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aleksandrvk [35]
1 year ago
5

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

Mathematics
1 answer:
Kay [80]1 year 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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How many fifths must be added to 6/10 to make a whole​
horrorfan [7]

Answer:

2/5

Step-by-step explanation:

10/10 = 1 Whole

You need 4/10 to get 1 whole

4/10 is equivalent to 2/5 because when you divide the numerator and denominator by 2 you the 2/5.

6 0
3 years ago
Please explain to me how to solve this problem and what would be the correct answer answer asap!!!
hodyreva [135]
Given
f(x)= -3x - 5
g(x)= 4x - 2

Find
(f - g)(x)
substitute the f and g values in (f - g)

(f - g)(x)= -3x - 5 - (4x - 2)
change the signs in parentheses because there is a negative sign in front of the parentheses

(f - g)(x)= -3x - 5 - 4x + 2
combine like terms

(f - g)(x)= -7x - 3


ANSWER: (f - g)(x)= -7x - 3

Hope this helps! :)
5 0
3 years ago
Zora has bag of potting
Xelga [282]

The question is missing the figure which is attached below.

Answer:

The last box that has dimensions 8 in × 8 in × 10 in

Step-by-step explanation:

Given:

Volume of the soil = 924 cubic inches.

There are four different types of boxes that need to be checked whether they can accommodate all of the soil or not.

The volume of the box must be at least 924 cubic inches to accommodate all of the soil.

Now, volume of the first box is given as:

V_1=l\times b\times h=20\times 5\times 10=1000\ in^3>924\ in^3

Volume of the second box is given as:

V_2=l\times b\times h=10\times 10\times 10=1000\ in^3>924\ in^3

Volume of the third box is given as:

V_3=l\times b\times h=10\times 20\times 6=1200\ in^3>924\ in^3

Volume of the fourth box is given as:

V_4=l\times b\times h=8\times 8\times 10=640\ in^3

Therefore, only the volume of the fourth box is less than the total volume of the soil. So, last box is the correct option.

6 0
3 years ago
A bike rental stand at the beach charges $5 to rent a bike in targit charges to every half hour it is rented if someone pays $17
denis23 [38]

Answer:

They would have the bike for 1.7 hours

Step-by-step explanation:

The bike is rented at a charge of $5 for every half an hour,this can be expressed as:

$5 per 0.5 hours, to calculate the time one will have the bike if they pay $17

The amount of paid=Standard Rate per 1/2 of an hour/Number of hours

where;

The amount paid=$17

Standard Rate per 1/2 an hour=$5/0.5

Number of hours

Replacing;

n=(17×0.5)/5=1.7 hours

5 0
3 years ago
fill in the empty spaces ANSWERS 1 21 -7 7 6 24 -1 .5 2.4(5h+10)-3=27 12h+__-3=27 12h+__=27 12h=__ h=__
dalvyx [7]

Answer:

h = 1/2

Step-by-step explanation:

Step 1: Write equation

2.4(5h + 10) - 3 = 27

Step 2: Distribute

12h + 24 - 3 = 27

Step 3: Combine like terms

12h + 21 = 27

Step 4: Subtract 21 on both sides

12h = 6

Step 5: Divide both sides by 12

h = 6/12

Step 6: Simplify

h = 1/2

4 0
3 years ago
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