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3 years ago

What is the greatest common factor ( gcf ) of 27 and 36?

Mathematics

1 answer:

AnnyKZ [126]3 years ago

5 0

The greatest common factor of 27 and 36 is 9.

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A shoe store is having a sale on sneakers. You want to buy a pair of sneakers

creativ13 [48]

Answer:

Hi there!

Your answer is:

$78

Step-by-step explanation:

To set up this equation:

75+ (.04× 75)

Change 4% into decimal format

75+ ( 3)

Hope this helps!

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3 years ago

Please help with one of my questions !! i’m stuck

Liono4ka [1.6K]

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2 years ago

Ann travels from Town A to Town B in 3 hours. She then takes another hour to travel from Town B to Town C. The distance from Tow

fiasKO [112]

Answer:

35 miles per hour

Step-by-step explanation:

Ann travels a total of (100 +40) = 140 miles in (3 +1) = 4 hours. Her average speed is the ratio of these:

speed = distance/time

speed = (140 miles)/(4 hours) = 35 miles/hour

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2 years ago

Find a particular solution to the nonhomogeneous differential equation y??+4y?+5y=?10x+e^(?x).

Firdavs [7]

Answer:

A) Particular solution:

$2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

B) Homogeneous solution:

$y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))$

C) The most general solution is

$y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

Step-by-step explanation:

Given non homogeneous ODE is

$y''+4y'+5y=10x+e^{-x}---(1)$

To find homogeneous solution:

$D^{2}+4D+5=0\\D^{2}+4D+4-4+5=0\\\\(D+2)^{2}=-1\\D+2=\pm iD=-2 \pm i\\y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))---(2)$

To find particular solution:

$y_{p}=Ax+B+Ce^{-x}\\\\y'_{p}=A-Ce^{-x}\\y''_{p}=Ce^{-x}\\$

Substituting $y_{p},y'_{p},y''_{p}$ in (1)

$y''_{p}+4y'_{p}+5y_{p}=10x+e^{-x}\\Ce^{-x}+4(A-Ce^{-x})+5(Ax+B+Ce^{-x})=10x+e^{-x}\\$

Equating the coefficients

$5Ax+2Ce^{-x}+4A+5B=10x+e^{-x}\\5A=10\\A=2\\4A+5B=0\\B=-\frac{4A}{5}B=-\frac{8}{5}2C=1\\C=\frac{1}{2}\\So,\\y_{p}=2x+\frac{1}{2}e^{-x}-\frac{8}{5}---(3)\\$

The general solution is

$y=y_{h}+y_{p}$

from (2) ad (3)

$y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

6 0

2 years ago

I need help please!:D

givi [52]

Answer:

a 80

Step-by-step explanation:

7200 / 90 = 80

5 0

2 years ago