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2 years ago

A relation includes the coordinate (3,3). What other coordinate must be included in the relation if it is even?

1 answer:

3 0

let's not forget that when a relation is "even" f(-x) = f(x), or namely any negative of "x" yields the same result as any positive one.

if this relation is "even" and has (3 , 3), where x = 3, then if we were to plug f(-3) we should get a result or y-value of the same 3, giving us a point of (-3 , 3).

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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!

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3 years ago

Evaluate x + y when x = - 18.2 and y = 3.6

Contact [7]

-18.2 + 3.6= -14.6 is the answer to the question

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3 years ago

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i sent the picture right there go ahed and read the question and give me the answer so i can answer this tets lol

bazaltina [42]

She will be able to cover 469.875 meters

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3 years ago

Divide 48 in the ratio 3 : 6:7

Marina CMI [18]

Answer:

$48 \times \frac{3}{16} \\ 9$

$48 \times \frac{6}{16} \\ 18$

$48 \times \frac{7}{16} \\ 21$

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3 years ago

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Write the fraction in decimal notation 3 1/100

Nesterboy [21]

3.01 is the decimal notation for 3 1/100. You keep the three in the ones place. 1/100 is a decimal. If you use long division or a calculator, you can see that 1/100 is 0.01.

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3 years ago