Your answer is 54, the drawing is a bit wrong because I did the prime factor tree of 54 wrong, so you'd do 2 × 3 × 3 × 3 which is 54.
A publishing company is going to have 36,000 books printed. There are between 3 and 4 books out of every 6,000 printed that will
1 answer:
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<u>Answer:</u>
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<u>Step-by-step explanation:</u>
To find the equation of the line, let's first consider the points whose coordinates we have been given:
• (6, 1)
• (2, 0).
The point (2, 0) is what is called the x-intercept, which is the point where the line crosses the x-axis. This means that at this point, the y-coordinate of the line is 0.
Next, let's calculate the slope (gradient) of the line using the formula:
where:
m = gradient,
and
= points on the line.
Using the formula:
⇒
Finally, now that we have two points on the line as well as the line's slope, we can use the following formula to find the equation of the line:
You can use any of the points on the line as and
.
Using (2, 0):
⇒
Therefore the equation of the line is .
Learn more about point-slope form at:
Answer:
The relation between battery capacity and time is:
The graph is attached.
Step-by-step explanation:
We will graph the charged capacity of the battery in function of time.
The rate of charge is constant, so we can conclude the relation is linear.
At time t=0, the battery capacity is at 0.2 (or 20%).
Every minute that passes, an additional 5% percent of its capacity is charged. So we can say that at t=1, the battery capacity is 0.2+0.05=0.25 (or 25%).
We can calculate the slope of the linear function as:
Then, the relation between battery capacity and time is:
