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2 years ago

Anthony uses 1/5 cup of water for every 2/5 cup of pancake mix to make pancake batter.

Mathematics

1 answer:

kifflom [539]2 years ago

6 0

Answer:

1/2 cup

Step-by-step explanation:

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Find three solutions to the equation 2x+3y=12

aleksley [76]

Answer:

if x = 3, then y = 2

if x = 0, then y = 4

if x = 6, then y = 0

3 0

2 years ago

The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

4 0

2 years ago

A string of decorative lights is 25 feet long. The first light on the string is 16 inches from the plug. The lights on the strin

joja [24]

25 feet = 25 x 12 = 300 inches

First light is at 16 inches.
300 - 16 = 284 inches

Find the rest of the bulbs:
284 ÷ 4 = 71

Total number of lights = 71 + 1 = 72

Answer 72 lights

8 0

3 years ago

Simplify<br><br> 1/4 (1-2/3)^2+1/3

tiny-mole [99]

In exact form: 13/36

in decimal form: 0.36111111...

7 0

3 years ago

Read 2 more answers

What is <br><br> 1 1/4 + 2/14

Artyom0805 [142]

Answer:

1.39285714286