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nataly862011 [7]
3 years ago
9

A spherical balloon is inflated so that its volume is increasing at the rate of 3.1 {\rm ft}^3{\rm /min}. how rapidly is the dia

meter of the balloon increasing when the diameter is 1.6 feet?
Mathematics
1 answer:
liberstina [14]3 years ago
7 0
<span>The volume is represented by V = volume of sphere = (4/3) π r³ = (4/3) π (D/2)³ = π D³ / 6 dV / dt = (π D² / 2) dD/dt ft³/min dV/dt = 2.3 ft³/min πD²/2 dD/dt = 2.3 dD/dt = 4.6 / (πD²) ft/min Thus when D = 1.4 ft dD / dt = 4.6 / ( π 1.4² ) ft/min = 0.7471 ft/min</span>
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statuscvo [17]

Answer:

The parent function f(x) is equal to f\left(x\right)=\left|x\right|

The translations is 3 units to the left and 5 units down

Step-by-step explanation:

we have

h\left(x\right)=\left|x+3\right|-5

The vertex of the function h(x) is the point (-3,-5)

we know that the parent function f(x) is equal to

f\left(x\right)=\left|x\right|

The vertex of the function f(x) is the point (0,0)

so

The rule of the transformation of f(x) to h(x) is equal to

(x,y) -----> (x-3,y-5)

That means ----> The translations is 3 units to the left and 5 units down

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3 years ago
A jar contains five purple six yellow eight green and 5 orange jelly beans what is the probability of selecting a yellow jelly B
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Answer:

Step-by-step explanation:

First you have to add up everything and get the answer which is 24. Then you have to consider that there are 6 yellow jelly beans. So you would have to put it as a fraction. Which would be... 6/24 hope I helped

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Andrea was asked to find the value of –32 × 9 × 5/4 . How can Andrea make this problem easier to compute?
Volgvan

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Trava [24]

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y = 1/2 x²

Step-by-step explanation:

The coefficient of the first term in a quadratic, in our case here, x², will tell us how the graph stretches. This is akin to the slope within the linear graph. Similar to the slope, the smaller the coefficient value, or value of slope m, the shallower the angle.

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