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kondaur [170]
3 years ago
7

Find the 23rd term in the sequence 2, 6, 10, 14, 18, 22

Mathematics
2 answers:
tatiyna3 years ago
7 0
Hello!

First you have to find the rule that the sequence is going by

6 - 2 = 4
10 - 6 = 4
14 - 10 = 4
18 - 14 = 4

They add 4 to the number every time

To find the 23rd term you multiply the rate by the term you want

23 * 4 = 92

Next you subtract the first number

92 - 2 = 90

The answer is 90

Hope this helps!
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

90

Step-by-step explanation:

The sequence 2, 6, 10, 14, 18, 22... is an arithmetic sequence with a common difference, CD, of 6 - 2 = 4

Using the general expression of An = A0 + (n-1)*CD,

the 23rd term, A23 = 2 + (23-1)*4

= 90

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Given sample set A= {1,2,3,4,5} how many items are in the complement of set B if set B= all numbers greater than 2? (30 pts)
neonofarm [45]

Alright, so first we need to establish two things.

First, the compliment of a set is like the extreme opposite; everything that is not in set B will be in the complement.

Second, we need to find out what B is.

Okay, so B is everything that is greater than 2, that's given. That includes 3, 4, and 5. B = {3, 4, 5}. There are three items in this set.

The numbers that aren't included are 1 and 2. The complement of B, let's call this C I guess, is C = {1, 2}. There are 2 items in this set.

The answer, I believe, is <em>two</em>. Hope this helps!

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3 years ago
How many times can Henry expect to roll a 4 if he rolls a fair number cube 120 times?
aleksklad [387]
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7 0
3 years ago
Solve for x. Round to 3 decimal places
iVinArrow [24]

Answer:

<h2>x = 727</h2>

Step-by-step explanation:

\log_ab=c\iff a^c=b\\\\Domain:\ x+2>0\to x>-2\\\\\log_3(x+2)-8=-2\qquad\text{add 8 to both sides}\\\\\log_3(x+2)=6\iff x+2=3^6\\\\x+2=729\qquad\text{subtract 2 from both sides}\\\\x=727\in D

3 0
3 years ago
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1. At a basketball championship game, students were polled and 82% of the students said that basketball is better than football.
zhuklara [117]

Step-by-step explanation:

(A)It says AT A BASKETBALL CHAMPIONSHIP so obviously most people there would’ve said basketball.

(B) Maybe try doing the whole school and not just the students at the basketball championship.

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8 0
4 years ago
16
vagabundo [1.1K]

Answer:

<h2>58°</h2>

Step-by-step explanation:

We will use the tangent function since we know the opposite and adjacent sides.

Tangent = opposite/adjacent

Tan(e) = 16/10

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Use the inverse tangent function to find the angle.

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3 years ago
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