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4 years ago

Find prime numbers of 12

Mathematics

1 answer:

Marina86 [1]4 years ago

5 0

The only answer is 2,3 because 12 is a <span>composite</span> number

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Please answer 100 pt

viktelen [127]

Answer:

corresponding angle are:

<1=<5

<2=<6

<7=<3

<8=<4

<u><1&<5,<2&<6,<7&<3,<8&<4are pair corresponding angle.</u>

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3 years ago

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Hi please help this is due today thank u so much.

KatRina [158]

Answer: 8.944272

Step-by-step explanation:

Distance formula

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3 years ago

Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the

Triss [41]

Answer:

1.05(0.85y)

Step-by-step explanation:

15% off so .85y and a 5% tax so 1.05(.85y)

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3 years ago

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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

3 years ago

20 pts, try to find short story and novel pages, A novel has 13 times as many pages as a short story. The combined number of pag

brilliants [131]

Answer:

short story has 32 pgs

novel has 416 pgs

Step-by-step explanation:

a novel (N) has 13 times as many pages as a short story (x) so, N = 13X

total pages is the equation N + x = 448

plug the equation for N into this

13x + x = 448, combine like terms

14x = 448, divide both sides by 14

x = 32. so now we know that the short story has 32 pages. subtract that from 448. and the novel has 416 pages.

8 0

3 years ago