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Answer:
k = -8c.
Step-by-step explanation:
y^2 = kx
Find the slope of the tangent by differentiating:
y' 2y = k
y' = k / 2y = the slope of the tangent.
The given equation of the tangent is y = -2x + c so the slope = -2.
Therefore k/2y = -2 so k = -4y and y = -k/4
y^2 = kx so k^2/16 = kx giving x = k/16.
Substituting for x and y in y = -2x + c:
-k/4 = -2 k/16 + c
-k/4 = -k/8 + c
c = -k/4 + k/8 = -k/8.
So -k = 8c
k = -8c.
Answer:
Total number of marbles = 10+20+30 = 60 out of which 20 are blue.
Probability of first marble being blue = 20/60
Probability of second marble being blue = 19/59
Probability of third marble being blue = 18/58
Probability of fourth marble being blue = 17/57
Probability of fifth marble being blue = 16/56
So probability of all marble being blue when five marbles are drawn from the box = (20/60)*(19/59)*(18/58)*(17/57)*(16/56) = 34/11977 = 0.00283877432
Step-by-step explanation:
I think it is B. and the amount that they each need to pay is $1.13
This has normal multiplication plus a conversion from fluid ounces to quarts
First find how many fluid ounces she would need by multiplying the 26 mugs by 16 fluid ounces
26*16= 416 fluid ounces
1 Fluid ounce is equal to .03125 quarts; so
416*.03125=13
She needs 13 quarts of coffee
