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vredina [299]
3 years ago
6

Have a nice day be kind :)

Mathematics
1 answer:
IgorC [24]3 years ago
4 0

ok you too have a great day and be kind

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For f(x) = 0.02(2)^x find the average rate of change from x= 3 to x= 8
Fudgin [204]

None of the offered choices is correct.

f(3) = 0.02·2³ = 0.02·8 = 0.16

f(8) = 0.02·2⁸ = 0.02·256 = 5.12

Then the average rate of change is

... (f(8) - f(3))/(8 - 3) = (5.12 -0.16)/5 = 4.96/5 = 0.992

5 0
3 years ago
I need help with 34. if anyone can, please do so. Thank you !
andriy [413]
6 is the answer I believe
4 0
3 years ago
The Colosseum in Rome has a total volume of 47 million cubic feet. When it was in use, it was 180 feet tall. Suppose a scale mod
nevsk [136]

Answer:

56 ft

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A tap is filling a 10-liters tank at the speed of 5 liters per minute.
SVETLANKA909090 [29]

Answer:

<em />

  • <em>It takes</em><u>     2.5 minutes   </u><em>to fill the tank.</em>

Explanation:

The net speed or net rate for filling the 10-liters tank is equal to the speed the tap is filling less the speed the water is leaking through the hole located at the bottom of the tank:

  • Net rate = rate of filling - rate of leaking
  • Net rate = 5 liters/minute - 1 liter/minute
  • Net rate = 4 liters/minute

Thus, consiedering the tank is empty at the beginning, the time is:

  • Time = Volume of the tank / net rate of filling
  • Time = 10 liters / (4liters/minute)
  • Time = 2.5 minutes ← answer
4 0
3 years ago
The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm.
Nat2105 [25]

Answer:

A) Maximum error = 170.32 cm³

B)Relative error = 0.0575

Step-by-step explanation:

A) Formula for circumference is: C = 2πr

Differentiating with respect to r, we have;

dC/dr = 2π

r is small, so we can write;

ΔC/Δr = 2π

So, Δr = ΔC/2π

We are told that ΔC = 0.5.

Thus; Δr = 0.5/2π = 0.25/π

Now, formula for Volume of a sphere is;

V(r) = (4/3)πr³

Differentiating with respect to r, we have;

dV/dr = 4πr²

Again, r is small, so we can write;

ΔS/Δr = 4πr²

ΔV = 4πr² × Δr

Rewriting, we have;

ΔV = ((2πr)²/π) × Δr

Since C = 2πr, we now have;

ΔV = (C²/π)Δr

ΔV will be maximum when Δr is maximum

Thus, ΔV = (C²/π) × 0.25/π

C = 82 cm

Thus;

ΔV = (82²/π) × 0.25/π

ΔV = 170.32 cm³

B) Formula for relative error = ΔV/V

Relative error = 170.32/((4/3)πr³)

Relative error = 170.32/((4/3)C³/8π³)

Relative errror = 170.32/((4/3)82³/8π³)

Relative error = 170.32/2963.744

Relative error = 0.0575

3 0
2 years ago
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