Find the rule. Solve for n. Х Y 4 3 6 5 7 6 10 n Rule: ​

Answer:

∠ O = 61°, ∠ N = 119°

Step-by-step explanation:

In a parallelogram

Consecutive angles are supplementary

Opposite angles are congruent, thus

x + 2x - 3 = 180

3x - 3 = 180 ( add 3 to both sides )

3x = 183 ( divide both sides by 3 )

x = 61°

Thus

∠ O = ∠ M = x = 61°

∠ N = ∠ P = 2x - 3 = 2(61) - 3 = 122 - 3 = 119°

The graph representing the interaction between meditation. Scull’s prediction that engaging in both activities does not produce any more benefit than either activity alone was wrong.

The interaction between exercise and meditation is more pronounced, indicating that it is necessary to engage in both activities to achieve better grades. Students who meditate and exercise regularly received better grades than those who did not meditate or exercise at all. According to the table of means, students who exercised but did not meditate had a mean of 3.6, students who meditated but did not exercise had a mean of 3.5, students who did not meditate or exercise had a mean of 2.5, and students who meditated and exercised had a mean of 3.8.

The mean score for the group who exercised but did not meditate was lower than the mean score for the group who meditated but did not exercise. The mean score for the group that neither meditated nor exercised was the lowest, while the group that meditated and exercised had the highest mean score.

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Answer:

I don't know and I love your mother and what she does to me every night

Answer:

0.79

Step-by-step explanation:

First we need to find the price of one pen:

1.98/2 = 0.99 per pen

Then we find the price of 4 pens and subtract that from 4.75:

0.99 times 4 = 3.96

4.75 - 3.96 = 0.79 per ruler

These interstates provide vital transportation routes, enabling efficient connectivity between the towns. The highway system allows for convenient travel and transportation of goods and services among the interconnected towns, fostering economic development and regional connectivity.

The specific routes and intersections of these interstates play a crucial role in facilitating travel and supporting the transportation needs of the communities they serve. Interstate highways connect the six towns A, B, C, D, E, and F as follows:

- Interstate 77 (I-77) runs from town B, passes through town A, and continues to town E.

- Interstate 82 (I-82) starts from town C, goes through town D, then passes through town B, and finally reaches town F.

- Interstate 85 (I-85) begins from town D, passes through town A, and ends at town F.

- Interstate 90 (I-90) starts from town C, goes through town E, and terminates at town F.

- Interstate 91 (I-91) runs directly from town D to town E.

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Answer:

12

Step-by-step explanation:

Hello. Y/x = a constant k because y and x are by definition always in the same ratio. (y varies directly as x so if x is doubled y is also doubled etc.)

The Clock class can be completed by defining instance variables for hours and minutes.

In order to complete the Clock class, we need to define two instance variables: one for hours and one for minutes. These variables will hold the current time displayed on the digital clock. The hours variable should be an integer between 0 and 23, while the minutes variable should be an integer between 0 and 59.

To advance the time, we can create a method called "advance" that will be triggered once a minute. Inside this method, we can increment the minutes variable by 1. However, if the minutes variable reaches 60, we need to reset it back to 0 and increment the hours variable by 1. If the hours variable reaches 24, we can set it back to 0 to maintain the 24-hour format.

By using these instance variables and implementing the "advance" method, we can simulate the behavior of a digital clock that receives a pulse every minute and updates the time accordingly.

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(A)  In triangle ABC

Angle A = 10° ,Angle B = 115° ,Angle C = 55° ,Side a = 1.6 in ,Side b = 18 in ,Side c = 17.2 in

(B) In triangle ABC

Angle A = 74.4° , Angle B = 34º, Angle C = 71.6°, Side a = 55 inches, Side b = 33.6 inches Side c = 32 inches

(a) A = 10°, B = 115°, and b = 18 in

The sum of the angles in a triangle is 180°.

C = 180° - A - B

C = 180° - 10° - 115°

C = 55°

The Law of Sines:

a / sin(A) = b / sin(B)

a / sin(10°) = 18 /sin (115°)

a = (18 in × sin(10°)) / sin(115°)

a =1.60 in

Angle A = 10°

Angle B = 115°

Angle C = 55°

Side a = 1.6 in

Side b = 18 in

c / sin(C) = b / sin(B)

c / sin(55°) = 18 in / sin(115°)

c = (18 in × sin(55°)) / sin(115°)

c = 17.2 in

b)  B = 34º, a = 55 inches, and c = 32 inches

Using the law of cosine

b = \(\sqrt{a^{2} +c^{2} -2ac(cosB)}\)

b = \(\sqrt{55^{2} + 32^{2} - 2(55)(32)cos34 }\)

b = 33.6 in

a = \(\sqrt{b^{2} +c^{2} -2bc(cosa)}\)

55 = \(\sqrt{33.6^{2} + 32^{2} - 2(33.6)(32)cosA }\)

CosA = 0.405

A = 74.4°

A + B + C = 180

C = 180 - 34 - 74.4

C = 71.6°

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Answer:

mean: 28.73

median: 30

Mode: 42

Range: 36

Step-by-step explanation:

Took the test on edge2020

Answer:

Students from Grover Middle School are recycling aluminum cans. The table shows the total number of cans brought in each school day for a period of six weeks. They collected a total of 862 cans. Use the drop-down menus to define the terms.

Mean:  

✔ 28.73

Median:  

✔ 30

Mode:  

✔ 42

Range:  

✔ 36

Step-by-step explanation:

Correct answers

Answer:

Step-by-step explanation:

They are both congruent and they are both the same shape from different angels so the values of a=8 and the value for b=10.

I think this should help.

The given statement is True because If the sample mean is close to the population parameter, it suggests representative sampling regarding the variable of interest, although other factors should be considered too.

When the sample mean closely approximates the population parameter, it indicates that the sample is capturing the central tendency of the population. The mean is a measure of central tendency that reflects the average value of the variable of interest in the population.

If the sample mean is similar to the population mean, it suggests that the sample is a good representation of the population in terms of that particular variable.

However, it is important to note that representativeness is a relative concept. A sample may be considered representative in one sense but not necessarily in all aspects. Other factors, such as the sampling method, sample size, and sampling bias, also influence the representativeness of a sample.

In summary, when the obtained mean of the observations in a research study is close to the population parameter, it provides evidence that the sample is representative of the target population to some degree, indicating that the sample captures the central tendency of the population for the variable under investigation.

However, representativeness should be assessed in consideration of other factors as well.

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Answer:

yor answer is 52

Step-by-step explanation:

If the shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches then, the perimeter of the shape is 91.4 inches.

To find the perimeter of the shape, we need to know the length of the curved boundary (the circumference of the half-circle) and the length of the straight boundary (the perimeter of the equilateral triangle).

The radius of the half-circle is half the length of the side of the equilateral triangle, which is 10 inches. Therefore, the circumference of the half-circle is:

C = πr = π(10) = 31.4 inches.

The perimeter of the equilateral triangle is 3 times the length of one side, which is 20 inches. Therefore, the perimeter of the triangle is:

P = 3s = 3(20) = 60 inches

Finally, the perimeter of the entire shape is the sum of the lengths of the curved and straight boundaries:

Perimeter = C + P = 31.4 + 60 = 91.4 inches.

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Complete Question

This shape is made up of one half-circle attached to a square with side lengths 11 inches. Find the perimeter of the shape.

You can use 3.14 as an approximation for π. help i don't know it.

Step-by-step explanation:

i) answer =1

ii) 2 -3m + 6n -2 x 3 3-m

Answer:

( i ) \(\boxed{1}\)

( ii ) \(\boxed{2^{6n - 3m - 2}\times 3^{3 - m}}\)

.

Step-by-step explanation:

( Part i )

\(\left(\frac{1}{x^{a - b}} \right)^{a + b}\left(\frac{1}{x^{b + a}} \right)^{b - a}\)

\(= \left(\frac{1}{x^{(a - b)(a + b)}} \right)\left(\frac{1}{x^{(b + a)(b - a)}} \right)\)

\(= \left(\frac{1}{x^{a^2 - b^2}} \right)\left(\frac{1}{x^{b^2-a^2}} \right)\)

\(= \frac{1}{x^{a^2 - b^2 + (b^2 - a^2)}}\)

\(= \frac{1}{x^0}\)

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

\(= \boxed{1}\)

.

( Part ii )

\(\frac{2^{m + n}\times 3^{2m + 3} \times 4^{2n -1}}{6^{2m + n}\times 12^{m - n}}\)

\(=\frac{2^{m + n}\times 3^{2m + 3} \times 2^{2(2n -1)}}{(2\times3)^{2m + n}\times (3\times 2^2)^{m - n}}\)

\(=\frac{2^{m + n}\times 3^{2m + 3} \times 2^{4n -2}}{2^{2m + n}\times3^{2m + n}\times 3^{m - n}\times 2^{2(m - n)}}\)

\(=\frac{2^{m + n + 4n - 2}\times 3^{2m + 3}}{2^{2m + n + 2m - 2n}\times3^{2m + n + m - n}}\)

\(=\frac{2^{m + 5n - 2}\times 3^{2m + 3}}{2^{4m - n}\times3^{3m}}\)

\(= 2^{m + 5n - 2 - (4m - n)}\times3^{2m + 3 - 3m}\)

\(= \boxed{2^{6n - 3m - 2}\times 3^{3 - m}}\)

.

Happy to help :)

The recursive rule for the number of acres at the beginning of the nth day in a forest fire that grows by 20% each day and is battled by firefighters who can put out 15 acres per day is given by: A(n) = 1.2 * A(n-1) - 15, where A(n) represents the number of acres at the beginning of the nth day. Using this rule, we can calculate that there are 89.6 acres burning at the beginning of the 8th day.

Explanation: To determine the recursive rule for the number of acres at the beginning of the nth day, we need to consider the given information. The forest fire initially covers 60 acres and grows by 20% each day. This means that the number of acres at the beginning of the next day (n+1) is 1.2 times the number of acres at the beginning of the current day (n). However, the firefighters are able to put out 15 acres of fire per day.

Therefore, to calculate A(n), we start with the initial number of acres, which is 60, and apply the recursive rule. A(n) = 1.2 * A(n-1) - 15. This formula takes into account the growth of the fire by 20% and the reduction of 15 acres due to the firefighters' efforts. By substituting the values, we can calculate the number of acres at the beginning of each day.

To find the number of acres burning at the 8th day, we substitute n = 8 into the recursive rule. A(8) = 1.2 * A(7) - 15. We need to determine A(7) first by substituting n = 7, and so on, until we reach the initial value A(1) = 60. Once we have calculated A(8), we can determine that there are 89.6 acres burning at the beginning of the 8th day

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tan(41π/36) can be written in terms of the tangent of a positive acute angle as (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

To express tan(41π/36) in terms of the tangent of a positive acute angle, we need to find an angle within the range of 0 to π/2 that has the same tangent value.

First, let's simplify 41π/36 to its equivalent angle within one full revolution (2π):

41π/36 = 40π/36 + π/36 = (10/9)π + (1/36)π

Now, we can rewrite the angle as:

tan(41π/36) = tan((10/9)π + (1/36)π)

Next, we'll use the tangent addition formula, which states that:

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B))

In this case, A = (10/9)π and B = (1/36)π.

tan(41π/36) = tan((10/9)π + (1/36)π) = (tan((10/9)π) + tan((1/36)π)) / (1 - tan((10/9)π)tan((1/36)π))

Now, we need to find the tangent values of (10/9)π and (1/36)π. Since tangent has a periodicity of π, we can subtract or add multiples of π to get equivalent angles within the range of 0 to π/2.

For (10/9)π, we can subtract π to get an equivalent angle within the range:

(10/9)π - π = (1/9)π

Similarly, for (1/36)π, we can add π to get an equivalent angle:

(1/36)π + π = (37/36)π

Now, we can rewrite the expression as:

tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

Since we are looking for an angle within the range of 0 to π/2, we can further simplify the expression as:

tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

Therefore, tan(41π/36) can be written in terms of the tangent of a positive acute angle as the expression given above.

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Answer:

The answer is explained below

Step-by-step explanation:

Statement                                                        Reason

Triangle ACD is isosceles and                         Given

<1 = <3 (<1 is congruent to <3)                                                            

∠3 = ∠4                                                             Isosceles   triangle base angles.

∠1 = ∠4                                                              Substitution Theorem

∠1 = ∠4                                                             They are produced by two lines .                                                                         AB and CD cut by transversal  

.                                                                         line AD

Segment AB || Segment CD                           Alternate interior angle theorem  

The Alternate interior angle theorem states that if two lines cut by a transversal line form congruent alternate interior angles, then the two lines are parallel to each other.

Answer: 405 students

Step-by-step explanation:

From the question, Banneker Middle School has 750 students and we are told that Lynn surveys a random sample of 50 students and finds that 27 have pet dogs. The number of students at the school that are likely to have pet dogs goes thus:

Since out of 50 students surveyed, 27 have pet dogs, this means we multiply the fraction by 750. This can be mathematically written as:

= 27/50 × 750

= 27 × 15

= 405

This means 405 students are expecting to have pet dogs.

There are generally  \(6.776 x 10^{35}\)  particular combinations of 29 inflatables(balloons) that can be chosen from the store. 

Given data,

Since there are 8 colors of balloons,

 we need to select 29 balloons from each color to

Calculate a total of 29 x 8 = 232 balloons.

We need to find the number of different combinations of 29 balloons

that can be chosen from this set of 232 balloons.

Able to utilize the condition for combinations:  

we know that,

 C(n, r) = n! / (r! * (n - r)!) ...........(1)

where n is the complete number of things

and C is the combination of given(29) balloons.

 r is the number of things to choose.

Substituting the above values into equation (1)

 we get   

C(232, 29) = 232! / (29! * (232 - 29)!) = \(6.776 x 10^{35}\)

 Along these lines, there are generally \(6.776 x 10^{35}\)  particular combinations of 29 inflatables(balloons) that can be chosen from the store.

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Answer:

8

Step-by-step explanation:

if the 5 aka water is equal to 20, then one unit is equal to 4, and multiply 4 by 2 to get 8.

Pls brainliest

So Katya needs 21.42 gallons of gas for 600 miles.

A Linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Given we have Katya have to take a trip for 600 miles.

Let x be number of gallons of gas y be number of miles driven by Katya

We have an relation from table that 28X = Y and Y we have from table 600

So 28X = 600 and \(X = \frac{600}{28}\)

X= 21.42 gallons .

Therefore Katya needs 21.42 gallons of gas for 600 miles.

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According to the law of exponent for abelian groups (ab)^n = a^n b^2 is not necessarily true for non-abelian groups.

Using the distributive law repeatedly, we have:(ab)^n = (ab)(ab)...(ab) (n times)

= a(ab)(ab)...(ab) (n-1 times) b

= a(a(ab)(ab)...(ab) (n-2 times) b)b

= a^2 (ab)(ab)...(ab) (n-2 times) b^2

= ...

= a^n b^n

Therefore, (ab)^n = a^n b^n for any abelian group and any integer n.

However, this is not necessarily true for non-abelian groups. For example, consider the dihedral group D4 which is the symmetry group of a square. Let a be a 90 degree clockwise rotation and b be a horizontal reflection. Then (ab)^2 = a(ba)b = ae = e, where e is the identity element. However, a^2 = b^2 = e, so (ab)^2 = e^2 = e, which is not equal to a^2b^2 = e. Hence, the law of exponents does not hold for D4

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Answer:

redes sociales fff

ffkr

Answer:

24

Step-by-step explanation:

Answer

24!

Step-by-step explanation:

Person above me is correct :)

Root x = 2 is an extraneous solution for radical equation √(4 · x - 7) - √(2 · x) = 1, whose roots are 2 and 8, respectively.

In this problem we find the definition of a radical equation, whose roots must be found by combining algebra properties and power properties. A root is an extraneous solution if the result lead to an absurdity. (i.e. 1 = 0).

First, write the complete expression:

√(4 · x - 7) - √(2 · x) = 1

Second, apply algebraic substitution formula u = 2 · x to simplify the model:

√(2 · u - 7) - √u = 1

Third, use algebra properties to clear square roots:

√(2 · u - 7) = 1 + √u

Fourth, square both sides of the expression:

2 · u - 7 = (1 + √u)²

2 · u - 7 = 1 + 2 · √u + u

u - 7 = 1 + 2 · √u

u - 2 · √u - 8 = 0

Fifth, use algebraic substitution k = √u and solve the quadratic-like equation by factorization:

k² - 2 · k - 8 = 0

(k - 4) · (k + 2) = 0

k₁ = 4 or k₂ = - 2

Sixth, find the values of x by reversing algebraic substitutions:

√u₁ = 4 or √u₂ = - 2

u₁ = 4² or u₂ = (- 2)²

2 · x₁ = 4² or 2 · x₂ = (- 2)²

x₁ = 8 or x₂ = 2

Seventh, look for any extraneous solution:

x₁ = 8

√(4 · 8 - 7) - √(2 · 8) = 1

√25 - √16 = 1

5 - 4 = 1

1 = 1

x₂ = 2

√(4 · 2 - 7) - √(2 · 2) = 1

√1 - √4 = 1

1 - 2 = 1

- 1 = 1 (CRASH!)

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Answer:

16 sq. unit

Step-by-step explanation:

Area = ½ × base × height

= ½ × 8 × 4

= 16 sq unit

Answer:

H. Decreasing a y-intercept moves the graph down

Answer:

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

P(x) = 66x - 22x - 6600 =

         44x - 6600

b) P(2800) = 44(2800) - 6600 =

                   $116600

Answer:

x = 54

Step-by-step explanation:

In this line, I am going to assume lines l and m are parallel.

Each flat surface is half of a circle, therefore it has 180 degrees. We are given one side and told to find the other.

180 - 116 = 64.

The other angle's total value must be 64.

Now, to solve for x, subtract 10 from 64 [inverse operations].

64-10=54

The value of x in this equation is 54 degrees.

Answer:not sure

Step-by-step explanation:

just robbing ur points

next time dont do it to me :)

False. The null hypothesis does not inherently represent a presumed default state of nature but rather serves as a reference point for hypothesis testing.

The null hypothesis does not necessarily correspond to a presumed default state of nature. In hypothesis testing, the null hypothesis represents the assumption of no effect, no difference, or no relationship between variables. It is often formulated to reflect the status quo or a commonly accepted belief.

The alternative hypothesis, on the other hand, represents the researcher's claim or the possibility of an effect, difference, or relationship between variables. The null hypothesis is tested against the alternative hypothesis to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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