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Juliette [100K]
3 years ago
11

Given that P = x + y . Find P when: x = 20 and y = − 24 P = ?

Mathematics
1 answer:
mr_godi [17]3 years ago
6 0

Answer:

P = -4

Step-by-step explanation:

Assuming that x = 20 and y = 24, you have to plug in these numbers for x and y to get to this equation P = 20 - 24.  You should get -4 when you subtract 24 from 20 giving you a negative answer.

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Consider the following equations. f(x) = − 4/ x3, y = 0, x = −2, x = −1. Sketch the region bounded by the graphs of the equation
Sindrei [870]

Answer:

1.5 unit^2

Step-by-step explanation:

Solution:-

- A graphing utility was used to plot the following equations:

                         f ( x ) = - \frac{4}{x^3}\\\\y = 0 , x = -1 , x = -2

- The plot is given in the document attached.

- We are to determine the area bounded by the above function f ( x ) subjected boundary equations ( y = 0 , x = -1 , x = - 2 ).

- We will utilize the double integral formulations to determine the area bounded by f ( x ) and boundary equations.

We will first perform integration in the y-direction ( dy ) which has a lower bounded of ( a = y = 0 ) and an upper bound of the function ( b = f ( x ) ) itself. Next we will proceed by integrating with respect to ( dx ) with lower limit defined by the boundary equation ( c = x = -2 ) and upper bound ( d = x = - 1 ).

The double integration formulation can be written as:

                           A= \int\limits_c^d \int\limits_a^b {} \, dy.dx \\\\A = \int\limits_c^d { - \frac{4}{x^3} } . dx\\\\A = \frac{2}{x^2} |\limits_-_2^-^1\\\\A = \frac{2}{1} - \frac{2}{4} \\\\A = \frac{3}{2} unit^2

Answer: 1.5 unit^2 is the amount of area bounded by the given curve f ( x ) and the boundary equations.

Download docx
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3 years ago
6. What is the volume of the rectangular prism below?
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Answer:

Step-by-step explanation:

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Step-by-step explanation:

The answer is 108. Because you multiply 3 by 9. which is 27 then you multiply 27 by 4 because thats how many 3zs there are.

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3 years ago
Apply the distributive property to create an equivalent expression.
Amanda [17]

The distributive property: a(b + c) = ab + ac


(-7c + 8d)0.6 = (-7c)(0.6) + (8d)(0.6) = -4.2c + 4.8d

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4 years ago
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