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ad-work [718]
2 years ago
15

What is the volume of this figure?

Mathematics
1 answer:
sattari [20]2 years ago
3 0

Answer:

1323 cubic inches

Step-by-step explanation:

Volume of rectangular prism is (8)(14)(9)=1008

Volume of rectangular prism is (1/2)(5)(14)(9)=315

So total volume is 1008 + 315 = 1323

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Step-by-step explanation:

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3 years ago
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Multiply (x + 1)³
nlexa [21]

Answer:

x³+3x²+3x+1

Step-by-step explanation:

=(x+1)(x+1)(x+1)

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4 0
1 year ago
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Write down a differential equation of the form dy/dt = ay + b whose solutions have the required behavior as t → ∞. all other sol
nordsb [41]

The ODE has an equilibrium point at

\dfrac{\mathrm dy}{\mathrm dt}=ay+b=0\implies y=-\dfrac ba

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Divergence from y=2 would require that for y>2, any solution is increasing, and for y, and solution is decreasing. In order for that to happen, we need

\dfrac{\mathrm dy}{\mathrm dt}=ay+b>0\implies y>-\dfrac ba

if y>2, and

\dfrac{\mathrm dy}{\mathrm dt}=ay+b

if y.

Now we just pick a,b to satisfy these conditions. An easy choice is a=1, which forces b=-2, so that one possible ODE would be

\dfrac{\mathrm dy}{\mathrm dt}=y-2

I've attached a plot of the slope field to demonstrate the behavior of the solutions.

6 0
3 years ago
Three ratios equivalent to 16:12
Elina [12.6K]

Answer:

48:36   64:48  60:80

Step-by-step explanation:

7 0
3 years ago
The company leased two manufacturing facilities. Lease A requires 20 annual lease payments of $200,000 beginning on January 1, 2
Fed [463]

Answer:

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Step-by-step explanation:

the present value of annual lease payment will be determined by discounting the total amount to be received from lease payment over years.

for lease A  , Pv =   A \fracA{1 -(1+r)^{-n} }{r}

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for lease B , Pv =   $220,000( 1 - (1+0.1)^-{17}) / 0.1  =  $1,764,741.73

the amount to be dicloased in the balance sheet at 31 december, 2018

6 0
3 years ago
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