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melamori03 [73]
3 years ago
13

A food company sells peas in a can that has a radius of 3.4 cm and a height of 6 cm. Which is the volume of the can? (Use 3.14 f

or π .)
Mathematics
1 answer:
Tanzania [10]3 years ago
4 0

Answer:

217.9 cm

Step-by-step explanation:

V=πr2h=π·3.42·6≈217.90087

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What are the solutions of the quadratic equation 0 = 4(x - 3)2 - 16?
erastovalidia [21]

Answer:

 x = 5, x = 1

Step-by-step explanation:

The quadratic equation 0 = 4(x - 3)2 - 16.

Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.

0 = 4(x2 - 6x + 9 ) - 16.

Using distributive property to multiply 4 by x2 - 6x + 9.

0 = 4x2 - 24x + 36 - 16.

Subtract 16 from 36 to get 20.

0 = 4x2 - 24x + 20.

4x2 - 24x + 20 = 0.

Divide both sides by 4.

x2 - 6x + 5 = 0.

To solve the equation, factor and rewrite as x2 + ax + bx + 5

a + b = -6, ab = 1(5) = 5.

a = -5, b = -1.

Rewriting x2 - 6x + 5 as

(x2 - 5x) + (-x + 5)

Factor x in the first and -1 in the second group.

x(x - 5) - (x - 5)

Factor out common term

(x - 5)(x - 1)

By solving the above, we get

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The points are:

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Using point slope equation to find equation of dotted line.

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where m represents slope of line and b represents y-intercept.

The y-intercept for the dotted line = 6 as it intersects the y-axis at (0,6)

So, the equation of line is:

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The solution of the inequality is below the dotted line, so thus it would be less than the line.

So, the inequality would be:

y

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