<h2>
Answer: 2.59 × 10¹⁰ kilometers/day</h2>
<h3>
Step-by-step explanation:</h3>
Since there are 86400 seconds / day
& light travels at 3 x 10⁵ kilometers / second
Then kilometers the light travels in a day
= (86400 seconds / day) × (light travels at 3 x 10⁵ kilometers / second)
= 2.59 × 10¹⁰ kilometers/day
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<u>Note:</u>
<em>We know that we have to multiply because the unit 'seconds per day' has the seconds in the numerator, while the unit 'kilometer per second' has the seconds in the denominator, so to cancel we would have to multiply. This gives us the unit we are looking for 'kilometeres per day'.</em>
Answer:
a=f-v/t
Step-by-step explanation:
f-v=at
or,a=f-v/t
Answer:
78.5714286 cm²
Step-by-step explanation:
The equation for the area of a circle is πr².
You can work out the radius (r) by halving the value of the diameter, which is given as 10cm.
You then square this, so 5² = 25.
Finally, multiply this by pi which is given to you as 22/7.
(22/7) x 25
3.14285714286 x 25 = 78.5714285714, to be exact.
Answer:
The differential equation is ![\frac{dx(t)}{dt} = k x(t) [7000 - x(t)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20k%20%20%20x%28t%29%20%5B7000%20-%20x%28t%29%5D)
Step-by-step explanation:
From the question we are told that
The number of students are ![n = 7000](https://tex.z-dn.net/?f=n%20%3D%20%207000)
The number of student that have contracted the flu is x(t)
The number of student that don't have the flu is mathematically represented as
![z = 7000 - x(t)](https://tex.z-dn.net/?f=z%20%3D%207000%20-%20x%28t%29)
The rate at which the disease spread is proportional to the number of interactions between students with the flu and students who have not yet contracted it, which can be mathematically represented as
![\frac{dx(t)}{dt} \ \ \ \alpha\ \ \ x(t) [7000 - x(t)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%5C%20%5C%20%5C%20%5Calpha%5C%20%5C%20%5C%20%20%20x%28t%29%20%5B7000%20-%20x%28t%29%5D)
=> ![\frac{dx(t)}{dt} = k x(t) [7000 - x(t)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20k%20%20%20x%28t%29%20%5B7000%20-%20x%28t%29%5D)
Hello!
1.10*5=5.5
5 pounds of bananas will cost $5.50.
Hope this helps!