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MrMuchimi
3 years ago
8

Please help with these math problems thank you

Mathematics
1 answer:
makvit [3.9K]3 years ago
6 0

A.

x/7 + x/7 =4

Calculate the sum

2/7x=4

multiply both sides of the equation by 7/2

x=14

b. 2x/3 - x/3 =4

Multiply both sides of the equation by 3

2x-x=12

collect like terms

x=12

c. 4x/5 - 2x/5 =7

Multiply both sides of the equation by 5

4x-2x=35

Collect like terms

2x=35

Divide both sides of the equation by 2

x= 35/2

d. x/6 + x/4 =3

Multiply both sides of the equation by 12

2x+3x=36

Collect like terms

5x=36

Divide both sides by five

x = 36/5

e. -x/-5 + x/4 =2

Multiply both sides by 20

-4x+5x=40

Collect like terms

x=40

f. x/3 - x/6 = 5

Multiply both sides by six

2x-x=30

Collect like terms

x=30

hope this helps!!

~lyndee

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Answer:

Cardiac output:F=0.055 L\s

Step-by-step explanation:

Given : The dye dilution method is used to measure cardiac output with 3 mg of dye.

To Find : Find the cardiac output.

Solution:

Formula of cardiac output:F=\frac{A}{\int\limits^T_0 {c(t)} \, dt} ---1

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\int\limits^T_0 {c(t)} \, dt =\int\limits^{10}_0 {20te^{-0.06t}} \, dt

Do, integration by parts

[\int{20te^{-0.6t}} \, dt]^{10}_0=[20t\int{e^{-0.6t} \,dt}-\int[\frac{d[20t]}{dt}\int {e^{-0.6t} \, dt]dt]^{10}_0

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20}{0.6}\int {e^{-0.6t} \,dt]^{10}_0

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20e^{-0.6t}}{(0.6)^2}]^{10}_{0}

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-200e^{-6}}{0.6}+\frac{20e^{-6}}{(0.6)^2}]+\frac{20}{(0.60^2}

[\int{20te^{-0.6t}} \, dt]^{10}_0=\frac{20(1-e^{-6}}{(0.6)^2}-\frac{200e^{-6}}{0.6}

[\int{20te^{-0.6t}} \, dt]^{10}_0\sim {54.49}

Substitute the value in 1

Cardiac output:F=\frac{3}{54.49}

Cardiac output:F=0.055 L\s

Hence Cardiac output:F=0.055 L\s

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