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umka2103 [35]
3 years ago
9

An unmanned ocean vehicle named Nereus traveled 35,768 feet below the surface of the ocean. Another vehicle traveled 17,652 feet

below the surface.
About how much farther below the ocean’s surface did Nereus travel than the other vehicle?

Round each number to the nearest thousand.


17000 ft


18,100 ft


20,100 ft


18,000 ft
Mathematics
2 answers:
xxTIMURxx [149]3 years ago
6 0

your answer would be 18,100.

35,768-17,652= 18,116

and you have to round so you get

18,100

mariarad [96]3 years ago
4 0
It would be 18,100 because the when you minus 35,768 and 17,652 it would be 18,116. Then you round it would be

Answer- 18,100
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A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters
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Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

\Rightarrow y=\sqrt{x^2+100}

Differentiating with respect to t

\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}

\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}

Since the car driving towards the intersection at 13 m/s.

so,\frac{dx}{dt}=-13

\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)

Now

\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)

               =\frac{24\times (-13)}{\sqrt{676}}

               =\frac{24\times (-13)}{26}

               = -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

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