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3 years ago

MATH math can you help me pls

Mathematics

2 answers:

Alexxandr [17]3 years ago

7 0

Answer: A = k =250

B= y,x=0.5

Step-by-step explanation: Find the constant of variation.

hichkok12 [17]3 years ago

7 0

Answer:

A=250

B=x,y=0.5

Step-by-step explanation:

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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

Help me solve this I wil give brainliest and 40 points

Verizon [17]

Answer:

Slope: $-\dfrac{1}{2}$

Equation: $y=-\dfrac{1}{2}x+8$

Step-by-step explanation:

The line of the best fit passes through the points (0,8) and (4,6).

If the line passes through the points $(x_1,y_1)$ and $(x_2,y_2)$ then the slope of the line is

$\dfrac{y_2-y_1}{x_2-x_1}$

Hence, the slope of the line of the best fit is

$\dfrac{6-8}{4-0}=\dfrac{-2}{4}=-\dfrac{1}{2}$

The equation of the line is

$y=mx+b,$

where m is the slope and b is y-intercept, so the equation of the line of the best fit is

$y=-\dfrac{1}{2}x+8$

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3 years ago

Due to manufacturing error, three cans of regular soda were accidentally filled with diet soda and placed into a 24 pk. Suppose

Goryan [66]

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3 years ago

3 times the sum of 1/3 of a number and 8 is 11

Bumek [7]

3(1/3x + 8) = 11
x + 24 = 11
x = 11 - 24
x = - 13

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3 years ago

In a building that is 854 ft tall, a serial killer at a height of 858.7 ft took a shot at unsuspecting victim who was located 10

UNO [17]

Answer:109.20

Step-by-step explanation:simple answer son

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3 years ago