Answer:
Step-by-step explanation:
The easiest way to explain this is to use slope and then writing equations for lines. The reason for that is because we are told that the production uniformly increases. That "uniform increase" is the rate of change, and since the rate of change is constant, we are talking about the slope of a line, where the rate of change is constant throughout the whole length of the line.
Create coordinates from the info given:
In the third year, 600 units were made. Time is always an x thing, so the coordinate is (3, 600). Likewise for the other bit of info. Time is always an x thing, so the coordinate is (7, 700). Applying the slope formula:
which means that 25 units per year are produced. Write the equation to find the number of units produced in any year. I used the point-slope form of a line to do this:
y - 600 = 25(x - 3) and
y - 600 = 25x - 75 so
y = 25x + 525
If we want to know the number of units in the first year, we will replace x with 1 and do the math:
y = 25(1) + 525 so
y = 550 units, choice C.
When you evaluate the function f (x) = 4 • 7 ^ x for x = -1 you get:
f (-1) = 4 * 7 ^ -1
f(-1) = 4* 1/7
f (-1) = 0.5714
The next part of the question is not clear. If it refers to the function at x = 2 then:
f (2) = 4 * 7 ^ (2)
f(2) =4*49
f (2) = 196
If it refers to it in x ^ 2
f (x ^ 2) = 4 * 7 ^ (x ^ 2)
Using proportions, it is found that it will take them 0.00248548 minutes to do one loop.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, according to their speed, in 60 minutes, they drive 300 miles. In how many minutes will they drive 20 m = 0,0124274 miles?
The <em>rule of three</em> is:
60 min - 300 miles
x min - 0.0124274 miles
Applying cross multiplication:
It will take them 0.00248548 minutes to do one loop.
More can be learned about proportions at brainly.com/question/24372153
Answer:
It is clear that the multiplication of two values in Eq A is done to get the LCM while same method is not applied for eq B .
Step-by-step explanation:
Given as :
The two statement are
A) The LCM of 5 , 13 = 65
Here The multiple of 5 = 1 × 5
And The multiple of 13 = 1 × 13
So, Applying prime factor method,
least common multiple = product of height power of all factors that occur in resolution
So, LCM = 1 × 5 × 1 × 13
i.e LCM = 65
<u>Again</u>
B) The LCM of 6 , 8 = 24
Here The multiple of 6 = 1 × 2 × 3
And The multiple of 8 = 1 × 2 × 2 × 2
i.e The multiple of 8 = 1 × 2³
So, Applying prime factor method,
least common multiple = product of height power of all factors that occur in resolution
So, LCM = 2³ × 3
i.e LCM = 24
Hence, It is clear that the multiplication of two values in Eq A is done to get the LCM while same method is not applied for eq B . Answer