Answer:
D. dA/dt = 4h dh/dt in²/sec
Step-by-step explanation:
Given:
A = wh
w = 2h
Substitute:
A = 2h²
Take derivative with respect to time:
dA/dt = 4h dh/dt
dA/dt has units of in²/sec.
Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
a(7)^2 + b(7) + c = 23.50 → 49a + 7b + c = 23.50 (1)
a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
And we can use 9a + 3b + c = 15.50 to find "c"
9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
-4.5 + c = 15.50
c = 20
So our function is
c(x) = (1/2)x^2 - (3)x + 20
And the cost to produce 5 widgets is = $17.50
Answer:
- 1.67
Step-by-step explanation:
f(x) = 
- 
= 
- 
= 
- 2
= - 1 
= -1.6666666
= -1.67
2.485 is round to 450 and 450 divide by 15 equals 30. 485 divide by 15 32 r 5
Use Pythagorus theorem:
a²+b²=c²
(12)²+(16)²=c²
400=c²
√400=c
20=c
Therefore, the hypotenuse would be 20 ft.
Hope I helped :)
