What does congruent mean square?

Answer:

y² + 11y + 18

Step-by-step explanation:

y² + 9y + 2y + 18

y² + 11y + 18

The level of measurement that is appropriate for a classification where students are asked to rank their professors as good, average, or poor is the ordinal level of measurement.

Ordinal level of measurement is a statistical measurement level.

It involves dividing data into ordered categories.

For instance, when asked to rank teachers as good, average, or poor, the students' rating of the teachers falls under the ordinal level of measurement.

The fundamental characteristic of ordinal data is that it can be sorted in an increasing or decreasing order.

The numerical values of the categories are not comparable; instead, the categories are arranged in a specific order.

The ordinal level of measurement, for example, provides the order of the data but not the size of the intervals between the ordered values or categories.

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Answer:

7/37 are taking Chinese

Step-by-step explanation:

Total taking chinese is 7 and the total number of students all together are 37. So 7 out of 37 are taking chinese

Answer:

\(\frac{7}{37\\}\)

Step-by-step explanation:

There are 7 students choosing Chinese and 37 total students. You can simplify the equation more therefore the answer is \(\frac{7}{37}\)

Based on the given function the r(t) = (1/6)t^6 i + (e^t - 1) j + (e^3t - 1) k

Given r'(t) = t^5 i + e^t j + 3te^3t k, we can integrate each component separately to obtain r(t).

Integrating the x-component, we get ∫t^5 dt = (1/6)t^6 + C1, where C1 is the constant of integration.

Integrating the y-component, we get ∫e^t dt = e^t + C2, where C2 is the constant of integration.

Integrating the z-component, we get ∫3te^3t dt = (e^3t - 1) + C3, where C3 is the constant of integration.

Putting all the components together, we get r(t) = (1/6)t^6 i + (e^t - 1) j + (e^3t - 1) k + C1 i + C2 j + C3 k.

Now, using the initial condition r(0) = i + j + k, we can substitute t = 0 into the expression for r(t) to solve for the constants C1, C2, and C3.

r(0) = (1/6)(0)^6 i + (e^0 - 1) j + (e^(3*0) - 1) k + C1 i + C2 j + C3 k

r(0) = i + j + k

Comparing the coefficients of i, j, and k on both sides, we get C1 = 0, C2 = 1, and C3 = 1.

Substituting these values back into the expression for r(t), we obtain the final answer:

r(t) = (1/6)t^6 i + (e^t - 1) j + (e^3t - 1) k.

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a. To solve for the correct value of the expression : (2)/(3) + (1)/(2)(8 + 3(1)/(4)) `=` 2/3 + 1/2(8 + 3/4) `=` 2/3 + 1/2(33/4) `=` 2/3 + 33/8 To add these fractions, we need to find the lowest common denominator which is 24.2/3 * 8/8 = 16/24 ; 33/8 * 3/3 = 99/24

So, 16/24 + 99/24 = 115/24 Therefore, the correct value of the expression is 115/24.

b. Josiah likely made the error of forgetting to convert the mixed number (1)/(4) to an improper fraction before multiplying 3 by it. Instead, he may have multiplied 3 by the whole number 1.

This would result in the incorrect value of 13(1)/(8).

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Answer:

RnS=20

Step-by-step explanation:

because 20 can be found in R and at the same time can be found in S

The final itinerary will depend on your preferences, the specific national parks you plan to visit, and the distances between them.

Let's clarify the itinerary for the 15-day tour visiting 5 national parks.

You have a 15-day tour, and you plan to visit 5 national parks. Each park will have a stay of two days.

When you multiply the number of parks (5) by the number of days spent in each park (2), you get a total of 10 days allocated for staying in those 5 parks.

However, there seems to be a discrepancy in the calculation because allocating 10 days for park stays leaves only 5 days remaining, not 15.

To resolve this issue and ensure a 15-day tour, we need to reevaluate the itinerary. Let's assume you want to spend two days at each park, which gives you a total of 10 days for park stays.

To fill the remaining 5 days, you have a few options:

1. Travel Days: You can allocate a day for travel between each park, which would require an additional 4 days. This accounts for the transportation time and allows you to enjoy the journey between the parks.

2. Additional Park Visits: If there are other nearby national parks or attractions in the area, you can extend your tour to include visits to these places. This would allow you to explore more diverse locations and make the most of your 15-day tour.

3. Rest and Relaxation: Alternatively, you might choose to use the extra days for relaxation or leisure activities. You can spend some time enjoying the amenities and attractions available near the parks, such as hiking trails, wildlife observation, or local cultural experiences.

Ultimately, the final itinerary will depend on your preferences, the specific national parks you plan to visit, and the distances between them. Make sure to consider travel times, desired activities, and any additional locations you wish to explore when creating your 15-day tour.

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The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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The mathematical term best defined as two lines that intersect each other at 90° angles is "perpendicular lines." Perpendicular lines are lines that meet or cross each other at right angles (90°).

When two lines are perpendicular, their slopes are negative reciprocals of each other.

The mathematical term that is best defined as two lines that intersect each other at 90° angles is "perpendicular".

When two lines are perpendicular, they form four right angles where they intersect.

In geometry, perpendicular lines are very important, as they are used in many different types of proofs and calculations.

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Answer:

C. 14 and 2/3

Answer:

C

Step-by-step explanation:

17 - 2 1/3

17 -2 -1/3

15 -1/3

14 2/3

m is the angle formed by the two parallelogram sides that are next to each other. Because all angles in a parallelogram are equal, m is equal to all other angles in the parallelogram.

A parallelogram is a four-sided form having two parallel sides and four right angles on each side. Both sides are straight and opposite sides are equal in length. A parallelogram's opposing angles are also equal.

M is the angle subtended by the parallelogram JKLM. A parallelogram is a four-sided form with parallel and equal-length opposing sides. A parallelogram's angles are also equal in size. As a result, m is an angle of the parallelogram JKLM and is proportional to the other angles of the parallelogram JKLM.

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Given:

Required:

To find the closest fractional equivalent for the given decimal number.

Explanation:

Consider the given decimal number

Multiply to remove 1 decimal places. Here, you multiply top and bottom by 10.

Therefore,

Final Answer:

The correct value of the net pay for employee 1101 is $30.18.

To calculate the net pay for employee 1101, we need to subtract the deductions (FIT, FICA, S200, and any other deductions) from the gross pay.

Given the information provided, we can see that the gross pay for employee 1101 is $138.46. The deductions for employee 1101 are $43.61 (FIT), $59.67 (FICA), $5 (S200), and $0 (other deductions).

Net pay = Gross pay - Deductions

= $138.46 - ($43.61 + $59.67 + $5 + $0)

= $138.46 - $108.28

= $30.18

Therefore, the net pay for employee 1101 is $30.18.Given the information provided, the gross pay for employee 1101 is $138.46. The deductions for employee 1101 are $43.61 (FIT), $59.67 (FICA), $5 (S200), and $0 (other deductions).

To calculate the net pay, we subtract the total deductions from the gross pay:

Net Pay = Gross Pay - Total Deductions

Total Deductions = FIT + FICA + S200 + Other Deductions

= $43.61 + $59.67 + $5 + $0

= $108.28

Net Pay = $138.46 - $108.28

= $30.18

Therefore, the net pay for employee 1101 is $30.18.

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A club is forming a committee to plan its annual Holiday Dance. One person will serve as Chair of the committee, another will be Vice-Chair and there will be two other members.  this is an example of a combination

Combining is a way of calculating the total score for an event, regardless of the order of the scores. To calculate the combination, use the formula nCr = n! /r! * (n - r)!, where n is the total number of items and r is the number of items selected at one time.

The combination is a mathematical technique that determines the number of possible arrangements within a collection of items, regardless of the order of selection.

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Answer:

2y=5x-2

Write the equation in the form of y = mx + b

where m is the gradient and b is the y-intercept.

Therefore, 2y=5x-2 will be:

y = 5/2x - 1

Gradient is 5/2

and y-intercept is (0,-1)

Answer:

1.6

Step-by-step explanation:

12.8/8 = 1.6

15.2/9.5 = 1.6

Scale factor = 1.6

After 5 years, the amount in the account is $118,301, and the interest earned is $10,781. To calculate the amount in the account after 5 years, we can use the formula for the future value of an ordinary annuity:

A = PMT * ((1 + r)^n - 1) / r

Where:

A = Amount in the account after the specified time period

PMT = Monthly deposit

r = Monthly interest rate (annual interest rate divided by 12)

n = Total number of monthly deposits (time period in years multiplied by 12)

Given:

Monthly deposit (PMT) = $1,728

Annual interest rate = 6.6%

Time period = 5 years

First, we need to calculate the monthly interest rate (r) and the total number of monthly deposits (n):

r = 6.6% / 100 / 12 = 0.0055 (decimal)

n = 5 years * 12 = 60 months

Now we can plug these values into the formula to find the amount in the account after 5 years (A):

A = 1,728 * ((1 + 0.0055)^60 - 1) / 0.0055

Using a calculator, the amount in the account after 5 years comes out to be approximately $118,301 (rounded to the nearest dollar).

To calculate the amount of interest earned, we can subtract the total deposits made from the amount in the account:

Interest = A - (PMT * n)

Interest = 118,301 - (1,728 * 60)

Using a calculator, the interest earned comes out to be approximately $10,781 (rounded to the nearest dollar).

Therefore, after 5 years, the amount in the account is $118,301, and the interest earned is $10,781.

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Answer:

Step-by-step explanation:

look at each picture to see what they are stating is the same in each of the triangles... the marks thur the lines means they are the same length, or the double or triple arcs in the angles means those are the same.  so if there are two sides that are the same... you can say SSS , if there are two angles that are the same you can say  ASA  .  the one where there is one side and one angle the same  you can say SAS .... hmmm  kinda get it?

Answer: Its b the answer

Step-by-step explanation:

b

Answer:

h= -28

Step-by-step explanation:

h+14=-14 isolate h by subtracting 14 on both sides

h= -28

Answer:

h=-28

Step-by-step explanation:

k byeeeeeeeeeeeeee:)

The height of a juice cylinder container with base area of 100 cm² and volume of 1500 cm³ is 15 cm

Base area = πr²

base area = 100 cm²

100 = π × r²

r² = 100 / π

r = √100 / π

volume = πr²h

1500 = π (√100 / π)² × h

1500 = π(100 / π) × h

1500 = 100h

divide both sides by 100

h = 1500 / 100

h = 15 cm

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The first four nonzero terms in the power series expansion for the general solution to the given differential equation about x0 are determined by setting coefficients of each power of (x - x0) to zero.

To find the power series expansion for the general solution to the given differential equation, let's assume the solution can be expressed as a power series:

y(x) = ∑[n=0 to ∞] a_n(x - x0)^n

Differentiating the series term by term, we have:

y'(x) = ∑[n=0 to ∞] n * a_n * (x - x0)^(n-1)

y''(x) = ∑[n=0 to ∞] n * (n-1) * a_n * (x - x0)^(n-2)

Substituting these into the differential equation (x^2 - 1)y'' - xy' = 0, we get:

(x^2 - 1) * ∑[n=0 to ∞] n * (n-1) * a_n * (x - x0)^(n-2) - x * ∑[n=0 to ∞] n * a_n * (x - x0)^(n-1) = 0

Now, we can expand and collect terms:

∑[n=0 to ∞] n * (n-1) * a_n * (x^2 - 1) * (x - x0)^(n-2) - ∑[n=0 to ∞] n * a_n * x * (x - x0)^(n-1) = 0

To find the first four nonzero terms, we can start with the term with the lowest power of (x - x0) and proceed with increasing powers. Let's go through the terms:

For n = 0:

0 * (-1) * a_0 * (x^2 - 1) * (x - x0)^(-2) - 0 * a_0 * x * (x - x0)^(-1) = 0

For n = 1:

1 * 0 * a_1 * (x^2 - 1) * (x - x0)^(1-2) - 1 * a_1 * x * (x - x0)^(1-1) = 0

For n = 2:

2 * 1 * a_2 * (x^2 - 1) * (x - x0)^(2-2) - 2 * a_2 * x * (x - x0)^(2-1) = 0

For n = 3:

3 * 2 * a_3 * (x^2 - 1) * (x - x0)^(3-2) - 3 * a_3 * x * (x - x0)^(3-1) = 0

By simplifying these equations, we can determine the first four nonzero terms in the power series expansion for the general solution to the given differential equation about x0.

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So what is the question?

Answer:

24 inches

Step-by-step explanation:

30 divided 5

that equals 6

then times 6 with 4

you get 24 inches

The values of the given trig functions in terms of sinθ and/or cosθ are:

sinθ = tanθ.cosθ

cosθ = sinθ/tanθ

secθ = 1/cosθ

cscθ = 1/sinθ

tanθ = sinθ/cosθ

cotθ = cosθ/sinθ

From the question, we are to determine the values of the given trig functions in terms of sinθ and/or cosθ

NOTE: tanθ = sinθ / cosθ

∴ sinθ = tanθ.cosθ

From above, we can write that

cosθ = sinθ/tanθ

Secant is the inverse of cosine

∴ secθ = 1/cosθ

Cosecant is the inverse of sine

∴ cscθ = 1/sinθ

tanθ = sinθ/cosθ

Cotangent is the inverse of tangent
∴ cotθ = 1/tanθ

But, tanθ = sinθ/cosθ

∴ cotθ = cosθ/sinθ

Hence, the values of the given trig functions in terms of sinθ and/or cosθ are:

sinθ = tanθ.cosθ

cosθ = sinθ/tanθ

secθ = 1/cosθ

cscθ = 1/sinθ

tanθ = sinθ/cosθ

cotθ = cosθ/sinθ

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Answer:

24 is the answer

Step-by-step explanation:

add the numbers and divide them by 7

Altogether, they would donate a total of 380 milliliters of blood.

To calculate the total amount of blood donated by the military person and the civilian person, we need to determine the amount of blood donated by each individual and then sum them up. Let's go through the steps:

Calculate the amount of blood donated by the military person:

The military person donates 15% of their blood for 10 dollars. Since we don't have the specific measurement of their blood volume, we can assume a standard unit. Let's assume their total blood volume is 1 liter (1000 milliliters).

15% of 1000 milliliters = 0.15 * 1000 = 150 milliliters.

Calculate the amount of blood donated by the civilian person:

The civilian person donates 23% of their blood for 20 dollars. Using the same assumption of a blood volume of 1 liter (1000 milliliters):

23% of 1000 milliliters = 0.23 * 1000 = 230 milliliters.

Calculate the total amount of blood donated:

To find the total amount of blood donated, we sum up the amounts donated by the military person and the civilian person:

Total blood donated = 150 milliliters + 230 milliliters = 380 milliliters.

Therefore, altogether, they would donate a total of 380 milliliters of blood.

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The engraving of the Basilica of Santa Maria del Fiore in "Images of Power" showcases its religious and political significance in Renaissance Florence, emphasizing the close connection between religion and power during that time.

When assessing visual primary sources, historians should adopt a systematic approach to ensure a thorough analysis. Firstly, they should consider the source's context, including its creator, intended audience, and purpose.

Understanding these factors helps identify any biases, motives, or underlying messages embedded in the image. Secondly, historians should closely examine the content and subject matter of the visual source.

This involves identifying key elements, symbols, or figures depicted, as well as analyzing their relationships and interactions within the image.

Attention should also be given to any visual techniques or artistic styles employed, as they can provide additional insights into the source's intended meaning.

Lastly, historians should compare the visual source with other primary and secondary sources to corroborate information and gain a broader understanding of the historical context.

By analyzing multiple visual sources, historians can identify patterns, discrepancies, or shifts in representations over time, further enriching their interpretation.

One visual source included in Chapter 6 of Worlds Together, Worlds Apart is the "Images of Power" section, which showcases various visual representations of political and religious authority.

One image in particular, the "Basilica of Santa Maria del Fiore, Florence," is a 19th-century engraving of the famous Italian cathedral. By examining this image, historians can discern the architectural grandeur and religious significance of the basilica.

The presence of multiple figures, including worshippers and clergy, highlights the importance of communal worship and religious hierarchy during that period.

The image's inclusion in the "Images of Power" section suggests that the basilica also served as a symbol of political and civic authority, emphasizing the close relationship between religion and power in Renaissance Florence.

Overall, this visual source provides valuable insights into the intersection of religious, political, and cultural dynamics in the context of the Renaissance era.

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Answer:

0.25641

Step-by-step explanation:

\(\frac{15}{58.5} = 0.25641\)

Answer:

its actually 3.9

Step-by-step explanation:

how i know is i put 0.26 didnt work it was a wrong answer

Clues have not been provided in the question. However, we can still discuss how to find the value of circle plus circle. Circle plus circle refers to the sum of the areas of two circles.

Therefore, the value of circle plus circle is given by the formula:$$\text {Circle plus Circle} = πr_1^2 + πr_2^2$$ where r1 and r2 are the radii of the two circles respectively. If the values of the radii are provided, then we can substitute them in the above formula to find the value of circle plus circle. To find the value of circle plus circle, we need to add the areas of two circles. As we already know that a circle is a geometric figure having no end. It has many properties. One of its properties is that its area can be measured. When we talk about the area of a circle, we are referring to the region enclosed by it.

The area of a circle is given by the formula: A = πr², where A is the area of the circle and r is its radius. The symbol π represents the constant pi, which is approximately equal to 3.14. Therefore, the area of a circle is proportional to the square of its radius. If we have two circles with radii r1 and r2, then the area of the first circle is given by A1 = πr1², and the area of the second circle is given by A2 = πr2². To find the sum of the areas of the two circles, we simply add their respective areas, i.e., Circle plus Circle = A1 + A2 = πr1² + πr2². This is the formula for finding the value of circle plus circle. If the values of the radii are provided, then we can substitute them in the above formula to find the value of circle plus circle. Therefore, we can say that the value of circle plus circle is given by the formula Circle plus Circle = πr1² + πr2², where r1 and r2 are the radii of the two circles respectively.

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