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3 years ago

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

1 answer:

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]

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:

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

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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

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3 years ago