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tiny-mole [99]
3 years ago
9

You are hanging 3 display shelves with the same width on a wall so that there is 18 inches of space above each shelf for placing

items.Each shelf is 3 inches wide. You want the space from the ceiling to the top 18 inches of space and the space below the bottom shelf to a chair rail to be the same. Determine the distance from the ceiling to the bottom of each of the shelves so that you can install them. Explain how you got your answer.
Mathematics
1 answer:
Kazeer [188]3 years ago
4 0

Answer:

You need to have a minimum of 16 inches of clearance.

Step-by-step explanation:

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Firdavs [7]

Answer:

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Step-by-step explanation:

Because the theoretical probability is greater than the experimental probability

3 0
2 years ago
Hi i love you! &lt;3<br> So does God and everyone else
Alex

Answer:

thanks

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Step-by-step explanation:

4 0
2 years ago
Suppose that a spherical droplet of liquid evaporates at a rate that is proportional to its surface area: where V = volume (mm3
Alex

Answer:

V = 20.2969 mm^3 @ t = 10

r = 1.692 mm @ t = 10

Step-by-step explanation:

The solution to the first order ordinary differential equation:

\frac{dV}{dt} = -kA

Using Euler's method

\frac{dVi}{dt} = -k *4pi*r^2_{i} = -k *4pi*(\frac {3 V_{i} }{4pi})^(2/3)\\ V_{i+1} = V'_{i} *h + V_{i}    \\

Where initial droplet volume is:

V(0) = \frac{4pi}{3} * r(0)^3 =  \frac{4pi}{3} * 2.5^3 = 65.45 mm^3

Hence, the iterative solution will be as next:

  • i = 1, ti = 0, Vi = 65.45

V'_{i}  = -k *4pi*(\frac{3*65.45}{4pi})^(2/3)  = -6.283\\V_{i+1} = 65.45-6.283*0.25 = 63.88

  • i = 2, ti = 0.5, Vi = 63.88

V'_{i}  = -k *4pi*(\frac{3*63.88}{4pi})^(2/3)  = -6.182\\V_{i+1} = 63.88-6.182*0.25 = 62.33

  • i = 3, ti = 1, Vi = 62.33

V'_{i}  = -k *4pi*(\frac{3*62.33}{4pi})^(2/3)  = -6.082\\V_{i+1} = 62.33-6.082*0.25 = 60.813

We compute the next iterations in MATLAB (see attachment)

Volume @ t = 10 is = 20.2969

The droplet radius at t=10 mins

r(10) = (\frac{3*20.2969}{4pi})^(2/3) = 1.692 mm\\

The average change of droplet radius with time is:

Δr/Δt = \frac{r(10) - r(0)}{10-0} = \frac{1.692 - 2.5}{10} = -0.0808 mm/min

The value of the evaporation rate is close the value of k = 0.08 mm/min

Hence, the results are accurate and consistent!

5 0
3 years ago
Find f(x) + g(x) when f(x) = 2x^2 + x and g(x) = 3x + 2
Artyom0805 [142]

Answer:

2x^2 + 4x+2

Step-by-step explanation:

f(x) = 2x^2 + x and g(x) = 3x + 2

f(x) + g(x) =  2x^2 + x + 3x + 2

            Combine like terms

               = 2x^2 + 4x+2

8 0
3 years ago
Read 2 more answers
A grapefruit weighs 0.25 kilograms a lemon weighs 0.24 times as much as the grapefruit how many kilograms did the lemon weigh
lesantik [10]

Answer:

The lemon weighs 0.06 kilograms.

Step-by-step explanation:

0.25*0.24=0.06

4 0
3 years ago
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