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Scilla [17]
4 years ago
5

Simplify the expression (3x^4/2y^3)^2

Mathematics
1 answer:
Alex_Xolod [135]4 years ago
8 0
Simplify the following:
((3 x^4 y^3)/2)^2
Multiply each exponent in (3 x^4 y^3)/2 by 2:
(3^2 x^(2×4) y^(2×3))/(2^2)
2×4 = 8:
(3^2 x^8 y^(2×3))/2^2
2×3 = 6:
(3^2 x^8 y^6)/2^2
2^2 = 4:
(3^2 x^8 y^6)/4
3^2 = 9:
Answer: (9 x^8 y^6)/4
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What is the quotient of 3227/555? What is the repetend?
slega [8]

Answer:

A repeating or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero. It can be shown that a number is rational if and only if its decimal representation is repeating or terminating (i.e. all except finitely many digits are zero). For example, the decimal representation of

1

/

3

becomes periodic just after the decimal point, repeating the single digit "3" forever, i.e. 0.333.... A more complicated example is

3227

/

555

, whose decimal becomes periodic at the second digit following the decimal point and then repeats the sequence "144" forever, i.e. 5.8144144144.... At present, there is no single universally accepted notation or phrasing for repeating decimals.

The infinitely repeated digit sequence is called the repetend or reptend. If the repetend is a zero, this decimal representation is called a terminating decimal rather than a repeating decimal, since the zeros can be omitted and the decimal terminates before these zeros.[1] Every terminating decimal representation can be written as a decimal fraction, a fraction whose divisor is a power of 10 (e.g. 1.585 =

1585

/

1000

); it may also be written as a ratio of the form

k

/

2n5m

(e.g. 1.585 =

317

/

2352

). However, every number with a terminating decimal representation also trivially has a second, alternative representation as a repeating decimal whose repetend is the digit 9. This is obtained by decreasing the final (rightmost) non-zero digit by one and appending a repetend of 9. 1.000... = 0.999... and 1.585000... = 1.584999... are two examples of this. (This type of repeating decimal can be obtained by long division if one uses a modified form of the usual division algorithm.[2])

Step-by-step explanation:

4 0
3 years ago
Acute angle between the hours hand and the minute hand at 1pm​
Bess [88]

Answer: 30 degrees

Step-by-step explanation:

1 hour = 60 min = 360 degree

1 min = 360/60 degree

1 min = 6 degree

and the gap of hour hand and minute hand at 1pm, is of 5 min

therefore acute angle formed is 5 X 6 = 30 degrees.

:-)

7 0
3 years ago
Read 2 more answers
6 + x/3 = 1 <br> Step by Step explanation on how to solve this problem.
professor190 [17]

Answer:

x = -15

Step-by-step explanation:

6 + (x/3) = 1   (subtract 6 from both sides)

(x/3) = 1 - 6

x/3 = -5  (multiply both sides by 3)

x = -5 (3)

x = -15

5 0
3 years ago
Read 2 more answers
The two-way frequency table below shows data on mindset and attendance at practice for students in Mateus's study.
andrezito [222]

Answer:

<u><em>Relative frequencies</em></u>

                  Growth mind set                 fixed mind set             Total

Attendance

every practice              0.7                            0.3                      1

missed at-least

one practice                  0.1344                     0.8656                  1                              

<u>Step-by-step explanation:</u>

                         Growth mind set                 fixed mind set                   total

Attendance

every practice              28                           12                                         40

missed at-least

one practice                  9                              58                                      67

<u><em>Relative frequencies</em></u>

                  Growth mind set                 fixed mind set                   Total

Attendance

every practice              \frac{28}{40} = 0.7                  \frac{12}{40} = 0.3                          1

missed at-least

one practice                  \frac{9}{67} = 0.1344               \frac{58}{67} = 0.8656                  1                              

<u><em>Final answer</em></u>:-

<u><em>Relative frequencies</em></u>

                  Growth mind set                 fixed mind set             Total

Attendance

every practice              0.7                            0.3                      1

missed at-least

one practice                  0.1344                     0.8656                  1  

5 0
3 years ago
Carmen can type 18 words in 27 seconds. How many words can she type in 60 seconds?
denis-greek [22]

Answer:

40words

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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