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Semmy
12 days ago
13

Yao Xin puts 3/10 liters of potting soil in each pot for planting flowers. She has 17/3 liters of potting soil. How many pots ca

n Yao Xin fill?
Mathematics
1 answer:
babunello [8.4K]12 days ago
4 0

In this scenario, we'll define the following variables:

x: total volume of potting soil in liters.

y: quantity of potting soil allocated to each pot in liters.

To determine the number of pots, we can use the expression:

N = \frac{x}{y}

Substituting in the respective values yields:

N = \frac{\frac{17}{3}}{\frac{3}{10}}

Reformatting gives us:

N = \frac{170}{9}

N = 18.8

When rounding down to the nearest whole number, we find:

N = 18

The conclusion is:

Yao Xin is capable of filling 18 pots.

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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)
lawyer [9240]

Answer:

Cardiac output:F=0.055 L\s

Step-by-step explanation:

Details: The cardiac output is assessed using the dye dilution technique with 3 mg of dye.

Goal: To determine the cardiac output value.

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Cardiac output formula: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

Utilize 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}

Insert the value into 1

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

Cardiac output:F=0.055 L\s

Consequently, Cardiac output:F=0.055 L\s

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18 days ago
mr lippman bought a dryer for 160 bucks and sold it for 240 bucks. if overhead expenses were 20% of the selling price, what was
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Begin by determining the overhead costs. The selling price was $240. To calculate 20% of 240, multiply 240 by 0.20, yielding 48. Consequently, the overhead expenses total $48. To figure out the profit, subtract total expenses from the selling price. Mr. Lippman's selling price was $240, he paid $160 for the dryer, and incurred $48 in overhead expenses. Thus, 240 - 160 - 48 equals 32. Therefore, the profit is $32. To determine the profit rate, divide the profit by the total expenses. 32 / (240 + 160) results in 0.08. Hence, the profit rate is 8%.
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