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Darya [45]
3 years ago
12

A 0.3 ml dose of a drug is injected into a patient steadily for 0.65 seconds. At the end of this time, the quantity, , of the dr

ug in the body starts to decay exponentially at a continuous rate of 0.35 percent per second. Using formulas, express as a continuous function of time, , in seconds.
Mathematics
1 answer:
Darya [45]3 years ago
4 0
Use the compound interest formula: A=P(1+i)^t.

P is the initial amount of the drug, 0.3ml.
i is - 0.0035.
t is in seconds.

You'll get:
A=0.3(1-0.0035)^t.

Sub in any value on t to find out how many ml are left t seconds after injection.

The 0.65 second injection time does not seem to be relevant as the question clearly states that the exponential decay starts AFTER the injection is completed.
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What are the intercepts of the function?
snow_tiger [21]

Answer:

x-int: (-1, 0), (-11, 0)

y-int: (0, 11)

Step-by-step explanation:

To find x-int, set equation equal to 0:

x² + 12x + 11

(x + 1)(x + 11)

x = -11, -1

To find y-int, set <em>x</em> = 0

f(0) = 0² + 12(0) = 11

f(0) = 11

7 0
3 years ago
Find the slope of the line that contains the points (1,-1) and (-2,8)
motikmotik
The formula for slope is (y-y1)/(x-x1).
1 = x
-1 = y
-2 = x2
8 = y2

You would plug those into the formula: (-1-(-2))/(-1-8) and that would equal to: 1/(-9).
4 0
3 years ago
HELP!!!<br> write the linear equation of the given table
Nesterboy [21]

Answer: y = 1.5x + 3

Step-by-step explanation:

5 0
3 years ago
Out of the three answers, which one is correct?<br> I would also appreciate an explanation
cricket20 [7]

Answer:

69

Step-by-step explanation:

All angles in a triangle = 180°

35 + x + (x+7) = 180

42 + 2x = 180

2x = 138

x = 69

Hope this helps!

7 0
2 years ago
The board of an internet start up company has sixteen members. if one person is in charge of research and one is in charge of ma
Brilliant_brown [7]

The number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members is <u>240 ways</u>. Computed using permutations.

The permutation is the way of choosing a set of objects from a larger set of objects in a specific sequence.

If we are choosing r number of objects, from n number of objects in a specific sequence, then we follow permutation, and it is given as:

nPr = n!{(n - r)!}.

In the question, we are asked to find the number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members.

Since the position is to be chosen in a specific order, we will follow permutation.

The number of positions to be chosen (r) = 2.

The number of members (n) = 16.

Thus, the number of ways is given as:

nPr = n!{(n - r)!},

or, 16P2 = 16!{(16 - 2)!},

or, 16P2 = 16!/14! = 15*16 = 240.

Thus, the number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members is <u>240 ways</u>. Computed using permutations.

Learn more about permutations at

brainly.com/question/4658834

#SPJ4

6 0
2 years ago
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