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Fantom [35]
3 years ago
11

Defined by distinct lines which intersect at right angles and at exactly one point.

Mathematics
1 answer:
Fantom [35]3 years ago
3 0

D

Is the correct answer welcome

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To solve a problem, we often _________ the given information into algebraic expressions and equations.
igomit [66]
I think the answer is we often insert the given information.


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3 years ago
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a child should no longer play in the kid zone area when they reach 4'4" tall joe is 54" tall is he allowed to play in the kid zo
Andreyy89

Answer: No.

Step-by-step explanation: Joe is 4'6" tall. Convert 54" to feet by dividing by 12. 54/12=4.5. Half of a foot is 6 inches.

6 0
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

5 0
3 years ago
Please help if you can Thank you
ratelena [41]
Wow what grade are you in that seems hella confusing!! I feel bad for you!
7 0
3 years ago
Find the slope to the line that contains (-3,-1) (-5,5)
Alex777 [14]

Answer:

m= -3

Step-by-step explanation:

5 0
2 years ago
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