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2 years ago

6

AT&T:$0.08 per minute,$5 monthly fee VOIP:(cable phone):free calls,$35 monthly fee Cell:$40 for first 400 minutes,$0.25 per

minute after 400
equation for each? how to graph?

1 answer:

Luden [163]2 years ago

4 0

Make 2 graphs and with the second graph graph the cell fee and with the first Do the minutes

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Explain how you decide wether to multiply or divide by 3 if you need to convert yards to feet.

Valentin [98]

Answer:

Step-by-step explanation:

Converting yards to feet means that we want the label of yards to cancel, leaving feet as our label. Use the factor-label method taught in chemistry.

$???yds *\frac{3feet}{1yd}$

The yards label cancels out, leaving feet as our label. So to answer the question, in order to convert from yards to feet you are multiplying by 3.

6 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

2 years ago

A cargo plane flew from the US across the Atlantic at 212 mph, and flew back to the US at 232 mph. Given that the first trip too

expeople1 [14]

The return trip was 21.2 hours long.

Step-by-step explanation:

Given,

Speed of plane from US = 212 mph

Speed of plane on return trip = 232 mph

Let,

x be the time taken on return trip.

Time taken from US = x+2

We know that;

Distance = Speed * Time

Distance of plane from US = 212(x+2) = 212x+424

Distance on return trip = 232x

As the distance will be same, therefore,

$232x=212x+424\\232x-212x=424\\20x=424$

Dividing both sides by 20

$\frac{20x}{20}=\frac{424}{20}\\x=12.2\ hours$

The return trip was 21.2 hours long.

Keywords: distance, speed

Learn more about speed at:

#LearnwithBrainly

5 0

3 years ago

At a computer store, a customer is considering 7 different computers, 9 different monitors, 8 different printers and 2 differ

AlekseyPX

Answer:

1008

Step-by-step explanation:

to find the number of combinations, just multiply everything. you will get 1008 :)

3 0

3 years ago

The image of the point (6, 6) under a translation is (5,2). Find the coordinates of

Dmitry [639]

9514 1404 393

Answer:

(-1, -2)

Step-by-step explanation:

The difference between the coordinates of the image and the coordinates of the original is the same for both points.

X - (0, 2) = (5, 2) -(6, 6)

X = (5, 2) -(6, 6) +(0, 2) = (5-6+0, 2-6+2)

X = (-1, -2)

The image of the point after translation is (-1, -2).

6 0

2 years ago