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
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Answer:G,B and H
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
Any percentage is a number divided by 100 . So 0.4%=0.4100 . Dividing 0.4 by 100 gives 0.004 .
Answer:
∠ JKL = 32°
Step-by-step explanation:
Since KN bisects ∠ LKM , then
∠ LKN = ∠ NKM = 35°
Thus
∠ JKL = ∠ JKM - ∠ LKN - ∠ NKM
= 102° - 35° - 35°
= 102° - 70°
= 32°
Answer:
The expression 16.78d + 49 represents the amount Rita spent at the mall.
If she bought 3 itens, Rita spent $99.34.
Step-by-step explanation:
Expression:
First store: 16.78d + 23
Second store: 26
Total: 16.78d + 23 + 26 = 16.78d + 49
Then estimate how much Rita spent if she bought 3 items.
Now, we have that d = 3. So
16.78*3 + 49 = 99.34
If she bought 3 itens, Rita spent $99.34.