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never [62]
3 years ago
12

write out the sum using the summation notation, assuming the suggested pattern continues. -10-2+6+14+...+110

Mathematics
2 answers:
In-s [12.5K]3 years ago
6 0

 The answer is summation of the quantity negative ten plus eight n from n equals zero to fifteen

Ronch [10]3 years ago
5 0
The series is an arithmetic series with first term -10 and common difference (-2-(-10))=8. The general term a_n can be written as
  a_n = -10 + 8(n-1)
or
  a_n = -18+8n

The last term corresponds to
  110 = -18+8n
  128 = 8n
  16 = n

So, the summation can be written as
S_{16}=\sum\limits_{n=1}^{16}{(-18+8n)}
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Anastasy [175]
Well,. you could say bees in hive + bees in garden = bees in total.
8 0
3 years ago
ASAP JSUT NEED ANSWER NOT WORK HURRY
crimeas [40]

Answer:

B

Step-by-step explanation:

4x + 11y = 3

11y = -4x + 3

y = -4/11x + 3/11

perp. 11/4

y - 7 = 11/4(x - 2)

y - 7 = 11/4x - 11/2

y -14/2= 11/4x - 11/2

y = 11/4x + 3/2

5 0
3 years ago
(z^2)^n=z^10<br><br>the question asks to solve for n
g100num [7]

To solve this problem, all you have to do is set the exponents equal to each other because the bases are the same.

2n=10

<em>*Divide both sides by 2*</em>

n=5


The answer is 5.


Hope this helps!

3 0
3 years ago
Consider the following theorem and proof.Theorem: The number âš2 is not rational number.Proof: Let's suppose âš2 is a rational n
ololo11 [35]

Answer:

The statement "Both of the numbers a and b cannot be even." is justified by the fact that a/b is simplified lowest terms

Step-by-step explanation:

We need to  show that the √2 is an irrational number.

And from the given steps of proof stated in the question, we need to find the assumption that justifies the fact : " Both of the number a and b cannot be even".

First take the given options :

Option a : √2 is a rational number

√2 being an rational or irrational has no relation of a and b to be even or odd. So, this option is rejected.

Option B : a/b is simplified lowest terms

This shows that a and b are not even because if a and b are even then a/b can be simplified in other lowest term.

Option c : √2 is a irrational number

Similarly, By using the inverse part of Option A, option c is also rejected.

Option d : The fact that b divides a evenly

This only shows that the a is even. This does not give any idea about b is even or not. So option D is also rejected.

Option E : The fact that a and b are whole numbers

This fact does not imply that the a and b are even or odd. So option E is also rejected.

Hence, The statement "Both of the numbers a and b cannot be even." is justified by the fact that a/b is simplified lowest terms

7 0
3 years ago
Mabel spends 444 hours to edit a 333 minute long video. She edits at a constant rat\\\\\\\\\\\\\\e. How long does Mabel spend to
mestny [16]
Mabel spends 4 hours editing a 3 minute video. she edits at a constant rate. how long does mabel spend to edit a 9 minute video?

she spends 4 hours on a 3 minute video
so there are 60 minutes in an hour
4 hours with 60 minutes- 4x60=240
so she spent 240 minutes on a 3 minute video
3 divided by 240
3/240= 0.0125
so her constant rate is 0.0125 minutes an hour
so divide 9 minutes by her constant rate
9/0.0125 = 720
so she spends 720 minutes on a 9 minute video.
divide 720 by 60 since there are 60 minutes in an hour
720/60 = 12
so she spends 12 hours on a 9minute video
7 0
3 years ago
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