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Annette [7]
3 years ago
5

Name the sets of numbers to which -10 belongs

Mathematics
1 answer:
lesya [120]3 years ago
6 0
1 , 2, 3, -1, -2, -3
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Enter the explicit rule for the sequence
Softa [21]
Let's take a look at the first few numbers in the sequence based on the given rule:

a_{1}=6\\ a_{2}= \frac{1}{4}(6)\\ a_3= \frac{1}{4}\big( \frac{1}{4}\big)6= \big(\frac{1}{4}\big)^2(6)\\ a_{4}= \frac{1}{4} \big(\frac{1}{4}\big)^26= \big(\frac{1}{4}\big)^3(6)

Inspecting this pattern it seems like the power \frac{1}{4} is being raised to is always one less than the number of the sequence, so if we were on the nth number in the sequence, that part of the expression would be \big(\frac{1}{4} \big)^{n-1}. We also know that we'll be multiplying whatever we get from that by 6, so we can write the full explicit rule for our sequence as

a_n=6\big( \frac{1}{4} \big)^{n-1}

Where a_n is the nth number in our sequence.
8 0
3 years ago
Find the product of the given complex number and its conjugate.<br> 1/5+4i
nasty-shy [4]

Answer:

-15.96

Step-by-step explanation:

A conjugate is a binomial with the sign inside changed. So the conjugate of (1/5 + 4i) is (1/5 - 4i)

Set the original and the conjugate next to each other and F.O.I.L. Multiply the first numbers of each binomial, the 1/5 and the 1/5 to get 1/25. This is the "F."

Multiply the outer members, the 1/5 and the 4i to get - 60i. This is the "O."

Multiply the inner  numbers  ( the + 4i and the 1/5) to get + 60i. This is the "I."

Multiply the positive 4i and the negative 4i to get 16i squared

The positive 60i and the negative 60i cancel each other out.

The i squared changes into - 1. This makes the 16 negative.

Add 1/25 to - 16 to get - 15.96

4 0
3 years ago
Add [ –6 –2 2] + [–3 2 1].
skad [1K]
The answer is... A hope this helps
3 0
3 years ago
Help me with this as well i am struggling
Ilya [14]

Answer:

3

Step-by-step explanation:

see image

8 0
2 years ago
If the points (-2, 2), (-4, 4), (2, -2), and (4, -4) are joined to form a straight line, at what point does the line intersect t
BlackZzzverrR [31]
The line would intersect with the y-axis at (0,0)
8 0
3 years ago
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