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3 years ago

A 3-gallon bottle of fabric softener costs $28.92. What is the price per quart?

Mathematics

1 answer:

bixtya [17]3 years ago

8 0

Answer:

$2.41

Step-by-step explanation:

There are 4 quarts in a gallon. If there are 3 gallons that means there is 12 quarts (3x4=12) You then take $28.92 and divide it by 12, which will give you 2.40833333 and on and on, you round that to $2.41. I hope that helps!

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Question 3 Unsaved

bazaltina [42]

Answer:

Step-by-step explanation:

DE given is

y''+8y'+15y=0, y(0)=0, y'(0)=1

Take Laplace on the DE

We get

$s^2 Y(s) -sY(0) -y'(0)+8(sY(s)-y(0))+15Y(s) =0\\s^2 Y(s) -s(0) -1+8(sY(s)-0)+15Y(s) =0\\Y(s)(s^2+8s+15)-1=0\\Y(s) = \frac{1}{s^2+8s+15}$

Simplify to get

Y(s) = $\frac{1}{2}[ {\frac{1}{s+3} -\frac{1}{s+5} }]$

Take inverse

$y(t) = \frac{e^{-3t} -e^{-5t}}{2}$

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3 years ago

What is the perimeter of quadrilateral ABCD? a(-3,2) b(4,2) c(3,-3) d(-3,3)

lord [1]

Answer:

Perimeter will be = 21.6

Step-by-step explanation:

As we know the formula to get the length between two points A and B having coordinates A(x,y) and B (a,b) is

AB = √(x-a)²+(y-b)²

We will use this formula to get the lengths of all sides of the quadrilateral.

AB=√(4+3)²+(2-2)² =√7² =7

BC = √(3-4)²+(-3-2)²=√(-1)²+(-5)² = √1+25=√26 = 5.1

CD = √(3+3)²+(-3-3)² = √6²+(-6)² = √72 = 8.5

DA = √(-3+3)²+(3-2)² =√1 = 1

Since perimeter of the quadrilateral = sum of lengths of all sides

Perimeter = 7 + 5.1 + 8.5 + 1 = 21.6

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Identify the radius of the circle whose equation is x^2 + y^2 = 36.

pantera1 [17]

Answer:

radius = 6

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ←r is the radius

x² + y² = 36 ← is in this form

with r² = 36 ⇒ r = $\sqrt{36}$ = 6

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