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defon
3 years ago
14

What type of counting problem is this? How many different sequences of 3 playing cards (from a single 52-card deck) exist?

Mathematics
1 answer:
n200080 [17]3 years ago
7 0

Answer:

Permutation without repetition

Step-by-step explanation:

The order of the cards matter, which makes it a permutation, but since none of the cards are exactly the same, repetition isn't allowed/possible

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Find the equivalent equation that does not contain fractions 2/3 x 7=1/2
mariarad [96]

Answer:

4x + 42 = 3

Step-by-step explanation:

Given:

\frac{2}{3}x + 7 = \frac{1}{2}

Required

Equivalent expression without fraction

To do this, we simply multiply through by a common multiple of the denominators in the expression.

The denominators are 2 and 3

2 = 2,4,6,8,10,..

3 = 3,6,9,12..

So, 6 is the least common multiple.

Multiply both sides by 6

6 * (\frac{2}{3}x + 7) = \frac{1}{2} * 6

6 *\frac{2}{3}x + 6*7 = \frac{1}{2} * 6

\frac{12}{3}x + 42 = \frac{6}{2}

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<em>Hence, an equivalent expression.</em>

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3 years ago
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4 0
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8 0
4 years ago
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Tyler buys 2 pairs of shoes every year. Which of the following expressions shows the total number of shoes he buys in z years? 2
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The function f(t) = 4t^2 − 8t + 6 shows the height from the ground f(t), in meters, of a roller coaster car at different times t
andreev551 [17]

Answer:

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Step-by-step explanation:

Here we're asked to rewrite the given equation f(t) = 4t^2 − 8t + 6 in the form f(t) = a(t - h)^2 + k (which is known as the "vertex form of the equation of a parabola.")  Here (h, k) is the vertex and a is a scale factor.

Let's begin by factoring 4 out of all three terms:

f(t) = 4 [ t^2 - 2t + 6/4 ]

Next, we must "complete the square" of t^2 - 2t + 6/4; in other words, we must re-write this expression in the form (t - h)^2 + k.

(To be continued)

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