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3 years ago

Choose one of the factors of x^15 − 64.

1 answer:

6 0

x^15 − 64
= x^15 - 4^3
=(x^5)^5 - 4^3
= (x^5 - 4) (x^10 + 4x^5 + 16)

answer
a. x^5 − 4

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natta225 [31]

Answer:

$\huge \boxed{x=180}$

Step-by-step explanation:

15% of x = 27

$\sf 15\% \cdot x =27 \\\\\\ 0.15x=27 \\\\\\ Divide \ both \ sides \ by \ 0.15. \\\\\\ \frac{0.15x}{0.15} = \frac{27}{0.15} \\\\\\ x = 180$

15% of 180 is 27.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Option C is the correct answer.

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2 years ago

How many ways are there to select a 5-card hand from a regular deck such that the hand contains at least one card from each suit

Snezhnost [94]

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There are 685464 ways of selecting the 5-card hand

Step-by-step explanation:

Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.

In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have ${13 \choose 2} = 78$ possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.

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