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Diano4ka-milaya [45]
1 year ago
10

The half life of a certain tranquilizer in the bloodstream is 37 hours. How long will it take for the drug to decay to 86% of th

e original decay model,A=A
Mathematics
1 answer:
nata0808 [166]1 year ago
5 0

Answer:

  8.1 hours

Step-by-step explanation:

A model of the fraction remaining can be ...

  f = (1/2)^(t/37) . . . . t in hours

So, for the fraction remaining being 86%, we can solve for t using ...

  0.86 = 0.5^(t/37)

  log(0.86) = (t/37)log(0.5)

  t = 37·log(0.86)/log(0.5) ≈ 8.0509 ≈ 8.1 . . . hours

It takes about 8.1 hours to decay to 86% of the original concentration.

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Use a coordinate proof to prove that mid segment MN of triangle PQR is parallel to PR and half the length of PR. Which is the fi
IRINA_888 [86]

Answer:

D. Place the triangle on a coordinate grid such that QR lies on the x-axis and PQ lies in the y-axis

Step-by-step explanation:

A midsegment of the triangle is the line segment the connects the midpoints of two sides of the triangle. This midsegmet is parallel to the base.

Constructing a triangle with two sides over the x-axis and y-axis respectively makes it easier to verify that the midsegment is half the base.

So, it's D. The best option.

4 0
2 years ago
The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of vi
baherus [9]

Answer: 2185

Step-by-step explanation:

Let p be the proportion of visitors are campers.

Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.

The prior proportion of visitors are campers : p=0.35

Allowable error : E= 2%= 0.02

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Then by Central Limit Theorem , the required sample size would be :

n=p(1-p)(\dfrac{z_{c}}{E})^2

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Simply , we get

n=2184.91\approx2185  [Rounded to the next whole number.]

Hence, the smallest sample size to estimate the population proportion of campers =2185

7 0
1 year ago
Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of
nikklg [1K]

Answer:

a.  5 + 2i, 13 + 2i, 29 + 2i

Step-by-step explanation:

We'll use the formula  f(z) = 2z + (3 - 2i)  for each iteration. The output of the first iteration will be come the input of the second iteration, and so on.

So, we start with z0 = 1 + 2i and we plug that into the base equation:

z0 = 1 + 2i ==> f(z) = 2(1 + 2i) + 3 - 2i = 2 + 4i + 3 - 2i = 5 + 2i

z1 = 5 + 2i ==> f(z) = 2(5 + 2i) + 3 - 2i = 10 + 4i + 3 - 2i = 13 + 2i

z2 = 13 + 2i ==> f(z) = 2(13 + 2i) + 3 - 2i = 26 + 4i  + 3 - 2i = 29 + 2i

z3 = 29 + 2i

8 0
1 year ago
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Answer:

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So wee need to find x

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