Mathematics, 29.01.2020 02:04, kkruvc

Maureen is taking an antibiotic. the table below shows the amount of antibiotic f(t), in mg, that was present in her body after time t: t (hours) 1 2 3 4 5 f(t) (mg) 150 90 54 32.4 19.4 ken was administered 200 mg of the same antibiotic. the amount of antibiotic f(t) in his body after time t is shown by the equation below: f(t) = 200(0.976)t which statement best describes the rate at which maureen's and ken's bodies eliminated the antibiotic? maureen's body eliminated the antibiotic faster than ken's body. maureen's body eliminated the antibiotic at the same rate as ken's body. maureen's body eliminated the antibiotic at half of the rate at which ken's body eliminated the antibiotic. maureen's body eliminated the antibiotic at one-fourth of the rate at which ken's body eliminated the antibiotic.

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Maureen's body eliminated the bacteria faster then Ken's as if you multiply 150 times 0.976 you get a number larger then 90 so Ken would have eliminated 150 mg of antibiotics slower then Maureen.

answered: yasarhan2

Maureen's body eliminated the antibiotic faster than Ken's body.

Step-by-step explanation:

To find the rate at which Maureen's body uses the antibiotic, we find the percent of change. To do this, we use the formula

$\text{percent of change}=\frac{\text{amount of change}}{\text{original amount}}$

Between hour 1 and hour 2, the amount of change was 150-90 = 60. The "original amount" between these two is 150; this gives us

60/150 = 0.4

Between hour 2 and hour 3, the amount of change was 90-54 = 36. The "original amount" was 90; this give us

36/90 = 0.4

Between hour 3 and hour 4, the amount of change was 54-32.4 = 21.6. The "original amount" was 54; this gives us

21.6/54 = 0.4

Between hour 4 and hour 5, the amount of change was 32.4-19.4 = 13. The "original amount" was 32.4; this gives us

13/32.4 = 0.40

Her body had 100%-40% = 60% of the antibiotic remaining after each hour.

We can analyze Ken's function to see how much his body used. His function is of the form

f(x) = a*bˣ,

where a represents the original amount, b represents 1 + the rate of change, and x represents the amount of time.

In place of a in Ken's function, we see 200; this is the amount he was originally given.

In place of b, we see 0.976; this means we have subtracted something from 1:

1-0.976 = 0.024

Ken uses 0.024 = 2.4% of the antibiotic per hour.

Maureen uses it up more quickly.

answered: Guest

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

answered: Guest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.