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3 years ago

Simplify 3x + 2(x - 7) + 11

Mathematics

2 answers:

astraxan [27]3 years ago

7 0

Answer:

5x-3

Step-by-step explanation:

3x + 2x - 14 + 11 (Multiply the numbers inside the bracket)

5x-3

This is your answer

OleMash [197]3 years ago

4 0

Answer:

5x-3

Step-by-step explanation:

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Wanda has three times more shirts than her brother, Will. The equation a = 3b, where a represents the number of shirts Wanda has

marusya05 [52]

Answer:

8 shirts

Step-by-step explanation:

Given the equation a = 3b, where

a = the number of shirts Wanda has

b = the number of shirts Wanda's brother (Will) has

Hence if Wanda has 24 shirts then

24 = 3b

Divide both sides by 3

24/3 = b

b = 8 shirts

Will has 8 shirts.

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3 years ago

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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: $F=0.055 L\s$

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3 years ago

Please help I don't understand

aniked [119]

Answer:

The expression can be written as:

5(2) + 6(3) + 2(4).

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2 years ago

Given that G(x) = 5/2 * x - 7/2 what is x if G(x) = 39 Show your work.

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Answer:

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Step-by-step explanation:

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3 years ago

Randell earns $8 per hour at his job. if he works more than 40 hours, he earns 1 1/2 times his normal hourly rate. if Randall wo

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3 years ago

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