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shusha [124]
3 years ago
12

Find solution to initial value problem: y'' +4y' +7y = 0; y(0) = 1, y'(0) = -2

Mathematics
1 answer:
rusak2 [61]3 years ago
4 0
Try this option, modify design according to local requirements.

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Write 0.216 as a rational number in lowest terms
lozanna [386]

Answer:

=\frac{27}{125}

Step-by-step explanation:

0.216

\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}

\mathrm{There\:are\:}3\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\:therefore\:multiply\:and\:divide\:by\:}1000

=\frac{0.216\cdot \:1000}{1000}

=\frac{216}{1000}

216,\:1000

\mathrm{The\:GCD\:of\:}a,\:b\mathrm{\:is\:the\:largest\:positive\:number\:that\:divides\:both\:}a\mathrm{\:and\:}b\mathrm{\:without\:a\:remainder}

2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}

=2\cdot \:2\cdot \:2\cdot \:3\cdot \:3\cdot \:3

2,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}

=2\cdot \:2\cdot \:2\cdot \:5\cdot \:5\cdot \:5

\mathrm{The\:prime\:factors\:common\:to\:}216,\:1000\mathrm{\:are\:}

=2\cdot \:2\cdot \:2

\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2\cdot \:2=8

=8

=\frac{8\cdot \:27}{8\cdot \:125}

\mathrm{Cancel\:the\:common\:factor:}\:8

=\frac{27}{125}

Hence, the correct answer is =\frac{27}{125}

6 0
2 years ago
Need help with this questions
leva [86]
1. Total
2. Deficit
( hope this helps)
4 0
4 years ago
Which of the following points is the greatest distance form y -axis a.2,7 b.3,5 c.4,3 d.5,1
ohaa [14]

Answer:

D

Step-by-step explanation:

It's d because it has the highest x value. The higher x value is the farther it is from the y-axis

7 0
3 years ago
What is the radius for the circle given by the equation (x - 2)^2 + y^2 = 14?
Anarel [89]

Easily, take the square root of the number in the right side to find the radius

\sqrt{14}

is the answer

7 0
2 years ago
Multiply. Write your answer as a fraction in simplest form.<br> Three divided by sixteen times six
emmasim [6.3K]
1.125 as a decimal. The reason is because I asked a computer
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3 years ago
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