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SVEN [57.7K]
3 years ago
9

Find the difference of (-3-3i)-(6-5i). Show your work.

Mathematics
2 answers:
QveST [7]3 years ago
7 0

Answer:-9+2I

Step-by-step explanation: MUTIPLYING THE SECOND BRACKET BY THE NEGATIVE SIGN.

(-3-3I)(-6+5I)

COLLECTING LIKE TERMS

(-3-6)(-3I+5I)

=-9+2I

sweet [91]3 years ago
6 0

Answer:

The difference is:

-9+2i

Step-by-step explanation:

We have the subtraction of two complex numbers.

(-3-3i)-(6-5i)

To solve the operation, the product of:

-(6-5i)

-6 +5i

Now add the two expressions. Add real numbers with real numbers and complexes with complex numbers

-3-3i-6 +5i

-3-6 +5i-3i

-9+2i

The difference is:

-9+2i

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d1i1m1o1n [39]

<u>Given</u>:

The given expression to find the nth term of the sequence is d(n)=d(n-1) \cdot (-5)

The first term of the sequence is d(1)=8

We need to determine the third term of the sequence.

<u>Second term:</u>

The second term of the sequence can be determined by substituting n = 2 in the nth term of the sequence.

Thus, we have;

d(2)=d(2-1) \cdot (-5)

d(2)=d(1) \cdot (-5)

d(2)=8 \cdot (-5)

d(2)=-40

Thus, the second term of the sequence is -40.

<u>Third term:</u>

The third term of the sequence can be determined by substituting n = 3 in the nth term of the sequence.

Thus, we have;

d(3)=d(3-1) \cdot (-5)

d(3)=-40 \cdot (-5)

d(3)=120

Thus, the third term of the sequence is 120.

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3 years ago
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An individual is planning a trip to a baseball game for 16 people. Of the people planning to go to the baseball game, 8 can go o
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Answer: There are 4 people who only go to the game on Saturday.

Step-by-step explanation:

Let the number of people go on Saturday be n(A).

Let the number of people go on Sunday be n(B).

Since we have given that

n(A) = 8

n(B) = 12

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According to rules, we get that

n(A)+n(B)-n(A\cap B)=n(A\cup B)\\\\8+12-n(A\cap B)=16\\\\20-n(A\cap B)=16\\\\n(A\cap B)=20-16=4

So, n(only go on Saturday) = n(only A) = n(A) - n(A∩B) = 8-4 = 4

Hence, there are 4 people who only go to the game on Saturday.

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The _______ of an observation is determined by how far the values of the independent variables are from their means.
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Answer:

The leverage of an observation is determined by how far the values of the independent variables are from their means.

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