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faust18 [17]
4 years ago
9

A spherical balloon is inflated with a gas at the rate of 500 cm3/min. How fast is the radius of the balloon increasing at the i

nstant the radius is 30 cm? A. 5/(36pi)cm/min
B. 2/(18pi)cm/min
C. 4/(9pi)cm/min
D. 7/(24pi)cm/min
Mathematics
1 answer:
Burka [1]4 years ago
7 0

The volume of the sphere is expressed in the formula V = 4/3 pi r^3. The rate of change of volume is determined by differentiating the formula: dV/dt = 4pi r^2 dr/dt. When we substitute 500 cm3/min as dV/dt and 30 cm as r. Then dr/dt is equal to 0.0442 cm/min
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Effectus [21]
Let's solve for a.
p
x
=
x
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−
4
x
2
+
a
Step 1: Flip the equation.
x
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−
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x
2
+
a
=
p
x
Step 2: Add -x^3 to both sides.
x
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p
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Step 3: Add 4x^2 to both sides.
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x
2
+
a
+
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−
x
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+
p
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a
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Answer:
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3 0
3 years ago
Which fraction is equivalent to 2/2
BigorU [14]

Answer:

5/5, 4/4, etc

Step-by-step explanation:

2/2 is a form of 1, so if the numerator and denominator are the same number, it will be equivalent to 2/2

3 0
3 years ago
Read 2 more answers
Select the correct answer. What is the justification for step 3 in the solution process?
Grace [21]

Answer:

Answer B

Step-by-step explanation:

Since you're <em>dividing</em> -0.3 by -2.5, you are using the division property of equality.

5 0
4 years ago
What is 204,902 is scientific notation? also 124,510 in scientific notation.
Nesterboy [21]
204 902.0

124 510.0

Move the decimal point to the left, until you have a number less than 10.

204 902 = 2.04902 × 10⁵

124 510 = 1.2451  × 10⁵
3 0
3 years ago
Read 2 more answers
PLEASE HELP!! i will give brainliest!
Svetllana [295]

21.

The angle has an opposite side of value 11 and an adjacent side of value x

We can then apply the formula tan 38° = opposite / adjacent

this gives us tan(38) = 11 / x

11/x = tan(38)

11 = x × tan(38)

x = 11 / tan(38)

x ≈ 14.1 (rounded to the nearest tenth)

And then we need to find the length of the hypotenuse, applying the theorem of Pythagoras. Let H be the hypotenuse, then :

H² = 14,1² + 11²

H² = 198,81 + 121

H = √(319,81)

H ≈ 17,9

Finally the area of the triangle will be (17,9 + 11) / 2 = 28,9 / 2 ≈ 14,45

You apply the same thing for 22 and 23

For 22 you use tan 55 = 15 / x

For 23 you use tan 23 = 7 / x

Good Luck !

3 0
2 years ago
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