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2 years ago

9

Five comedians (Joe, Beth, Seth, Lucia and Darth) are planning a show. The order of each performance is randomly selected. How m

any different orders are possible?

2 answers:

Deffense [45]2 years ago

5 0

The five comedians should have around three

Mademuasel [1]2 years ago

3 0

The show of the five comedians should be around three

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If a=2b^3 and b= -1/2c ^-2,express a in terms of c.

ElenaW [278]

Answer:

Part 1) $a=-\frac{1}{4c^6}$

Part 2) $a=-\frac{1}{4c^{-6}}$

Step-by-step explanation:

Part 1) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2}c^{-2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{1}{2}c^{-2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}$

therefore

$a=-\frac{1}{4c^6}$

Part 2) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{c^{2}}{2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})$

simplify

$a=-\frac{c^{6}}{4}$

therefore

$a=-\frac{1}{4c^{-6}}$

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3 years ago

The graph of y = ax 2 + bx + c is a parabola that opens up and has a vertex at (-2, 5). What is the solution set of the related

loris [4]

Answer: Assume c = 0

Step-by-step explanation:

Step-by-step explanation:

Assume c = 0

Using the formula for the x-coordinate of the vertex, b can be calculated in terms of a:

B can then be substituted into the quadratic equation, along with the coordinates of the vertex, to solve a:

AND

Substituting into the quadratic equation:

Because a is negative, the parabola opens up.

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3 years ago

How does making a list help you find common factors

Flura [38]

Is the greatest factor that two or more numbers have in common. One way to find the GCF is to make lists of the factors for two numbers and then choose the greatest factor that the two factors have in common.

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Rudiy27

Answer:

yes they are the same

Step-by-step explanation:

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Nimfa-mama [501]

As per the problem

The chemicals in my swimming pool use a ratio of 5 tablets of chlorine for every 14 days.

we have been asked to find

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Since for each 14 days the number of tablets required is 5

So if you multiply the number of days by some number then, we will have to multiply the number of tablets required by the same number.

So When number of days $=14*3=42\\$

Then the number of tablets required for 42 days is $=5*3=15\\$

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