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nasty-shy [4]
2 years ago
14

Which of the following is equivalent to (16 3/2)^1/2 ? O 6 O 8 O 12 O 64

Mathematics
1 answer:
Galina-37 [17]2 years ago
6 0

Step-by-step explanation:

=  { ({16}^{ \frac{3}{2} } )}^{ \frac{1}{2} }

=  { ({( {2}^{4}) }^{ \frac{3}{2} } )}^{ \frac{1}{2} }

=  {2}^{4 \times  \frac{3}{2} \times  \frac{1}{2}  }

=  {2}^{ \frac{12}{4} }

=  {2}^{3}

= 2 \times 2 \times 2

= 8

The answer is B.

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In 1980, the average monthly rate for basic able TV in the United States was
poizon [28]

The average rate of change in the monthly rate per year is -$0.056 i.e decreases by 0.056 every consecutive year.

Step-by-step explanation:

Step 1; The initial value is $7.69 in 1980 and the final value is $6.13 in 2008.

Difference in values = Final value - initial value = $6.13- $7.69 = -$1.56 (the negative symbol indicates that the cost has gone down with time)

Period between the values =Final year - initial year = 2008 - 1980 = 28 years.

Step 2; To find the rate of change per year, we divide the difference in values in that given period of time by the number of years in that period.

Rate of change per year = Difference in values in that period/ no of years.

                                          = -$1.56 / 28 = -$0.056 (the negative symbol indicates that the cost has gone down with time)

So for every year between 1980 and 2008, the price of the monthly rate for basic able TV reduced by $0.056.

6 0
3 years ago
Let E = {(x, y) e R2|xy > 0}. Determine whether E is a subspace of R2 . X3
gayaneshka [121]

Answer:

E is not a subspace of \mathbb{R}^2

Step-by-step explanation:

E is not a subspace of  \mathbb{R}^2

In order to see this, we must find two points (a,b), (c,d) in  E such that (a,b) + (c,d) is not in E.

Consider

(a,b) = (1,1)

(c,d) = (-1,-1)

It is easy to see that both (a,b) and (c,d) are in E since 1*1>0 and (1-)*(-1)>0.  

But (a,b) + (c,d) = (1-1, 1-1) = (0,0)

and (0,0) is not in E.

By the way, it can be proved that in any vector space all sub spaces must have the vector zero.

5 0
3 years ago
Handles-n-Things is a small enterprise company buying new carpet for their office room. The room is 15 ft. wide and 24 ft. long.
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Hey there!

To find the area, we multiply the length by the width! The carpet will cover the area of the room.

24×15=360

But, the carpeting is sold in square yards, not feet. There are three feet in a yard, which means that one yard is 1/3 feet. Since we have 360 square feet, we will divide it by three to get yards.

360/3=120

Therefore, the office would need 120 square yards of carpeting.

Have a wonderful day!

4 0
3 years ago
there are 435 representatives in the U.S house of representatives. Approximately 12.2% of the representatives are from Californi
tankabanditka [31]
435(12.2/100)

5307/100

53.07 :P  people are integers so about 53 representatives are from California  (Precisely why we have a Senate with two from each state LOL)
4 0
2 years ago
In ΔABC, c = 5.4, a = 3.3, and . What are the possible approximate lengths of b? Use the law of sines to find the answer. 2.0 un
Aloiza [94]

Correct answer is C) 2.3 units and 7.8 units

5 0
3 years ago
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