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iogann1982 [59]
3 years ago
9

A high-speed bullet train travel 900 feet in 5 seconds at this rate how far would it travel in 1 minute

Mathematics
1 answer:
iragen [17]3 years ago
5 0
Since there are 60 seconds in one minute, we can form the equation:
900 \div 5 = x \div 60
From here, we can cross multiply.
5x = 54000
x = 10800
The train would travel 10,800 feet in one minute.
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What is 10,000,000 + 700,000,000 + 2,000,000 + 9,000 + 4 + 400,000 + 10,000 + 70 + 700 in standard form?
Katyanochek1 [597]
<h3>10,000,000+700,000,000+2,000,000+9,000+4+</h3><h3>400,000+10,000+70+700</h3><h3>=712419774</h3>

please mark this answer as brainlist

8 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!

5 0
3 years ago
Find the circumference of the circle ! Please help
Svetach [21]

Answer:

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Step-by-step explanation:

Plz mark brainliest!!!

6 0
3 years ago
The prevalence of cigarette smoking in the united states is in decline if the percentage of smokers in 2014 was 16.7% and the pe
astraxan [27]

The linear formula for the sequence whose terms represent the percentage of americans who smoke n years after 2014 is:

a(n) = -5.6n + 16.7

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and for a time-dependent function, can also be interpreted as the initial value.

In this problem:

  • The percentage of smokers in 2014 was 16.7%, hence the initial value is b = 16.7
  • The percentage is decreasing by 5.6% each year, hence the slope is m = -5.6.

Then, the <em>equation </em>is:

y = mx + b

a(n) = -5.6n + 16.7

You can learn more about linear functions at brainly.com/question/24808124

7 0
3 years ago
A gym employee is paid monthly.after working for 3 months he had earned $4,500. To determine how much money he will make over a
Soloha48 [4]
He would make $9,000 in 6 months
6 0
3 years ago
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