Answer:
See below
Step-by-step explanation:
Perpendicular lines have slopes which are negative reciprocals. When the slopes are multiplied like 3 and -1/3 is -1.
This means the line y = -6x + 7 which has slope -6 will have a perpendicular line that has slope 1/6.
Any equation which has slope 1/6 is a solution.
Example 1/6x - 1 or 1/6x + 7 or etc.
The coefficient of these two number are -24 and 7. :)
Answer:
It'll take approximately 9.1 minutes
Step-by-step explanation:
The decay of this element can be modeled by the following expression:
m(t) = 540*(1 - 0.179)^t
Where m is the mass of the element in a given minute t. This expression comes from a compounded interest formula, with negative rate, since they will work in the same manner. Therefore to find how long until it reaches 90 g, we need to make m = 90 and solve for t.
90 = 540*(0.821)^t
(0.821)^t = 90 / 540
(0.821)^t = 1/6
ln(0.821^t) = ln(1/6)
t*ln(0.821) = ln(1) - ln(6)
t*ln(0.821) = - ln(6)
t = -ln(6)/ln(0.821) = 9.08452
It'll take approximately 9.1 minutes
The volume of a cylinder is equal to 
, where r is the radius of the cylinder and h is its height.
324 =
324 = 
x 3.14 x 
x 1
309.55 =
r = 
r = approx. 17.59 inches
I hope this answer helped you! If you have any questions, feel free to ask away.
Answer:
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Step-by-step explanation:
by swag
