The Lawn Order lawnmower factory can produce 10 lawnmowers in 7 hours. How many hours will it take to factory to produce 30 lawn
1 answer:
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Answer:
Electric car = Exponential function (decreasing cost)
Gasoline car = Exponential function (increasing cost)
Step-by-step explanation:
The given data the Electric car, we have;
Time (years) Cost (thousands of dollars)
0 35
5 27
10 21
15 16
20 12.5
The difference between successive term is such that each term decreases by approximately the same percentage given as follows
1st and 2nd term (35 - 27)/35 × 100 ≈ 22.8571% decrease
2nd and 3rd term (27 - 21)/27 × 100 ≈ 22.222% decrease
3rd and 4th term (21 - 16)/21 × 100 ≈ 23.81% decrease
4th and 5th term (16 - 12.5)/16 × 100 ≈ 21.875% decrease
Therefore. the electric car is best approximated by exponential function
The given data the Gasoline car, we have;
Time (years) Cost (thousands of dollars)
0 35
5 40.2
10 46.3
15 53.2
20 61.2
The difference between successive term is such that each term increases by approximately the same percentage given as follows
1st and 2nd term (40.2 - 35)/35 × 100 ≈ 14.857% decrease
2nd and 3rd term (46.3 - 40.2)/40.2 × 100 ≈ 15.174% decrease
3rd and 4th term (53.2 - 46.3)/46.3× 100 ≈ 14.9% decrease
4th and 5th term (61.2 - 53.2)/53.2× 100 ≈ 15.03% decrease
Therefore. the Gasoline car is best approximated by exponential function
Answer:
Hence the maximum possible volume will be the 778.53 c.c
Step-by-step explanation:
Given:
A rectangle with 13 x 26 dimensions
And corners are cut to form side squares.
To Find:
Maximum possible volume for box
Solution :
Consider a rectangle of 13 x 26 dimension with and side of square at corner be x.
(Refer the attachment)
Now,
Formulating the volume equation for the box
So corner square sides we are going to fold up which makes height of the box
and remaining part will be length and breadth
As shown in fig,
Length=26-x
breadth=13-x
And height will be x
To get maximum volume differentiate the above equation,
Now ,Solve the Quadratic Equation to get x values,
=0
x=[-b±(b^2-4ac)^1/2]/2a
x=[78±Sqrt[(78)^2-4*338*3)]/2*3
x=[78±Sqrt(3028)]/6
x=[78±55.027]/6
x=78+55.027/6 or x=78-55.027/6
x=22.17 or x=3.8288
Use these values in 6x-78 to know which value posses the max and min value for the function.
So when x=22.17
6x-78=6*22.17-78
=55.02>0 i.e function will have minimum value .
When x=3.8288
6*3.8288-78
=-55.0272<0 i.e. Function will have maximum value
Now, the function will defines the maximum volume
Answer:
Third option:
Step-by-step explanation:
<h3><em> The correct form of the exercise is: "The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is<em> </em>The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the equation of the line in Point-Slope form:
You need to solve for "y" in order to write the given equation of the line in Slope Intercept form.
Then, this is:
You can identify that the slope "m" is:
And the y-interecept "b" is: