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3 years ago

Please help thank you

Mathematics

1 answer:

kompoz [17]3 years ago

3 0

Answer:

Step-by-step explanation:

Jared wrote the equation as,

k + (k + 1) + (k + 2) = 4k

Solution for k will be,

3k + 3 = 4k

4k - 3k = 3

k = 3

For k = 3, consecutive numbers will be → 3, 4, 5

Jared did not get the correct answer.Solution to this equation is k = 3, giving 3, 4, and 5 as three integers. However, 3 and 5 are not even integers. He should have used the equation k + (k + 2) + (k + 4) = 4k, which gives k = 6 and the correct answer is 6, 8, 10.

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Test the four possible vertices that you found in the objective function in part A. Use those values to determine which set of v

irga5000 [103]

The testing of the four vertices of the objective function gives;

C(5, 0, 55) = 430

C(5, 30, 25) = 400

C(15, 30, 15) = 420

C(45, 0, 15) = 510 (maximum)

<h3>How to test objective functions?</h3>

The objective function is seen as attached.

Now, it is noticed that just two of the vertices are listed. The other two vertices are intersections of x + y + z = 60 with x = 5 and the constraints on y.

We will assume that; 0 ≤ y ≤ 30

Thus, the missing vertices are;

(x, y, z) = (5, 0, 55) and (5, 30, 25)

The two given vertices are;

(x, y, z) = (15, 30, 15) and (45, 0, 15)

Therefore, the objective function values are;

C(5, 0, 55) = 9·5 +6·0 +7·55 = 45 +0 +385 = 430

C(5, 30, 25) = 9·5 +6·30 +7·25 = 45 +180 +175 = 400

C(15, 30, 15) = 9·15 +6·30 +7·15 = 135 +180 +105 = 420

C(45, 0, 15) = 9·45 +6·0 +7·15 = 405 +0 +105 = 510

Read more about Objective Functions at; brainly.com/question/16826001

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1 year ago

For each shape in the table, list three examples of real-world objects that could be modeled by the shape. Use your experiences,

marishachu [46]

Interesting question. Let's see.

Rectangular Prism: any box (like a shoe box or a packing box).

Triangular Prism: We're not supposed to give personal answers, but I can't help it with this. When I was growing up, our front door's window had a triangular prism beveled around its edges. What made it so remarkable was that it broke up the light into a rainbow of colors on the floor.

Cylinder. Many drinking glasses are in the shape of a cylinder. Also old fashioned water towers were cylindrical in shape.

Cone: a kitchen funnel is an upside down cone. Some funnels don't have a spout, so that makes them true cones.

Pyramid: The pyramids for the Pharaohs in Egypt.

Sphere: Any ball (beach ball, baseball basketball soccer. Some storage shapes for spices -- technically not a perfect sphere). Planets. The sun. (The earth is almost a perfect sphere).

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3 years ago

If the volume of a cube is 729cm^3, what is the surfface area.<br><br> Thanks!!

bezimeni [28]

Answer:

486cm^2

Step-by-step explanation:

cube volume: 729cm^3

cube faces count: 6

How you calculate square area:

s(cm) * s(cm) or just s^2(cm^2)

s = side length

If you want to find out the side length of a cube by its volume. Then simply just remove the ^3 by taking the cubic root (also written ^(1/3))

729^(1/3) = 9

then just calculate the area like i showed earlier:

(9cm)^2 = 81cm^2

But that is only one side of a cube's 6 sides, so multiply by 6:

81cm^2 * 6 = 486cm^2

Hope i could help :D

Dont be scared to ask me questions..

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Georgia [21]

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3 years ago