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3 years ago

14

Hellpppppp i need help

1 answer:

musickatia [10]3 years ago

8 0

Answer:

4 pounds of turkey

Step-by-step explanation:

Each person eats 2/6 pound of turkey

Multiply 2/6 by 12 because you have 12 people

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Solve Using Dirac Deltla/discontinuous forcing

Jet001 [13]

Let $A(t)$ denote the amount of salt in the tank at time $t$ . We're told that $A(0)=0$ .

For $0\le t\le15$ , the salt flows in at a rate of (1/5 lb/gal)*(5 gal/min) = 1 lb/min. When the regulating mechanism fails, 20 lbs of salt is dumped and no more salt flows for $t>15$ . We can capture this in terms of the unit step function $u(t)$ and Dirac delta function $\delta(t)$ as

$\text{rate in}=u(t)-u(t-15)+20\delta(t-15)$

(in lb/min)

The salt from the mixed solution flows out at a rate of

$\text{rate out}=\left(\dfrac{A(t)\,\mathrm{lb}}{50+(5-5)t\,\mathrm{gal}}\right)\left(5\dfrac{\rm gal}{\rm min}\right)=\dfrac A{10}\dfrac{\rm lb}{\rm min}$

Then the amount of salt in the tank at time $t$ changes according to

$\dfrac{\mathrm dA}{\mathrm dt}=u(t)-u(t-15)+20\delta(t-15)-\dfrac A{10}$

Let $\hat A(s)$ denote the Laplace transform of $A(t)$ , $\hat A(s)=\mathcal L_s\{A(t)\}$ . Take the transform of both sides to get

$s\hat A(s)-A(0)=\dfrac1s-\dfrac{e^{-15s}}s+20e^{-15s}-\dfrac1{10}\hat A(s)$

Solve for $\hat A(s)$ , then take the inverse of both sides.

$\hat A(s)=\dfrac{\frac{10-10e^{-15s}}{s^2}+\frac{200e^{-15s}}s}{10s+1}$

$\implies\boxed{A(t)=10-10e^{-t/10}+\left(30e^{3/2-t/10}-10\right)u(t-15)}$

7 0

4 years ago

A cake recipe calls for 4.5 deciliters of milk. How many liters of milk is needed for the recipe?

Bad White [126]

0.45 liters. I need twenty characters

5 0

3 years ago

Read 2 more answers

If the volume of an object is 100cm3 and the density is 4g/cm3. What is the mass of the object in g?

3241004551 [841]

Answer:

400g

Step-by-step explanation:

mass= density × volume

Substitute the given value of density and volume.

Mass of the object

= 4(100)

= 400g

7 0

3 years ago

An account earns simple annual interest. You deposit $600 into an account at 5% interest rate for 2 years. (a) Find the interest

Ilia_Sergeevich [38]

Answer:

(a) $60 | (b) $660

Step-by-step explanation:

We can use the simple interest formula for this:

$I=Prt$

<em>I = interest amount</em>

<em>P = principal amount</em>

<em>r = interest rate (decimal form)</em>

<em>t = time (years)</em>

<em />

First, change 5% into its decimal form:

5% -> $\frac{5}{100}$ -> 0.05

Next, plug in the values into the equation:

$I=600(0.05)(2)$

$I=60$

<em>The interest earned is $60. To find the total balance, just add the $600 back.</em>

$600+60=660$

The total interest earned is $60 and the total is $660.

4 0

3 years ago

Ramesh is buying a new bike helmet. The price of the helmet is $60 and there is a 5% sales tax. Ramesh wants to know the total p

iren [92.7K]

Answer:

63.00

Step-by-step explanation:

Got it right

7 0

4 years ago