Rebecca solved
√45 + 2 √20. Her answer was 5 √5 . Is she correct? If not, explain and correct the error.

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

In factored form

(x - 1)

(3x + 2)

2x - 1

Answer:

10.6

Step-by-step explanation:

We can use the Pythagorean Theorem to find the radius, as we are given a right triangle. The hypotenuse is 16. So we have \(r^2 + 12^2 = 16^2\).

Solving for \(r\) (radius), we get \(r = \sqrt{16^2 - 12^2} = 10.6\) (rounded to the nearest tenth place).

When performing a dilation or a composition of a dilation and rigid transformations on a triangle, several properties of the original triangle are preserved. In both cases, the shape and orientation of the triangle remain the same while the size and location of the triangle change.

During a dilation, the original triangle is extended or shrunk in size uniformly. All sides of the triangle are extended or shrunk by the same factor, which is the scale factor of the dilation. The angle measures of the triangle remain unchanged during dilation, and the corresponding angles of the dilated triangle remain equal.In a composition of a dilation and rigid transformation, the original triangle is first dilated and then subjected to a rigid transformation like rotation, translation, or reflection.

The shape and orientation of the original triangle are preserved, and the size and location of the dilated triangle change. The angle measures of the triangle remain unchanged during dilation, and the corresponding angles of the dilated triangle remain equal. During the subsequent rigid transformation, the corresponding sides and angles of the dilated triangle are also preserved.

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By associative property the expression 53p+(16p+7p) is equivalent to the expression  53p+(16p+7p)

The given expression is 53p+(16p+7p)

Fifty three times of p plus sixteen times of p plus seven times of p

In the expression p is the variable and plus is the operator

We have to find the equivalent expression of the expression

Equivalent expression is the expression whose value is same as given expression and looks different

53p+(16p+7p)=  (53p+16p)+7p

By associate property  (53p+16p)+7p is equivalent to 53p+(16p+7p)

Hence, the expression 53p+(16p+7p) is equivalent to the expression  53p+(16p+7p) by associative property

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Answer:

It would be the second option...

Hope this helps:)

To count the number of relations R on set A such that at least one ordered pair in R has element a as its first element, we can consider the total number of relations on A and subtract the number of relations that do not have a as the first element in any ordered pair.

Given:

- Set A has 6 elements.

- Element a is one of the elements in A.

- Element b is also an element in A, and it is distinct from element a.

The total number of relations on set A is given by 2^(n^2), where n is the number of elements in A. In this case, n = 6.

Total number of relations on A = 2^(6^2) = 2^36

Now, let's calculate the number of relations on A that do not have a as the first element in any ordered pair. For any ordered pair in a relation, the first element can be any of the remaining 5 elements in A (excluding a). Similarly, the second element can be any of the 6 elements in A.

Number of relations without a as the first element = 5 * 6^2 = 180

Therefore, the number of relations R on A such that at least one ordered pair in R has a as its first element is:

Number of relations with a as the first element = Total number of relations on A - Number of relations without a as the first element

Number of relations with a as the first element = 2^36 - 180

Please note that the resulting number is an extremely large number.

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The equation connecting U,S and M is K = U√M/S

The value of M when U=110.5 and S=32 is 4.32

From the information given, we have that U partly varies directly as S and partly inversely as the square root of M.

This is represented mathematically as;

U ∝S/√M

To determine the constant of the variation, we have;

U = KS√M

Now, make 'K' the subject of formula;

K = U√M/S

Substitute the values

K = 124.6 √25/86.75

Find the square root

K = 7. 18

To determine the value of M, we have;

KS/U = √M

substitute the values

√M = 7.18(32)/110. 5

√M = 2. 08

find the square of both sides

M = 4. 32

Hence, the value is 4.32

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Answer:

it should be 90 I could be wrong

Answer:

80

Step-by-step explanation:

90/100*x=72

9/10*x=72

x=72*10/9

x=80

As per the given origin, the potential at x = 3.0m is 143.0V

The term origin in math is referred as the initial point or the starting point from where we begin our calculations or measurements.

Here we have given that the potential at the origin is -140 V.

And we need to find the potential at x = 3.0m.

While we looking into the given question, we have identified that the region of space has a non-uniform electric field that points in the +x-direction and has magnitude and as the reference point, it take the potential at the origin to be -140 V .

Then the electric potential at x=3.0m is calculated as,

=> V(3) - 140 = 3.0

=> V(3) = 143.0

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It is given that \(sin x + cos x = 2/5\).To find: \(sin4 x + cos4 x\) We know that \(sin2 x + cos2 x = 1or sin2 x = 1 - cos2 x\)…(1)Also\(,sin x + cos x = 2/5 2)\) Squaring on both sides of equation (2),

we get:\((sin x + cos x)2= (2/5)2sin2 x + cos2 x + 2 sin x\)

\(cosx = 4/25or (1- cos2 x) + 2 sin x cos x = 4/25\)

)Squaring both sides of equation (1),

we get:\(sin4 x + cos4 x - 2 sin2 x cos2 x= (sin2 x + cos2 x)2 - 2 sin2 x cos2 x= 1 - 2 sin2 x cos2 x\) Putting the value of sin2 x cos2 x from equation (3),

we get: \(sin4 x + cos4 x = 1 - 2 (9 - 25 cos2 x)/50= 1 - (9 - 25 cos2 x)/25= (250 - 9 + 25 cos2 x)/25= (241 + 25 cos2 x)/25\)

Thus, \(sin4 x + cos4 x = (241 + 25 cos2 x)/25\), given sin x + cos x = 2/5.More than 250 is not a part of the solution.

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Answer:

x = 7

Step-by-step explanation:

Since, both the polygons are similar, therefore their corresponding sides would be in proportion.

\( \therefore \: \frac{30}{4 + 3x} = \frac{36}{30} \\ \\ \therefore \: \frac{30}{4 + 3x} = \frac{6}{5} \\ \\ 6(4 + 3x) = 30 \times 5 \\ \\ 24 + 18x = 150 \\ \\ 18x = 150 - 24 \\ \\ 18x = 126 \\ \\ x = \frac{126}{18} \\ \\ x = 7\)

Answer:

5.3

Step-by-step explanation:

pythagorean theory :,)

\(a^{2} + b^{2} = c^{2}\)

the legs are \(a\) and \(b\), while the hypotenuse (the longest side) is \(c\)

fill in the equation with the information u have and simplify so

\(a^{2} + 6^{2} = 8^{2}\)

\(a^{2} + 36 = 64\)

now get the variable (\(a\)) by itself

\(a^{2} + 36 = 64\\\)

(subtract 36 on both sides)

\(a^{2} = 28\)

\(a = 5.3\)

square root of both sides ≈ 5.3

(you could also multiply the square root of 7 by 2)

K-Means uses Euclidean distance. The output includes average and maximum distances, separation, and convergence after iterations related to the number of starting seeds.

In the output of a K-Means cluster analysis, "Ave Distance" refers to the average distance between the data points and their assigned cluster centroids.

"Max Distance" represents the maximum distance between any data point and its assigned centroid. "Separation" indicates the distance between the centroids of different clusters, reflecting how well-separated the clusters are.

Convergence in K-Means clustering refers to the point when the algorithm reaches stability and the cluster assignments no longer change significantly.

When the video mentions convergence after 4 iterations, it means that after four rounds of updating cluster assignments and re-computing centroids, the algorithm has achieved a stable result.

The "Number of starting seeds" option determines how many initial random seeds are used for the algorithm, and it can affect the number of iterations needed for convergence. Increasing the number of starting seeds may result in faster convergence as it explores different initial configurations.

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Answer:

200 tickets

Step-by-step explanation:

I hope this helps you :)

-KeairaDickson

Answer:

Step-by-step explanation:

200 tickets were sold

Answer:

x=10 L of .30 solution

x+y=30

y=20 L water

Step-by-step explanation:

The probability that at most 350 of the 500 Irvine residents selected will be over the age of 60 is 0.9292. The probability that at least 350 of the 500 residents in the sample were over the age of 60 is 0.0708. The probability that between 400 and 475 of the residents were over the age of 60 is 5.88.

The probability that at most 350 of the 500 Irvine residents selected will be over the age of 60 can be found by calculating the z-score for 350 and finding the corresponding probability from a normal distribution table. The z-score for 350 is (350-375)/17 = -1.47. The corresponding probability from a normal distribution table is 0.0708.

The sampling distribution of the sample proportion for the sample size of 500 is a normal distribution with a mean of 0.75 and a standard deviation of  \(√[(0.75)(0.25)/500] = 0.017.\)

The probability that at least 350 of the 500 residents in the sample were over the age of 60 can be found by calculating the z-score for 350 and finding the corresponding probability from a normal distribution table. The z-score for 350 is (350-375)/17 = -1.47. The corresponding probability from a normal distribution table is 1 - 0.0708 = 0.9292.

The probability that between 400 and 475 of the residents were over the age of 60 can be found by calculating the z-scores for 400 and 475 and finding the corresponding probabilities from a normal distribution table. The z-score for 400 is (400-375)/17 = 1.47 and the z-score for 475 is (475-375)/17 = 5.88.

The corresponding probabilities from a normal distribution table are 0.9292 and 1.0000, respectively. The probability that between 400 and 475 of the residents were over the age of 60 is 1.0000 - 0.9292 = 0.0708.

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Answer:

A and D

Step-by-step explanation:

-Reflection only

-rotation, then translation

Reflection  and rotation, then translation is the transformation(s) can be used to map one triangle onto the other.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The triangles are congruent by SSS

JKL and MKL are the two triangles which sharing same segment KL.

A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points this set is called the axis or plane of reflection.

Rotation, then translation is also used in the given triangle.

Hence, reflection  and rotation, then translation is the transformation(s) can be used to map one triangle onto the other.

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The correct equivalent form of 8⁵/8² is Adam made an error in step 2. The denominator should be 1, not 8¹. Option B is correct.

In step 2, Adam used the property of exponents that states: \(a^{(m-n)}\) = \(a^{m}\) / \(a^{n}\). However, he made a mistake by writing 8¹in the denominator instead of 1.

The correct expression after step 2 should be:

\(8^{5-2}\) /1 = 8³

Then, in step 3, Adam used the property of exponents that states: \(a^{m}\) / a =   \(a^{m-1}\). This step is correct, and the expression becomes:

\(8^{3/8}\)

Finally, in step 4, Adam simplified the expression by dividing 8³ by 8². This step is also correct, and the expression simplifies to:

8¹ = 8

Therefore, the correct equivalent form of 8⁵/8² is 8.

Hence, B. Adam made an error in step 2. The denominator should be 1, not 8¹ is the correct option.

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--The given question is incomplete, the complete question is

"Adam is rewriting the expression 8^5/8^2 in equivalent form. His steps are shown: step 1: 8^5/8^2, step 2:  8^(5-2)/8^1, step 3: 8^3/8, step 4: /8^2. which statement describes the step and the error Adam made in that step? A) Adam made an error in step 2. The exponent in the numerator should be 5+2 B) Adam made an error in step 2. The denominator should be 1, not 8^1 C)  Adam made an error in step 3. The value of 8^1 is 1, not 8."--

Answer:

Step-by-step explanation:

1.)12.

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator.

Thus, the answer to 4 divided by 1/3 in fraction form is:

\(\frac{12}{1}\)

To make the answer to 4 divided by 1/3 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

12

The answer is rounded to the nearest two decimal points if necessary.

\(\frac{12}{1}\) is an improper fraction and should be written as 12.

2.) 9

Answer:

$296.55

Step-by-step explanation:

3 $10 = $30

3 $5 = $15

3 $0.25 = $0.75

4 $0.01 = $0.04

The money in her purse adds up to be $45.79

Add that to her savings account to get her total money.

$250.76

$ 45.79

------------

$296.55

The area of the kite in the image given is determined as: 100 ft².

The area of a kite ca n be determined by calculating the product of its diagonals, then divide by 2.

Therefore, the formula for finding the area of a kite, whose diagonals lengths are q and p respectively is expressed as:

Area of kite = (p ×  q) / 2.

Given the image of a kite above, the length of each diagonals are:

p = 20 + 30 = 50 ft

q = 2 + 2 = 4 ft.

The area of the kite = (p ×  q) / 2 = (50 ×  4) / 2

The area of the kite = (200) / 2

= 100 ft².

Therefore, the kite has an area of 100 ft².

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fractions with the same denominator added together

You must add the numerators and keep the same denominator when adding fractions with the same denominator. Since the denominators of the two fractions are the same, we must add the numerators while maintaining the same denominator, which is 4.

What are the parts of fraction?

A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

The number below the bar is called the denominator . It tells the number of equal parts into which the whole has been divided. The number above the bar is called the numerator. It tells how many of the equal parts are being considered.

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Answer:

d = st,

Step-by-step explanation:

Distance= speed times rate

The expression is simplified to give 2(9x + 2√3x - 5)

First, we need to know that surds are mathematical forms that can no longer be simplified to smaller forms

From the information given, we have that;

(2√3x - 2)(3√3x + 5)

expand the bracket, we get;

6√9x² + 5(2√3x) - 6√3x - 10

Find the square root factor

6(3x)  + 10√3x - 6√3x - 10

collect the like terms, we have;

18x + 4√3x - 10

Factorize the expression, we have;

2(9x + 2√3x - 5)

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Answer:

d

Step-by-step explanation:

The sample size is needed to achieve a margin of error of .05 for a 90% confidence interval for a proportion of interest to be near 0.25 is equals to the 203.

From the above problem we have,

Mardin of error, E = 0.05

confidence interval, α = 90%

proportion of interest, p = 0.25

We have to determine the sample size.

Using the formula for minimum sample size is written as n = (Z² × p(1 -p)]/E² --(1)

Using the Z-distribution table and the z-score value for 90% is equals to 1.645.

Plug all known values in above equation,

=> n = [(1.645)² × 0.25 ( 1 - 0.25)]/(0.05)²

=> n = (1.645)² × 0.25 ×0.75/(0.05)²

=> n = 0.5074/0.0025

=> n = 202.96 ~ 203

Hence, required sample value is 203

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Inequality for the number of weeks lily will need to save to have at least $300 is 40 + 65*x >= 300  and  4 week needed to buy the cellphone.

The phenomenon of an unfair and/or unequal distribution of opportunities and resources among the people who make up a society is referred to as inequality. To different people and in various contexts, the word "inequality" may mean different things. Additionally, inequality has distinct yet overlapping social, economic, and geographic dimensions. The conflict between the normative concept of "deservingness" and the moral ethics of equity and social justice, on the one hand, and on the other, further complicates discussions about inequality. Inequalities that can be seen both within and between social groups have come to the forefront of public consciousness in recent years. The growing realization that inequality is systemic and ingrained in various socioeconomic and political structures is the result of this awareness. The contributions of geographers to the subject.

she needs to save at least $300 before she is able to buy the phone and

her grandfather gives her $40  so she need 300 - 40

and she earns $65 tutoring after school each week so until she will not have 260 she not able to buy.

40 + 65*x >= 300

65x >= 260

x >= 260/65

x >= 4

4 week needed.

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