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2 years ago

9

If the volume of the expanding cube is increasing at the rate 24 cm3 / min , how fast is its surface area increasing when the su

rface area is 216 cm2 ?

1 answer:

Georgia [21]2 years ago

7 0

Answer:

16 cm^2/min

Step-by-step explanation:

dV/dt=24

V=a^3, differentiate with respect to t

dV/dt=3a^2*da/dt, a^2*da/dt=8

S=6a^2, 216=6a^2. a=6. da/dt=(8/36)

dS/dt=12*a*da/dt=12*(8/6)=16 cm^2/min

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Answer:

7 6/7

Step-by-step explanation:

$2\frac{1}{7}$ × $3\frac{2}{3}$ =

$\frac{15}{7}$ × $\frac{11}{3}$ =

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1 year ago

Which relation is a function?

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1 year ago

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How many solutions does the equation −3x−17=−17−3x have?

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Answer:

an infinite number of solutions

Step-by-step explanation:

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2 years ago

In parallelogram WXYZ, what is CY?<br> 11 ft<br> 15 ft<br> 21 ft<br> 23 ft

erastovalidia [21]

Answer:

15 ft

Step-by-step explanation:

In a parallelogram the diagonals bisects each other

So WC= CY

$x+4=2x-7$ solve the equation for x

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$x-x+4=2x-x-7$

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Now we add 7 on both sides

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2 years ago

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Juli2301 [7.4K]

Answer:

$-6$ meters.

Step-by-step explanation:

We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.

We are also given a table of data as:

Time (minutes) Altitude (meters)

6 -20.4

9 -27.6

12 -34.8

First of all, we will find Mr. Mole's digging rate using slope formula and given information as:

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$m=\frac{-27.6-(-20.4)}{9-6}$

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$m=\frac{-7.2}{3}$

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Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.

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Upon substituting $m=-2.4$ and coordinates of point $(6,-20.4)$ , we will get:

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2 years ago

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