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IRISSAK [1]
3 years ago
13

The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km) above sea level,

Mathematics
1 answer:
allsm [11]3 years ago
7 0

Answer:

253 mmHg

Step-by-step explanation:

Since the atmospheric pressure, P(a) = 760e^{-0.13a}

when a = height (in km) = 8.47 km, then the atmospheric pressure P(a) is

P(a) = 760e^{-0.13a}\\P(8.47) = 760e^{-0.13X8.47}\\P(8.47) = 760e^{-1.1011} \\P(8.47 )= 760 X 0.33251 \\P(8.47)= 252.7 mmHg\\

P(8.47) ≅ 253 mmHg

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Leon is using the recipe shown.
stira [4]

He will use 11 and half cups of olive oil to use with 1 teaspoon of cinnamon.

Step-by-step explanation:

Given,

Olive oil used in recipe = 23 cups

Cinnamon used in recipe = 2 teaspoons

Ratio of cinnamon to olive oil in recipe = 2:23

Cinnamon Leon has = 1 teaspoon

Let x be the olive oil.

Ratio of available cinnamon to olive oil = 1:x

Using proportion;

Ratio of cinnamon to olive oil in recipe :: Ratio of available cinnamon to olive oil

2:23::1:x

Product of extreme = Product of mean

2*x=23*1\\2x=23

Dividing both sides by 2;

\frac{2x}{2}=\frac{23}{2}\\x=11.5

11.5 can also be written as 11\frac{1}{2}

He will use 11 and half cups of olive oil to use with 1 teaspoon of cinnamon.

Keywords: ratio, proportion

Learn more about ratios at:

  • brainly.com/question/6541303
  • brainly.com/question/6530759

#LearnwithBrainly

3 0
3 years ago
What is the sum of 3/7, 4/5, and 2/3 round to two decimal places?​
Anna11 [10]

Answer:

1.90

Step-by-step explanation:

You would want to use a calculator since you need decimal places.

Once you type it into the calculator you should get 1.8952380952.

Since you're trying to simplify to the second decimal place, look at the third number after the decimal.

The 5 rounds up the 9 to a ten, which is represented by the 0.

That then turns the 8 into a nine.

3 0
4 years ago
Which expression is equivalent to g−m ÷ gn?  g−m + n<br> g−m ⋅ n <br> g−m − n<br> g−m ÷ n
Sauron [17]
<h2>Answer:</h2>

The expression that is equivalent to the given expression is:

                       g^{-m-n}

<h2>Step-by-step explanation:</h2>

Two expression are said to be equivalent if by some simplification i.e. by some multiplication or division it could be represented in the same manner.

Here we are given a expression as:

                    g^{-m} ÷ g^n i.e.

             \dfrac{g^{-m}}{g^n}

We know that:

\dfrac{a^m}{a^n}=a^{m-n}

                 Hence, we get:

\dfrac{g^{-m}}{g^n}=g^{-m-n}

4 0
3 years ago
Read 2 more answers
30.54
leonid [27]
<h3>Answer: Choice 2)  sin(B) = cos(90-B)</h3>

Explanation:

The rule is that

sin(A) = cos(B)

if and only if A+B = 90.

Solving for A gets A = 90-B

So we end up with

sin(90-B) = cos(B)

which is the same as

cos(B) = sin(90-B)

5 0
4 years ago
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