If u rotate an object around a given point what information will you need?

The graph that represents the geometric sequence f(x) = (1) ∙ (2)^(x-1) is graph C.

A geometric sequence is a sequence of numbers where each term is equal to the previous term multiplied by a constant value, called the common ratio. In this case, the common ratio is 2. This means that the first term of the sequence is 1, the second term is 1 * 2 = 2, the third term is 2 * 2 = 4, and so on.

The graph of a geometric sequence is a curve that gets closer and closer to the y-axis as x gets larger. This is because the terms of the sequence get smaller and smaller as x gets larger. In the case of the sequence f(x) = (1) ∙ (2)^(x-1), the terms of the sequence get smaller and smaller as x gets larger because the common ratio is 2, which is greater than 1.

Graph C is the only graph that meets all of these criteria. The curve in graph C gets closer and closer to the y-axis as x gets larger. This is because the terms of the sequence f(x) = (1) ∙ (2)^(x-1) get smaller and smaller as x gets larger. Therefore, graph C is the graph that represents the geometric sequence f(x) = (1) ∙ (2)^(x-1).

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Answer:

\(\huge\boxed{\sf h \approx 7\ in}\)

Step-by-step explanation:

Volume = V = 2908.33 in³

Radius = r = 11.5 in.

π = 3.14

Height = h = ?

\(V= \pi r^2 h\)

Put the given data in the above formula.

2908.33 = (3.14)(11.5)²(h)

2908.33 = (3.14)(132.25)(h)

2908.33 = 415.265 (h)

2908.33/415.265 = h

\(\rule[225]{225}{2}\)

I have attached n image showing this dot plot.

Answer:

Median

Step-by-step explanation:

In measures of centre of data are usually; mean, median and mode.

Now, mean is the best measure of centre to use when the data set is symmetric or approximately normal.

Secondly, the best to use when the data is asymmetric as a result of having outliers would be median due to the fact that it exhibits robustness to the outliers.

Since the dot plot contains 2 extreme values which are known as outliers, from the definition given earlier, we can say that the best measure of centre to use will be "median"

Answer: Cindy is 7

Step-by-step explanation:

Alice is 21

Barbie is 16

Answer:

2 irrational solutions.

Step-by-step explanation:

6p^2 = 8p + 3

0 = -6p^2 + 8p + 3

The roots are:

p = (2/3) - (8.5)^(1/2)/3, and

p = (2/3) + (8.5)^(1/2)/3

These are irrational numbers.

There are 2 irrational solutions.

Let n be a nonnegative integer and let the sum of its digits be divisible by 3. Then n is divisible by 3.

Write n in base 10 notation as a sum of powers of 10 multiplied by digits. For example, if n = 326, then n = 3100 + 210 + 6*1.

Since 10 is congruent to 1 modulo 3, we can replace each power of 10 with 1 modulo 3.

This gives us n = 3d1 + 2d2 + 6d3, where d1, d2, d3 are the digits of n.

Since the sum of the digits of n is divisible by 3, we have d1 + d2 + d3 = 3k for some integer k.

Substituting this into the expression for n, we get n = 3(d1 + d2 + d3) + 2d2 = 9k + 2d2 + 3d3.

The expression 2d2 + 3d3 is divisible by 3, since the sum of the digits of n is divisible by 3. Therefore, n is divisible by 3.

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What is the actual question?

Answer: B

Step-by-step explanation:

Answer:

 7(x − 7) = 7x − 49

Step-by-step explanation:

I did the test

In July, despite traveling away from home, the individual's electricity consumption amounted to $19.24. However, their solar panel generated $22.75 worth of electricity. Therefore, their amount due for July would be -$3.51.

During July, the individual's electricity consumption was $19.24. This implies that their usage exceeded the electricity generated by their solar panel. The solar panel, on the other hand, generated $22.75 worth of electricity. To calculate the amount due, we need to subtract the generated electricity from the consumption.

$19.24 (electricity consumption) - $22.75 (electricity generated) = -$3.51

The negative sign indicates that the individual's solar panel generated more electricity than their actual consumption. In other words, they produced an excess of $3.51 worth of electricity. Consequently, they would not owe any payment for July but would have a credit of $3.51 that could be carried forward to subsequent months. This credit can help offset future electricity bills or be utilized in the form of a rebate, depending on the individual's agreement with their electricity provider.

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Answer:

$28

Step-by-step explanation:

Answer:

$28

Step-by-step explanation:

$17.50/5 equals the cost of one mystery bag i.e $3.5

therefore,8 mystery bags cost 8×3.5

$28

Compared with the graph of the parent function, an equation which shows only a vertical compression by a scale factor of 1/3 and a shift downward of 4 units is: A. y = 1/3∛x - 4.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either vertically or horizontally enlarge or reduce (compress) a function representing their size.

Generally speaking, the transformation rule for the dilation of a geometric object (square) based on a specific scale factor is given by this mathematical expression:

(x, y)      →    (SFx, SFy)  = (1/3x, 1/3y)

Where:

In this scenario, the only equation that is vertically compressed by a scale factor of 1/3 and translated (shifted) downward by 4 units is given by:

y = 1/3∛x - 4.

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Answer:

The first part is A

and second part is D

Step-by-step explanation:

100% on edge 2023

6^2-3+-5 = 36-8 = 28

e exponents

m multiplication

d division

a addition

s subtraction

There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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Answer: 18

Step-by-step explanation:

Hydrostatic weighing uses the statistic known as density to predict the percentage of body fat.

Hydrostatic weighing, also known as underwater weighing or densitometry, is a method used to estimate body composition by measuring the density of an individual's body.

The principle behind hydrostatic weighing is that fat tissue is less dense than lean tissue, such as muscle and bone.

During a hydrostatic weighing test, the individual is submerged in water while their body volume is measured. By comparing the weight on land with the weight in water, the density of the body can be calculated.

The measured density is then used in equations or regression models to estimate the percentage of body fat.

The statistic of density is crucial in this process because it represents the ratio of an individual's mass to their volume.

By accounting for the density of fat and lean tissue, hydrostatic weighing provides an estimate of body fat percentage based on the differences in density between these components.

It is worth noting that while hydrostatic weighing has been widely used as a reference method for body composition assessment, more modern techniques such as dual-energy X-ray absorptiometry (DXA) and bioelectrical impedance analysis (BIA) have gained popularity due to their convenience and accessibility.

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Answer:16

Step-by-step explanation:

Answer:

b. reflection, shrink, right 3 and up 4

Step-by-step explanation:

- : reflection across x axis

1/2 : compression vertically by a factor of 1/2

x - 3: shift right 3 units

+ 4: up 4 units

Answer:

a) 4 \(\frac{3}{8}\)

b)  8 \(\frac{5}{9}\)

Step-by-step explanation:

a)35/8 = 4 \(\frac{3}{8}\)

b) 77/9 = 8 \(\frac{5}{9}\)

Poppy's sister used approximately 3.14 inches more wire per wall hanging than Poppy.

To find the amount of wire used by both Poppy and her sister, we'll calculate the circumference of their respective wall hangings using the formula:

C = 2πr

Since the diameter is twice the radius, we can find her sister's radius as follows:

Poppy's radius = 6.25 inches

Poppy's diameter = 2 * 6.25 = 12.5 inches

Sister's diameter = Poppy's diameter + 1 = 12.5 + 1 = 13.5 inches

Sister's radius = 13.5 / 2 = 6.75 inches

Now, we'll calculate the circumferences using the given value for π:

Poppy's circumference = 2 x 3.14 x 6.25 ≈ 39.25 inches

Sister's circumference = 2 x 3.14 x 6.75 ≈ 42.39 inches

Difference = Sister's circumference - Poppy's circumference

Difference = 42.39 - 39.25 = 3.14 inches

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The expression calculates the average values for each feature is:

averages = [sum(f)/len(f) for f in features]; averages

To calculate the average values for each of the four features, you can use a list comprehension. The provided data consists of four columns: `sepal_length`, `sepal_width`, `petal_length`, and `petal_width`. To obtain the average value for each feature, the expression `sum(f)/len(f)` can be used, where `f` represents each column in the `features` list.

This expression calculates the sum of the values in each column and divides it by the number of values to obtain the average. By applying this expression to each column in the `features` list using a list comprehension, you can generate a list containing the average value for each feature.

The resulting list will contain four elements, each representing the average value of the corresponding feature: `[average_sepal_length, average_sepal_width, average_petal_length, average_petal_width]`.

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The complete question is:

# if you think of our data as a table, these are the columns of the table sepal_length =[5.8,6.0,5.5,7.3,5.0,6.3,5.0,6.7,6.8,6.1] sepal_width =[2.8,2.2,4.2,2.9,3.4,3.3,3.5,3.1,2.8,2.8] petal_length =[5.1,4.0,1.4,6.3,1.5,6.0,1.3,4.7,4.8,4.0] petal_width =[2.4,1.0,0.2,1.8,0.2,2.5,0.3,1.5,1.4,1.3] * species for each Iris species = ['virginica', 'versicolor', 'setosa', 'virginica', 'setosa', 'virginica', 'setosa', "versicolor', 'versicolor', 'versicolor'] # collect information about the first two flowers in the data features = [sepal_length, sepal_width, petal_length, petal_width] iris_ 0=[f[0] for f in features ] iris_1 =[f[1] for f in features ] \# 7 What are the average values for each of the features? # # Write an expression that will give a list contain the average value for each of the four features. # Hint: use variable 'features', which is defined in an earlier cell. # Your answer should be only one line. Hint: use a list comprehension. # YOUR CODE HERE

Answer:

She can do 4.2+12.3 to see if it equals 16.5.

Step-by-step explanation:

\(\\ \sf\longmapsto x+4.2=16.5\)

\(\\ \sf\longmapsto 12.3+4.2=16.5\)

\(\\ \sf\longmapsto 16.5=16.5\)

Verified

Answer:

y=5.4

Step-by-step explanation:

So first we cross multiple.

2*112=35*(y+1)

224=35y+35

-35 on both sides

189=35y

÷35 on both sides

5.4=y

Answer:

12.8

Step-by-step explanation:

8÷5/8 is also the same as:

8 x 1/5 x 8

Proof:

The magnitude and direction of its momentum are approximately 139.89 kilogram-meters per second and2.05744º.

We have the information from the question is:

A 2.90 kg particle has a velocity of (2.99i − 3.95 j)

We have to find the magnitude and direction of its momentum.

Now, According to the question:

We know that the formula of momentum is:

p = m . v (1)

Where:

p - Vector momentum, measured in kilogram-meters per second.

m - Mass of the particle, measured in kilograms.

v - Vector velocity, measured in meters per second.

And, m = 2.90 kg and v = (2.99i − 3.95 j) m/sec

Then, the momentum is:

p = (2.90)(2.99i − 3.95 j) kg.m/sec

p = (8.671i - 11.455 j) kg.m/sec

The x and y components of the momentum are 8.671 kg.m/sec and -11.455 kg.m/sec, respectively.

The magnitude and direction of momentum are represented by the following expressions:

\(||p||=\sqrt{p^2_x+p^2_y} \\\\\theta=tan^-^1(\frac{p_y}{p_x} )\)

Where:

||p|| = Magnitude of momentum, measured in kilogram-meters per second.

\(\theta\) = Direction of momentum, measured in sexagesimal degrees.

And we know that \(p_x =\)8.671 and \(p_y\) = -11.455

then the magnitude and direction of momentum are, respectively:

\(||p||=\sqrt{(8.671(\frac{kg.m}{sec} ))^2+(-11.455(\frac{kg.m}{sec } ))^2}\)

||p|| = 139.89 kg.m /sec

\(\theta=tan^-^1(\frac{-11.455}{8.671} )\)

\(\theta\) ≈ 2.05744°

The magnitude and direction of its momentum are approximately 139.89 kilogram-meters per second and2.05744º.

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Given question is not in proper form. Then the proper form of the  question is :

A 2.90 kg particle has a velocity of (2.99i − 3.95 j) m/sec. Find the magnitude and direction of its momentum.

Answer:

1 or -30 if -5 is multiplied by that

Step-by-step explanation:

x= -3

-2*-3-5

-2*-3= 6

6-5= 1

or if -5 is multiplied by that then

6*-5= -30

Answer:16d

Step-by-step explanation:

UV = 11 and TV = 41

A line segment has two fixed end points in a line. The length of the line segment is the distance between two fixed points. The length can be measured by units such as centimeters, millimeters, feet or inches

The points on a line are matched one to one with the real numbers in ruler postulate.  Coordinate of the point is the real number that corresponds to a point. The distance between points A and B (AB) is equal to the difference of the coordinates of A and B.

As given,

TU = 16, UV = x+4  and TV = 8x -15

TU + UV = TV

16 + x+4 = 8x -15

16 + 4 +1 5 = 8x - x

35 = 7x

x = 35/5

x= 7

We can find UV = x + 4 by substituting the value of x

= 7 +4

= 11

and TV = 8x - 15

= (8*7) - 15

=56 - 15

=41

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