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xenn [34]
3 years ago
10

what is (1/2 times 14 times 11) times 9.5 I'm doing volume of triangular prisms in math and i need help doing the muliplcaion pr

oblem
Mathematics
1 answer:
Andre45 [30]3 years ago
8 0
\frac{1}{2} X 14=  \frac{1}{28}
\frac{1}{28} X 11=  \frac{1}{308}
\frac{1}{308} X 9.5 =  \frac{1}{2926} or 2926.
Hope this helped!
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In order to answer the following question, please use the following image down below:
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Answer:

23

Step-by-step explanation:

(x-3)(9) = (10)(18)

9x - 27 = 180

9x = 207

x = 23

5 0
3 years ago
List the first 10 terms of each of these sequences.
harina [27]
Q1)
the sequence should start with 10, after that each term is calculated by subtracting 3 from the previous term.
1st term - 10
2nd term - 10 - 3 = 7
3rd term  - 7 - 3 = 4
4th term - 4 - 3 = 1
5th term  - 1 - 3 = -2
6th term - -2 - 3 = -5
7th term - -5 - 3 = -8 
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9th - -11 - 3  = -14
10th -14 - 3 = -17
the sequence is - 10,7,4,1,-2,-5,-8,-11,-14,-17

Q2) 
<span>the sequence whose nth term is the sum of the first n positive integers
In this we get the term by adding all the integers of the terms before that term 
1st term - n = 1 no terms before this , therefore 0 + n(1)  = 1
2nd term -n =2  sum of integers before - 1 + n( 2) = 3
3rd - 3+3 = 6
4th - 6+4 = 10 
5th - 10 + 5 = 15
6th - 15 + 6 = 21
7th  - 21 + 7 = 28
8th - 28 + 8 = 36
9th - 36 + 9 = 45
10th -  45 + 10 = 55
this is a triangular number pattern
this number pattern can be found out using ; n = (n x (n+1))/2

sequence is - 1,3,6,10,15,21,28,36,45,55

Q3)
</span>the sequence whose nth term is 3n − 2n
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to find 1st term , n = 1
substituting n = 1 in the general term 
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2nd - 3x2- 2x2 = 6 - 4 = 2
3rd - 3x3 - 2x3 = 9-6 = 3
4th - 3x4 - 2x4 = 12 - 8 = 4
5th - 3x5 - 2x5 = 15 - 10 = 5
6th - 3x6 - 2x6 = 18 - 12 = 6
7th - 3x7 - 2x7 = 21 - 14 = 7
8th - 3 x8 - 2x8 = 24 - 16 = 8
9th - 3x9 - 2x9 = 27 - 18 = 9
10th - 3x10 - 2x10 = 30-20 = 10

sequence is 1,2,3,4,5,6,7,8,9,10

Q4)
<span>the sequence whose nth term is √ n
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3rd - √3 = 1.73
4th - √4 = 2
5th - √5 = 2.23
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7th - √7 = 2.65
8th- √8 = 2.82
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10th - √10 = 3.16

The sequence is 1, 1.41, 1.73, 2, 2.23, 2.44, 2.65, 2.82, 3, 3.16

Q5)T<span>he sequence whose first two terms are 1 and 5 and each succeeding term is the sum of the two previous terms
</span>1st term - 1
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8th - 45 + 28 = 73
9th - 73 + 45 = 118
10th - 73+ 118 = 191

sequence is - 1,5,6,11,17,28,45,73,118,191
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2 years ago
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Answer:

See Below

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That rule is a transformation across the x-axys.

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A = (2, 7) => A' = (2, -7)

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C = (4, -3) => C' = (4, 3)

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