ms. justen had 250 students. every year after she had 100 students. calculate the amount of students she's had in 7 years

There are 8208 different ways that the children can sit.

There are 8 children in total, so we first need to choose one of them to sit in the middle. This can be done in 8 ways.

Once the child in the middle has been chosen, the remaining 7 children can sit in a circle around them. There are (7-1)! = 6! = 720 ways to arrange 7 children in a circle. However, due to the condition that "two seatings are considered identical if the same child is in the middle in both and each child on the outside has the same child on his or her right in both seatings", we need to divide by 7 to account for the fact that there are 7 equivalent circular arrangements.

Therefore, the total number of different ways that the children can sit is:

8 x (6! / 7) = 8 x 720 / 7 = 8208

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the answer is 20 hope it helped :)

The curve of critical points that satisfies an equation of the form y = f(x) is:

y = 24tan^2(t/2) + 32tan(t/2)

To find the curve of critical points that satisfies an equation of the form y = f(x), we need to first find the critical points by setting x' and y' equal to zero:

x' = y^2 - 6x^2y - 8xy = 0

y' = xy - 6x^3 - 8x^2 = 0

Simplifying the second equation, we get:

y = 6x^2 + 8x

Substituting this expression for y into the first equation, we get:

x'(6x^2 + 8x) - 6x^2(6x^2 + 8x) - 8x(6x^2 + 8x) = 0

Simplifying this equation, we get:

(6x^2 + 8x)(x' - 36x^2 - 64) = 0

Therefore, either 6x^2 + 8x = 0 or x' - 36x^2 - 64 = 0.

Solving the first equation, we get:

2x(3x+4) = 0

This gives us two critical points: x = 0 and x = -4/3.

Now, solving the second equation, we get:

x' = 36x^2 + 64

Integrating both sides with respect to x, we get:

x = 4tan(t/2)

where t = sqrt(32)(t0 - t)

Substituting this expression for x into y = 6x^2 + 8x, we get:

y = 24tan^2(t/2) + 32tan(t/2)

Therefore, the curve of critical points that satisfies an equation of the form y = f(x) is:

y = 24tan^2(t/2) + 32tan(t/2)

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Answer:

One serving of orange juice has 30 mg more vitamin C per serving than one serving of cranberry juice

Step-by-step explanation:

If you work 12 hours per day, the total earnings under your current wage structure would be:

8 hours * £20 per hour + 4 hours * £35 per hour = £160 + £140 = £300

Under the new job offer with a flat rate of £25 per hour, your total earnings would be:

12 hours * £25 per hour = £300

Therefore, both job options would result in the same total earnings of £300 per day.

The first 8 hours of work in your current job pay £20 per hour, while the remaining 4 hours pay £35 per hour. This means that the additional 4 hours you work beyond the initial 8 hours in your current job are compensated at a higher rate. However, since the new job offers a flat rate of £25 per hour for all 12 hours of work, the total earnings for both options become equal.

In this scenario, the decision between the two job offers would not be solely based on the wage rate but could consider other factors such as job stability, benefits, work environment, career prospects, and personal preferences.

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Answer:

-16/5

and -9/4

Step-by-step explanation:

multiplying fractions means multiplying straight across and simplifying

Answer:

_16/5

_27/8

Step-by-step explanation:

I hope to help you

The MMPI-2 test is used for the assessment of psychopathology and personality of patients.

It includes 567 true-false questions, resulting in 10 clinical scales, among which one is the anxiety subscale.

A score of 30 or less is usually considered very low.

The questions are answered by the patient, usually in a clinical or research setting.

A one-sample t-test is conducted in the problem, whereby a sample of 18 participants in a yoga group is tested for anxiety scores.

The following are the parameters of the one-sample t-test:Groups:

18 participants

Null hypothesis: The anxiety scores of Felipe's yoga group are statistically equal to 30." value: 30

Type of test: One-tailed test

Alternative hypothesis: The anxiety scores of Felipe's yoga group are greater than 30.

Degrees of freedom: n - 1 = 17T-observed value: (35.2 - 30) / (10.4 / sqrt(18)) = 2.41T-critical value: 1.734

Reject or retain null hypothesis: Since the t-observed value (2.41) is greater than the t-critical value (1.734), Felipe should reject the null hypothesis, which implies that his yoga group's scores are greater than 30.P-value: 0.014Cohen’s d value: (35.2 - 30) / 10.4 = 0.5

If the " value were reduced to 0.01, Felipe would still reject the null hypothesis, since the p-value (0.014) is lower than the alpha level (0.01).

For the sample mean: 35.2CI for 42%: 35.2 ± 0.58CI for 79%: 35.2 ± 1.16CI for 95%: 35.2 ± 2.13

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Answer:B

Step-by-step explanation:

Answer:

  5, 6, 7, 8

Step-by-step explanation:

Let x represent the 2nd number. Then x+1 represents the third number, and the given relation is ...

  2(x+1) -x = 8

  x +2 = 8

  x = 6

So, the numbers are 5, 6, 7, 8.

_____

Check

  2(7) -6 = 8 . . . . true

Answer:

100 ft high

Step-by-step explanation:

you multiply

Distance from the top of the pole to the end of the shadow is 20.62 ft.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Height of pole = 20ft

Length of the shadow = 5ft

Let distance from the top of the pole to the end of the shadow be x

then by Pythagoras theorem

Hypotenuse² = Base² + Perpendicular²

x² = 5² + 20²

x² = 25 + 400

x = √425

x = 20.62 ft

Hence, 20.62 feet is distance from the top of the pole to the end of shadow.

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Answer:

-43

Step-by-step explanation:

(-3)³ - 4² = -27 - 16 = -43

Answer:

George Washington.

Step-by-step explanation:

President Washington was elected President by a unanimous election of 69 voters in 1788, and served two terms. He set about creating a strong, well-funded national government that would maintain neutrality in Europe's raging wars, quell uprisings, and gain the approval of Americans of all types. His leadership style has established many forms and rituals of government that have been used, such as the use of a cabinet system and the swearing-in of oaths. Still, the peaceful transition from his presidency to the presidency of John Adams has created a tradition that continues into the 21st century. Washington was hailed as a patriarch, even during his lifetime.

The data set is approximately symmetric. The data set is not positively skewed. The data set is not negatively skewed. The data set is unimodal. The data set is not bimodal.

(a) The stem-and-leaf display organizes the data in a tabular format. The stems represent the tens digit, and the leaves represent the ones digit. For example, the stem 1 with leaves 2 and 8 represents the values 12 and 18.

(b) To determine if the data set is symmetric, we examine the distribution of values. In this case, the stem-and-leaf display shows that the values are roughly evenly distributed on both sides of the median, indicating symmetry.

(c) Positive skewness occurs when the tail of the distribution is longer on the right side. In this data set, there is no long tail on the right side, suggesting that it is not positively skewed.

(d) Negative skewness occurs when the tail of the distribution is longer on the left side. Since there is no long tail on the left side in this data set, it is not negatively skewed.

(e) A data set is considered unimodal if it has a single peak or mode. In this case, the stem-and-leaf display shows that the value 75 appears three times, making it the mode. Thus, the data set is unimodal.

(f) A data set is considered bimodal if it has two distinct modes. In this data set, although the value 66 appears twice, it is not significantly higher than the surrounding values and does not constitute a separate mode. Therefore, the data set is not bimodal.

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The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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Answer:

\(-1.292\)

Step-by-step explanation:

The change of base formula is \(log_b(a)=\frac{log(a)}{log(b)}\), therefore:

\(log_{\frac{1}{4}}(6)=\frac{log(6)}{log(\frac{1}{4})}\approx-1.292\)

Answer:

The pythagorean theorem is:

H = \(\sqrt{s_1^2 + s_2^2}\)

With H being the hypotenuse, s1 one side, s2 the other one. He already has a side and the hypotenuse so he has to calculate the inverse formula:

s2 = \(\sqrt{H^2 - s_1^2}\)

So the real side will be:

square root of (15^2 - 10^2) = square root of (225 - 100) = 125 m

Jason made a mistake calculating the squares of the hypotenuse and the side, he didn't subtract and didn't take the root of the result.

(5, 1, -3, 5.8, -11,)

Step-by-step explanation:

basically rage is y value. and domain is x value. so in this question the domain value are given so since domain is the value of x you have to substitute the number into the x. then you get the range. the answer are (5, 1, -3, 5.8, -11,)

Answer:

Answer is A.44

Step-by-step explanation:

So we multiplying 18*2 to find a measure 18*2=36

so we know that 18*2 is equal to 36 but we now that we have 13 so. we take 36+12=44

Answer:

The answer to the given Question will be 39,260 tires .

Step-by-step explanation:

As we know Asumadu has 871 of these special duty vehicles and his sister Afia has 639 vehicles herself. In order to replace all the tires together, first we have to find out the total number of vehicle,

Total number of vehicle = No. of Asumadu's vehicle + No. of Afia's vehicle

              = 871 + 639

              = 1510

Total no. of vehicle is 1510.

We know there are 26 tires in a single vehicle.

In order to calculate the total no. of tires we have to do,

1510 * 26

= 39,260

Therefore, there are a total of 39,260 tires to be imported in order to change all the tires.

NB*- there is no answer to this question in the website so I am unable to upload any link.

8/19 or 42.1%

add all values up to a total, then find the percentage from that total.

8 + 2 + 1 + 3 + 5 = 19 balls total

8 tennis valls to 19 total.

8/19 or 42.1%

Answer:

0.7°

Step-by-step explanation:

From the figure:

CF = 4000.2 miles, CE = 4000.01 miles

so FT = √CF² - CT², TE = √CE² - CT²

so FT = 40 miles, TE = 8.94 miles

so ½ × 4000.2 × 4000.01

xsin angle FCE = ½ × 4000 × 140 + 8.94

so sin angle FCE = 0.0122

so angle FCE = 0.7°

so m SB = 0.7°

HOPE THIS HELPS AND HAVE A NICE DAY <3

The cost for renting shoes is represented by the number 3.

The cost per game is represented by the number 2.5.

The given equation is a linear one. One variable with a power of one makes up a linear equation.

y= 2.5x + 3

2.5 in the above calculation stands for the extra cost for each game played. Each game played sees an increase in this number.

When:

The additional cost is 2.5 x 1 = 2.50 for 1 game played.

If 10 games are played, the extra cost is 2.5 times 10 games, or $25.

The base rate to rent the shoes is $3. It is an ongoing expense that stays the same regardless of how many games are played.

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10^5 = 100,000

5.12 × 10^5 in standard form = 5.12 × 100,000 = 512000

Answer:

10^5 = 100,000

5.12 × 10^5 in standard form = 5.12 × 100,000 = 512000

Answer: 512,000

Step-by-step explanation:

The area of a circle with radius 4 is 50.24.

Writing the equation form for area and radius of two circles -

(Area/radius²) for circle 1 = (Area/radius²) for circle 2

Keep the values in the relation to find the area of small circle.

314/10² = Area/4²

Area = (314 × 16)/100

Performing multiplication on Right Hand Side of the equation to find the area of circle

Area = 5024/100

Performing division on Right Hand Side of the equation to find the area of circle

Area = 50.24

Hence, we see the decrease in area based on decrease in radius. Thus, the area of circle is 50.24.

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Answer:

Step-by-step explanation:

(-2 , 6)

Slope = m = -1

y =mx + b

y = -x +b

Plugin x = -2 and y = 6

6 = -(-2) + b

6 = 2 + b

6-2 = b

b = 4

y = -x + 4

x + y = 4

The ratio x:y as required in the task content is; 25:18.

It follows from the information given in the task content that;

The area of rectangle P is; 40x.

The area of rectangle Q is; y × (1.25 × 40) = 50y.

Hence, since the area of Q is 10% less than the area of P, it follows that A(q) = 0.9A(p).

And, A(p)/A(q) = 10/9

Hence, 10/9 = 40x/50y

x/y= 50/36 = 25/18

Hence, the required ratio is; 25: 18.

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Answer:

(0, 5)

Step-by-step explanation: