please help i have 15 minutes ​

Answer:

$8835.75

Step-by-step explanation:

The equation to use for this is for the area of a circle which is:

π r^2

So by plugging in 15 feet:

π 15^2,

π 225,

~706.86 ft^2.

Next, multiply this by the $12.50 per square foot.

706.86 * 12.50 = $8835.75

All done!

Factor analysis and Principal Component Analysis (PCA) are statistical techniques used to reduce the dimensionality of data sets, identify underlying patterns, and simplify data interpretation. In both methods, sample size plays a critical role in determining the accuracy and reliability of the results.

An appropriate sample size is essential for several reasons:

1. Adequate Representation: A larger sample size helps ensure that the data is representative of the population, capturing a wide range of variability and improving the generalizability of the results.

2. Statistical Power: Larger sample sizes increase the statistical power of the analysis, enabling the detection of smaller effects and providing more reliable estimates of the underlying factors or components.

3. Stability: In factor analysis and PCA, larger sample sizes lead to more stable factor structures or component loadings, increasing the likelihood that the results are replicable in different samples or across time.

4. Error Minimization: A sufficient sample size helps minimize errors and distortions in the analysis, reducing the chance of overfitting the data or extracting spurious factors or components.

While there is no one-size-fits-all rule for determining an optimal sample size, some guidelines can help. A widely cited rule of thumb is a minimum of 10 to 20 observations per variable, with more complex models or data structures requiring larger sample sizes. Another approach is to perform a power analysis or Monte Carlo simulation, considering the desired level of statistical power, effect size, and specific model parameters.

In summary, selecting an appropriate sample size for factor analysis or PCA is crucial to ensure accurate, reliable, and generalizable results. Following guidelines and considering the context of the data and research question can help make informed decisions about sample size.

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The quantity of green paint that Tyler can make with the amount of blue, yellow, and white paint available would be = 0.4 quantity of green paint.

To make his favourite shade of green paint the following quantity of paints are needed:

Blue paint = 2 cups

Yellow paint = 114 cups

White paint = 34 cup

If 34 of a cup of white paint = green paint (1)

13 of a cup of white paint = X green paint.

make X the subject of formula;

X = 13×1/34

= 0.4 quantity of green paint.

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Answer:

x = 77, y = 63

Step-by-step explanation:

x - 5 = 72 ( corresponding angles )

x = 77

The 3 angles on the straight line sum to 180°, that is

x - 5 + 51 + y - 6 = 180, that is

72 + 51 + y - 6 = 180

117 + y = 180 ( subtract 117 from both sides )

y = 63

Answer:

6

Step-by-step explanation:

32/6= 5.33333

Cant have half a box

Answer:

6 boxes

Step-by-step explanation:

30 divided by 6 is 5

plus another box for the extra two books

I hope this helps you out!

Answer:

line TU is parallel to line RS

Step-by-step explanation:

edg2020

Answer: line TU is parallel to line RS

Step-by-step explanation:

A unit of measurement is a recognised and accepted standard for calculating other amounts of the same kind. It has already been decided by law or tradition.

One of the two widely used measuring systems in the United States is the metric system, which is frequently employed as the major measurement method in many other nations.

The fundamental units in this system of measurement include:

Meter for length measurements

Kilogram for mass measurement

Second for timekeeping

Liters serve as the standard measurement unit for liquid capacity, which is also known as volume.

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Answer:

Step-by-step explanation:

t = 20

CROSS MULTPLICATION !

\(\frac{a}{b} = \frac{c}{d}\)

in this situation ab = cd

\(\frac{16}{t} = \frac{80}{100}\)

(16)(100) = 80t

1600 = 80t

1600/80 = t

t = 20

Answer:

11

Step-by-step explanation:

11

1

45

35x345 = 30

1

Answer:

72 dogs

Step-by-step explanation:

3 dogs/2 cats = x dogs/48 cats

Cross Multiply

3/2 x x/48

2x=144

x=72

Answer:

72 dogs

Step-by-step explanation:

First turn 3:2 into a fraction:

3/2

Then you can make the equation a proportion question, which is much eaiser to handle.

3/2=x/48  (I recommend writing this out so it will be easier to see)

Then you cross multiply, or multiply by the numerator of the first fraction by the denominator of the second, and the denominator of the first fraction by the numerator of the second.

Multiply 2 by x, which becomes 2x.

Multiply 3 by 48, which is 144

This becomes... 2x=144

You then solve with equation by dividing 144/2 and getting 72.

Meaning x=72 dogs

Answer:

similar

Step-by-step explanation:

triangles are similar if they have corresponding angles for their corners.

Triangles are congruent if their corresponding leg lengths are equal.

Answer:

similar because congruent shapes have the same shape and size while similar have the same shape and corresponding angles

Step-by-step explanation:

Step-by-step explanation:

so, it is

3³ × (3⁴)^(0.5) ?

remember, when multiplying exponents of the same base, we add the exponents : e.g.

a⁵ × a³ = a⁸

when we have exponents in exponents we multiply the exponents : e.g.

(a³)⁴ = a¹²

now, also remember the priorities of mathematical operations :

1. brackets

2. exponents

3. multiplications and divisions

4. additions and subtractions

now, let's look at our expression again :

3³ × (3⁴)^(0.5)

since we only want to simplify and not to calculate, we leave (3⁴) alone, because the only thing we could do would be to actually calculate 3⁴.

so,

(3⁴)^(0.5) = 3^(4×0.5) = 3²

and then,

3³ × 3² = 3^(3+2) = 3⁵

so, the simplified expression is 3⁵.

which is 243 ...

Answer:

1. -11

Step-by-step explanation:

2. All real numbers

Answer:

19/20

Step-by-step explanation:

Answer: x = (y+3)/15.

Step-by-step explanation:

We know that 15x - 3 = y.

We can add 3 to both sides:

15x = y + 3

We can divide both sides by 15:

x = (y+3)/15.

Therefore, if given y, we can find x by computing (y+3)/15.

Answer:

22 cents per ounce

Step-by-step explanation:

The graph shows the relationship between the number of students who attend a homecoming dance and the amount of money raised. The graph is a straight line with a slope of $10, passing through the point (0, $80) and another point on the line. The fixed cost for decorations is $80, which is a constant cost that does not depend on the number of students attending the dance. For each additional student that attends the dance, the amount of money raised will increase by $10.

Answer:

y = 10x - 80

Therefore your answer is B, hope this helps! :)

To find the length of the flower bed that will make the area 1966 ft², we can use the formula for the area of a triangle. The length of the flower bed that will make the area 1966 ft² is 281 ft.

The area of the triangle is given by the formula:

Area = (base * height) / 2

In this case, the height of the triangle is given as 14 ft, and the area is known to be 1966 ft². We can rearrange the formula to solve for the base length:

base = (2 * Area) / height

Plugging in the values, we have:

base = (2 * 1966) / 14 = 281 ft

Therefore, the length of the flower bed that will make the area 1966 ft² is 281 ft.

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Answer:

area = 58.5 cm²

Step-by-step explanation:

area = 18 x 6.5 x 0.5 = 58.5 cm²

True, when nesting loops, the inner loop must be completely contained within the outer loop and must use a different control variable.

When nesting loops, one loop is placed inside another loop. The purpose of nesting loops is to execute a set of instructions repeatedly in a structured manner. In this context, the statement is true: the inner loop must be entirely contained within the outer loop, and a different control variable must be used for each loop.

By containing the inner loop within the outer loop, we ensure that the inner loop executes its iterations every time the outer loop iterates. This nested structure allows for more complex and detailed looping patterns.

Using different control variables for the inner and outer loops is necessary to maintain independent control over their iterations. Each loop should have its own variable to track and control its progress. This distinction is crucial in preventing conflicts and ensuring that the loops function as intended.

Therefore, when nesting loops, it is essential to follow these guidelines: the inner loop must be entirely contained within the outer loop, and a distinct control variable should be used for each loop to ensure proper execution and avoid potential errors.

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Answer: 222/6=37

Step-by-step explanation:

288-66=222

222/6=37

The steps to condensing the expressions
2loga(4)+3loga(X-4)loga(4)

Log(x+3)+log(x-3) is given below.

To condense the   expressions, we can apply the  properties of logarithms. Here are the condensed forms of the given expressions.

2loga (4) + 3loga(X - 4) - loga 4 )  

By using the product and quotient rules of logarithms, we can simplify this expression as follows

2 loga( 4) + 3 loga( X-4) - log a(4)

= loga(4 ²) + loga((X-4)³) -  loga (4) = loga (16 ) + loga((X-4)³) - loga (4)

Combining the logarithms  using the power rule and quotient rule we have

= loga(16(X-4)³/4)

log(x+3) + log (x-3)

By using the product rule of logarithms, we can combine these logarithms

log (x +3) +log (x - 3) = log ((x +3 )(x -3 ))

Simplifying further, we get

= log (x² - 9 )

So this means that the condensed forms of the given expressions are

2loga( 4) + 3loga(X -4) - loga (4) = loga(16 (X-4) ³/4)

log (x+ 3) + log(x- 3) = log(x² - 9)

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Answer:

sorry ulit ha mahirap nag tanung

Here’s a couple

Step-by-step explanation:

1 is -30

2is -4

3 is 3

4 is -25

The invested amount, A=£4000

Rate of interest on this amount, r=5% per annum.

Total interest on the amount £4000 after 1 year

\(= 5\% \;\text{of} \;\£ 4000=0.05\times \£4000=\£200\).

The total amount after 1 year, P=£4000+£200=£4200

Amount remains after an annual prize of £150=£4200-£150=£4050.

Note that after providing the annual prize the amount remains is £4050 which is more than the invested amount of £4000 as the prize money is less than the interest gained.

Now, for the 2nd year, the 5% interest is on the principal amount of £4050, which will have more interest as compared to the interest of 1st year.

Again, after prize distribution, the total amount remains for the principal amount of 3rd year will be more than the principal amount of 2nd year. This sequence repeated every year and the total amount will increase every year.

So, it will never end, the full prize money can be awarded for infinitely many years.

Answer:

4 x 3 = 12

Step-by-step explanation:

12 x 1 = 12

6 x 2 = 12

The width and length of the rectangle is 27 cm and 36 cm. respectively.

To solve the problem, we can use the Pythagorean theorem since the diagonal, width, and length of the rectangle form a right triangle. The Pythagorean theorem states that:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse (diagonal of the rectangle).

Let's denote the width of the rectangle as w, the length as l, and the diagonal as d. According to the problem, we have:
d = w + 18
l = w + 9

Substituting these equations into the Pythagorean theorem, we get:
(w + 9)² + w² = (w + 18)²

Expanding and simplifying the equation, we get:
w² - 18w - 243 = 0

We can solve for w by factoring the expression:
(w - 27)(w + 9) = 0

w = 27 or w = -9

The positive solution for w is 27. We can use this value to find the length of the rectangle:
l = w + 9
l = 27 + 9
l = 36

Therefore, the width of the rectangle is 27 cm, and the length of the rectangle is 36 cm.

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