We are given with two alleles for color: one is the red allele and the other is the purple allele. The equation that represents the two alleles is expressed <span> p^2+2pq+q^2=1. We are given with 0.30 probability for the red allele. we substitute this to the equation to determine the purple allele probability, q. The answer is D. 0.7 </span>
Answer:
There are a total of 360° in any given circle, so an arc swept out by 60° of that 360° would make up 60/360 = 1/6 of the circle's circumference.
The formal for the circumference of a circle comes out of the definition of one of the most famous constants in mathematics: π. π is defined as the ratio between a circle's circumference and its diameter, or:
From this definition, we can multiply both sides of the equation by d to obtain
or, circumference is π times the diameter. To find the diameter, we just need to double the radius, giving us 5 * 2 = 10cm. Usually you'll see π approximated as 3.14, which is likely what they want you to use here. Using that approximation, we find the circumference to be 3.14 * 10 = 31.4 cm.
Finally, to get the length of that arc, we just need to take 1/6 of the circumference (since the arc sweeps out 1/6 of the circle), giving us 31.4 * 1/6 ≈ 5.2 cm.
Step-by-step explanation:
For this case we have the following expression:
We take common factor 
, for this we must take into account that:
So, factoring the expression we have:
ANswer:
The factored expression is:
Answer:
the answer is 54pi cm^3
Step-by-step explanation:
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