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aleksandrvk [35]
2 years ago
5

The sequence 2, 3, 5, 6, 7, 10, … consists of

Mathematics
1 answer:
Kay [80]2 years ago
3 0

The 76th term is 86.

<h3>What is sequence?</h3>

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.

Given:

2, 3, 5, 6, 7, 10, …

The sequence consists of all natural numbers which are neither perfect squares nor perfect cubes.

We can as well sum the number of squares and cubes in the range with the number of the required term i.e

Number of squares = 8 ( 4,9,16,25,36,49,64,81)

Number of cubes = 2 (8 and 27; excluding 64 which is as well a square)

Required term = 75

So, 8+2+75 = 85.

Hence, the 85th term counting from 2 ( i.e 86) is the 75th term.

Learn more about sequence here:

brainly.com/question/16614966

#SPJ1

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Does the construction demonstrate how to copy a segment correctly by hand?
Mumz [18]

Answer:

  • No, it does not, because the segments do not have the same length.

Explanation:

The segment AB is supposed to be copied.

The correct procedure is:

  1. Put the tip of the compass on the point A
  2. Open the compass till the point B
  3. Without changing the width of the compass, put the tip of the compass on point C.
  4. Draw an arc from C.
  5. Draw a line from C until a point in the arc.
  6. Mark and label the point of intersection as D.
  7. Done.

Doing that, the length of the new segment CD equals the length of the segment AB.

5 0
3 years ago
Which of the following is correct?
Natali5045456 [20]
The secomd and third one
7 0
3 years ago
Read 2 more answers
Dan spend half of his allowance going to the movies.He washed the family car and earned eight dollars.What is his weekly allowan
Karolina [17]

Answer:

8 dollars

Step-by-step explanation:

if "x" is his weekly allowance:

x-0.5x+8=12

Dan make x dollars, then he spend 0.5x dollars and he earned 8 dollars, and that is 12 dollars.

0.5x=12-8

x=8 dollars

4 0
3 years ago
A number has an absolute value equal to 17 over 8 what is the number?
iVinArrow [24]
There are two possibilities.  It could be  +2.125 , and it could be  -2.125 .
7 0
3 years ago
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of s
Elenna [48]

I will rewrite the question for better understanding:

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?

Answer:

  • <em><u>5.3 hours</u></em>

Explanation:

<u>1) Time it takes Ashley to preprate one bag: </u>

  • 2/3 min

<u>2) Time it takes each friend of Ashley: 75% more than 2/3 min</u>

  • 75% × 2/3 min = 0.75 × 2/3 min = 3/4 × 2/3 min= 2/4 min = 1/2 min = 0.5 min
  • 2/3 min + 1/2 min = 7/6 min

<u>3) Time it takes Ashley and the 4 friends working along to prepare one bag:</u>

  • Convert each time into a rate, since you can set that the total rate of Ashley along with her four friends is equal to the sum of each rate:

  • Rate of Ashley: 1 bag / (2/3) min = 3/2 bag/min

  • Rate of each friend: 1 bag / (7/6) min = 6/7 bag/min

  • Rate of Ashley and 4 friends = 3/2 bag/min + 4 × 6/7 bag/min = (3/2 +24/7) bag/min = 69/14 bag/min

<u>4) Time of prepare 1575 bags of samples:</u>

  • time = number of bags / number of bags per min = 1,575 bags / (69/14) bags/min = 319.56 min

<u>5) Convert minutes to hours:</u>

  • 356.56 min × 1 hour / 60 min = 5.3 hours
3 0
3 years ago
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