Write an equation of the line below.

What are the properties of an isosceles triangle?

jolli1 [7]

An isosceles triangle has two equal sides and one unique side
Hope this helps!
- Z

4 0

3 years ago

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Does anybody know how to do time with exponential decay

My name is Ann [436]

From the message you sent me:

when you breathe normally, about 12 % of the air of your lungs is replaced with each breath. how much of the original 500 ml remains after 50 breaths

If you think of number of breaths that you take as a time measurement, you can model the amount of air from the first breath you take left in your lungs with the recursive function

$b_n=0.12\times b_{n-1}$

Why does this work? Initially, you start with 500 mL of air that you breathe in, so $b_1=500\text{ mL}$ . After the second breath, you have 12% of the original air left in your lungs, or $b_2=0.12\timesb_1=0.12\times500=60\text{ mL}$ . After the third breath, you have $b_3=0.12\timesb_2=0.12\times60=7.2\text{ mL}$ , and so on.

You can find the amount of original air left in your lungs after $n$ breaths by solving for $b_n$ explicitly. This isn't too hard:

$b_n=0.12b_{n-1}=0.12(0.12b_{n-2})=0.12^2b_{n-2}=0.12(0.12b_{n-3})=0.12^3b_{n-3}=\cdots$

and so on. The pattern is such that you arrive at

$b_n=0.12^{n-1}b_1$

and so the amount of air remaining after $50$ breaths is

$b_{50}=0.12^{50-1}b_1=0.12^{49}\times500\approx3.7918\times10^{-43}$

which is a very small number close to zero.

5 0

3 years ago

Please help i beg plsssssssssz

Minchanka [31]

Answer:

5/2=20/8=35/14=125/50

4 0

3 years ago

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Quinzel earns $1254 each month. His total deductions are 20% of his pay. How much is deducted from his pay each month ?

vova2212 [387]

20% = 0.20

1254 x 0.20 = 250.80

so he has $250.80 deducted every month

7 0

3 years ago

Working independently, Tina can do a certain job in 12 hours. Working independently, Ann can do the same job in 9 hours. If Tina

Leona [35]

Answer:

Ann would need 3 h to complete the remainder of the Job.

Step-by-step explanation:

Step 1.

The "speed" that each girl has to do the work is determined as:

Tina: $\frac{1}{12h}$ , it means that Tina complete one twelveth of the job each hour.
Ann: $\frac{1}{8h}$ , it means the Ann completes one eighth of the job each hour.

Step 2.

The amount of work done by Tina in 9 hours, is obtain multiplying by the "speed" calculated in step 1:

Amount of work done= $8 h*\frac{1}{12h} = \frac{2}{3}$ . It means that Tina completes two thirds of the work in 9 h.

Step 3.

The remaining job is calculated as $1-\frac{2}{3}=\frac{1}{3}$ . It means that still remains is one third of the job to be completed.

Step 4.

The time required for Ann to complete the job is calculated dividing the remaining of the job by the "speed" of Ann to do the job.

$\frac{\frac{1}{3}}{\frac{1}{9h}}=3h$ . It means that Ann would complete the job in another 3 hours.

3 0

3 years ago