Answer:
The midpoint of the segment is (-0.5,0.5).
Step-by-step explanation:
Midpoint of a segment:
The midpoint of a segment is given by the mean of its coordinates.
Segment with end points (4,2),(-5,-1)
x-coordinates: 4 and -5
y-coordinates: 2 and -1
x-coordinate of the midpoint:

y-coordinate of the midpoint:

The midpoint of the segment is (-0.5,0.5).
Answer:
The distance, in feet, between the strip = 12 feet.
Step-by-step explanation:
From the figure attached in relation with the question, we can deduce that crosswalk is a parallelogram where
CD/AB = CE/AE
CD = 40
CE = 50
AE = 15
Let AB = x
50x = 15 × 40
X = 12
The distance, in feet, between the strip is therefore 12 feet
Answer:
$361,223
Step-by-step explanation:
Each year, the value is multiplied by 1+5% = 1.05. After 51 years, it has been multiplied by that factor 51 times, so is now ...
$30,000×1.05^51 ≈ $361,223
Answer:
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Step-by-step explanation:
Given
In 1990; Income= $39000
In 2010; Income= $70768
Solving (a): An equation in form of f(x) = ax + b
First, we need to determine the slope, a

Taking y as income and x as year index.
When x = 0; y = 39000
When x = 20; y = 70768
Substitute these values in the above formula



Next, is to determine the formula using:

<em>Considering :When x = 0; y = 39000, we have</em>
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<em>Make y the subject of formula</em>
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<em>Express y as a function of x</em>
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Solving (b): Income in 2005
<em>In 2005, x = 15</em>
So:
becomes


Answer:
<u>The acceleration is 0.0012 meters/seconds²</u>
Step-by-step explanation:
1. Let's review the information given to answer the question correctly:
Mass = 250,000 kg
Force = 300 Newtons
2. What is the acceleration?
Based on Newton's Second Law of Motion, let's recall that:
Force = Mass * Acceleration
Acceleration = Force/Mass
Replacing with the real values, we have:
Acceleration = 300/250,0000
Acceleration = 0.0012 meters/seconds² (we can't express acceleration using Newtons/kilograms as the unit).