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3 years ago

Write the following comparison as a ratio reduced to lowest terms. 88 quarters to 30 dollars

1 answer:

6 0

You need to find common factors. The factors of 88 are 1 and 88, 2 and 44, 4 and 22, and 8 and 11. The factors of thirty are 1 and 30, 2 and 15, and 5 and 6. The greatest common factor is 2 so the ratio is 44:15.

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What is the least common multiple of 2,6 and 15?

Alex

Answer:

LCM of 6 and 15 by Listing Multiples

Step 2: The common multiples from the multiples of 6 and 15 are 30, 60, . . . Step 3: The smallest common multiple of 6 and 15 is 30.

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3 years ago

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Find the general solution to 3y′′+12y=0. Give your answer as y=... . In your answer, use c1 and c2 to denote arbitrary constants

lozanna [386]

Answer:

$y(x)=c_1e^{2ix}+c_2e^{-2ix}$

Step-by-step explanation:

You have the following differential equation:

$3y''+12y=0$ (1)

In order to find the solution to the equation, you can use the method of the characteristic polynomial.

The characteristic polynomial of the given differential equation is:

$3m^2+12=0\\\\m^2=-\frac{12}{3}=-4\\\\m_{1,2}=\pm2\sqrt{-1}=\pm2i$

The solution of the differential equation is:

$y(x)=c_1e^{m_1x}+c_2e^{m_2x}$ (2)

where m1 and m2 are the roots of the characteristic polynomial.

You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:

$y(x)=c_1e^{2ix}+c_2e^{-2ix}$

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3 years ago

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Dmitriy789 [7]

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3 years ago

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7 10:03 AM<br>Lines 1 and m are parallel.<br>110<br>Find the measure of the angle d (use degrees).

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3 years ago

1.) There are 17 pencils in every pencil holder. How many pencils are there in 3 pencil holder?

ollegr [7]

Using unitary method :

1 pencil holder has 17 pencils

then,

3 pencil holder has 17 × 3 = 51 pencils

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2 years ago

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