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3 years ago

Find the quotient of 4/20 divied by 1/5

1 answer:

8 0

When dividing anything by a fraction, it is the same as multiplying by the reciprocal(when you switch the numerator and the denominator). So dividing something by 1/5 is the same as multiplying by 5. The answer to your question is 1

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For a certain drug, the rate of reaction in appropriate units is given by Upper R prime (t )equalsStartFraction 2 Over t plus 1

Tems11 [23]

Answer:

a) 8.13

b) 4.10

Step-by-step explanation:

Given the rate of reaction R'(t) = 2/t+1 + 1/√t+1

In order to get the total reaction R(t) to the drugs at this times, we need to first integrate the given function to get R(t)

On integrating R'(t)

∫ (2/t+1 + 1/√t+1)dt

In integration, k∫f'(x)/f(x) dx = 1/k ln(fx)+C where k is any constant.

∫ (2/t+1 + 1/√t+1)dt

= ∫ (2/t+1)dt+ ∫ (1/√t+1)dt

= 2∫ 1/t+1 dt +∫1/+(t+1)^1/2 dt

= 2ln(t+1) + 2(t+1)^1/2 + C

= 2ln(t+1) + 2√(t+1) + C

a) For total reactions from t = 1 to t = 12

When t = 1

R(1) = 2ln2 + 2√2

≈ 4.21

When t = 12

R(12) = 2ln13 + 2√13

≈ 12.34

R(12) - R(1) ≈ 12.34-4.21

≈ 8.13

Total reactions to the drugs over the period from t = 1 to t= 12 is approx 8.13.

b) For total reactions from t = 12 to t = 24

When t = 12

R(12) = 2ln13 + 2√13

≈ 12.34

When t = 24

R(24) = 2ln25 + 2√25

≈ 16.44

R(12) - R(1) ≈ 16.44-12.34

≈ 4.10

Total reactions to the drugs over the period from t = 12 to t= 24 is approx 4.10

3 0

3 years ago

The number 312 lies between the perfect cubes

dusya [7]

Answer:

The number 312 lies between the perfect cubes 216 and 343.

So the cube root of 312 lies between the number 6 and 7.

This means that the cube root of 312 is an irrational number because it is not a perfect cube root.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

What is the vertex of the graph of the function below? y = x2 - 8x + 12 A. (-2, 0) B. (-4, -4) C. (-4, 0) D. (-2, -4)

mario62 [17]

To find the vertex of the parabola, we need to write it in a vertex form.

y=x² - 8x +12

1) complete the square

y=x² - 8x +12
y = x² -2*4x + 4² - 4² +12
y=(x-4)² -16 +12

2) calculate and write a vertex
y=(x-4)² -16 +12
y=(x-4)² - 4

(x-4) ----- x- coordinate of the vertex x=4
y=(x-4)² - 4 -------y- coordinate of the vertex y = - 4

Vertex is (4, -4).
Answer is (4, -4). No correct answer is given in choices.