determine the equation of the line that is parallel to the given line (y=-5x+1), through the given point (-2,3)

The new coordinates after applying the transformation are:

E(-78, -4)

F(-78, -40)

G(102, -40).

To find the new coordinates after applying the given transformation of center (-6, -4) and a scale factor of 6, we need to multiply the distance between each point and the center by the scale factor and then add the result to the center coordinates.

Let's calculate the new coordinates for each point:

For point E(-18, -4):

New x-coordinate = (-18 - (-6)) * 6 + (-6) = -12 * 6 - 6 = -78

New y-coordinate = (-4 - (-4)) * 6 + (-4) = 0 * 6 - 4 = -4

Therefore, the new coordinates for point E are (-78, -4).

For point F(-18, -10):

New x-coordinate = (-18 - (-6)) * 6 + (-6) = -12 * 6 - 6 = -78

New y-coordinate = (-10 - (-4)) * 6 + (-4) = -6 * 6 - 4 = -40

Therefore, the new coordinates for point F are (-78, -40).

For point G(12, -10):

New x-coordinate = (12 - (-6)) * 6 + (-6) = 18 * 6 - 6 = 102

New y-coordinate = (-10 - (-4)) * 6 + (-4) = -6 * 6 - 4 = -40

Therefore, the new coordinates for point G are (102, -40).

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- Span{v1, v2, v3, 0} is equal to the span of {v1, v2, v3}.
- Span{v1, v1-v2, v3} is equal to the span of {v1, v2, v3}.
- Span{v1, v2} is NOT equal to the span of {v1, v2, v3}.

Let's analyze each of the sets of vectors to determine if they are equal to the span of {v1, v2, v3}:
1. Span{v1, v2, v3, 0}:
This set is equal to the span of {v1, v2, v3} because adding the zero vector (0) does not affect the linear independence or the span of the other vectors.

A span is the set of all possible linear combinations of the vectors, and since the zero vector does not change the linear combinations, the span remains the same.
2. Span{v1, v1-v2, v3}:
This set is also equal to the span of {v1, v2, v3}.

The reason is that the vector (v1-v2) can be written as a linear combination of v1 and v2: (v1-v2) = 1*v1 + (-1)*v2.

Since all vectors in this set can be expressed as linear combinations of {v1, v2, v3}, the span remains the same.
3. Span{v1, v2}:
This set is NOT equal to the span of {v1, v2, v3} because it is missing the vector v3.

Since v1, v2, and v3 are linearly independent, removing one of them (v3 in this case) means that the set cannot span the same space as {v1, v2, v3}.

It has a lower dimension, and therefore, the span is different.

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The unit rate here is also 8 cups of water per day.

We need to remember that in the unit rate we have as the denominator one unit of any quantity.

In this case, we have a day as the denominator one day, since:

In summary, therefore, the unit rate, in this case, is 8 cups of water per day:

The number of total selections that can be made is 1184040 i.e., option e is correct.

The number of different combinations of x objects from a set of n elements is given by the formula mentioned below:

\(C_{n,x}\) = \(\frac{n!}{x!(n-x)!}\)

This formula is used when the order in which the elements are chosen does not matter.

As per the question we know that seven tablets are chosen from a set of 28 tablets, hence the number of selections that can be made is given by:

\(C_{28,7}\) = \(\frac{28!}{7!(28-7)!}\)

\(C_{28,7}\) = ( 28 × 27 ×26 × 25 × 24 × 23 × 22 × 21! ) / ( 7! × 21!)

\(C_{28,7}\) = ( 28 × 27 ×26 × 25 × 24 × 23 × 22 ) / ( 7 × 6 × 5 × 4 × 3 × 2 × 1 )

\(C_{28,7}\) = 1184040

Thus, we can conclude that  total selections that can be made is 1184040.

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Answer: it’s b

Step-by-step explanation:

Answer:

answer is B

Step-by-step explanation:

its b

Answer:

the nth term of a sequence is usually denoted by the symbole an . a1 =2 the second term is a2=6 and so....

A term is multiplied by 3 to get the next term . if you know the formula for the nth term of a sequence of n , then you can find any term .

formula : an =a1 + ( n - 1 ) d

hope its helpful . Good luck ;)

Answer:

-3, 3, 4, 0

Step-by-step explanation:

Answer:

-3/3/4/0

Step-by-step explanation:

Everything on the read line are integer solutions.

Graph −3≤x≤4:

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Answer:

x=5

Step-by-step explanation:

math

The value of Tessa's stock increased from $235.0 to $293.75. To calculate the percentage increase, we need to determine the difference in value and divide it by the original value, then multiply by 100.

The percentage increase in the value of Tessa's stock can be calculated using the formula:

Percentage Increase = ((New Value - Original Value) / Original Value) * 100

In this case, the original value of Tessa's stock is $235.0, and the new value is $293.75. Plugging these values into the formula, we have:

Percentage Increase = (($293.75 - $235.0) / $235.0) * 100

Calculating the numerator first, we have $293.75 - $235.0 = $58.75.

Then, dividing this by the original value, we get $58.75 / $235.0 = 0.25.

Finally, multiplying this result by 100 gives us 0.25 * 100 = 25%.

Therefore, the percentage increase in the value of Tessa's stock is 25%.

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Step-by-step explanation:

the middle one has to be the same for both part ratios.

the best here is to bring the ratio element of B in the first part ratio to 10. we need to double the B element there

for that (as a ratio is a fraction) we also have to adapt the A element in the same way.

so, we get

4×2 : 5×2 : 9 =

= 8 : 10 : 9

and that is also shown in the graphic.

Answer:

X:Y:Z= 8:10:9

Step-by-step explanation:

Let x be the number of students in class A

Let y be the number of students in class B

Let z be the number of students in class C

x:y = 4:5

y:z= 10: 9

x:y:z = ?

Find the LCM of the y terms (5 and 10 ) which is 10

Divide 10 by the first y term (5) = 2

Divide 10 by the second y term(10) = 1

X: y = (4 x 2) :(5 x 2)= 8:10

y:z =(10 x 1) : (9:1)= 10:9

x:y:z= 8:10:9

Answer:

Increasing, because it's going from a negative number to a positive number

Step-by-step explanation:

Answer:

The change should Sara receive from the $10 bill is $3.56.

Step-by-step explanation:

Given:

The table shows the prices of some breakfast items at a restaurant.

Item                                      Price

One egg                               $1.69

Slice of bacon                      $1.49

Glass of orange juice           $1.09

Sara ordered 2 eggs, a slice of bacon, and  a glass of orange juice for breakfast.

The sales tax for the order was $0.48.

She paid for her breakfast with a  $10 bill.

Now, to find the change should Sara receive from the $10 bill.

Bill for the Sara's breakfast:

2 eggs =  2 x 1.69 = 3.38

A slice of bacon = $1.49.

A glass of orange = $1.09.

The sales tax = $0.48.

Total bill =  3.38 + 1.49 + 1.09 + 0.48 = 6.44

Sara paid for the breakfast bill = $10.

Now, to get the change Sara should receive we subtract the amount of bill from the money Sara paid for the bill:

sara paid for the breakfast bill - total bill

=10 - 6.44

=3.56

Therefore, the change should Sara receive from the $10 bill is $3.56.

hope it helps!

Answer:

6,000 20%

Step-by-step explanation:

It should be B correct me if I'm wrong but it should be B.

Answer:

-7c^2+2c is standard or simplified form degree is 2 and leading coefficient is -7

Step-by-step explanation:

please give brainliest im only 9 and uh have a good day bye

:D

Answer:

The answer is 30°

Step-by-step explanation:

60°+X=90°

X=90°-60°

X=30°

Answer:C

Step-by-step explanation:

Answer:

A. √25

General Formulas and Concepts:

Math

Step-by-step explanation:

Step 1: Define

A. √25

B. √123

C. √20

D. π

Step 2: Identify

A. √25 = 5; Rational

B. √123 ≈ 11.0905...; Irrational

C. √20 = 2√5 ≈ 4.47214...; Irrational

D. π ≈ 3.1415926535897932384626433832795...; Irrational

Therefore, our answer choice is A.

Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

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The required coordinate of the vertex R is given as (-4, 0).

Given that,
Three vertices of parallelogram PQRS are P(1, 4), Q(3, 2) and S(−2, −2). Identify the coordinates of vertex R.

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

Here,
Draw the parallelogram with the help of the three points,
So from the graph, the coordinate of Point R is (-4,0).

Thus, the required coordinate of the vertex R is given as (-4, 0).

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Answer:

that looks hard sucks for you

Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables.  the correct option is B. 0.37.

The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.

If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.

To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.

For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:

r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.

Hence, the correct option is B. 0.37.

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Answer: 0.90 g/cm3

Step-by-step explanation:

Their ratio is given by the mass density of ice: M/V = Rhoi ~ 0.90 g/cm3 (iceberg ice is more dense than normal ice since it has been compressed by thousands of years of pressure - normal ice is 0.917 g/cm3).

Answer:

Basal melting of floating ice shelves and iceberg calving constitute the two ... of the Southern Ocean free of large icebergs are largely populated by small iceberg  the hidden part, which is the most important in terms of effort and often the most  So this work explores use of NISAR to map surface structures visible on ice

Step-by-step explanation:

The horses' average speeds are approximately:

(a) mi/s: 0.0102 mi/s

(b) mi/h: 58.06 mi/h

To calculate the horses' average speeds, we need to calculate the speed as distance divided by time.

We have:

Distance: 1.50 miles

Time: 147 seconds

(a) To calculate the average speed in mi/s, we divide the distance by the time:

Average speed = Distance / Time

Speed of Fiddle Isle = 1.50 miles / 147 seconds ≈ 0.0102 mi/s

Speed of John Henry = 1.50 miles / 147 seconds ≈ 0.0102 mi/s

(b) To calculate the average speed in mi/h, we need to convert the time from seconds to hours:

Average speed = Distance / Time

Since 1 hour has 3600 seconds, we can convert the time to hours:

Time in hours = 147 seconds / 3600 seconds/hour

Speed of Fiddle Isle = 1.50 miles / (147 seconds / 3600 seconds/hour) ≈ 58.06 mi/h

Speed of John Henry = 1.50 miles / (147 seconds / 3600 seconds/hour) ≈ 58.06 mi/h

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Answer:

6 1/10

Step-by-step explanation:

Convert the mixed numbers into improper fractions (denominator × whole number + numerator / denominator):

9 2/5 = 47/5

3 3/10 = 33/10

Convert improper fractions to have the same denominator:

47/5 × 2/2 = 94/10

Find the difference by subtracting the numerators:

94/10 - 33/10 = 61/10

Convert the answer into a mixed number:

61/10 = 6 1/10