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3 years ago

8

Suppose eded is going to burn a compact disk (cd) that will contain 5 songs. in how many ways can ed arrange the 5 songs on the

cd

1 answer:

QveST [7]3 years ago

5 0

There are 120 choices.

5 × 4 × 3 × 2×1 = 120 choices

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Help show work <br><br> A 85.7%<br> B 21.1%<br> C64.6%<br> D 35.4%

maksim [4K]

Answer:

C

Step-by-step explanation:

6 0

3 years ago

(X^4)-(45x^2)+324 what are the zeroes? And how many turning points?

dmitriy555 [2]

Zeroes:

We must solve

$x^4-45x^2+324=0$

To do so, we define the auxiliary variable $t=x^2$ . The equation becomes

$t^2-45t+324=0$

The quadratic formula yields the solutions

$t=9,\quad t=36$

Substituting back $t=x^2$ gives

$x^2=9 \iff x=\pm 3,\quad x^2=36 \iff x=\pm 6$

So, the zeroes are -6, -3, 3, 6.

Turning points:

Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.

We have

$f(x)=x^4-45x^2+324 \implies f'(x)=4x^3-90x$

If we set the derivative to be zero, we have

$4x^3-90x=0 \iff x(4x^2-90)=0$

So, the derivative is zero if x=0 or

$4x^2=90 \iff 2x^2=45 \iff x^2=\dfrac{45}{2}\iff x=\pm\sqrt{\dfrac{45}{2}}$

6 0

3 years ago

The costs of 2 sound systems were decreased by $10. The original costs of the systems were $90 and $60. Without calculating, whi

bezimeni [28]

The 60$ system had a greater percentage decrease because it was a lower number to begin with. Taking the same portion out of two different numbers will always be a greater decrease for the lower number.

4 0

3 years ago

Each scarf requires. Meters of yarn, and each beanie requires meters

stiv31 [10]

1 scarf = 6m of yarn

1 beanie = 2m of yarn

8 0

3 years ago

The cost (c) to hire a dog trainer is varies directly with the amount of time (h) in hours spent training the dog.

NNADVOKAT [17]

Answer:

Part A) The proportional equation is $c=55h$

Part B) 8 hours of training

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Let

c -----> the cost to hire a dog

h ----> the amount of time in hours

The linear equation is equal to

$c=kh$

Sue spent $660 on 12 hours of obedience training for her dog Muffin

Find the value of k (constant of proportionality)

$k=y/x$

substitute the values

$k=660/12=55$

therefore

The linear equation is

$c=55h$

For $c=\$440$

Find the value of h

substitute in the equation and solve for h

$440=55h$

$h=440/55=8\ hours$

5 0

3 years ago