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Svet_ta [14]
2 years ago
5

What is the justification for the step taken from line 2 to line 3?

Mathematics
1 answer:
natima [27]2 years ago
5 0

Answer:

They subtracted 2x from both sides.

Step-by-step explanation:

They removed 2x from each side because in order to find x it will have to be removed on one side. Since 2x - 2x = 0 it is 2x is out of the equation for the right side and on the left side -2x -(-4x) = -6x which means that there is one x variable left in the equation thus making it solvable.

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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
2 years ago
Nine less than three times a number is greater than forty
pentagon [3]
Start with an equation.
Nine less... so -9
3 times a number = 3x
Greater than 40 is >40

So put together is 3x-9>40
When solving I imaging the greater than sign as an equal sign. Less confusing.
3x-9=40
3x=49
x>49/3
7 0
2 years ago
Based on the graph, what is the cyclist's speed in miles per
Aleksandr [31]
The answer is a) 16mph
8 0
2 years ago
What is 5 + 20? This is just if u need/want points.
rusak2 [61]

Answer:

25:)

Step-by-step explanation:

i need one more brainly little crown may i please have one

8 0
3 years ago
Solve the following 3+X=7​
trapecia [35]

Answer:

x = 4

Step-by-step explanation:

3 + x = 7 ( isolate x by subtracting 3 from both sides )

x = 7 - 3 = 4

3 0
1 year ago
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