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Dmitry_Shevchenko [17]
3 years ago
14

1. 3x÷x³= ___ 2. (2x)³×(3x)²=____ 3. (x²)¹/³÷(x¹/³)³=___​

Mathematics
1 answer:
m_a_m_a [10]3 years ago
4 0

Answer:

3/x^2 or 3x^-2

54x^5

x^-1/3

Step-by-step explanation:

2 6x^3×9x^2=54x^3+2=54x^5

3 x^2/3 × x^-1=x^-1/3

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Step-by-step explanation:

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3 years ago
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A large on-demand video streaming company is designing a large-scale survey to determine the mean amount of time corporate execu
Diano4ka-milaya [45]

Answer:

n=(\frac{2.262(3)}{0.25})^2 =736.79 \approx 737

So the answer for this case would be n=737 rounded up to the nearest integer

Step-by-step explanation:

We have the following info given:

\bar X = 12 the sample mean

s = 3 the sample deviation

n = 10 represent the sample size

The degrees of freedom are given by:

df =n-1 =10-1=9

The margin of error is given by this formula:

ME=t_{\alpha/2}\frac{s}{\sqrt{n}}    (a)

And on this case we have that ME =0.25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{t_{\alpha/2} s}{ME})^2   (5)

The confidence level is 95% and the critical value for this case would be given by t_{\alpha/2}=2.262, replacing into formula (5) we got:

n=(\frac{2.262(3)}{0.25})^2 =736.79 \approx 737

So the answer for this case would be n=737 rounded up to the nearest integer

7 0
3 years ago
Use the three steps to solve the problem.
Mazyrski [523]
Let's assume a the age of Joe
b the age of James
a=b+10 (1)
2*(a+8)=3(b+8) (2)

==> 2*(b+10+8)=3b+24
==>2b+36=3b+24
==>b=12
==>a=12+10=22
Joe is 22 years's old
James is 12 years's old.



5 0
3 years ago
One-half of the sum of a number and nine
Vlada [557]

Answer:

x/2 + 9

Step-by-step explanation:

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5 0
3 years ago
Give a proper fraction whose denominator and denominator add up to 10
saveliy_v [14]

9514 1404 393

Answer:

  1/9, 2/8, 3/7, 4/6

Step-by-step explanation:

The fraction will be proper when the numerator is less than the denominator. That means numerators can be less than 10/2 = 5. The fractions that satisfy the requirement are ...

  1/9, 2/8, 3/7, 4/6

Those with even numerators can be reduced. So the reduced fractions are ...

  1/9, 3/7

6 0
3 years ago
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