The RPM at which the engine is putting out Maximum power is 6875 RPM.
The maximum horsepower is; 1548.521 HP
<h3>How to find the maximum value of a function?</h3>
We are told that the engine in a car has a power curve approximated by;
y = -x²/30000 + 22x/48 - 27
where;
x is the RPM
y is the horsepower generated
A) The RPM that generates the most power would be the value of x at dy/dx = o
Thus;
dy/dx = -2x/30000 + 22/48
At dy/dx = 0;
-2x/30000 + 22/48 = 0
22/48 = 2x/30000
2x = (22 * 30000)/48
x = (22 * 30000)(2 * 48)
x = 6875 RPM
B) Maximum horsepower would be;
y(6875) = -(6875)²/30000 + 22(6875)/48 - 27
= 1548.521 HP
Read more about Maximum value of a function at; brainly.com/question/5722003
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Answer:
h=1
Step-by-step explanation:
-6h+15+15=24
-6h+30=24
-6h=-6
h=1
Answer:
Step-by-step explanation:
1.89/14= .135
estimating to the nearest cent would be .14
Answer:
A. -⅗ is located on the right of -2.
Step-by-step explanation:
-⅗ > -2 means -⅗ is greater than -2. This implies that, on a numberline, -⅗ is closer to 0 than -2.
-¾ and -2 are both located left of 0.
However, -⅗ which is closer to 0 than -2, would be located on the right of -2.
Answer: ![249.48\ m^2; 369.168\ m^3](https://tex.z-dn.net/?f=249.48%5C%20m%5E2%3B%20369.168%5C%20m%5E3)
Step-by-step explanation:
Given
Cost of white-washing =Rs. 4989.60
Rate =20 per meter square
So, inside area of = ![\dfrac{4989.60}{20}=249.48\ m^2](https://tex.z-dn.net/?f=%5Cdfrac%7B4989.60%7D%7B20%7D%3D249.48%5C%20m%5E2)
The surface area of dome= ![4\pi\ r^2=249.48](https://tex.z-dn.net/?f=4%5Cpi%5C%20r%5E2%3D249.48)
![4\times 3.142\times r^2=249.48\\r^2=\frac{249.48}{4\times 3.142}=19.85\\r=4.455\ m](https://tex.z-dn.net/?f=4%5Ctimes%203.142%5Ctimes%20r%5E2%3D249.48%5C%5Cr%5E2%3D%5Cfrac%7B249.48%7D%7B4%5Ctimes%203.142%7D%3D19.85%5C%5Cr%3D4.455%5C%20m)
The volume of air in the dome ![V=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
![V=\frac{4}{3}\cdot 3.142\cdot (4.45)^3\\V=369.17\ m^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Ccdot%203.142%5Ccdot%20%284.45%29%5E3%5C%5CV%3D369.17%5C%20m%5E3)