The standard deviation is a statistical measure that tells us how spread out the data is from the mean.

In this case, we are given the mean amount of food eaten by 10 dogs in a lab, which is 14 oz, and the sum of squared deviations from the mean, which is 220. The standard deviation can be calculated using the formula: standard deviation = square root of (sum of squared deviations / number of observations). By plugging in the given values, we get a standard deviation of 4.69 oz.

This value means that the amount of food eaten by each dog varies from the mean by an average of 4.69 oz. A smaller standard deviation indicates that the data is tightly clustered around the mean, while a larger standard deviation indicates that the data is more spread out. In this case, a standard deviation of 4.69 oz suggests that there may be some variability in the amount of food eaten by the dogs in the lab. Further analysis may be necessary to determine if this variability is significant and if any factors are influencing it.

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Answer:

Step-by-step explanation:

Other ways are:

So in total there are:

Answer:

8u - 20

Step-by-step explanation:

Answers: 5 mph East and 50 mph South

Reason

A velocity has two components: A speed and a direction.

Answer:

Please have a look.........

Answer:

93

Step-by-step explanation:

the total of all those are 150 so if you multiply it by three you get 450

so multiply pizza by three too

to get 93

Answer:

93 students

Step-by-step explanation:

You first need to add up all the numbers on the chart, 36 + 29 + 54 + 31. You would then get 150. Divide 450 / 150 = 3. You multiply the amount of students chose pizza by 3 and you get 93. 31 * 3 = 93.

Therefore, 93 students would say pizza is there favorite food.

Hope this helps :)

The range of the function f(x) = \(-2^{x}\) + 4 is -∞ < y < 4.

What is range of a function?

All potential values for y are included in a function's range. The equation to determine a function's range is Y = f. (x). If every x value has exactly one y value, then it is merely a function in a relation.

We are given a function which is defined as  f(x) = \(-2^{x}\) + 4.

We know that range is the output we get after substituting the value of x.

So, in this situation, we will get the value for y less than 4 or equal to 4 because when x = 0, we will get 4 and when x = 1, we will get 2 as there is a minus sign before 2 due to which this will be always a negative value.

Thus, the range of the function will be -∞ < y < 4.

Hence, the third option is the correct option.

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Answer:

4x+10y=-24

-2x+y=-24

2x+11y=-48

48+2x=0

48+11y =0

48=2x

48=11y

48/2 =2x/2

48/11=11y/11

x=24

y= 48/11

To find the transitive closure of the relation R = {(1,2), (1,4), (2,3), (3,1), (4,2)} on the set (1, 2, 3, 4)
The transitive closure of R is:
{(1,2), (1,4), (2,3), (3,1), (4,2), (1,3), (2,1), (3,2), (3,4), (4,3)}

1. Begin with the original relation R.
2. For each pair of ordered pairs in R, if the second element of the first pair matches the first element of the second pair, add a new ordered pair with the first element of the first pair and the second element of the second pair.
3. Continue until no more new ordered pairs can be added.

Applying these steps, we get:

- From (1,2) and (2,3), we add (1,3).
- From (1,4) and (4,2), we add (1,2) (which is already in R).
- From (2,3) and (3,1),we add (2,1).
- From (3,1) and (1,2), we add (3,2).
- From (3,1) and (1,4), we add (3,4).
- From (4,2) and (2,3), we add (4,3).

The transitive closure of R is:
{(1,2), (1,4), (2,3), (3,1), (4,2), (1,3), (2,1), (3,2), (3,4), (4,3)}

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Answer:

3.9 x 10^6

Step-by-step explanation:

3.9 x 10^6

Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.

Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:

160B + 256C ≤ 6400c

Inequality stating that the engineer has at least 12 million pesos to spend for materials:

600B + 800C ≤ 12000d

. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C

Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.

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In a survey of 100 people who had recently purchased motorcycles, data on the following variables were recorded: age, gender, brand preference, type of motorcycle, and intended use.

The survey aimed to gain insights into the preferences and demographics of motorcycle buyers.

Age: The age range of the respondents varied from 18 to 60 years, with an average age of 32. To calculate the average age, the sum of all ages was divided by the total number of respondents (100).

Gender: The survey found that 80% of the respondents were male, while 20% were female. This indicates a significant gender imbalance in motorcycle purchases, with males being the predominant buyers.

Brand Preference: Among the respondents, 40% preferred brand A, 30% preferred brand B, and 30% preferred brand C. This data suggests that brand A has the highest market share, followed by brand B and brand C.

Type of Motorcycle: The survey revealed that 60% of the respondents purchased sport bikes, 30% opted for cruisers, and 10% chose dual-purpose motorcycles. This indicates a strong preference for sport bikes among the surveyed buyers.

Intended Use: Regarding the intended use of the motorcycles, 50% of the respondents purchased motorcycles for commuting purposes, 30% for recreational riding, and 20% for off-road adventures.

The survey highlights some key trends among recent motorcycle buyers. The average age of purchasers was 32, with males comprising the majority of buyers. Brand A had the highest preference among the surveyed individuals, followed by brand B and brand C. Sport bikes were the most popular type of motorcycle, chosen by 60% of the respondents, while cruisers and dual-purpose motorcycles had smaller market shares. Additionally, the survey revealed that motorcycles were predominantly purchased for commuting purposes, followed by recreational riding and off-road adventures. These insights can be valuable for motorcycle manufacturers and marketers to understand consumer preferences and tailor their strategies accordingly.

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