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lord [1]
3 years ago
15

I missed this lesson someone pleaseeee help

Mathematics
1 answer:
Simora [160]3 years ago
7 0
For the domain
3-x >= 0
3 >= x
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The dye dilution method is used to measure cardiac output with 3 mg of dye. The dye concentrations, in mg/L, are modeled by c(t)
Lemur [1.5K]

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

A = 3 mg

\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

4 0
3 years ago
What is the surface area of the triangular prism?
Elanso [62]

Answer:

135 square feet

Step-by-step explanation:

area of base and top=2(1/2×6×2.5)=15 square feet.

area of three faces=(2.5+6+6.5)×8=15×8=120 ft

total surface area=15+120=135 square feet.

4 0
2 years ago
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What is the quotient of 5/6÷3/4?
Nitella [24]

Answer:

20/18

Step-by-step explanation:

3 0
2 years ago
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Y=3x+6 complete with the table
Mama L [17]

Answer:

y=3,6,9,12,15

Step-by-step explanation:

Y=3x+6

y=3(-1)+6

y=3

y=3(0)+6

y=6

y=3(1)+6

y=9

y=3(2)+6

y=12

y=3(3)+6

y=15

3 0
3 years ago
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Helpppppppp pleaseee
In-s [12.5K]

Answer:

Dezias' pensil is 5.11-1.09=4.02 inches long

Paul's pencil is 4.02+2.05=6.07 inches long

Miguel's pencil is 5.11+1.75=6.86 inches long

Combined are 5.11+4.02+6.07+6.86=22.06

The fraction is 22.06/12=1.8383333...

3 0
3 years ago
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