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3 years ago

Find the absolute value. |-120

Mathematics

1 answer:

Scilla [17]3 years ago

5 0

Answer:

120

Step-by-step explanation:

The absolute value is 120. Think about it on a number line, the absolute value is the amount of spaces that -120 is away from 0. Therefore, the amount of spaces -120 is from 0, is 120.

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(20 Points) Perform the indicated operations.

JulijaS [17]

Answer:

5x-8/12y

Step-by-step explanation:

x+1

x−2

−(

x+3 /6y

30xy2−48y2

72y3

30x−48/72y

5x−8 /12y

7 0

4 years ago

Ln (x-2) +ln (2x-3)=2ln x

goblinko [34]

$D:x-2\ \textgreater \ 0 \wedge 2x-3\ \textgreater \ 0 \wedge x\ \textgreater \ 0\\
D:x\ \textgreater \ 2 \wedge x\ \textgreater \ \dfrac{3}{2}\wedge x\ \textgreater \ 0\\
D:x\ \textgreater \ 2\\\\
\ln (x-2) +\ln (2x-3)=2\ln x \\
\ln (x-2)(2x-3)=\ln x^2\\
(x-2)(2x-3)=x^2\\
2x^2-3x-4x+6=x^2\\
x^2-7x+6=0\\
x^2-x-6x+6=0\\
x(x-1)-6(x-1)=0\\
(x-6)(x-1)=0\\
x=6 \vee x=1\\
1\not \in D\\
\boxed{x=6}$

4 0

4 years ago

The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to

djyliett [7]

Answer:

5.5

Step-by-step explanation:

Given the set of data

5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

The average of the least and the greatest value is known as the midrange

The formula for calculating the midrange is expressed as shown:

Midrange = (Greatest value + Least value)/2

Given

Greatest value = 10

Least value = 1

Midrange = 10+1/2

Midrange = 11/2

Midrange = 5.5

Hence the midrange of the data is 5.5

8 0

3 years ago

Given the diagram below, find X. The diagram IS 40° x - 15° X = degrees.

Crank

Answer:

X=65°

Step-by-step explanation:

Both angles combined is a right angle as indicated by the small square drawn on it, a right angle is always 90° therefore

(x-15°)+40°=90°

combine like terms

x+25°=90°

subtract 25° from each side

x=65°

6 0

3 years ago

Graph the data below and then answer the questions that follow. year 1=$20,000, year 2=$21,750, year 3=$23,500, year 4=$25,250,

Mariana [72]

Answer:

Since the difference between the value for each year is constant, this is an arithmetic sequence.

Step-by-step explanation:

Year 2 - Year 1 = 21,750 - 20,000 = 1,750

Year 3 - Year 2 = 23,500 - 21,750 = 1,750

Year 4 - Year 3 = Year 5 - Year 4 = 1,750

3 0

3 years ago