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3 years ago

Question 5 of 5

Mathematics

1 answer:

PIT_PIT [208]3 years ago

4 0

Answer: 1/4 cups

Step-by-step explanation:

6 - 3 3/4 - 2

= 1/4

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Can you please help me with this?

77julia77 [94]

Answer:

first one i believe

Step-by-step explanation:

3 0

3 years ago

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

This rectangle has side lengths r and s.

quester [9]

Gghhdwbfwbfwbfwbfebfwbwfbfwbqd

7 0

3 years ago

PLS HELP ASAP PLZ PLZ PLZ

KIM [24]

I am unsure about the very last problem but I can help with the first two

1) (y+1)+4

If we combine the numbers 1 and 4, we get +5 and can isolate the numbers from the variable.

This would give us

$y + 5 =$

2) (6*r)*7

remember that we do not have to explicitly state 6*r

Instead, we can write it as 6r

this helps us get rid of the parentheses

now we can write it as $6r * 7=$

I hope this helps!:)

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3 years ago

PLEASE HELP !!!!!!! For what value of x is line m parallel to line n? Enter your answer in the box. x = Line m is parallel to li

Sonja [21]

Answer:

$x=10$