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ANTONII [103]
3 years ago
12

After visiting the Titanic, Captain Ngoc and Commander Chris are taking the SSN-21 Seawolf submarine back to the surface of the

water. They start 2000 meters below the surface of the water and ascend at 55 meters per hour. A) Write an equation in slope-intercept form to model this situation where D is the distance under water and H is the time in hours. B) How many meters below the surface is the submarine after 6 hours?
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0

Answer:

D(h) = 55h - 2000

1670 m

Step-by-step explanation:

Given :

Starting elevation, D = - 2000 m (2000 m below sea level)

Rate, h = 55 m per hour.

The slope - intercept relation :

y = mx + c

m = slope = rate of change

c = intercept

In the scenario given :

-2000 = intercept

55 = rate of change

D(h) = 55h - 2000

After 6 hours :

D(6) = 55(6) - 2000

D(6) = - 1670 m

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nexus9112 [7]

Each number is mutliplied by 3 and then numbers 2,3,4,5,... are added successively.

2*3+2=8

8*3+3=27

27*3+4=85

85*3+5=260

260*3+6=786

So it's 786.

Btw, the general formula for this sequence is a_n=\dfrac{1}{12}(-6n+13\cdot3^n-9)

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4 years ago
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Hatshy [7]

Answer:

Step-by-step explanation:

Total amount of time that Joe has before going to soccer practice is 45 minutes. He spent 20 minutes eating a snack. This means that amount of time left after eating the snack is total amount of time that he has - the amount of time he spent on eating the snack. This becomes

45 - 20 = 25 minutes

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The equation to express how long Joe spent doing homework will be

Let x = amount of time spent doing home

x = total amount of time he had - amount of time he spent eating snack

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3 years ago
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Step-by-step explanation:

x-5y+3=3x-y+4

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15

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