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vlada-n [284]
3 years ago
6

PLEASE HELP I WILL GIVE 50 POINTS!

Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0

Answer:

Domain: x is all real numbers

Range: y is less than or equal to 5

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Simplify 3^8 ÷ 3^2 <br> A. 3^4<br> B. 3^10<br> C. 3^6<br> D. 3^6
olga_2 [115]

Answer: 3^6 so D or C

Step-by-step explanation:

When dividing two squares, you minus the number

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Using SET NOTATION, what is the solution set for the following equation? a² - 3 = 22
mixas84 [53]

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a = 5 or  a = -5

Step-by-step explanation:

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The equation that models the current water temperature t of the swimming pool is t -6=78 which best describes the error made whe
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Answer:

The same number was not added to both sides.

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The same number was not added to both sides.

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3 years ago
9. Determine how long it takes for 80% of the material to decay.
Vilka [71]

Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.

The amount of a substance after t days is modeled by:

A(t) = A(0)e^{-kt}

In which:

  • k is the decay rate, as a decimal.
  • A(0) is the initial amount.

The half-life is of 8 days, hence A(8) = 0.5A(0), and this is used to find k.

A(t) = A(0)e^{-kt}

0.5A(0) = A(0)e^{-8k}

e^{-8k} = 0.5

\ln{e^{-8k}} = \ln{0.5}

-8k = \ln{0.5}

k = -\frac{\ln{0.5}}{8}

k = 0.08664339757

Hence:

A(t) = A(0)e^{-0.08664339757t}

The time it takes for 80% of the material to decay it t for which A(t) = 0.2A(0), hence:

0.2A(0) = A(0)e^{-0.08664339757t}

e^{-0.08664339757t} = 0.2

\ln{e^{-0.08664339757t}} = \ln{0.2}

-0.08664339757t = \ln{0.2}

t = -\frac{\ln{0.2}}{0.08664339757}

t = 18.6

It takes 18.6 days for 80% of the material to decay.

To learn more about exponential functions, you can take a look at brainly.com/question/24906920

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3 years ago
In construction, the precision used to build a structure directly influences the strength of the structure. In the Rocky Mountai
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An appropriate measure for ∠CDE would be

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<h3>How to check for the appropriate measure of CDE.</h3>

we have the following angles as parallel BC¯, DE¯, and FG¯ also  CD¯, EF¯, and GH¯.

The angles that we have to check in order to measure would be

∠ABC, ∠AEG, ∠ADC, ∠AHG, ∠ADE, ∠AFE, ∠AHG.

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brainly.com/question/25215131

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