1/32 because 1/4 is the probability for the first one and then 1/8 for the next one. 4 times 8 = 32 so there is a 1 in 32 chance
The point-slope form of the equation for a line can be written as
... y = m(x -h) +k . . . . . . . for a line with slope m through point (h, k)
Your function gives
... f'(h) = m
... f(h) = k
a) The tangent line is then
... y = 5(x -2) +3
b) The normal line will have a slope that is the negative reciprocal of that of the tangent line.
... y = (-1/5)(x -2) +3
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You asked for "an equation." That's what is provided above. Each can be rearranged to whatever form you like.
In standard form, the tangent line's equation is 5x -y = 7. The normal line's equation is x +5y = 17.
Answer:
Step-by-step explanation:
The patient is recommended to take 24 ounces of coffee per day.
<u>Step-by-step explanation:</u>
Patient normal intake of coffee daily = 5 times 12 ounces
= 5 × 12 = 60 ounces
Doctor recommends to cut off 60 % of the normal intake of coffee.
And advised to take only 40 % of the daily intake of coffee.
So 60 % of 60 ounces can be calculated as,
= 36 ounces
40 % of 60 ounces is 24 ounces.
So 60 - 36 = 24 ounces of coffee per day
