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alina1380 [7]
3 years ago
14

What is the gcf of 24 30 42

Mathematics
2 answers:
olga55 [171]3 years ago
6 0

GCF(24, 30, 42) = 6 I think it is.

 

galina1969 [7]3 years ago
3 0
The gcf of all these numbers is 6
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The scale factor of dilation from ABC to A^{1} B^{1} C^{1} is 0.333.

Step-by-step explanation:

Step 1:

First, we plot the coordinates of both triangles.

The coordinates of the triangle A^{1} B^{1} C^{1} are as follows;

A^{1} = (2, 3), B^{1} = (2, 1), and C^{1} = (3, 1).

The coordinates of triangle ABC are;

A = (4, 9), B = (4, 3), and C = (7, 3).

Step 2;

Next, we need to find the distances between at least two coordinates for both triangles.

The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.

The distance of A^{1} B^{1} = 3-1=2, the distance of B^{1} C^{1} = 3-2=1.

The distance of AB =9-3=6, the distance of BC = 7-4=3.

Step 3;

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, it is the length of the AB.

So The scale factor for AB = \frac{2}{6} = \frac{1}{3} = 0.333.

The scale factor for BC = \frac{1}{3} = 0.333.

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3 years ago
Consider a population with population proportion p, and a sample from the population with sample proportion pˆ. Which of the fol
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According to CollegeBoard.org:

<u>Answer</u>: "To estimate the probability of observing a value as extreme as  pˆ  given  p."

<u>Explanation</u>: "The test statistic for a one-sample z-test is the distance, in units of standard deviations, between the statistic and the given parameter. From that distance, probabilities (a p-value) can be calculated and a claim can be assessed."

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Step-by-step explanation:

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3 years ago
What is the simplified form of the following expression? 7(^3 square root 2x) - 3 (^3 square root 16x) -3 (^3 square root 8x)
Pachacha [2.7K]

Answer:

The third option listed: \sqrt[3]{2x} -6\sqrt[3]{x}\\

Step-by-step explanation:

We start by writing all the numerical factors inside the qubic roots in factor form (and if possible with exponent 3 so as to easily identify what can be extracted from the root):

7\sqrt[3]{2x}  -3\sqrt[3]{16x} -3\sqrt[3]{8x} =\\=7\sqrt[3]{2x}  -3\sqrt[3]{2^32x} -3\sqrt[3]{2^3x} =\\=7\sqrt[3]{2x}  -3*2\sqrt[3]{2x} -3*2\sqrt[3]{x}=\\=7\sqrt[3]{2x}  -6\sqrt[3]{2x} -6\sqrt[3]{x}

And now we combine all like terms (notice that the only two terms we can combine are the first two, which contain the exact same radical form:

7\sqrt[3]{2x}  -6\sqrt[3]{2x} -6\sqrt[3]{x}=\\=\sqrt[3]{2x} -6\sqrt[3]{x}

Therefore this is the simplified radical expression: \sqrt[3]{2x} -6\sqrt[3]{x}\\

5 0
3 years ago
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