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2 years ago

Can someone help me with this

Mathematics

1 answer:

elena-s [515]2 years ago

3 0

Answer:

3^14

Step-by-step explanation:

Taking a look at the question, try to break it down into these general steps:

1. Identify the base number. Are they the same? In this case, the base number is 3 so they are the same.

2. Recall the rules when multiplying exponents. In this case, multiplying exponents across will end up being 9+5.

3. Rewrite the equation as 3^(9+5). This should give you 3^14

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3 years ago

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra

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Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

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We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

$y=2$

According to Pythagoras

$hypotenuse^2=base^2+perpendicular^2$

$y^2=x^2+1^2$

$y^2=x^2+1$ .... (1)

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$2^2=x^2+1^2$

$4=x^2+1$

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Taking square root both sides.

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Differentiate equation (1) with respect to t.

$2y\frac{dy}{dt}=2x\frac{dx}{dt}+0$

Divide both sides by 2.

$y\frac{dy}{dt}=x\frac{dx}{dt}$

Put $x=\sqrt{3}$ , y=2, $\frac{dx}{dt}=430$ in the above equation.

$2\frac{dy}{dt}=\sqrt{3}(430)$

Divide both sides by 2.

$\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}$

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3 years ago

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Answer:

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Step-by-step explanation:

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