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prohojiy [21]
2 years ago
12

Which of the following is the least reduced equivalent of 243/729?

Mathematics
1 answer:
Vladimir79 [104]2 years ago
7 0

Answer:

1/9

Step-by-step explanation:

243/729 to it's equivalent fraction is

243/729 divide numerator and the denominator by 3 = 81/243

81/243 divide numerator and denominator by 3 =27/81

27/81 divide both numerator and denominator by 3 =9/81

9/81 divide both numerator and denominator by 9 =1/9

answer = 1/9

Therefore, 243/729 reduced to it's equivalent fraction is = 1/9

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Write a verbal expression for 6m-2
katrin2010 [14]

Answer: The difference of 6 times a number m and 2

Step-by-step explanation:

The way to write this expression is:

The difference of 6 times a number m and 2.

5 0
2 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
2 years ago
A dentist wants to find out how often her patients floss their teeth. Which samples are biased? Check all that apply. all her pa
ArbitrLikvidat [17]

Answer:

all her patients patients with no cavities

patients younger than 18

every patient with braces

Step-by-step explanation:

when a sample is selected in a manner that some elements, in this case patients, of population have higher or lower probability of sampling then that sample is biased.

From given case, all the following are biased samples

all her patients patients with no cavities

patients younger than 18

every patient with braces

because they are non-random sample of a population in which all other elements were not equally likely to be chosen!

7 0
2 years ago
Read 2 more answers
Please solve (-3×+15)+(-3×+2)
koban [17]
(-3x + 15) + (-3x + 2)
Simplify by combining like terms.
-6x + 17

-6x + 17
3 0
2 years ago
Read 2 more answers
What is the quadratic regression equation that fits these data?
Tresset [83]

Answer:

the answer is a.

Step-by-step explanation:

I plugged your data into a graphing calculator, and got a quad reg in the picture.

5 0
2 years ago
Read 2 more answers
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