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3 years ago

Simplify 3^2 - (1 - ( 11/2))

Mathematics

1 answer:

Alex3 years ago

8 0

Answer:

Exact Form:

27/2

Decimal Form:

13.5

Mixed Number Form:

13 1/2

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Is the square root of 23 rational or irrational

skelet666 [1.2K]

It is irrational because it’s not terminating (please hit “thanks”

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3 years ago

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Tyrese wants to buy baseball cards. They cost $5.00 per pack. There is a 25% discount before tax if 10 or more packs are purchas

irga5000 [103]

Answer:

72.225 $

Step-by-step explanation:

The price per pack: 5.00 $

When the amount of packs is > 10 :

90 % * 5 $ = 4.50 $ before tax.

The price of 15 packs:

4.50 $ * 15 = 45 + 22.5 = 67.5 $ before tax.

After tax:

107 % * 67.5 $ = 72.225 $ after tax.

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3 years ago

The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section

lisabon 2012 [21]

Answer:

$\therefore y_2(x)=-\frac{e^{-6x}}{8}$

The general solution is

$y=c_1e^{2x}-c_2.\frac{e^{-6x}}{8}$

Step-by-step explanation:

Given differential equation is

y''-4y'+4y=0

and $y_1(x)=e^{2x}$

To find the $y_2(x)$ we are applying the following formula,

$y_2(x)=y_1(x)\int \frac{e^{-\int P(x) dx}}{y_1^2(x)} \ dx$

The general form of equation is

y''+P(x)y'+Q(x)y=0

Comparing the general form of the differential equation to the given differential equation,

So, P(x)= - 4

$\therefore y_2(x)=e^{2x}\int \frac{e^{-\int 4dx}}{(e^{2x})^2}dx$

$=e^{2x}\int \frac{e^{-4x}}{e^{4x}}dx$

$=e^{2x}\int e^{-4x-4x} \ dx$

$=e^{2x}\int e^{-8x} \ dx$

$=e^{2x}. \frac{e^{-8x}}{-8}$

$=-\frac{e^{-6x}}{8}$

$\therefore y_2(x)=-\frac{e^{-6x}}{8}$

The general solution is

$y=c_1e^{2x}-c_2.\frac{e^{-6x}}{8}$

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3 years ago

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8.49/4 = 2.1225

Sunblock 1 costs $2.12 per ounce of sunblock.

10.29/5 = 2.058

Sunblock 2 costs $2.06 per ounce of sunblock.

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3 years ago

Allison has a poster that is 15 in by 18 in. What will the dimensions of the poster be if she scales it down by a factor of one-

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The dimensions will be 5 in by 6 in

you would divide the numbers by 3 and thats what u would get
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