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kramer
3 years ago
8

After visiting the Titanic, Captain Brain and Mr. Pinky are taking the Alvin submarine back to the surface of the water. They st

art 1500 meters below the surface of the water and ascend at 37 meters per hour.Note: under the water is a negative number.Write an equation to model this situation (use m for meters and h for hours)
Mathematics
1 answer:
ivanzaharov [21]3 years ago
8 0

Answer:

m=37h-1500.

Step-by-step explanation:

Let m represent meters and h represent hours.

We have been given that Captain Brain and Mr. Pinky start 1500 meters below the surface of the water and ascend at 37 meters per hour.

Since the submarine ascends at a rate of 37 meters per hour, so elevation of submarine after h hours would be 37h.

Since the elevation under water surface is negative, so 1500 meters below the surface of water would be -1500.    

The final elevation in meters of submarine after h hours would be initial elevation plus change in elevation after h hours that is m=37h-1500.

Therefore, the equation m=37h-1500. represents the given scenario.

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A tree that is 4 ft tall is growing at a rate of 1 ft each year a tree that is 12 feet tall is growing at a rate of 1/2 ft each
Andreyy89

Answer:

16 years

Step-by-step explanation:

Given data

For the first tree

let the expression for the height be

y=4+x--------------1

where y= the total height

          4= the initial height

          x= the number of years

For the second tree, the expression is

y=12+0.5x-------------2

Equate 1 and 2

4+x=12+0.5x

x-0.5x=12-4

0.5x= 8

x= 8/0.5

x=16

Hence it will take 16 years for both trees to have the same height

5 0
3 years ago
A local company manufactures netbook computers. Their profit function is given by this equation: y equal minus x to the power of
Westkost [7]
Answer by BlueSky06

The equation described above can also be written as,                    y = -x² + 100x + 4000To get the number of notebooks that will give them the maximum profit, we derive the equation and equate to zero.                  dy/dx = -2x + 100 = 0The value of x from the equation is 50. Then, we substitute 50 to the original equation to get the profit.                    y = -(50^2) + 100(50) + 4000 = 6500Thus, the maximum profit that the company makes is $6,500/day. 
Read more on Brainly.com - brainly.com/question/3586459#readmore
3 0
3 years ago
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Express as a fraction or mixed number 1.5%
Svetlanka [38]

Answer:

3/2 g.oogle if you want the explanation of your work.

4 0
3 years ago
What property of equality would you use to solve the equation n/4 = 16.
Triss [41]

Answer:

Multiplication Property of Equality.

Step-by-step explanation:

Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other.

Multiply 4 to both sides of the equation:

(n/4) * 4 = (16) * 4

n = 16 * 4

n = 64

n = 64 will be your answer.

~

3 0
3 years ago
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What is the value of a1 of the geometric series? Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 12 (negative o
worty [1.4K]

Answer:

12

Step-by-step explanation:

The given geometric series is

\sum_{n = 1}^{ \infty} 12( { -  \frac{1}{9} })^{n - 1}

We want to determine the first term of this geometric series.

Recall that the explicit formula is

a_{n} = 12( { -  \frac{1}{9} })^{n - 1}

To find the first term, we put n=1 to get:

a_{1} = 12( { -  \frac{1}{9} })^{1 - 1}

This gives us:

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a_{1} = 12(1) = 12

Therefore the first term is 12

6 0
3 years ago
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