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statuscvo [17]
3 years ago
6

Solve the equation. If there is not solution, write no solution. 4 times the absolute value of the quantity x plus one third end

of quantity equals 20
Mathematics
1 answer:
stich3 [128]3 years ago
6 0

Answer:

The two solutions to the equation are x = 14/3 or x = -16/3

Step-by-step explanation:

To find these values, go through the steps of solving an equation as if the absolute value symbol is just a parenthesis.

4|x + 1/3| = 20

|x + 1/3| = 5

Now that we have it down to just this, we know what is inside the absolute value symbol to be either +5 or -5. So we need to solve this twice using each option.

x + 1/3 = 5

x = 14/3

x - 1/3 = -5

x = -16/3

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Write the series using summation notation.<br><br> 4 + 8 + 12 + 16 + 20+ . . . + 80
zhannawk [14.2K]

Answer:

\sum ^{20} _{n \to \11} 4n

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

d is the common difference = 21-8 = 8-4 = 4

n is the number of terms

On substituting, Tn = 4+(n-1)4

Tn = 4+4n-4

Tn = 4n

The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

n = 80/4

n = 20

This shows that the total number of terms in the sequence is 20

According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;

4 + 8 + 12 + 16 + 20+ . . . + 80  = \sum ^{20} _{n \to \11} 4n

4 0
3 years ago
This is due today please solve 10^2 x 3^5 + 16
satela [25.4K]

Answer:

24316

Step-by-step explanation:

24316 is your answer. I really hope this helps. Stay hydrated fam.

3 0
2 years ago
Read 2 more answers
Please I will rate you with 5 stars just please help me with this problem
olchik [2.2K]

Answer:

D

Step-by-step explanation:

If we isolate the variable in each given compound inequality, we can quickly realize that D is correct.

16\geq 3x+4>1\\12\geq 3x>-3\\4\geq x>-1

x is less than or equal to four (solid point on 4 with line going left), but greater than -1 (open point going right).

Signs with 'or equal to' have solid points, and signs without are not solid.

I hope this helps!

8 0
3 years ago
9) True or False: Great Britain officially recognized the Confederate States of America
SpyIntel [72]

It legally recognised the belligerent status of the Confederate States of America (CSA) but never recognised it as a nation and neither signed a treaty with it nor ever exchanged ambassadors.

And i could tell that its not math... :)

Its False

6 0
3 years ago
Mary's job is to package kleenex boxes to ship out to sell at stores. the company
swat32

Volume is a three-dimensional scalar quantity. The number of kleenex boxes that can fit in the large box is 4096.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the larger box have a length of the side as 4 feet. Also, the kleenex box is a cube with side lengths of 3 inches. Therefore, the number of cubes that will fit is,

Number of boxes = Volume of Larger box / Volume of kleenex box

Number of box = (4 feet)³ / (3 inches)³

Number of box = (48 inches)³ / (3 inches)³

Number of box = 4096

Hence, the number of kleenex boxes that can fit in the large box is 4096.

Learn more about Volume:

brainly.com/question/13338592

#SPJ1

4 0
2 years ago
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