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k0ka [10]
3 years ago
7

How many different 4 color code stripes can be made on a sports car if each code consists of the colors green, red, blue, and wh

ite. all colors are used only once?
Mathematics
1 answer:
Akimi4 [234]3 years ago
5 0
From the list of colors: green, red, blue, and white, there are four colors. The concept that should be used in order to determine the number of 4-color code stripes that can be drawn in the sports car is the concept of BASIC PRINCIPLE OF COUNTING.

The equations that would best help us in answering the question is,
                         n = 4! (that is, four factorial)
For the first pick, there are four choices. When one is already used then, there are only 3 choices for the second color, and so on until the last color. 
                         n = 4 x 3 x 2 x 1 = 24
Thus, there are 24 types of 4-color codes. 
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Answer:

(B)  y=-2x+ \dfrac{7}{6}

Step-by-step explanation:

Given the point-slope form of the equation of a line below:

y-\dfrac{2}{3}=-2\left(x- \dfrac{1}{4}\right)

We are required to write it in the slope-intercept form, y=mx+c.

y-\dfrac{2}{3}=-2\left(x- \dfrac{1}{4}\right)\\\\y-\dfrac{2}{3}=-2x+ \dfrac{2}{4}\\\\y=-2x+ \dfrac{2}{4}+\dfrac{2}{3}\\\\y=-2x+ \dfrac{7}{6}

The slope intercept form is:

y=-2x+ \dfrac{7}{6}

<u>The correct option is B.</u>

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3 years ago
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ivann1987 [24]
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Find an explicit formula for the geometric sequence 2, 6, 18, 54, ....
Eddi Din [679]

The geometric sequence can be represented explicitly or as recursions

The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

<h3>How to determine the explicit formula?</h3>

The sequence is given as:

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Start by calculating the common ratio (r)

r = b2/b1

This gives

r = 6/2

Evaluate the quotient

r = 3

A geometric sequence is represented as:

b(n) = b1 * r^(n-1)

This gives

b(n) = 2 * 3^(n-1)

Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

Read more about geometric sequence at:

brainly.com/question/24643676

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1 / 128 = (2/3) / x....1 cup to 128 grams = 2/3 cups to x grams
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