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2 years ago

Simplify

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Mathematics

1 answer:

Dmitry_Shevchenko [17]2 years ago

5 0

Answer:

$i3 \sqrt{8}$

Step-by-step explanation:

$\sqrt{ - 72} \\ \sqrt{ - 1} \times \sqrt{72} \\ \sqrt{ - 1} \times \sqrt{9} \times \sqrt{8} \\ i3 \sqrt{8}$

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Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of

ioda

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that $A(24) = (1-0.26)A(0) = 0.74A(0)$ ; We use this to find r.

$A(t) = A(0)(1-r)^t$

$0.74A(0) = A(0)(1-r)^{24}$

$(1-r)^{24} = 0.74$

$\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}$

$1 - r = (0.74)^{\frac{1}{24}}$

$1 - r = 0.9875$

$r = 1 - 0.9875 = 0.0125$

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that $A(0) = 810$

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 810(1 - 0.26)^t$

$A(t) = 810(0.74)^t$

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

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2 years ago

The sun is about 93Xthe sixth power of 10 (10*6) miles from earth. what is this distance written as a whole number?

SSSSS [86.1K]

Sixth power of 10 (10^6) equals 10 with five extra zeros (1000000), which is nothing else but million. If you multiply it by 93, you will get the answer - the Sun is approx. 93000000 miles from Earth.

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2 years ago

PLEASE HELP!!!!!!!!

marshall27 [118]

Answer:

Step-by-step explanation:

I took the quiz :)

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2 years ago

How could I write the fractions 8/100 3/5 and 7/10 from least to greatest?

iVinArrow [24]

Get them to have a common denominator. 100 is the common denominator, so change 7/10 and 3/5 to have a denominator of 100. 7/10=70/100 and 3/5=60/100. So from least to greatest it will go 8/100, 3/5, 7/10.

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Ian picked up six teen red cars and 12 black cars from the floor of his room he put the same number of each color cars into two

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16 red cars and 12 black cars. He put half of each colour in each box. Therefore he would put 8 red and 6 black in each box. 8 red + 6 black is 14. Therefore he would have 14 cars in each box.

14.

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