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2 years ago

If 6, 18 and 24 are in proportion, which one is the third proportional number ?

Mathematics

1 answer:

Goshia [24]2 years ago

4 0

Answer:

Step-by-step explanation:

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The regular price of a baseball hat is 14.45$. If Carlos buys the baseball hat on sale for 20% off the regular price, how much c

otez555 [7]

Answer:

$8.44

Step-by-step explanation:

To find the 20%

x/14.45=20/100

14.45×20=289

289÷100=2.89

We then subtract 2.89 from 14.45 to get the selling price.

14.45-2.89=11.56

$11.56 is the price of the baseball hat on sale.

To get the change

20-11.56=8.44

$8.44 is the change

I hope this helped! :)

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2 years ago

Solve the following differential equation: y" + y' = 8x^2

PtichkaEL [24]

Answer:

$y=y_p+y_h = \frac{8}{3}x^3-8x^2+16x+ C_1 + C_2e^{-x}$

Step-by-step explanation:

Let's find a particular solution. We need a function of the form $y= ax^3+bx^2+cx+d$ such that

$y'= 3ax^2+2bx+c$ and

$y''= 6ax+2b$

$y'+y''= 3ax^2+2bx+c+6ax+2b = 3ax^2+x(2b+6a)+(c+2b) = 8x^2$

then, 3a= 8, 2b+6a =0 and c+2b = 0. With the first equation we obtain

a = 8/3 and replacing in the second equation 2b+6(8/3) = 2b + 16 = 0. Then, b = -8. Finally, c = -2(-8) = 16.

So, our particular solution is $y_p= \frac{8}{3}x^3-8x^2+16x$ .

Now, let's find the solution $y_p$ of the homogeneus equation $y''+y'=0$ with the method of constants coefficients. Let $y=e^{\lambda x}$

$y'=\lambda e^{\lambda x}$

$y''=\lambda^2e^{\lambda x}$

then $\lambda e^{\lambda x}+\lambda^2 e^{\lambda x} = 0$

$e^{\lambda x}(\lambda +\lambda^2)= 0$

$(\lambda +\lambda^2)= 0$

$\lambda (1+\lambda)= 0$

$\lambda =0$ and $\lambda)= -1$ .

So, $y_h = C_1 + C_2e^{-x}$ and the solution is

$y=y_p+y_h =\frac{8}{3}x^3-8x^2+16x+ C_1 + C_2e^{-x}$ .

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2 years ago

What are the steps for using integer tiles to evaluate the expression 45 divided by 15

Goryan [66]

The answer is B. Hope you get it.

6 0

3 years ago

Read 2 more answers

801 round to the nerest ten

jolli1 [7]

801 rounded to the nearest ten would be 811

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3 years ago

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23.7-2.5x8= Work out

Lubov Fominskaja [6]

Answer:

23.7 -2.5 X 8 = 23.7 - 20

= 3.7

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3 years ago

If 6, 18 and 24 are in proportion, which one is the third proportional number ? ​

If 6, 18 and 24 are in proportion, which one is the third proportional number ?