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sertanlavr [38]
3 years ago
14

a triangle has two sides of lengths 5 and 12. What value could the length of the third side be? Check all that apply. Apex... PL

EASE HELP!!! WILL GIVE A *****BRAINLIEST****
Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0

Step-by-step explanation:

The length of any side of a triangle must be less than the sum of the other 2 sides of the triangle.

Let x be the length of the 3rd side. Then we have constraints 5 + 12 > x and 5 + x > 12.

This gives 17 > x and x > 7, hence the answer is 7 < Length of the 3rd side < 17.

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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

5 0
3 years ago
Will be mark trusted
Tanya [424]

<em><u>Answer:</u></em>

<h2><em><u>A is the answer.</u></em></h2>

Step-by-step explanation:

The commutative property changes the numbers in the equation they give. This is very different from identity, distibutive(needs parenthesis), or associative properties.

7 0
3 years ago
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what is the answer to this The sixth grade teachers ordered 54 bags of candy to be split among 12 students. How many bags of can
nadya68 [22]

Answer:

The answer is 4.5 and 9/2

Step-by-step explanation:

First

54 / 12 = 4.5

Then

Change it into a fraction

Write is fraction form 4.5 / 1

Multiply both numerator and denominator by 10 for every number after the decimal point

4.5 × 10

1 × 10

Which will equal 45/10

Then Reduce the fraction gives 9/2

3 0
3 years ago
PLZ HElPPPPPP MEEEEEEEEE !
Effectus [21]
The picture looks blurry
7 0
3 years ago
What's the answer? pls help
pishuonlain [190]

Answer:

The slope is 0

Step-by-step explanation:

The slope is the change of y over the change in x. Since y doesn't change at all, it's 0 over 3. 0/3 is just 0, so the slope is 0.

8 0
3 years ago
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