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Leya [2.2K]
2 years ago
15

I need help with this is pretty easy pls help me

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
4 0

Answer:

if its so easy do it yourself, btw thank you for showing me who you are now im telling ms german

Step-by-step explanation:

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An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak
gregori [183]

Answer:

17.9  m/s

Step-by-step explanation:

Volume of the slick =  0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

           h = thickness of slick, 10⁻⁶m

If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V  =  0.5 x π r² h

0.5=  0.5 x  π x  r² x 10⁻⁶

r²   =  10⁶/ π

r =     10³/√π

dV/dt =   πrh dr/dt  + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt =   πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

r=  10³/√π

dr/dt= rate of expansion of the slick

Substituting  into (3);

0.1 =  π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1  x 10⁶/ ( π x 10³/√π)

       =  17.9479 m/s

       ≅  17.9  m/s

8 0
3 years ago
Click the picture that I sent you
Digiron [165]

Answer: 1211.6585 years

<u>Step-by-step explanation:</u>

The equation for exponential growth is: P=P_oe^{kt}

  • P: final population
  • P₀: initial population
  • k: rate of decay (or growth)
  • t: time

Use the half life information to find k:

\dfrac{1}{2}P_o=P_oe^{k(800)}\\\\\\\dfrac{1}{2}=e^{800k}\qquad \rightarrow \qquad \text{divided both sides by}\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=800k\qquad \rightarrow \qquad \text{applied ln to both sides}\\\\\\\dfrac{ln(\frac{1}{2})}{800}=k\qquad \rightarrow \qquad \text{divided both sides by 800}\\\\\\\large\boxed{-0.000867=k}

Next, input the information (65% decayed = 35% remaining) and the k-value to find your answer.

.35P_o=P_oe^{-0.000867t}\\\\\\.35=e^{-0.000867t}\\\\\\ln(.35)=-0.000867t\\\\\\\dfrac{ln(.35)}{-0.000867}=t\\\\\\\large\boxed{1211.6585=t}

5 0
3 years ago
A one year member ship to your local gym costs $539. there is an initial fee of $35. write an equation tou can use to fund out h
stich3 [128]
$539 - $35 = $504

$504 : 12 = $42

Per month you pay $42.
4 0
2 years ago
Solve the equation x2 + x = 12.
Otrada [13]

please give brainliest

Let's solve your equation step-by-step.

x2+x=12

Step 1: Subtract 12 from both sides.

x2+x−12=12−12

x2+x−12=0

Step 2: Factor left side of equation.

(x−3)(x+4)=0

Step 3: Set factors equal to 0.

x−3=0 or x+4=0

x=3 or x=−4

Answer:

x=3 or x=−4

3 0
2 years ago
Read 2 more answers
What is the solution for f(n)=1.25n+6.25; 25???<br> Please answer this quickly
gogolik [260]
It would be f= 1.25n+6.25/n
                

8 0
3 years ago
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