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Angelina_Jolie [31]
2 years ago
11

Let $P$ be the set of $42^{\text{nd}}$ roots of unity, and let $Q$ be the set of $70^{\text{th}}$ roots of unity. How many eleme

nts do $P$ and $Q$ have in common
Mathematics
1 answer:
klio [65]2 years ago
8 0

Answer:

The answer to the given question can be defined as follows:

Step-by-step explanation:

\to GCF(42, 70) = 7

Therefore, the common roots of unity were  

\to e^{\pm i 2\pi \frac{k}{7}}\\\\\ where \\ \\ k=0,1,...... 6

That's why the  answer is 14 for these

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Find the area of the given shape
mel-nik [20]

Answer:

Here are some formulas and some info to get you started:

Step-by-step explanation:

Parallelogram:

Area = Base · Height

Triangle:

Area = 1/2 · Base · Height

Know that the height is the vertical dotted line. Also know that the horizontal dotted line attached to the base is not actually part of the base.

If you need any more help let me know, and good luck!

6 0
2 years ago
Before a sale, an item’s price was $18.00, but this was discounted during the sale to a new price of $14.40. What was the percen
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7 0
3 years ago
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I will appreciate your help
KatRina [158]

Answer:

Hello! answer: 252

Step-by-step explanation:

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3 years ago
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Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?
Vaselesa [24]
ANSWER

f( - 6) =  10


EXPLANATION

The given function is
f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40

According to the remainder theorem,

f( - 6) = R
where R is the remainder when
f(x)

is divided by
x + 6


We therefore substitute the value of x and evaluate to obtain,

f( - 6) =  { (- 6)}^{4}  + 8 {( - 6)}^{3}  + 10 { (- 6)}^{2}  - 7( - 6)+ 40




f( - 6) =  1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40




f( - 6) =  1296  - 1728 + 360  + 42+ 40



This will evaluate to,


f( - 6) =  10


Hence the value of the function when
x =  - 6

is
10



According to the remainder theorem,
10
is the remainder when

f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40
is divided by
x + 6
3 0
3 years ago
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solong [7]

M—4, 4 cards less than the original M number of cards.

8 0
3 years ago
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