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ehidna [41]
3 years ago
14

If a hospital patient is given 100 milligrams of medicine which leaves the bloodstream at 14% per hour, how many milligrams of m

edicine will remain in the system after 10 hours? Use the function A(t) = Iert. .
Mathematics
1 answer:
prohojiy [21]3 years ago
6 0

update: 405.52 mg isn't the correct answer

Okay so the right answer is 24.66 because the text says 100 milligrams of medicine which leaves the bloodstream at 14% per hour. so the rate 14% is going to be negative

A(t) = Ie^rt

A(10) = 100e^-0.14(10)

A(10) =24.66

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If two of the four expressions x + y, x + 5y, x – y, and 5x – y are chosen at random, what is the probability that their product
storchak [24]

Answer:

  1/6

Step-by-step explanation:

The product will only be of the required form if the two chosen factors are of the form (x +by) and (x -by).

For the factor (x+y), there is also a factor (x-y) on the list. For the factor (x+5y), there is no factor (x-5y) available.

So, of the (4·3)/2 = 6 possible ways to choose two expressions from the four given expressions, only one pair of the 6 will have a product of the required form.

The probability is 1/6.

8 0
3 years ago
Which of the following sets of data will have the smallest Standard Deviation?
uranmaximum [27]

Answer: D

Step-by-step explanation:

Standard Deviation σ2 =

Σ(xi - μ)2/N

=(1 - 5.3)2 + ... + (9 - 5.3)2/10

=68.1/10

= 6.81

σ = √6.81

= 2.60959767014

B) σ2 =

Σ(xi - μ)2/N

=(3 - 61.7)2 + ... + (99 - 61.7)2/10

=58414.1/10

= 5841.41

σ = √5841.41

= 76.429117488036

C) (1 - 11.4)2 + ... + (1 - 11.4)2/10

=8758.4/10

= 875.84

σ = √875.84

= 29.59459410095

D) (79 - 79)2 + ... + (79 - 79)2/10

=0/10

= 0

σ = √0

= 0

I hope this helps, mark as Brainliest please.

6 0
3 years ago
joseph is shopping for school supplies he can buy a box of 24 pens for $4.32 or a box of 36 pens for $5.76. which is a better bu
Ugo [173]
I would say it’s better to buy the 36 box pens. 24\4.32=5.6 on the other hand the box of 36 is 36/5.76=6.25
8 0
3 years ago
Find the solution of the quadratic equation x^2+4x-12=0 MUST SHOW WORK!!!
bezimeni [28]

Answer:

x = 2,−6

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero

3 0
3 years ago
I need you to explain your answer, please.
Alex787 [66]

Answer:

7√6 - 5√7  

Step-by-step explanation:

5√7 + 12√6 - 10√7 - 5√6    (rearranging)

= (5√7 - 10√7) + (12√6  - 5√6)   (factor out √6 and √7 respectively)

= (5 - 10) √7  + (12  - 5)√6

=  -5√7  + 7√6  (rearrange)

=  7√6 - 5√7  

4 0
3 years ago
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