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lakkis [162]
3 years ago
15

A submarine that is 7500 meters below sea level surfaces at a rate of 80 meters per minute. The

Mathematics
1 answer:
erica [24]3 years ago
7 0

Answer:

The range is -7500 to 0 meters

The domain is 0 to 93.75 minutes

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Among all right circular cones with a slant height of 24​, what are the dimensions​ (radius and​ height) that maximize the volum
aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2

Once this is defined, we proceed to define the volume of a cone,

v=\frac{1}{3}\pi r^2 h

Substituting,

v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)

\frac{dv}{dh} = 0 then \rightarrow \frac{1}{3}\pi(576-3h^2)=0

h_1=-8\sqrt{3}\\h_2=8\sqrt{3}

<em>We select the positiv value.</em>

We have then,

r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}

We can now calculate the maximum volume,

V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99

4 0
3 years ago
to make an apple pie, mimi needs 2 cups of flour and 3 cups of apples. how many cups of ingredients does mimi need to make 5 pie
Lady_Fox [76]
For one apple pie, Mimi needs 2 cups of flour and 3 cups of apples, which is 5 cups in all, in order to produce how many cups she would need to make five pies you simply times the number given, number of cups, by 5. So you times 2 by 5, which is 10 and 3 by 5, which is 15 and together that makes 25 cups, 10 cups of flour and 15 cups of apples. If you had three cups of flour and needed to make 20 pies, all you would do is times three by 20, which is 60. 

Hope I explained this correctly, if you need any more help, please ask. 
7 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (14, 5) and (20, –4)? A. -3/2 B. -2/3 C. 2/3 D. 3/2
Lynna [10]
The slope of the line that passes through the points (14/5) and (20, -4), so you take y-y/x-x so you substitute the y's in for 5 and -4 and x in for 14 and 20.

5--4/ 14-20
9/-6
Then you make the fraction smaller! 
-3/2 = Answer <span />
6 0
3 years ago
Fine the percent 20% of 70 plants
Anuta_ua [19.1K]

Answer:

20 % of 70 is 14

plz mark brainiest


4 0
3 years ago
In a market economy, if the price of a good increases, the quantity demanded by consumers and the quantity supplied by producers
love history [14]

The correct answer is A hope this helps


3 0
3 years ago
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