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3 years ago

A closet contains 5 shirts, 8 skirts, and 3 pairs of shoes. How many possible outfit combinations are there?

Mathematics

2 answers:

stellarik [79]3 years ago

8 0

Answer:

120 combos

Step-by-step explanation:

VOTE ME FOR BRAINILEST.

horsena [70]3 years ago

4 0

actually the answer is 120, apex:)

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The length of segment AB is 9 mm.

sladkih [1.3K]

Answer:AB is the shortest segment in ABC

AC = 2AB

6 0

3 years ago

Read 2 more answers

Please solve this for me <br><br> 9x+6+45=100

mamaluj [8]

I hope this helps with your answer

5 0

3 years ago

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From Euler’s relation eiθ = cosθ + isinθ,

adelina 88 [10]

Answer:

(a) The graphic representation is in the attached figure.

(b) $\cos(\theta) = \frac{e^{i\theta} + e^{-i\theta}}{2}$ .

(c) $\sin(\theta) = \frac{e^{i\theta} - e^{-i\theta}}{2i}$ .

Step-by-step explanation:

(a) Given a complex number $e^{i\theta}$ we know, from Euler's formula that $e^{i\theta} = \cos(\theta)+i\sin(\theta)$ . So, it is not difficult to notice that

$|e^{i\theta}|^2 = \cos^2(\theta)+\sin^2(\theta) =1$

so it is on the unit circumference. Also, notice that the Cartesian representation of the complex number is $(\cos(\theta), \sin(\theta))$ .

Now,

$e^{-i\theta} = \cos(\theta)+i\sin(-\theta) = \cos(\theta)-i\sin(\theta)$ .

Notice that $e^{-i\theta}$ has the same modulus that $e^{i\theta}$ , so it is on the unit circumference. Beside, its Cartesian representation is $(\cos(\theta), -\sin(\theta))$ .

So, the points $(\cos(\theta), \sin(\theta))$ and $(\cos(\theta), -\sin(\theta))$ are symmetric with respect to the X-axis. All this can be checked in the attached figure.

(b) Notice that

$e^{i\theta} + e^{-i\theta} = \cos(\theta)+i\sin(\theta) + \cos(\theta)-i\sin(\theta) = 2\cos(\theta)$

Then,

$\cos(\theta) = \frac{e^{i\theta} + e^{-i\theta}}{2}$ .

(c) Notice that

$e^{i\theta} - e^{-i\theta} = \cos(\theta)+i\sin(\theta) - \cos(\theta)+i\sin(\theta) = 2i\sin(\theta)$

Then,

$\sin(\theta) = \frac{e^{i\theta} - e^{-i\theta}}{2i}$ .

7 0

3 years ago

Daniel’s Print Shop purchased a new printer for 35,000. Each year it depreciates at a rate of 5%. How much will the printer be w

aleksley [76]

Answer:

23219.72

Step-by-step explanation:

The formula for exponential decay is a*(1-r)^t, where a is the initial amount, r is the rate, and t is the time. If we use the equation you get 35000*(1-0.05)^8=23219.72

6 0

3 years ago

If c(x) = 4x-2 and d(x) = x^2+5x, what is (CoD)(x)

Alik [6]

$\bf \begin{cases}
c(x)=4x-2\\
d(x)=x^2+5x
\end{cases}\qquad (c\circ d)(x)\iff c[\ d(x)\ ]
\\\\\\
c[\ d(x)\ ]=4\boxed{d(x)}-2\implies c[\ d(x)\ ]=4\left( \boxed{x^2+5x} \right)-2
\\\\\\
 c[\ d(x)\ ]=4x^2+20x-2$

3 0

4 years ago