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3 years ago

Caleb's car used 8 gallons to travel 144 miles. How far can he travel on 20 gallons

Mathematics

1 answer:

V125BC [204]3 years ago

7 0

Answer:

He will travel 360 miles.

Step-by-step explanation:

Divide 144 by 8. Then multiply your answer by 20.

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How to evaluate -4+3/4 plzzzz!

Pachacha [2.7K]

Answer:

-13/4

Step-by-step explanation:

Look for the LCM of both which is 4. 4÷1 ×-4 which is -16

then 4 divided by 4 which is 1 then × 3 which is 3.

now (-16+3)/4 to have -13/4

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3 years ago

the circumference of a circle is a(pi) units, and the area of the circle is b(pi) square units. If a=b, what is the radius of th

xxTIMURxx [149]

Answer:

the redius is 0 unit or 1/2^(1/2) unit.

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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

19. answer this question.

Irina-Kira [14]

<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ final = original x multiplier^n

n is the number of years

Substitute the values in:

final = 3800 x 1.054^3

final = 4449.440763

The closest answer is A

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0

3 years ago

Read 2 more answers

Please i'm so dumb subtract 52 feet 2 inches - 2 1/4

vaieri [72.5K]

If I understand correctly the answer is 49 feet 11 inches

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3 years ago