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3 years ago

F(j)=6j+5. Find f(1/3)

Mathematics

2 answers:

Verdich [7]3 years ago

8 0

F(1/3)=6*(1/3)+5
f(1/3)=3+5
f(1/3)=7

photoshop1234 [79]3 years ago

7 0

Answer:

f(j)=6j+5

f(1/3)=6*(1/3)+5

=2+5

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A canoe requires 8 hours of fabrication and a rowboat 5 hours. The fabrication departments has at most 107 hours of labor availa

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Answer: A

Step-by-step explanation: Canoe → 8h →X

Rowboat → 5h → Y

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This way, the amount of time to fabricate X canoes = 8X plus the amount of time to fabricate Y Rowboat = 5Y must be less than 107.

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A piece of wire of length L will be cut into two pieces, one piece to form a square and the other piece to form an equilateral t

inn [45]

Answer:

(a) square: L; triangle: 0.

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Step-by-step explanation:

<u>Strategy</u>: First we will write each area in terms of its perimeter. Then we will find the total area in terms of the amount devoted to the square. Differentiating will give a way to find the minimum total area.

In terms of its perimeter p, the area of a square is ...

A_square = p^2/16

In terms of its perimeter p, the area of an equilateral triangle is ...

A_triangle = p^2/(12√3)

Then the total area of the two figures whose total perimeter is L with "x" devoted to the square is ...

A_total = x^2/16 + (L-x)^2/(12√3)

(a) We know when polygons are regular, the one with the most area for the least perimeter is the one with the most sides. Hence, the total area is maximized when all of the wire is devoted to the square.

(b) The derivative of A_total with respect to x is ...

dA/dx = x/8 -(L-x)/(6√3)

This will be zero when ...

x/8 = (L-x)/(6√3)

x(6√3) = 8L -8x

x(8 +6√3) = 8L

x = L·8/(6√3 +8) = 8L(6√3 -8)/(64-108)

x = L·(12√3 -16)/11

The total area is minimized when L·(12√3 -16)/11 is devoted to the square, and the balance is devoted to the triangle.

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3 years ago

What is the diameter, circumference, and area of a circle that has the radius of 7?

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Answer:

the diameter is: 14

the circumference is: C≈43.98

the area is: A≈153.94

Step-by-step explanation:

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3 years ago

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Pepsi [2]

Answer: They can order from 0 to 449 bars, but no more.

Step-by-step explanation:

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Alex Ar [27]

Y=3.6x is direct variation. The constant is 3.6
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3 years ago