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pantera1 [17]
3 years ago
5

Henry is taking a medicine for a common cold. The table below shows the amount of medicine f(t), in mg, that was present in Henr

y's body after time t:
t (hours) 1 2 3 4 5
f(t) (mg) 282 265.08 249.18 234.22 220.17
Greg was administered 200 mg of the same medicine. The amount of medicine in his body f(t) after time t is shown by the equation below:
f(t) = 200(0.88)t
Which statement best describes the rate at which Henry's and Greg's bodies eliminated the medicine?
Henry's body eliminated the antibiotic faster than Greg's body.
Henry's body eliminated the antibiotic at the same rate as Greg's body.
Henry's body eliminated the antibiotic at half of the rate at which Greg's body eliminated the antibiotic.
Mathematics
2 answers:
erastova [34]3 years ago
5 0

Answer:

The answer is that Henry's body eliminated the antibiotic at half of the rate at which Greg's body eliminated the antibiotic.

Step-by-step explanation:

I think this is it

Elden [556K]3 years ago
3 0
Geometric sequence general form: a * r^n
For Greg, we are given the elimination of the medicine as a geometric nth term equation:
200 * (0.88)^t
The amount of medicine starts at 200 mg and every hour, decreases by 12%;
To compare the decrease in medicine in the body between the two, it is useful to get them in a common form;
So, using the data provided for Henry, we will also attempt to find a geometric nth term equation that will work if we can:
As a geometric sequence, the first term would be a and the second term would be ar where r = multiplier;
If we divide the second term by the first term, we will therefore get r, which is 0.94 for Henry;
We can check that the data for Henry can be represented as a geometric sequence by using the multiplier (r) to see if we can generate the third value of the data;
We do this like so:
282 * (0.94)^2 = 249.18 (correct to 2 d.p)
We can tell that the data for Henry is also a geometric sequence.
So now, we just look at the multiplier for Henry and we find that every hour, the medicine decreases by 6%, half of the rate of decrease for Greg.

The answer is therefore that <span>Henry's body eliminated the antibiotic at half of the rate at which Greg's body eliminated the antibiotic.</span>
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Step-by-step explanation:

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A company estimates that it will sell ????(x) units of a product after spending x thousand dollars on advertising, as given by ?
zepelin [54]

Answer:

(11\frac{1}{3},20)

Step-by-step explanation:

If the Number of Sales of x units, N(x) is defined by the function:

N(x)=-5x^3+235x^2-3400x+20000,10\leq x\leq 40

N'(x)=-15x^2+470x-3400\\When -15x^2+470x-3400=0\\x=20, x=11\frac{1}{3}

Next, we text the critical points and the end points of the interval to see where the derivative is increasing.

N'(10)=-200\\N'(11\frac{1}{3})=0\\N'(19)=115\\N'(20)=0\\N'(40)=-8600

Thus, the rate of change of sales N'(x) is increasing in the interval (11\frac{1}{3},20) on 10≤x≤40.

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2 years ago
Which of the following are the coordinates of a rectangle with a length of 4 units and a width of 3 units in the coordinate plan
jekas [21]
A!!
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5 0
2 years ago
Help fast!! please.
alexira [117]

Answer:

Mean = 10

Variance = 30.89

Standard Deviation = 5.56

Step-by-step explanation:

Find the Mean, Variance and Standard deviation

6, 14, 8, 2, 11, 7, 12, 4, 18, 18

Step 1

We rearrange the data and find the Mean

2, 4, 6, 7, 8, 11, 12, 14, 18, 18

Mean = Sum of values/Number of values

= 2 + 4+ 6+ 7+ 8 + 11 + 12 + 14 + 18 +18/10

= 100/10

= 10

Step 2

We find the variance of this sample days ma

Variance = (x - Mean)²/n - 1

n = 10

Hence,

=( (2 - 10)² +(4 - 10)²+ (6 - 10)²+ (7 - 10)² + (8 - 10)² + (11 - 10)² + (12 - 10)² + (14 - 10)² + (18 - 10)² +(18 - 10)²) /10 -1

= ( 64 + 36 + 16 + 9 + 4 + 1 + 4 + 16 + 64 +64)/9

= 278/9

= 30.88888889

Approximately = 30.89

Step 3

Standard Deviation = √Variance

= √30.89

= 5.5578772926

Approximately = 5.56

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3 years ago
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