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3 years ago

If an ice cream store has 4 different flavors, Apple, Blueberry, Cantaloupe, and Duck.

Mathematics

1 answer:

erica [24]3 years ago

6 0

Answer:

4 cones

24 cones

Step-by-step explanation:

1. If order doesn't matter, we usually use combinations. In this case, we have 4 different flavors, and we're just choosing 3 of them:

4C3 = $\frac{4!}{3! * 1!}$ = 4 cones

2. If order does matter, we use permutations. In this case, we have 4 flavors and we want 3 from them:

4P3 = 4 * 3 * 2 = 24 cones

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JulsSmile [24]

Let the given complex number

z = x + ix = $\dfrac{5-i}{3+2i}$

We have to find the standard form of complex number.

Solution:

∴ x + iy = $\dfrac{5-i}{3+2i}$

Rationalising numerator part of complex number, we get

x + iy = $\dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}$

⇒ x + iy = $\dfrac{(5-i)(3-2i)}{3^2-(2i)^2}$

Using the algebraic identity:

(a + b)(a - b) = $a^{2}$ - $b^{2}$

⇒ x + iy = $\dfrac{15-10i-3i+2i^2}{9-4i^2}$

⇒ x + iy = $\dfrac{15-13i+2(-1)}{9-4(-1)}$ [ ∵ $i^{2} =-1$ ]

⇒ x + iy = $\dfrac{15-2-13i}{9+4}$

⇒ x + iy = $\dfrac{13-13i}{13}$

⇒ x + iy = $\dfrac{13(1-i)}{13}$

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

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3 years ago

Quanto é 9+(-4-2)= ?

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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If parent functin is f(x)=|x|
it is moved to the left 2 units
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because
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to vertically strech function by factor of c, multiply whole function by c
to move funciotn up c units, add c to whole function

so it is 2 to the left, verteically streched by a factor of 3 then moved up 4 units

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4 years ago

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