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tatuchka [14]
2 years ago
12

What is a number of subsets for the set which contains the 10 elements.

Mathematics
1 answer:
Sonja [21]2 years ago
7 0

Answer:

The number of subsets of a set containing 10 elements is 2^10=1024.

Step-by-step explanation:

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At a pizzeria one day, 15% of the pizzas sold were topped with mushrooms.If 12 pizzas were topped with mushrooms, what was the t
Vanyuwa [196]

15% = 12 out of 100%

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2 years ago
Can you please help me
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Either solve the equations directly, or graph them and look for the point of intersection.  

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2 years ago
Find maclaurin series
Mumz [18]

Recall the Maclaurin expansion for cos(x), valid for all real x :

\displaystyle \cos(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n)!}

Then replacing x with √5 x (I'm assuming you mean √5 times x, and not √(5x)) gives

\displaystyle \cos\left(\sqrt 5\,x\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt5\,x\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^{2n}}{(2n)!}

The first 3 terms of the series are

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and the general n-th term is as shown in the series.

In case you did mean cos(√(5x)), we would instead end up with

\displaystyle \cos\left(\sqrt{5x}\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt{5x}\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^n}{(2n)!}

which amounts to replacing the x with √x in the expansion of cos(√5 x) :

\cos\left(\sqrt{5x}\right) \approx 1 - \dfrac{5x}2 + \dfrac{25x^2}{24}

7 0
2 years ago
A map has a scale of 3 cm: 18 km. If Riverside and Smithville are 54 km apart then how many cm is that on a map?
Sladkaya [172]

Answer:

9 cm

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If the scale is 3cm:18 km, then x cm : 54km will be the distance between Riverside and Smithville. Since 18 *3 = 54 then 3cm * 3 = 9cm. On the map they are 9 cm apart.


5 0
3 years ago
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