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Anton [14]
3 years ago
10

Noah is deciding which of 2 juice containers he should buy. One container is in the shape of a cylinder with radius 3.5 centimet

ers and height 12.5 centimeters. The second container is in the shape of a rectangular prism. The prism also has height 12.5 centimeters. Its length is 6.4 centimeters and its width is 4 centimeters.
Which juice container has the larger volume?
Mathematics
1 answer:
Gelneren [198K]3 years ago
8 0

Answer: The second container.

Step-by-step explanation: The second container because its a 3 dimensional figure. The first container only contains a radius and height. Thats only two measurments. The second container contains three measurments. Width, legnth, and height.

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The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph te
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Answer:

  C.  <em>c</em> is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

<h3>Function transformation</h3>

The transformation of the parent function y=x^(1/n) into the function ...

  f(x) = a(x +k)^(1/n) +c

represents the following transformations:

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<h3>Application</h3>

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

  • k = 3
  • c = -4

The graph says the value of c is less than zero.

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<em>Additional comment</em>

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

  f(x) = 2(x +3)^(1/3) -4

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Answer:

[see below]

Step-by-step explanation:

I am assuming that you mean: y-3=4(x-2).

The equation is in point slope form...

y-y_1=m(x-x_1)

The point used in the equation is (2, 3). 2 replaces 'x1' and 3 replaces 'y1'.

If you convert the equation in to slope intercept form:

y-3=4(x-2)\\\\y-3=4x-8\\\\y-3+3=4x-8+3\\\\\boxed{y=4x-5}

You get -5 as the y-intercept.

So, the line you draw would pass through points (2,3) and (0,-5).

Hope this helps.

3 0
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