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zhenek [66]
3 years ago
9

What is the missing constant term in the perfect square that starts with x^2+\dfrac{1}{2}xx

Mathematics
1 answer:
grandymaker [24]3 years ago
7 0

Answer:

1/16

Step-by-step explanation:

Given the expression;

x^2+\dfrac{1}{2}x

To find a constant that will make it a perfect square, we will use the square if the half of coefficient of x

Coefficient of x = 1/2

half of Coefficient of x = 1/2*(1/2)

Half of Coefficient of x = 1/4

square of the half of coefficient of x = (1/4)^2

square if the half of coefficient of x = 1/16

hence the constant that will make it a perfect square is 1/16

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MissTica
772 pounds of food. 193 times 4

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If two measurements are very close to each other, then they are ____..
erik [133]

The <em>correct answer</em> is:


B) precise


Explanation:


Precision can be broken down into two pieces:

<em>Repeatability </em>- The variation observed when the same person measures the same thing repeatedly with the same device.

<em>Reproducibility</em>: The variation observed when different people measure the same thing using the same device.


If two measurements are very close to each other, this gives repeatability. If the measurements were made by different people, this gives reproducibility.


<em>Accuracy</em>, however, describes the difference between the measurement and the thing's actual value. This would not involve getting the same result repeatedly; it would be getting the <em>correct</em> value.

6 0
3 years ago
Read 2 more answers
Subtract these polynomials.
Artist 52 [7]

Answer:

The correct answer is D. 3x² - x + 3

Step-by-step explanation:

4x² - x + 6 - (x² + 3)

= 4x² - x² - x + 6 - 3

= 3x² - x + 3

5 0
2 years ago
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the
Stolb23 [73]

Answer:

  • t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

Explanation:

<u>1) Explanation of the model:</u>

  • Given: h(t) = -16t² + 48t

  • This is a quadratic function, so the height is modeled by a patabola.

  • This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.

<u>2) Axis of symmetry:</u>

  • The axis of symmetry of a parabola is the vertical line that passes through the vertex.

  • In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)

  • In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5

<u>Conclusion</u>: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of  1. 5 s + 1.5 s = 3.0 s.

Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

8 0
3 years ago
What is the total amount of paper, glass, and plastic waste not recovered
xenn [34]

Answer:

63,630,000 tons not recovered

Step-by-step explanation:

Paper generated = 71,310,000 tons

Paper recovered = 44,570,000 tons

Glass generated = 11,530,000 tons

Glass recovered = 3,130,000 tons

Plastics generated = 31,040,000 tons

Plastics recovered = 2,550,000 tons

Total generated = 113,880,000 tons

Total recovered = 50,250,000 tons

113,880,000 - 50,250,000 = 63,630,000 tons not recovered

8 0
3 years ago
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