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Marianna [84]
3 years ago
5

I'm not sure what this is exactly?

Mathematics
2 answers:
9966 [12]3 years ago
4 0
_nC_k=_nC_{n-k}

so
_{100}C_{98}=_{100}C_{100-98}=_{100}C_2=4,950
erik [133]3 years ago
3 0
\bf _nC_r=\cfrac{n!}{r!(n-r)!}\\\\\\ _{100}C_2=\cfrac{100!}{2!(100-2)!}\qquad\qquad _{100}C_{98}=\cfrac{100!}{98!(100-98)!}
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8
tia_tia [17]

Answer:

8-6i

Step-by-step explanation:

Multiply out (3-i)^2 in order to find out which expression it is equivalent to.

1) Since the whole quantity is squared, write it out as (3-i)(3-i).

(3-i)^2\\(3-i)(3-i)

2) Multiply binomials by using the FOIL method. Multiply the terms that are listed first in each binomial, then the ones that are listed outermost when looking at both binomials, then innermost, and finally the last terms listed in each binomial. Simplify and combine like terms.

(3-i)(3-i)\\9 - 3i - 3i + i^2

9 - 6i + i^2

3)  i = \sqrt{-1}, so i ^2 must be (\sqrt{-1} )(\sqrt{-1}). Thus, i^2 is equivalent to -1. Knowing this, simplify and combine like terms.

9 - 6i + ((-\sqrt{1} )(\sqrt{-1} ))

9 - 6i -1\\8 - 6i

Thus, it is equivalent to  8 - 6i .

6 0
3 years ago
If hugo goes out for dinner and pays 2$ of sales tax on a 20$ meal what percentage is the sales tax in his city?
vesna_86 [32]
<h3>Answer:  10%</h3>

Work Shown:

2/20 = 0.10 = 10%

Note that 10% of 20 = 0.10*20 = 2 dollars is the sales tax to help confirm the answer.

8 0
3 years ago
Altitudes AA1 and BB1 are drawn in acute △ABC. Prove that A1C·BC=B1C·AC
Sophie [7]

Answer:

See the attached figure which represents the problem.

As shown, AA₁ and BB₁ are the altitudes in acute △ABC.

△AA₁C is a right triangle at A₁

So, Cos x = adjacent/hypotenuse = A₁C/AC ⇒(1)

△BB₁C is a right triangle at B₁

So, Cos x = adjacent/hypotenuse = B₁C/BC ⇒(2)

From (1) and  (2)

∴  A₁C/AC = B₁C/BC

using scissors method

∴ A₁C · BC = B₁C · AC

7 0
3 years ago
Calculate the mode.5,10,12,4,6,11,13,5
ankoles [38]

Its 5.  Hope this helps!

5 0
3 years ago
Read 2 more answers
Kristin decides to spend at most $50 for a birthday dinner at a restaurant, including a 15% tip.,
Dmitry [639]
0.15x + x <(or equal to) 50
Where x is the meal's cost (no tip included)

50 - 15% = 42.5.
x >(or equal to) 42.50.

(nothing is copied content, I copy pasted a number into the right position, feel free to check it mods)
7 0
4 years ago
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