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andre [41]
3 years ago
5

A square has a triangular hole in it. What is the area of the figure?

Mathematics
1 answer:
Sonja [21]3 years ago
7 0
<h3>168 in 2 and then 132 in 2</h3>
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Does anybody know how to do time with exponential decay
My name is Ann [436]
<span>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.</span>
5 0
3 years ago
Can you guys help me? :-(
VMariaS [17]

Answer:

\frac{9}{10}

Step-by-step explanation:

Find the LCD because like last time, you cannot add or subtract fractions with different denominators.

LCD = 10

Since the second fractions stayed at the same denominator, you will only have to multiply the first fraction.

\frac{2 * 2}{5 * 2}

\frac{4}{10}

\frac{4 + 5}{10}

= \frac{9}{10}

5 0
3 years ago
Read 2 more answers
Log x - log x -1² = 2log(x-1)​
kap26 [50]

Answer:

Exact form

x= \sqrt{10/10 + 1

Decimal

x=1.31622776

Step-by-step explanation:

8 0
3 years ago
The difference between John and
ddd [48]

Answer:

$46,130,75 or $43,869.25

Step-by-step explanation:

8 0
3 years ago
Find the inverse of f(x)=4x+3
zhuklara [117]

f(x) = 4x+3\\\\\text{Write f(x) as y = 4x+3}\\\\\text{Replace x with y,}\\\\x =4y +3\\\\\text{Solve for y:}\\\\ \implies x =4y+3\\\\\implies 4y = x-3  \\\\\implies y =\dfrac{x-3}4\\\\\implies f^{-1} (x) = \dfrac{x-3}4\\\\\text{This is the inverse of f(x)}

4 0
2 years ago
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