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agasfer [191]
3 years ago
14

Help I give points

Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0
It is A because if you do your seven step process it will be A
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A certain prescription drug diminishes in the system at a rate of 25% per hour. If a person was administered 1450mg of the drug,
Helen [10]

9514 1404 393

Answer:

  • 459 mg
  • about 20 hours

Step-by-step explanation:

The decay factor is 1 -25% = 0.75 per hour, so the exponential equation can be written ...

  r(t) = 1450·0.75^t . . . . . milligrams remaining after t hours

__

a) After 4 hours, the amount remaining is ...

  r(4) = 1450·0.75^4 ≈ 458.79 . . . mg

About 459 mg will remain after 4 hours.

__

b) To find the time it takes before the amount remaining is less than 5 mg, we need to solve ...

  r(t) < 5

  1450·0.75^t < 5 . . . . use the function definition

  0.75^t < 5/1450 . . . . divide by 1450

  t·log(0.75) < log(1/290) . . . . . take logarithms (reduce fraction)

  t > log(1/290)/log(0.75) . . . . . divide by the (negative) coefficient of t

  t > 19.708

It will take about 20 hours for the amount of the drug remaining to be less than 5 mg.

7 0
3 years ago
Recall the Akaike information Criterion (AIC) as well as the related Bayesian Information Criterion (BIC) from our study of Vari
irga5000 [103]

Step-by-step explanation:

To check out how efficient or accurate a model is, we use the akaike information criterion or the Bayesian. If the AIC or BIC are lower, then this model would be better. They are also used to control for model complexity

Akaike information criterion = 2k-2ln where k is the number of parameter. A higher k gives a higher AIC.

In the real world complex models are discouraged and avoided since

1. They cause data to be over fitted and can capture noise and information from this data.

2. They are complex and therefore difficult to interpret

3. They consume a lot of time and computing them has several inefficiencies.

Using these two as measure of performance, we can select optimal choice of independent variable.

With forward/backward regression, we are able to put new variables in the model or remove from it. The best is the one with lowest AIC.

5 0
3 years ago
A pick-up weighing 1.4 t is loaded with 40 bags of cement each weighing 50 kg. What in the total weight of the pick-up and its l
mixer [17]

Answer:

3.4 tonnes

Step-by-step explanation:

Kg --> tonnes = / 1000

50 x 40 / 1000 = 2. 2 + 1.4 = 3.4.

5 0
2 years ago
BRAINLIEST!!PLEASE HELP ME
Sauron [17]

divide both sides by a

subtract b from both sides

multiply all terms on both sides by -1
c=b-d/a

5 0
3 years ago
X^2+3x−10=0 (solve for x)
kap26 [50]

Answer:

x1=2 x2=-5

Step-by-step explanation:

7 0
2 years ago
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