Step-by-step explanation:
the rate of change is officially
(f(x2) - f(x1)) / (x2 - x1)
but for a line function (as we have here) this is totally easy : it is the slope of the line.
and that means it is the factor of x.
in our case this is -3/2.
because the slope of a line is the ratio "y coordinate change / x coordinate change". and that is exactly corresponding to the general rate of change definition above.
Answer:
201.06
Step-by-step explanation:
Area of circle: 
r = 1/2d = 1/2(16) = 8

Answer:
sin=15/17
Step-by-step explanation:
Use the definition of sine to find the value of
sin (0)
sin (0) = opp/hyp
THEN
Substitute in the known values.
sin (0) = 15/17
Answer: 15/91 which is choice B
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There are two methods to find this answer.
Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91
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Method 2) We can use the nCr combination formula. Order does not matter.
We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)
Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)
So that's another way to get the answer 15/91.
Answer:
4 : 5
Step-by-step explanation:
18 - 10 = 8 (Bones)
Bones to frisbees
8 : 10
Simplest form which is divided by 2 for each number:
4 : 5