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vredina [299]
3 years ago
10

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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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.

3 0
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}

4 0
3 years ago
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8.49/4 = 2.1225

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Sunblock 2 costs $2.06 per ounce of sunblock.

Sunblock 2 is the better buy because it is cheaper ounce-per-ounce.

6 0
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 

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