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19 days ago

Joel, a tutor at the Math Help, decided that it would be a good

Mathematics

1 answer:

PIT_PIT [12.4K]19 days ago

6 0

Answer:

Joel achieved a peak height of 6 units.

Step-by-step explanation:

It appears there is an error in the equation representing Joel's jump. I will presume it should be $h(t) = -0.2*t^2 + 2*t + 1$ , as such movements are typically represented using quadratic equations. To find the maximum height Joel attained, we must determine the vertex of this equation. The vertex for a quadratic can be found using the given expression: $y(x) = a*x^2 + b*x + c$

$x_{vertex} = \frac{-b}{2*a}$

"y" can be calculated by substituting the x-coordinate of the vertex into the equation. In our case, a = -0.2, b = 2, and c = 1. The vertex calculation gives:[

$t_{vertex} = \frac{-2}{2*(-0.2)} = \frac{-2}{-0.4} = 5$

Thus, the maximum height totals:

$h(5) = -0.2*(5)^2 +2*5 + 1\\h(5) = -5 + 10 + 1 = 6$

Joel's highest point was 6 units.

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1 kilogram is equivalent to about 2.2 pounds. An orangutan weighs 142 pounds. What is its mass in kilograms? Round your answer t

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The weight of an orangutan is 64.5 kilograms

Solution:

It is stated that the orangutan's weight is 142 pounds

Additionally,

1 kilogram is approximately 2.2 pounds

We will now convert 142 pounds into kilograms

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As a result, 142 pounds translates to

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1 month ago

There is a sidewalk of width x around a rectangular garden. If the garden measures twenty-feet by thirty-feet, then the combined

PIT_PIT [12445]

Answer:

Area = 200 + 50 + x

Step-by-step explanation:

Given

Length = 20

Width = 30

Side Walk = x

Required

Find the total area.

To find this, we have to add the length of the sidewalk to the dimensions of the garden.

This results in:

Length = 20 + x.

Width = 30 + x

So, the area now becomes.

Area = (20 + x)(30 + x)

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10 days ago

2. Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements

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The complete question reads:

Peter created two rays, AC and AP, sharing a common vertex at point A. Which of the following statements

might accurately describe Peter's drawing?

I. AC and AP are parallel.

II. PAC represents an angle.

III. AC and AP are at right angles.

A. I and II

B. II and III

C. I and III

D. I, II, and III

Answer:

Option B: II & III

Step-by-step explanation:

We know Peter has drawn rays AC and AP.

Since the point A is shared as the endpoint, it indicates an angular relationship at this common point.

This angle could potentially be 90°, suggesting that rays AC and AP may be perpendicular.

Thus, the valid statements that characterize his drawing are: II & III.

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