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Nadusha1986 [10]

3 years ago

12

How do you solve this ? what do you do with the exponets ?

2 answers:

Vikki [24]3 years ago

8 0

$\bf \left( 6-x \right)^{\frac{4}{7}}=x^{\frac{4}{7}}\impliedby 
\begin{array}{llll}
\textit{since the exponents are the same}\\
\textit{their bases must also be the same}
\end{array}
\\\\\\
6-x=x\implies 6=2x\implies \cfrac{6}{2}=x\implies 3=x$

antiseptic1488 [7]3 years ago

6 0

4/7 is the answer.

I cant reall explain becuase it will take forever xD

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Here is a probability scale

xxMikexx [17]

Answer:

a) e

b) c

c) a

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5 0

3 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!

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3 years ago

How many times greater is the value of 83 than the value 0.083?

Inessa [10]

1000 times greater (1K)

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3 years ago

Louise begins factoring the polynomial, which has four terms.

ad-work [718]

Louise wants to factorize completely the given polynomial $4x^{3}+12x^{2}+5x+15$

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Taking (x+3) common from the given expression,

= $=(4x^{2}+5)(x+3)$ is the completely factored form.

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3 years ago

Fifteen people were asked how many days it had been since they had eaten more than 50 grams of carbohydrates in a single day. Th

sukhopar [10]

It's C
Because I know it

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3 years ago