Since the slope stays the same as it's parallel, we have y=(3/4)x+b. Plugging (2,-1) in, we get -1=3*2/4+b=6/4+b=1.5+b. Subtracting 1.5 from both sides, we get -2.5=b and our equation being y=(3/4)x-2.5 (since in y=mx+b, y and x remain as variables)
The slope is equivalent to the rise over run. Since the
slope of the bike ramp is ¼, the rise is equivalent to 1 and the run is
equivalent to 4. To get the angle of the bike ramp make with the ground, let us
use the equation tanθ= rise/run.
Therefore, tanθ= ¼.
Θ=tan-1 (1/4)
So the angle of the bike ramp is Θ= 14degrees
Answer: The amount of carbon-14 remaining after 4 years is 99.95 grams.
Step-by-step explanation:
Hi, to answer this question we simply have to substitute t=4 in the equation given and solve for c.
c= 100 (0.99988)^t
c =100 (0.99988)^4
c = 100 x 0.999520086
c= 99.95200864 ≅99.95 grams (rounded)
The amount of carbon-14 remaining after 4 years is 99.95 grams.
Feel free to ask for more if needed or if you did not understand something.
Use the equation 28/.70 and you should get your answer
Answer: Option B
Step-by-step explanation:
First we assign a name to the events:
Event S: a customer buys socks
Event H: a customer buys shoes.
We know that :
We also know that the probability of S given that H occurs is:
If two events S and H are independent then:
This mean that if two events S and H are independent then:
We know that:
and
This means that S and H events are dependent.
The answer is the option B
