Answer: (d)
Step-by-step explanation:
Given
It takes 14 hours with 40 mph to reach the theatre
so, the distance traveled is given by

It is given that d is the distance from theatre to friend's house
So, d must be less than
i.e.

So, the most appropriate option out of the given is option (d) as d must be less than 560 and it is possible that it maybe less than 160.
Answer:

Step-by-step explanation:
Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have
Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising
<em>P(0) = 0 and P(50) = 1,500,000
</em>
We have and ordinary differential equation of first order that we can write
The <em>integrating factor </em>is
Multiplying both sides of the equation by the integrating factor
Hence
Integrating both sides
But P(0) = 0, so C = -3,000,000
and P(50) = 1,500,000
so
And the equation that models the number of people (in millions) who become aware of the product by time t is
it wants you to make a table of the inputs and out puts, and what is the pattern that is happening. like is it a constant increase/decrease and things like that. i'll help you on the table...
x | y
1 | 5
2 | 4
3 | 3
4 | 2
(i am not sure what that 40 is at the end, but You get the point)
now all you have to do is identify the sequence or pattern you see here
True.
The Pythagorean theorem is a^2 + b^2 = c^2 where a^2 and b^2 are the two legs of the triangle (two sides connected by the right angle) and c is the hypotenuse (longest side, opposite the right angle).
To solve using the Pythagorean theorem, plug in sides AC and CB into a and b, then solve for c.
23^2 + 31^2 = c^2
529 + 961 = c^2
c^2 = 1490
c = √1490 = 38.601
I hope this helps!
Answer:
129
Step-by-step explanation:
the 2 angles together will equal 180 because that is half of a circle a circle is 360so what you do is subtract 180 minus 51 and get 129