Which step must be completed when using a compass and straightedge to construct a line through a given point, parallel to a given line?.

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Complete Question

Every time Luisa bakes a batch of brownies she uses 1/2 cup of chocolate if she has 3/2 cups of chocolate remaining how many batches of brownies can Luisa make

Answer:

3 batches of brownies from 3/2 cups of chocolate left.

Step-by-step explanation:

From the question, we know that:

1/2 cups of chocolate = 1 batch of brownies

3/2 cups of chocolate = x

Cross Multiply

1/2 × x = 3/2

x = 3/2/1/2

x = 3/2 × 2/1

x = 3 batches.

Approximately as a whole number , he can make 3 batches of brownies from 3/2 cups of chocolate left

Answer:

miles/time = miles/time miles/48 min = 4 mi/30 min ---- miles = 48(2/15) miles = 96/15 miles = 6.4 miles.

Step-by-step explanation:

hope it hlp

Answer:

68%

Step-by-step explanation:

Calculate percentage change

from V1 = 82 to V2 = 138

(V2−V1)|V1|×100

=(138−82)|82|×100

=5682×100

=0.682927×100

=68.2927%change

=68.2927%increase

=68%

Answer:

Step-by-step explanation:

David uses 1 table spoon of sugar for every 1.25 cups of water to prepare lemonade.

Therefore, Number of table spoons of sugar required (S) ∝ Cups of water required (w)

⇒ S ∝ w

⇒ S = kw

⇒ k = \(\frac{S}{w}\)

⇒ k = \(\frac{1}{1.25}\) = 0.8

So the formula to calculate the amount of water will be,

S = 0.8w

⇒ w = \(\frac{S}{0.8}\)

where k = proportionality constant

Now we can complete the table with the help of the formula.

Sugar (tbsp)                   Water (cups)

      1                                     1.25                                                                      

      7                                    8.75    

      3                                    3.75

      5                                    6.25

Answer: (1) 19x 4y

(2)3.8x 15y

(3) 3x 9.5y

(4) 5.5x 0y

Answer:

84

Step-by-step explanation:

70% of 120= 84

Solved using PEMDAS,

The answer to A = 42

B = 101

C =

A)

Using the PEMDAS order of operations, we solve the expression step by step:

45 - 13 + (56 - 32) + (48 - 36) - 26

First, we perform the operations within the parentheses:

45 - 13 + 24 + 12 - 26

Next, we perform addition and subtraction from left to right:

32 + 24 + 12 - 26

Then, we continue with the addition and subtraction:

56 + 12 - 26

Finally, we perform the remaining addition and subtraction:

68 - 26 = 42

b) Using the same principles above

23 + 45 - (56 ÷ 2) ÷ 2 + 47

First, we perform the division within the parentheses:

23 + 45 - (28) ÷ 2 + 47

Next, we perform the division:

23 + 45 - 14 + 47

Then, we perform   the addition and subtraction from left to right

68 - 14 + 47

Finally, we perform the remaining addition and subtraction:

54 + 47 = 101

C

3 x (171 ÷ 3) - 43 x (36 ÷ 9) + (75 - 58)

First, we perform the division within the parentheses:

3 x 57 - 43 x 4 + (75 - 58)

Next, we perform the multiplication:

171 - 172 + (75 - 58)

Then, we perform the subtraction within the parentheses:

171 - 172 + 17

Finally, we perform the remaining addition and subtraction:

-1 + 17 = 16

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a) 45 - 13 +(56-32) + (48 -36) -26 =

b) 23 + 45 - (56:2) :2 + 47 =

c) 3 x (171:3) -43 x (36:9) + (75-58) =

The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient.

The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient. This coefficient is a statistic that quantifies the internal consistency reliability of a scale or measure, specifically for measures with multiple items or indicators that are intended to measure the same underlying construct.

The coefficient ranges between 0 and 1, with higher values indicating greater internal consistency. Cronbach's alpha measures the extent to which the items in a scale or measure correlate with each other. It assesses how well the items are measuring the same underlying construct or concept.

In other words, the coefficient represents the proportion of variance in the observed scores that can be attributed to the true score, rather than measurement error or other extraneous factors. It indicates the degree to which the items in the measure are interrelated or consistent with each other, with higher values suggesting stronger internal consistency.

Researchers often use Cronbach's alpha to assess the reliability of scales in various fields, such as psychology, education, and social sciences, to ensure that the measure is measuring the construct consistently and accurately.

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Answer: $2025

Step-by-step explanation:

$1.50. x 45= 67.5 items per day. 30  days is 30 x 67.5= $2025

Answer:

a) $2025

Step-by-step explanation:

The equation you would do is

\((45(1.50))30\)

by multiplying 45 and 1.50, you get the price of how much money she makes after one day. in order to find 30 days, just take the product of that equation and multiply it by 30 to get $2025

Answer:

yes it is rational number

Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.

What is the average?

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

To determine who has the best conclusion among Joe, Collin, Paulina, and Quannah, let's evaluate each statement in relation to the given grade distribution:

A. Joe said the average grade was a 75.

Since we have the grade distribution, we can calculate the average grade to verify Joe's statement. However, the distribution alone is not sufficient to determine the average grade. We would need additional information such as the exact values within each grade range. Therefore, we cannot determine if Joe's conclusion is the best based solely on the given information.

B. Collin said almost 15% made between a 91 and a 100.

Based on the given grade distribution, we can calculate the percentage of students who fall within the range of 91-100. In this case, it is 10 students out of a total of 35 students. So, the percentage is approximately 28.6%, not close to 15%. Therefore, Collin's conclusion is not accurate based on the given information.

C. Paulina said most of the class made between a 71 and an 80.

Considering the grade distribution, the largest number of students (12) falls within the range of 71-80. Thus, Paulina's conclusion aligns with the data and can be considered the best conclusion based on the given information.

D. Quannah said that most of the students understood the concepts that were not tested.

The given grade distribution does not provide information about the understanding of concepts. It solely represents the distribution of grades. Therefore, Quannah's conclusion cannot be determined based on the given information.

hence, Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.

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Answer:

52%

Step-by-step explanation:

you got to divide 15 by 785. First 15 goes into 78 5 times which is 75. Then subtract 78 by 75 which is 3. Then bring down the 5 which makes 35 and then 15 goes into 35 two times which is 30 subtract 35 by 30 which is 5 bring up the 5 into a fraction and the ansewer in percentage is  52%.

D:) o b what ? you very whell

Step-by-step explanation:

A b. d. c

Answer:

The answer is -2

Step-by-step explanation:

I got this answer on Khan Academy.

Hope this helps! :)

The command in Stata would be the most useful is reg when  you want to combine this with a dataset that reports how much each individual sleeps per week.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets may also include a group of files or documents.

For data management, visualisation, statistics, and automated reporting, Stata is a general-purpose statistical software programme created by StataCorp. Researchers in a variety of disciplines, such as science, biomedicine, epidemiology, and sociology, use it.

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Answer:

D) Two triangles can be formed where angle B is 40° or 140°.

Step-by-step explanation:

The Ambiguous Case for the Law of Sines occurs when one uses it to determine missing measures of a triangle when given two sides and an angle opposite one of those angles (SSA). There are 6 cases:

Case 1: If ∠A is acute, and a < h, no such triangle exists

Case 2: If ∠A is acute, and a = h, one possible triangle exists

Case 3: If ∠A is acute, and a > b, one possible triangle exists.

Case 4: If ∠A is acute, and h < a < b, two possible triangles exist.

Case 5: If ∠A is obtuse, and a < b or a = b, no such triangle exists.

Case 6: If ∠A is obtuse, and a > b, one such triangle exists.

Here, we can see that ∠A is acute since 75°<90°

Also, we know that a < b since 2 < 3.

Thus, Case 4 applies here, which states "If ∠A is acute, and h < a < b, two possible triangles exist."

Thus, the last option is correct.

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Answer:

It's D

Two triangles can be formed where angle B is 40° or 140°

Step-by-step explanation:

Edge 2022

Answer:

you need to add the image

Step-by-step explanation:

Answer:height

Step-by-step explanation:

Answer:

area

Step-by-step explanation:

its right, trust

If \(y=x^m\) is a solution to the ODE

\(x^2 y'' - 7xy' + 15y = 0\)

then substituting \(y\) and its derivatives

\(y' = mx^{m-1} \text{ and } y'' = m(m-1)x^{m-2}\)

gives

\(m(m-1)x^2x^{m-2} - 7mxx^{m-1} + 15x^m = 0\)

\(m(m-1)x^{m} - 7mx^{m} + 15x^m = 0\)

\((m(m-1) - 7m + 15)x^{m} = 0\)

We ignore the trivial case of \(y=x^m=0\). Solve for \(m\).

\(m(m-1) - 7m + 15 = 0\)

\(m^2 - 8m + 15 = 0\)

\((m - 3) (m - 5) = 0\)

\(\implies \boxed{m=3} \text{ or } \boxed{m=5}\)

The price of good X is 6, and the price of good Y is 3. The consumer's income is 900 dollars.

The budget set is illustrated below. A is the intercept of the X-axis. The intercept of the Y-axis is B. A and B are calculated by equating X and Y to 0. The slope of the budget line is -2.

The equation of the budget line is

900≥6X+3Y.

If the prices of both goods double and the consumer's income also double, then the budget set shifts out from the origin.

In this case, the budget line will have twice the original slope, but the intercepts will also double, hence the budget line will move out parallel to the original one. Hence the consumer can buy twice the amount of X and Y compared to what he could buy earlier.

Therefore the budget line shifts out parallel to the original budget line. If the prices of both goods double and the consumer's income also doubles, then the slope of the budget line is 6/3 = 2.

The equation of the new budget line will be 1800≥12X+6Y. The budget line will be parallel to the original budget line.  Therefore, if the prices of both goods double and the consumer's income also double, then the budget set shifts out from the origin.

The slope of the new budget line will be 2 and the equation of the new budget line will be 1800≥12X+6Y. The prices of the two goods are as follows: The price of good X is 6 and the price of good Y is 3. The consumer's income is 900 dollars.

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Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

Look at the explanation to understand the answer.

Step-by-step explanation:

Step 1.

Rewrite (a2) in a2 + 6 so the a is before 2

(a2 + 6) + (4a + 6) ⇒ (2a + 6) + (4a + 6)

Step 2.

We'll need to organize 2a + 6 + 4a + 6 into groups of like terms, so we can combine them easier.

They're two groups of like terms in the expression.

First group: 2a and 4a

Second group: 6 and 6

Now, rewrite it so the 6 is added by the other 6.

2a + 4a + 6 + 6

Step 3.

We'll need to combine like terms in 2a + 4a + 6 + 6 by adding all the numerical coefficients and copying the literal parts, if any. No numerical coefficient implies value of 1. Numerical 'like' terms will be added.

We already know the groups with like terms.

First group: 2a and 4a

Second group: 6 and 6

Let's solve.

2a + 4a = 6a

6 + 6 = 12

Combine 6a and 12 up and you'll get your answer.

6a + 12 is the answer.

Answer:

Line equation

y=0.2727272727272727x−1                Slope 0.27         Intercept   -1

Step-by-step explanation:

Answer:

i'd say so

Step-by-step explanation: none of the sides are the same length as another

The equation of the given the roots x=4 x=2-i x=2+i is y = x³ - 8x² + 21x - 12

What is a root?

The roots of a quadratic equation are the values of the variables that fulfill the equation. In other words, if f(α) = 0, then x = α is a root of the quadratic equation f(x). The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of equation f(x) = 0.

Here, we have

x=4 x=2-i x=2+i

Roots are the points where the graph intercepts with the x-axis y = 0 at the roots.

The root at x = 4 was found by solving for x when x−(4) = y and y = 0

The factor is x−4

The root at x = 2-i was found by solving for x when x−(2-i) = y and y = 0.

The factor is x−2+i

The root at x = 2+i was found by solving for x when x−(2+i) = y and y = 0

The factor is x-2-i

Combine all the factors into a single equation.

y = (x-4)(x-2+i)(x-2-i)

y = x³ - 8x² + 21x - 12

Hence, the equation of the given the roots x=4 x=2-i x=2+i is y = x³ - 8x² + 21x - 12

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.

Answer:

\(5b - 2 = 4\)

Step-by-step explanation:

two less than implies that we have to subtract 2 from the result of multiplication of 5 and a variable, therefore we get the equation:

\(5b - 2\)

equate it to 4.

Hopefully, this answer helped you

Answer:

Step-by-step explanation:

|2+8i|=√(2²+8²)=√(4+64)=√68=2√17

Answer:

2\(\sqrt{17\\\)

Step-by-step explanation:

We would need to deposit approximately $1372.03 into an account with a 7.5% interest rate, compounded continuously, to have $2500 in the account 8 years later.

To calculate this, we can use the continuous compounding formula: \(A = Pe^(rt)\)

Data:

We know that we want to end up with $2500 after 8 years and that the interest rate is 7.5%.

We can plug in these values and solve for P:

2500 = P * e^(0.075*8)

Simplifying this equation, we get:

2500 = P * e^0.6

Dividing both sides by e^0.6, we get:

P = 2500 / e^0.6

P = 2500/1.82211880039

P = 1372.02909024

P ≈ $1372.03.

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