Charlotte states that (4^3)^3 can be rewritten as 2^18. Explain how she is correct.

The proof was correctly completed by Kamala.

The next step in the proof is to equate the expressions for h and write an expression for sin(B).

Kamala is correct because she is using the same logic as Bret, but with a different pair of sides and angles. In the law of sines, any pair of corresponding sides and angles can be used, as long as they are in proportion to each other. So, Bret used the pair of sides (a,c) and opposite angles (A,C), while Kamala used the pair of sides (h,a) and opposite angles (C,A).

By setting up the same proportion using different pairs of sides and angles, both Bret and Kamala have correctly demonstrated the law of sines. The next step in the proof is to equate the expressions for h: a/sin(A) = c/sin(C) and write an expression for sin(B): sin(B) = sin(180° - A - C) = sin(A + C).

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Image transcribed:

Bret and Kamala each begin a proof of the law of sines. Their work is shown.

Bret | Kamala

sin(c) = c/h | sin(c)= h/a

sin(A) = a/h | sin(A) = h/c

h = a/sin(A) | asin(c) = h

h = c/sin(c) | csin(A) = h

a/sin(A)=c/sin(c) | asin(C) = csin(A)

sin(C)/c = sin(A)/a | sin(c)/c = sin(A)/a =

The proof was correctly completed by __________

The next step in the proof is to ________ and write an expression for ______

Step-by-step explanation:

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The approximate English system equivalent for a gas tank that holds 76 liters is about 20 gallons.

To convert liters to gallons, we can use the conversion factor that 1 liter is approximately equal to 0.264172 gallons.

76 liters * 0.264172 gallons/liter ≈ 20.064192 gallons

Rounding to the nearest whole number, we get approximately 20 gallons.

Therefore, the approximate English system equivalent for a gas tank that holds 76 liters is about 20 gallons.

The gas tank in the new car, which holds 76 liters, is approximately equivalent to 20 gallons in the English system. This conversion is based on the approximate conversion factor of 1 liter being approximately equal to 0.264172 gallons.

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Answer: Fractions, decimals, and percents are all different ways of representing the same value. They are interchangeable because they represent the same proportion or part of a whole.

To convert a decimal to a percent, we multiply the decimal by 100 and add a percent sign. For example, the decimal 0.75 can be converted to a percent by multiplying it by 100, which gives 75, and adding a percent sign, which gives 75%.

When changing from a decimal to a percent, the decimal point is moved two places to the right. For example, if we have the decimal 0.75, we move the decimal point two places to the right to get 75, and then add the percent sign to get 75%.

In summary, the reason we can change between fractions, decimals, and percents is that they are different representations of the same value. When changing from a decimal to a percent, we move the decimal point two places to the right.

Step-by-step explanation: :)

Divide total price by number of pencils:

23.28 / 24 = $0.97 per pencil

Answer:

10°C average temperature

Step-by-step explanation:

Average Temperature = Lowest + 17

= -7 + 17

= 17 - 7

= 10°C average temperature

someone who orders a product through a catalog is responding to Direct marketing.

The act of presenting an offer directly to a target client and providing them with a way to respond immediately is known as direct marketing. It is sometimes referred to as direct response marketing among practitioners. Advertising, in contrast, is a form of mass messaging.

Any form of marketing that communicates or distributes to consumers directly, as opposed to through a third party, is considered direct marketing.

Businesses employ the catalog marketing strategy to combine a variety of products in a single printed piece or online store in the hopes that the recipient would purchase at least one item. Using the information in the catalog, customers make direct purchases from the catalog sender through phone, return mail, or online.

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The estimation of the function f() allows us to utilize the available data to make informed decisions, gain insights, and understand the behavior of the system or phenomenon we are studying.

1. Prediction: One common reason for estimating a function f() is to make predictions or forecast future values based on available data.

By understanding the relationship between input variables and the corresponding output values, we can estimate the function f() and use it to predict the output for new or unseen input values.

This is particularly useful in various fields such as finance, weather forecasting, sales forecasting, and stock market analysis, where accurate predictions can be valuable for decision-making.

2. Inference: Another reason for estimating a function f() is to gain insights and understand the underlying relationship between the input variables and the output.

By estimating the function, we can examine the effect of different inputs on the output and draw conclusions about the factors influencing the phenomenon we are studying.

This is commonly used in scientific research, social sciences, and data analysis to understand the causal or associative relationships between variables and to uncover patterns or trends in the data.

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Answer: A

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

Hello There!

In order for a relationship to be proportional it has to have a constant rate of change and it has to go through the origin (0,0)

Right off the bat we can eliminate C and D because they don't go through the origin

The first answer choice goes through the origin and has a constant rate of change of 9 so A does represent a proportional relationship

The second answer choice also foes through the origin and has a constant rate of change of 21/3 or 7 so B also represents a proportional relationship

The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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Answer:

1.) it is the same way as subtracting a fraction be cause a pizza is cut into 8 so it will be 1/8th of each slice if some one ate a slice of pizza

Step-by-step explanation:

The equations show a directly proportionate relationship will be y = 4x. Option A is correct.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

When two quantities are directly proportional, this implies that if one quantity increases by a specific percentage, the other quantity also increases by the same percentage.

The equations show a directly proportionate relationship is,

y = 4x

Here 4 is taken as the constant, In order to eradicate the constant we have to apply the proportionality sign.

y ∝ x

Thus, the equations show a directly proportionate relationship will be y = 4x. Option A is correct.

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Answer:19800

Step-by-step explanation:

Answer: 19,800 cups

Step-by-step explanation:

Answer:

D) x - 7 + 3

Step-by-step explanation:

gave sister = subtract

aunt gave = addition

Equation:

x - 7 + 3

Answer:

The mean for the data in the dot plot is 5. What is the

absolute deviation for the data point at 7?

2

Step-by-step explanation:

My least favorite food would defiently be soup.

Answer:

Step-by-step explanation:

Brussels sprouts

Answer:

the 3rd option

Step-by-step explanation:

the x intercept is where the graph crosses. The x axis. Here the slope is negative one half. Count rise over run between two points. Use the ones on the grid

The frequency table is given below:

Superpower  Frequency

Fly                       14

Freeze time         8

Invisibility             3

Super strength    3

Telepathy             12

Relative frequency table is given below:

Superpower  Relative Frequency

Fly                       14/40 = 0.35

Freeze time         8/40 = 0.20

Invisibility             3/40 = 0.075

Super strength    3/40 = 0.075

Telepathy             12/40 = 0.30

Constructing the frequency table of the distribution will involve grouping the students superpower preferences as they occur into a table of the number of times they occur.

The frequency table is given below:

Superpower  Frequency

Fly                       14

Freeze time         8

Invisibility             3

Super strength    3

Telepathy             12

Superpower  Relative Frequency

Fly                       14/40 = 0.35

Freeze time         8/40 = 0.20

Invisibility             3/40 = 0.075

Super strength    3/40 = 0.075

Telepathy             12/40 = 0.30

In conclusion, the relative frequencies and frequencies are obtained  from the data provided.

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When you cube root a number, the answer is always smaller. This is true.

The cube root, denoted by, is the inverse of the cube of a number. For example, 216, or the cube root of 216, equals 6 because multiplying 6 three times yields 216. In other words, because 6³ = 216.

A number's cube root is a value that, when multiplied by itself three times, yields the original value. For example, the cube root of 27 is 3, denoted as 3³ because multiplying 3 by itself three times yields 3 x 3 x 3 = 27.

In this case, we have showed that the answer will be smaller than the original number.

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Answer:

If the missing data value was 55, the range of the data would change significantly

If the missing data value was 22, the interquartile range of the data would change significantly

Step-by-step explanation:

Given the data

8, 9, 12, 12, 13, 15, 16, 16, 16, 18, 21, 22, 23, 27, 28, 32, 34,40

The range of the data is the difference between the highest value and the lowest value of the data.

Highest value = 40

Lowest value = 8

Range = 40-8

Range = 32

If 55 was missing, we need yo find the range of the data if 55 was included.

Highest value will be 55

Lowest value = 8

Range in this case = 55-8

Range = 47

Difference in range = 47-32= 15

This means that if 55 was missing, it will significantly affect the value of the range.

- Interquartile range = Q3-Q1

Q3 is the median value of the other half of the data.

Q1 is the median value of the first half of the data.

If 55 wasn't included, the first part of the data:

8, 9, 12, 12), 13, (15, 16, 16, 16

Q1 = 13 (median value of the extracted data)

The second part of the data if 55 wasn't included:

18, 21, 22, 23), 27, (28, 32, 34, 40

Q3 = 27 (median value of the second part of the data)

IQR = Q3-Q1

IQR = 27-13

IQR = 14

If 55 was included, the data will be;

8, 9, 12, 12, 13, 15, 16, 16, 16, 18, 21, 22, 23, 27, 28, 32, 34, 40,55

Q1 = N+1/4 the value

N is the sample size = 19

Q1 = 19+1/4

Q1 = 20/4

Q1 = 5th value

The 5th value in the data is 13, hence Q1 is 13

Q3 = 3(N+1)/4th value

Q3 = 3(19+1)/4

Q3 = 60/4

Q3 is the 15th value in the dataset. Since the 15th value is 28, Q3 is 28

IQR = 28-13

IQR = 15 (if 55 was included)

Difference in IQR = 15-14 = 1

This means that if 55 was the missing data, the IQR will not change significantly.

Note that the range of the data will not change if the missing value is 22 because, the 22 is a value lower than the highest value of the dataset, hence the range will remain the same (40-8 = 32) irrespective of 22 missing or not.

For the Interquartile range

If 22 was in

Q3 = 3(N+1)/4th value

Q3 = 3(19+1)/4

Q3 = 60/4

Q3 is the 15th value in the dataset. Since the 15th value is 28, Q3 is 28

IQR = 28-13

IQR = 15 (if 55 was included)

Difference in IQR = 15-14 = 1

This means that if 55 was the missing data, the IQR will not change significantly.

Based on the calculation, the correct options are:

- If the missing data value was 55, the range of the data would change significantly

- If the missing data value was 22, the interquartile range of the data would change significantly

Answer:

a

Step-by-step explanation:

edge 2021

Answer:

-∞ < y < ∞

Step-by-step explanation:

Range corresponds to the values on the y-axis and Domain corresponds to values on the x-axis. Here if see the graph the range depends on values on y-axis and we can see that the the graph goes to -∞(-negative infinity) to +∞(positive infinity)  so the answer is

-∞ < y < ∞

Answer:

The range is  -∞< y < ∞, below is the explanation of how to get range.

Step-by-step explanation:

Given:

      Graph of a function h(x).

To find:

      The range of the function in inequality notation.

The range is all possible y-values of the function. Let's find all possible y values from the graph.

If we see the graph, it has a vertical asymptote at x=1 and a slant asymptote.

But it tool all y values from -infinity to infinity.

So, we can write range as -∞< y < ∞ because both sides of the function go and so on below the x-axis and go and so on above the x-axis.

The range is  -∞< y < ∞ .

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The purpose of Lend-Lease was to provide military aid to countries fighting against the Axis powers during set  World War II.

The purpose of Lend-Lease was to provide military aid to countries fighting against the Axis powers during World War II. The program was enacted by the United States in 1941 and allowed the US to provide war materials to its allies without requiring repayment. It was a major factor in the Allied victory, as it allowed the US to supply its allies with much needed war material and resources. The US provided a variety of goods, including food, oil, weapons, and tanks. It also supplied the Soviet Union with millions of tons of military equipment and supplies. Lend-Lease was instrumental in helping the Allies win the war, as it allowed them to gain a huge advantage over the Axis powers by providing essential supplies and resources.

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The simplest form is:

Therefore , the probability that she selects none of those containing errors is 0.6798.

Calculating how likely or "possible" it is for an event to occur is the subject of probability. Words like "definitely," "impossible," or "likely" may be used to communicate the likelihood that a particular event will occur. Mathematics always expresses probabilities as fractions, decimals, or percentages, with values ranging from 0 to 1.

Here,

Number of ways of selecting 3 returns out of 59 is C(59,3).

Out of 59 returns, 59-7 = 52 returns has no error so number of ways of selecting 3 returns out fo 52 is C(52,3).

The probability that she selects none of those containing errors is

P( No errors )=\(\frac{C(52,3)}{C(59,3)}\)=0.6798

Therefore , the probability that she selects none of those containing errors is 0.6798.

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Answer:

Step-by-step explanation:

The required inequality x + m ≤ 510, and the distance is 316 miles.

Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.

Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.

Let,

x miles = distance already traveled

m miles = distance miles can travel with remaining gas

510 = max. miles can travel on a full tank

As per the given question,

The inequality will be written as,

x + m ≤ 510

194 + m ≤ 510

m ≤ 510 - 194

Apply the subtraction operation, and we get

m ≤ 316

Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.

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Answer:

see below

Step-by-step explanation:

The measure of a minor arc is the same as the angle that forms it.

1. Since ∠GBJ = 90°, the answer is 90°.

2. ∠HBI = 180° - 151° = 29° so the answer is 29°.

3. ∠HBJ = 180° so the answer is 180°.

4. The reflex angle ∠GBI = 90 + 151 = 241° so the answer is 241°/

5. Since ∠GBJ = 90°, the reflex angle ∠GBJ = 360 - 90 = 270° so the answer is 270°.

6. ∠GBH = 180 - 90 = 90° so the reflex angle ∠GBH = 360 - 90 = 270° so the answer is 270°.

In functions, value of x = 45 and y = 45

What is function in math?

6)  x = 15

 y = 49

3x = 3 * 15 = 45

y - 4 = 49 - 4 = 45

7)  3x + 23 = 4x

    4x - 3x = 23

     x = 23

    y =  4 * 23 =   92°

8) y + 12 = 5x °

  3x + 50  =

According to the question

     y + 12 = 3x  + 50

      5x   = 3x + 50

      2x = 50

        x = 25

y + 12 = 5x °

y = 5 * 25 - 12

y = 125 - 12 =   113

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