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blsea [12.9K]
2 years ago
10

After a certain medicine is ingested, its concentration in the bloodstream changes over time.

Mathematics
2 answers:
myrzilka [38]2 years ago
8 0

Answer:

Every hour, the medicine concentration decays by a factor of 4%.

Step-by-step explanation:

The relationship between the elapsed time, <em>t</em>, in minutes, since the medicine was ingested, and its concentration in the bloodstream, <em>C</em> (<em>t</em>), is:

C(t)=61\cdot (0.96)^{t}

The decay function is:

y=a(1-r)^{t}

Here,

<em>y</em> = final amount

<em>a </em>= initial amount

<em>r</em> = decay rate

<em>t</em> = time

From the provided expression the decay rate is:

1-r=0.96\\r=1-0.96\\r=0.04

Thus, every hour, the medicine concentration decays by a factor of 4%.

Mashcka [7]2 years ago
7 0

Answer:

0.09

Step-by-step explanation:

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A circle is centered at the point -3 2 and passes through the point 1 and 5 the radius of the circle is blank units
photoshop1234 [79]

Answer:

The radius of the circle is 5 units

Step-by-step explanation:

Given in the question,

centered point = (-3 , 2)

a point in the circle = (1,5)

To find the radius of circle we will use the circle equation

(x – h)² + (y – k)² = r²,

with the centre being at the point (h, k) and the radius being r.

Plug values in the equation

(1 – (-3))² + (5 – 2)² = r²

(1+3)² + (3)² = r²

4² + 3² = r²

25 = r²

r = √25

r = 5

7 0
2 years ago
On a coordinate grid, both point (−4, −1) and (2, 6) point are reflected across the y-axis. What are the coordinates of the refl
Alex777 [14]

Answer:

Option D. (4, −1) and (−2, 6)

Step-by-step explanation:

we know that

The rule of the reflection of a point across the y-axis is equal to

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so

Applying the rule of the reflection

(−4, −1) -----> (4, −1)

(2, 6)----- (-2, 6)

8 0
1 year ago
Read 2 more answers
Billy Jo's school is selling tickets to a Fall Festival. On the first day of ticket sales the school sold 3 adult ticket and 8 s
denis23 [38]

Answer:

Y = 6

Step-by-step explanation:

On the first day of ticket sales the school <em><u>sold 3 </u></em>adult ticket and <em><u>8 student </u></em>tickets for a <em><u>total of $72</u></em>. The school took in <em><u>$152</u></em> on the second day by selling<em><u> 7 adult tickets and 16 student tickets.</u></em> How much is a student ticket?  

Day 1: 3x + 7y = 72

Day 2: 7x + 16y = 152

This becomes a system of equations.

3x+8y=72

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3x=−8y+72

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7(-8/3 y + 24) + 16y = 152

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-8/3 y + 168 − 168 = 152 + (−168) (Add -168 to both sides)

-8/3 y = -16

(-8/3 y)/(-8/3 y) = -16/ -8/3 y (Divide both sides by (-8)/3)

<u><em>y = 6</em></u>

<em>If you wanted to keep going...</em>

Substitute 6f or y in x = (-8/3) y + 24

(-8/3) y + 24  =  (-8/3) (6) + 24

SImplify: x = 8

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<u><em></em></u>

Hope this helps! <em>♥</em>

<u><em>~A.W.E.</em></u><em>S.W.A.N~</em>

6 0
2 years ago
Joan is hiking. She wants to cover 1,600 feet. She hikes 600 feet every 3 hours.
Stella [2.4K]
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It will take Joan 8 hours to hike 1600 ft.
6 0
1 year ago
The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown. Wh
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6 0
2 years ago
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