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3 years ago

In how many orders can eight actors be listed in the opening credits of a movie

Mathematics

2 answers:

alexgriva [62]3 years ago

8 0

Answer:

There are 64 ways

Gemiola [76]3 years ago

5 0

Answer:

Eight actors can be listened a number of 64 different ways.

Step-by-step explanation:

Eight actors multiplied by the number of ways it is listed

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Solve each equation. I don't know this

MArishka [77]

1. $(2x - 3)(x + 7) = 0$
   $2x^{2} + 14x - 3x - 21 = 0$
   $2x^{2} + 11x - 21 = 0$

   $x = \frac{-11 +/- \sqrt{11^{2} - 4(2)(-21)}}{2(2)}$

   $x = \frac{-11 +/- \sqrt{121 + 168}}{4}$

   $x = \frac{-11 +/- \sqrt{289}}{4}$

   $x = \frac{-11 +/- 17}{4}$

   $x = -2.75 +/- 4.25$
   $x = -2.75 + 4.25$    $x = -2.75 - 4.25$
   $x = 1.5$    <u></u> $x = -7$
---------------------------------------------------------------------------------------------------------- 2. $8x(2x - 5) = 0$
   $8x(2x) - 8x(5) = 0$
   $16x^{2} - 40x = 0$
   $16x^{2} - 4x + 0 = 0$

   $x = \frac{-(-40) +/- \sqrt{(-40)^{2} - 4(16)(0)}}{2(16)}$

   $x = \frac{40 +/- \sqrt{1600 - 0}}{32}$

   $x = \frac{40 +/- \sqrt{1600}}{32}$

   $x = \frac{40 +/- 40}{32}$

   $x = 1.25 +/- 1.25$
   $x = 1.25 + 1.25$       $x = 1.25 - 1.25$
   $x = 2.5$          $x = 0$
----------------------------------------------------------------------------------------------------------
3. $x^{2} + 3x - 10 = 0$

   $x = \frac{-3 +/- \sqrt{3^{2} - 4(1)(-10)}}{2(1)}$

   $x = \frac{-3 +/- \sqrt{9 + 40}}{2}$

   $x = \frac{-3 +/- \sqrt{49}}{2}$

   $x = \frac{-3 +/- {7}}{2}$

   $x = -1.5 +/- 3.5$
   $x = -1.5 + 3.5$    $x = -1.5 - 3.5$
   $x = 2$        $x = -5$
----------------------------------------------------------------------------------------------------------
4. $x^{2} = 13x - 36$
    $x^{2} - 13x + 36 = 13x - 13x - 36 + 36$
    $x^{2} - 13x + 36 = 0$

    $x = \frac{-(-13) +/- \sqrt{(-13)^{2} - 4(1)(36)}}{2(1)}$


    $x = \frac{13 +/- \sqrt{169 - 144}}{2}$

    $x = \frac{13 +/- \sqrt{25}}{2}$

    $x = \frac{13 +/- 5}{2}$

    $x = 6.5 +/- 2.5$
    $x = 6.5 + 2.5$ $x = 6.5 - 2.5$
    $x = 9$    $x = 4$
----------------------------------------------------------------------------------------------------------
5. $3x^{2} - 7x + 2 = 0$

   $x = \frac{-(-7) +/- \sqrt{(-7)^{2} - 4(1)(2)}}{2(3)}$

   $x = \frac{7 +/- \sqrt{49 - 8}}{6}$

   $x = \frac{7 +/- \sqrt{41}}{6}$

   $x = \frac{7 +/- 6.403124237432849}{6}$

   $x = 1.167+/- 1.06718737290547$
   $x = 1.67 + 1.06718737290547$ $x = 1.167 - 1.06718737290547$
   $x = 2.73718737290547$    $x = 0.60281262709453$
----------------------------------------------------------------------------------------------------------
6. $10x^{2} - 10x + 9 = 5x^{2} + 4x + 1$
   $10x^{2} - 5x^{2} - 10x + 10x + 9 - 1 = 5x^{2} - 5x^{2} + 4x + 10x + 1 - 1$
   $5x^{2} + 8 = 14x$
   $5x^{2} - 14x + 8 = 14x - 14x$
   <u /> $5x^{2} - 14x + 8 = 0$

   $x = \frac{-(-14) + \sqrt{(-14)^{2} - 4(5)(8)}}{2(5)}$

   $x = \frac{14 +/- \sqrt{196 - 160}}{10}$

   $x = \frac{14 +/- \sqrt{36}}{10}$ .

   $x = \frac{14 +/- 6}{10}$

   $x = 1.4 +/- 0.6$
   $x = 1.4 + 0.6$       $x = 1.4 - 0.6$
   <u /> $x = 2$ $x = 0.8$

5 0

4 years ago

Is the square root of (10)^2 irrational

Law Incorporation [45]

No. It's rational. The solutions are +10 and -10.

7 0

3 years ago

Read 2 more answers

Question 1. Philant sleeps 3/8 of each day. He spends 1/3 of each day at work. What fraction of his day is he not sleeping or wo

Vaselesa [24]

The first question. 7/24

Explanation: first you need to get the fractions to the same denominator so you use lowest common multiples
The lowest common multiple of 8 and 3 is 24 so you times both 3 and 8 by 3 giving you 9/24 and then you times both 1 and 3 by 8 giving you 8/24
When you add these together you get 17/24 so the rest of that would be 7/24

8 0

3 years ago

The area of a circle is pi(9x2 + 6x + 1) square cm. Find an expression for the length of the circles radius

Ainat [17]

Answer:

r = 3x + 1

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Here

πr² = π(9x² + 6x + 1) ← divide both sides by π

r² = 9x² + 6x + 1 ← perfect square

r² = (3x + 1)² , thus

r = 3x + 1

8 0

3 years ago

Bella is baking chocolate chip cookies for an event. It takes of a cup of flour to bake 6 cookies. She uses cups of flour for ev

Natasha2012 [34]

Bella is baking chocolate chip cookies for an event. It takes of a cup of flour to bake 6 cookies. She uses cups of flour for every 50 chocolate chips used. There are a total of 150 chocolate chips for each tray of cookies. If Bella is baking 2 trays of chocolate chip cookies, then how many cookies will she bake in total? A. 32 cookies B. 66 cookies C. 90 cookies D. 40 cookies

7 0

3 years ago

Read 2 more answers