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Brut [27]
4 years ago
13

Calculate the value of k=xy

Mathematics
1 answer:
Masteriza [31]4 years ago
3 0

Answer:

Since k is constant, we can find k given any point by multiplying the x-coordinate by the y-coordinate. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10. Thus, the equation describing this inverse variation is xy = 10 or y = .planation:

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The volume of a spherical balloon is increasing at a constant rate of 3 in3/s. At what rate is the radius of the balloon increas
Anna [14]

Answer:

0.0597in/s

Step-by-step explanation:

The volume of the spherical balloon V= 4/3πr³

r is the radius of the balloon

The rate at which the volume is changing dV/dt is expressed as;\

dV/dt = dV/dr*dr/dt

dV/dr = 3(4/3πr²)

dV/dr = 4πr²

dV/dr = 4π(2)²

dV/dr = 16π

dV/dt = 3 in³/s

Substitute inti the formula

3 = 16πdr/dt

dr/dt = 3/16π

dr/dt = 3/50.24

dr/dt = 0.0597in/s

Hence the balloon is increasing at the rate of 0.0597in/s

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Find the equation of the line that contains the point (1, 1) and is perpendicular to the line y = -1/4x + 4. Write the equation
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