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Naya [18.7K]
2 years ago
9

Simplify this equation

Mathematics
2 answers:
Dmitry_Shevchenko [17]2 years ago
7 0
100^2/3
=³√1000^2
=³√1000000
Cube root the answer
³√1000000
=100. As a result, B is the correct answer. Hope it help!
Svetradugi [14.3K]2 years ago
5 0
1000^{ \frac{2}{3} }=( \sqrt[3]{1000} )^2=( \sqrt[3]{10^3} )^2=10^2=100
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Factor over the complex numbers, if possible: x2 + 16
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Answer:

(x-4)(x+4)

Step-by-step explanation:

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What are the domain and range of g(x)= √x-3?
Vera_Pavlovna [14]

Answer:

I guess, A is the wanted answer, but

A and D together are the really correct answer.

Step-by-step explanation:

if I understand this correctly, then

g(x) = sqrt(x - 3)

the domain of a function is the definition of all valid x (input) values.

the range of a function is the definition of all valid y (result) values.

well, the content (the arguments) of a square root cannot be negative (at least not while dealing with real numbers).

so, the answer options B and D are automatically out, because the domain contains values that would make the arguments of the square root negative.

I guess your teacher wants to focus only on the positive results of the square root, so A is the correct number.

BUT formally, without designated restrictions, a square root has always 2 solutions : a positive and a negative one.

because (-x)² = (x)² = x².

so, I would have to say that the really correct answer is

A + D, because the range contains both, the positive and the negative numbers.

5 0
1 year ago
What is the mean "6 5 6 1 5 5 0"
yulyashka [42]

Answer:

the mean is 4

Step-by-step explanation:

add 6+5+6+1+5+5+0=28

then divide 28 by how many numbers there are so it would be 7 numbers

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4 0
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Linda thinks of three integers. Added two at a time their sums are 80, 93, 87. What are the integers?
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Step-by-step explanation:

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2 years ago
adiocarbon dating of blackened grains from the site of ancient Jericho provides a date of 1315 BC ± 13 years for the fall of the
Zigmanuir [339]

Answer:

\left(\frac{m(t)}{m_{o}} \right)_{min} \approx 0.659 and \left(\frac{m(t)}{m_{o}} \right)_{max} \approx 0.661

Step-by-step explanation:

The equation of the isotope decay is:

\frac{m(t)}{m_{o}} = e^{-\frac{t}{\tau} }

14-Carbon has a half-life of 5568 years, the time constant of the isotope is:

\tau = \frac{5568\,years}{\ln 2}

\tau \approx 8032.926\,years

The decay time is:

t = 1315\,years + 2007\,years \pm 13\,years (There is no a year 0 in chronology).

t = 3335 \pm 13\,years

Lastly, the relative amount is estimated by direct substitution:

\frac{m(t)}{m_{o}} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{\mp\frac{13\,years}{8032.926\,years} }

\left(\frac{m(t)}{m_{o}} \right)_{min} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{-\frac{13\,years}{8032.926\,years} }

\left(\frac{m(t)}{m_{o}} \right)_{min} \approx 0.659

\left(\frac{m(t)}{m_{o}} \right)_{max} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{\frac{13\,years}{8032.926\,years} }

\left(\frac{m(t)}{m_{o}} \right)_{max} \approx 0.661

4 0
2 years ago
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