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3 years ago

-300 =5x-(-8x+3) step by step

Mathematics

1 answer:

cupoosta [38]3 years ago

4 0

Answer:

x= −297 /13

Step-by-step explanation:

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Write the percent as a fraction 77.5%

zysi [14]

77.5%

Change to decimal:-

77.5 ÷ 100 = 0.775

775/1000

31/40

77.5% = 31/40

6 0

3 years ago

When x=12 y=8. find y when x=42

Ahat [919]

Answer:

$\frac{12}{8} = \frac{42}{y} \\ y = \frac{42 \times 8}{12} \\ \boxed{ y = 28}$

<h3>28 is the right answer.</h3>

4 0

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

HELP ME WITH THSI PROVLEM PLEASE MATH PROBLME

Katarina [22]

Answer:

4W=25

providing the distances from the hanger wire to the weights are equal.

Step-by-step explanation:

7 0

3 years ago

What is the inverse of function f f(x)=√x +7

taurus [48]

Answer: f⁻¹(x)=(x-7)²

Step-by-step explanation:

To find the inverse function, we want to switch the y with the x and vice versa. Then we solve for y.

$y=\sqrt{x} +7$ [switch y with x and x with y]

$x=\sqrt{y} +7$ [subtract both sides by 7]

$x-7=\sqrt{y}$ [square both sides]

$y=(x-7)^2$

Now, we know that f⁻¹(x)=(x-7)².

4 0

3 years ago