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2 years ago

PLEASE HELP ME SO I CAN GRADUATE!!!!!

Mathematics

1 answer:

Aleks04 [339]2 years ago

7 0

Answer:

A: -41/9

Step-by-step explanation:

Substitute the point (4, -5) and slope -1/9 into the equation y = mx + b.

-5 = -1/9(4) + b

-5 = -4/9 + b

Solve for b:

b = -41/9

Our equation: y = -1/9(x) - 41/9

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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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2 years ago

Pls help me to solve this

zloy xaker [14]

Answer:

see below

Step-by-step explanation:

19-3 will be greater

We are multiplying 1/2 *(19-3) which is multiplying by a number less than 1 it will be less than 1

18-3 = 16

1/2 * (19-3)

Using PEMDAS

We do parentheses first

1/2 ( 16)

Then multiply

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2 years ago

Michele correctly solved a quadratic equation using the quadratic formula as shown below.

ra1l [238]

Whats the answers it doesn’t show for me

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2 years ago

Choose the correct proportions.

ozzi

Answer:

Step-by-step explanation:

We know that the only possibilities with proportionate answers are 6:7 = 12:14, or 7:6 = 14:12. Only 6:7 = 12:14 is an answer choice. Both the numbers in the first pair times two equal the second pair.

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2 years ago

On the blueprint of a house, 42 millimeters represents 8 meters. The actual length of the living room is 5 meters. What is its l

RideAnS [48]

Answer:

26.25 mm

Step-by-step explanation:

On the blueprint of a house, 42 millimeters represents 8 meters. Thus,

42 mm - 8 m,

x mm - 5 m,

mathematically,

$\dfrac{42}{x}=\dfrac{8}{5},\\ \\42\cdot 5=8x,\\ \\x=\dfrac{210}{8}=\dfrac{105}{4}=26.25\ mm.$

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2 years ago