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SIZIF [17.4K]
3 years ago
11

Before tax, the price of fuels $3.40 per liter.

Mathematics
1 answer:
Klio2033 [76]3 years ago
8 0
The answers is 123.76 dollars
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A brick of mass 4 kg hangs from the end of a spring. When the brick is at rest, the spring is stretched by 3 cm. The spring is t
Zielflug [23.3K]

Answer:

Step-by-step explanation:

In this system we have the force of the spring and the gravitational force. The equation that describes that is

F_{s}+F{g}=ma\\k(y_0+y)-mg=ma

where y0 is the equilibrium position when the string is free and y0+y is the new equilibrium position when the object is hanged of the string. By replacing by derivatives we have

ky_0+ky-mg=ma\\mg+ky-mg=ky=ma\\\\ky=m\frac{d^2y}{dt^2}\\\\my''+ky=0

the solution for this differential equation is (by using the characterisic polynomial)

y(x)=Acos(kt)+Bsin(kt)\\k=\omega^2m

hope this helps!!

7 0
3 years ago
Read 2 more answers
QUICK! WHAT IS THIS ANSWER?
FromTheMoon [43]

Answer:

a)2x-3y

b)4(9a-4)

Step-by-step explanation:

<h3>a)</h3>

we want to expand the following expression:

\displaystyle -   \frac{1}{4} ( - 8x + 12y)

well to do so we consider distributive property thus distribute:

\displaystyle -   \frac{1}{4} (- 8x )+  -  \frac{1}{4}( 12y)

reduce fraction which yields:

\displaystyle -   \frac{1}{4} (- 8x )+  -  \frac{1}{4}( 12y) \\  \\  \displaystyle 2x + ( - 3y)

simplify Parentheses:

\displaystyle \boxed{ 2x - 3y}

<h3>b)</h3>

in the expression there's a common factor of 4 therefore factor it out:

\displaystyle 9.4a - 4.4 \\  \\  \displaystyle   \boxed{4(9a - 4)}

3 0
3 years ago
Bobby is dividing 50 feet below sea level at the beach. His sister is at the swimming pool deck, which is 15 feet above sea leve
Anettt [7]

Answer:

35

Step-by-step explanation:

Bobby is at negative 50 and his sister is above 15 feet (positive) so it is 35

4 0
3 years ago
Please help, seriously confused
Rufina [12.5K]
Original height = original width = x mm

1. She made an enlarged copy...
height = 2x
width = 2x

2. She cut off a rectangle...
height = 2x
width = \frac{2}{3} *2x= \frac{4}{3}x

3.She doubled the width...
height = 2x
width = 2*\frac{4}{3}x = \frac{8}{3}x

height * width = area

2x * \frac{8}{3}x=139 \ 968  \\ \\ \frac{16}{3}x^2= 139 \ 968 \\\\ x^2=139 \ 968: \frac{16}{3}=139 \ 968 * \frac{3}{16}=  8 \ 748*3 = 26 \ 244 \\  \\ x= \sqrt{26 \ 244} = 162 \ mm

Original height was 162 mm 
6 0
3 years ago
Compare and contrast multiplication prop of equality and inequality
Alex

Answer:

Difference between multiplication property of equality and inequality

The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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