The diameter of a circle is 3 feet. What is the area?Give the exact answer in simplest form. ____ square feet.

Answer:

\( \boxed{ \bold{ \frac{1}{ {a}^{15} } }}\)

Step-by-step explanation:

\( ({m}^{3} ) \: \div \: {m}^{18} \)

\( {m}^{3} \: \div \: {m}^{18} \)

\( {m}^{ - 15} \)

\( \boxed{ \boxed{{a}^{ - n} \: = \: \frac{1}{ {a}^{n} } }}\)

______________________

\( \boxed{ \bold{ \frac{1}{ {a}^{15} } }}\)

Answer:

-93

Step-by-step explanation:

-35-490 ÷7+12
= -35-(490 ÷7)+12
= (-35-70)+12
= -105 + 12
= -93

Principal Component Analysis (PCA) is a dimensionality reduction technique used to simplify complex datasets while retaining important information. It achieves this by transforming the original variables into a new set of variables called principal components.

These principal components are linear combinations of the original variables and are designed to capture the maximum amount of variance in the data.

Here's a detailed explanation of the steps involved in PCA:

1. Standardize the data:

  First, the dataset is standardized by subtracting the mean from each variable and dividing by the standard deviation. Standardizing the data ensures that each variable contributes equally to the analysis and prevents variables with larger scales from dominating the results.

2. Compute the covariance matrix:

  The covariance matrix is calculated based on the standardized data. It represents the relationships between different variables in the dataset. The covariance between two variables measures how they vary together. A positive covariance indicates that the variables tend to increase or decrease together, while a negative covariance indicates an inverse relationship.

3. Compute the eigenvectors and eigenvalues:

  The eigenvectors and eigenvalues are calculated from the covariance matrix. Eigenvectors represent the directions in the dataset along which the data varies the most. Each eigenvector corresponds to an eigenvalue, which represents the amount of variance explained by the respective eigenvector. The eigenvectors are sorted in descending order based on their corresponding eigenvalues.

4. Select the principal components:

  The principal components are selected based on the eigenvalues. The first principal component (PC1) corresponds to the eigenvector with the largest eigenvalue and captures the most variance in the data. Subsequent principal components capture decreasing amounts of variance. Typically, a subset of principal components that explain a significant portion (e.g., 95%) of the total variance is chosen.

5. Transform the data:

  The original data is transformed into the new coordinate system defined by the principal components. This transformation involves multiplying the standardized data by the matrix of selected eigenvectors. The resulting transformed data contains the scores along the principal components.

PCA is useful for various purposes, including dimensionality reduction, data visualization, and feature extraction. It allows for the identification of patterns and relationships within the dataset while reducing the dimensionality of the data, which can be beneficial in computational efficiency and interpretation.

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Using Euler's Method with a step size of h = 0.1, the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 are:

t = 0.1: y ≈ 1.1

t = 0.2: y ≈ 1.22

t = 0.3: y ≈ 1.34

t = 0.4: y ≈ 1.47

t = 0.5: y ≈ 1.61

To use Euler's Method, we start with an initial condition. In this case, the given initial condition is y(0) = 1. We can then iteratively calculate the approximate values of the solution at each desired time point using the formula:

Yn = Yn-1 + h * F(Xn-1, Yn-1)

Here, h represents the step size (0.1 in this case), Xn-1 is the previous time point (t = Xn-1), Yn-1 is the solution value at the previous time point, and F(Xn-1, Yn-1) represents the derivative of the solution function.

For the given differential equation +2y = 2 - ey, we can rearrange it to the form y' = (2 - ey) / 2. The derivative function F(Xn-1, Yn-1) is then (2 - eYn-1) / 2.

Using the initial condition y(0) = 1, we can proceed with the calculations:

t = 0.1:

Y1 = Y0 + h * F(X0, Y0)

= 1 + 0.1 * [(2 - e^1) / 2]

≈ 1 + 0.1 * (2 - 0.368) / 2

≈ 1 + 0.1 * 1.316 / 2

≈ 1 + 0.1316

≈ 1.1

Similarly, we can calculate the approximate values of the solution at t = 0.2, 0.3, 0.4, and 0.5 using the same formula and previous results.

Using Euler's Method with a step size of h = 0.1, we found the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 to be 1.1, 1.22, 1.34, 1.47, and 1.61, respectively.

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Answer: \(D=13.8\)

Step-by-step explanation:

To fing the diameter of a circle when given the circumfrence we use the formula of

\(D=\frac{c}{\pi }\)

\(D= \frac{43.332}{3.14}\)

\(D=13.8\)

Answer:

3.7

Step-by-step explanation:

The lenght of an arc with a radius of 3m and substended angle of 70 degrees is 3.7meters

The length of an arc is expressed as:

L = r theta

Given the following parameters

r = 3m

theta = 70 degrees = 70π/180

L = 3(70π/180)

L = 3.7 metres

Hence the lenght of an arc is 3.7meters

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Answer:

2 27/64 4 5 /8 6 23/40 9 11/16

The internal angles of a triangle are always added together to make 180°. The inner angles in a quadrilateral are always added up to 360 degrees. This characteristic can be used to determine other angles.

Describe a quadrilateral using an example?

Four sides, four angles, and four vertices make up a quadrilateral, which is a type of polygon. Latin words "quadri," which means four, and "latus," which indicates side, are the roots of the English word "quadrilateral."

                      A quadrilateral is demonstrated in the illustration above. Four sides make up the ABCD quadrilateral: AB, BC, CD, and DA.

The five fundamental quadrilaterals are:

Quadrilaterals come in five different shapes: rectangle, square, parallelogram, trapezium or trapezoid, and rhombus.

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The Lamborghini's average acceleration is 3 m/s².

Average acceleration is calculated by dividing the change in velocity by the time taken. In this case, the change in velocity is from rest (0 m/s) to 27 m/s, which is an increase of 27 m/s. The time taken is 9 seconds.

To find the average acceleration, we divide the change in velocity (27 m/s) by the time taken (9 seconds). Thus, 27 m/s / 9 s = 3 m/s².

Therefore, the Lamborghini's average acceleration is 3 m/s². This means that, on average, the car's velocity increases by 3 meters per second every second during the 9-second interval.

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The amount of yellow paint Curt and Melanie should use is 0.45 quarts so that they can make 1.5 quarts bucket of seafoam green paint.We can use per cent equation.

Given that to make 1.5 quarts bucket of seafoam green paint Curt and Melanie have to mix 70 parts blue paint and 30 parts yellow paint.If 100 percent represent total paint then for 1.5 quarts we have to find the proportion of yellow paint.Let it be x.

30%  / 100% =30 / 100 = x / 1.5 quarts.

We can reduce the equation further,

0.3  = x / 1.5.

0.3 * 1.5 = x

x = 0.45

We can also find blue paint proportion similar by substituting 30 per cent to 70 per cent.

As a result of our calculation, we found the amount of yellow paint to be 0.45 quarts.

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Answer:

stays the same

Step-by-step explanation:

when adding terms with like exponents, they stay the same.

2x² + 3x² = 5x²

Answer:

2a+2b+4, or 2(a+b+2)

Step-by-step explanation:

It might be wrong

Answer:

2a+2b+ 4

Step-by-step explanation:

Subtract 3a from 5 a

Hope this helps. Plz give brainliest.

Answer:

101) A

102) 80 degrees

Step-by-step explanation:

101)

On number 101, just cross multiple on all choices and then compare.

A) x/y=w/z

Cross multiply: xz=yw

B) w/y=x/z

Cross multiply: wz=xy

C) x/w=z/y

Cross multiply: xy=wz

D) (zw)/(xy)=2/2

Cross multiply: 2zw=2xy

Divide both sides by 2: zw=xy

Therefore A is the only proportion not equivalent to the others.

102)

We are given the angles are 2x,3x, and 4x. W also know these angles will add to be 180 degrees since we have a triangle.

2x+3x+4x=180

Combine like terms:

9x=180

Divide both sides by 9:

x=20

So the angles are:

2x=2(20)=40

3x=3(20)=60

4x=4(20)=80

The larger is 80.

Step-by-step explanation:

the second one with x = -5.

because that relationship associates 3 different y values to one x value.

but for a function there can be only ONE associated y value for every valid x value.

Answer:

see image

Step-by-step explanation:

Answer:

11 minutes. 1/4 of 44 is 11

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer:

550, 975, 1400, 1825, and 2250

Step-by-step explanation:

The measure of angle B in the right-angled triangle ACB is 63 degrees.

What is a triangle ?

A triangle is a polygon with three sides, three vertices, and three angles. The sum of the interior angles of a triangle is always 180 degrees. Triangles can be classified based on their side lengths and angle measures.

In a right-angled triangle, the sum of the two acute angles is always equal to 90 degrees. Therefore, we can find the measure of angle B in the right-angled triangle ACB by subtracting the measure of angle A and the right angle from 90 degrees.

Given that \(\angle A = 27^\circ\), we can find the measure of angle B as follows:

\(\angle B = 180^\circ - \angle A - \angle C\)

Since the triangle is right-angled at C, we know that \(\angle C = 90^\circ\). Therefore, we can substitute the values of \(\angle A\) and \(\angle C\) in the equation above to get:

\(\angle B = 180^\circ - 27^\circ - 90^\circ\)

Simplifying this expression, we get:

\(\angle B = 63^\circ\)

Therefore, the measure of angle B in the right-angled triangle ACB is 63 degrees.

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Answer: We have to find the amount of mulch in square feet that would cover the flower bed shape which has the dimensions of 7yd and 4yd:

Therefore the amount of mulch needed is as follows:

Answer:

D on edge

Step-by-step explanation:

Got it right on edge

The polar form of the given complex number is:

\(W = \sqrt{12}* e^{-i*0.52}\)

Here we have:

W = -3 + √3i

To get the polar form we first need the module of W it is:

|W| = √( (-3)^2 + (√3)^2) = √12

And now we need to find the bearing, that is given by the Arctangent of the quotient between the imaginary part and the real part.

Arctan(√3/-3) = -0.52 rad

Then the polar form is:

\(W = |W|*e^{-i*0.52} = \sqrt{12}* e^{-i*0.52}\)

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In this case, the experimental probability is D. 0.860

First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.

In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.

Then, the probability of rolling a 5 will be equal to:

P1 = 140/1000 = 0.14

Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:

P2 = 1 - 0.14 = 0.86

then the correct option is D

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.

A. 0.140

B. 0.167

C. 0.667

D. 0.860

Answer: A line segment

Explanation:

Since the line is straight, line segment for me. Hope it helps!

Answer:

A line

Step-by-step explanation:

Roughly, we can say that a line is an infinitely thin, infinitely long collection of points extending in two opposite directions. When we draw lines in geometry, we use an arrow at each end to show that it extends infinitely.

Answer:

X=2/5

Step-by-step explanation:

8x-4=12x+6+x

8x-4=13x+6

8x-13x=+6-4

-5x=-2

x=-2/-5

x=2/5

In a basket holding 35 pieces of fruit with an apple-to-orange ratio of 2:5, there are 10 apples.

To find the number of apples in the basket, we need to determine the ratio of apples to the total number of fruit pieces.

Given that the ratio of apples to oranges is 2:5, we can calculate the total number of parts in the ratio as 2 + 5 = 7.

To find the number of apples, we divide the total number of fruit pieces (35) by the total number of parts (7) and multiply it by the number of parts representing apples (2):

Apples = (2/7) * 35 = 10.

Therefore, there are 10 apples in the basket of 35 pieces of fruit.

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Answer:

1) not

2) QE

3) QE

4) QE

5) QE

6) QE

7) QE

8) not

9) QE

10) not

hope this helps you!

The three-period weighted moving average for july is 145.4.

A weighted moving average technique is one of several methods for forecasting a given month's value or attribute. Other techniques for forecasting from historical data include the evenly weighted moving average method, a regression analysis method, and so on.

Now, according to the question;

The weighted moving average strategy forecast for month of July is given by:

= (Weight for May * Sales for May) + (Weight for April * Sales for April) + (Weight for June * Sales for June)

= (0.5 * 148) + (0.3 * 142) + (0.2* 144)

= 145.4

Therefore, the three-period weighted moving average for july is 145.4.

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The complete question is -

13. Given the following historical data and weights of .5, .3, and .2, what is the three-period weighted moving average forecast for period 5?

Period Value

1 - 138 (march)

2 - 142 (april)

3 - 148 (may)

4 - 144 (june)

Answer:

Step-by-step explanation:

chicken

The number of months till Dan and Sydney would have paid the same amount for the high-speed Internet service is 6.12 months

Assuming the number of months is denoted as x, the total cost equation for Dan's provider would be:

= Installation cost + internet charge per month x number of months

= 60 + 42.95x

The total cost equation for Sydney's provider is:

= Installation cost + internet charge per month x number of months

= 0 + 52.75x

= 52.75x

To find the number of months till Dan and Sydney pay the same amount, equate the equations:
60 + 42.95x = 52.75x

52.75x - 42.95x = 60

9.8x = 60

x = 60 / 9.8

x = 6.12 months

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