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3 years ago

Determine the prime factorization of 64.

1 answer:

8 0

You can draw a factor tree, until all leaves are primes:

64
2 * 32
2 * 2 * 16
2 * 2 * 2 * 8
2 * 2 * 2 * 2 * 4
2 * 2 * 2 * 2 * 2 * 2

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Xion and Kyndol wanted to have a contest to see which of their paper airplanes could fly the longest distance. xion's plane flew

iVinArrow [24]

3.21 meters

There's 100 centimeters in a meter (centi means 100) so 79 centimeters equals 0.79 meters. So 4 - 0.79 is 3.21

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2 years ago

slader How many partitions of the set {1, 2, 3, . . . , 100} are there such that there are exactly three parts and elements 1, 2

My name is Ann [436]

Answer:

$3^{97}$ partitions.

Step-by-step explanation:

As we know if we have x number of elements we can arrange them in x! ways.

here we have 100 elements so we can arrange them in 100! ways.

Now if we have exactly three parts and 1,2 and 3 are in different parts then let consider 1 goes to part 1, 2 goes to part 2, and 3 goes to part 3. For the remaining 97 elements, we have three options for each element, thus we can arrange the remaining 97 elements in $3^{97}$ ways/partitions.

each of these partition will contain only three elements.

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3 years ago

What is the y intercept of a graph containing the two points (3,1) and (7,-2)?

olasank [31]

The y intercept of a graph containing the two points (3,1) and (7,-2) is $\frac{13}{4}$

Solution:

Given points are (3, 1) and (7, -2)

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Let us first find the slope of line

The slope of line is given as:

$m = \frac{y_2-y_1}{x_2-x_1}$

Here the points are (3, 1) and (7, -2)

$(x_1, y_1) = (3, 1)\\\\(x_2, y_2) = (7, -2)$

Substituting in formula, we get

$m = \frac{-2-1}{7-3}\\\\m = \frac{-3}{4}$

To find the y intercept:

$\text{Substitute } m = \frac{-3}{4} \text{ and } (x, y) = (3, 1) \text{ in eqn 1 }$

$1 = \frac{-3}{4} \times 3 + c\\\\1 = \frac{-9}{4} + c\\\\ \text{Simplify the above equation } \\\\1 = \frac{-9+4c}{4}\\\\4 = -9 + 4c\\\\13 = 4c\\\\\text{Divide both sides by 4 }\\\\c = \frac{13}{4}$

Thus y -intercept is $\frac{13}{4}$

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3 years ago

There is actually 2 questions

Zanzabum

Answer:

not sure but i need points

Step-by-step explanation:

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2 years ago

Please help with this one -30= -9x - 3=???

Naily [24]

Answer:

x=3

Step-by-step explanation:

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2 years ago