In this item, it is assumed that we are to determine the speed at which the car will have the best gas mileage. This can be done by deriving the equation and equating it to zero.
M(s) = -1/28s² + 3s - 31
Deriving,
dM(s) = (-1/28)(2s) + 3 = 0
s = 42
Hence, the speed at which the best mileage is achieved is mi/h.
Answer:
t = 
Step-by-step explanation:
Given that t varies inversely as the square root of u then the equation relating them is
t = 
← k is the constant of variation
To find k use the condition t = 3 when u = 4, thus
k = t
= 3 × 
= 3 × 2 = 6
t = 
← equation of variation
When u = 49, then
t = 
=
Step-by-step explanation:
For square
A=bh
A=30(20)
A=60in²
For triangle
A=½bh
A=½(40)(30)
A=½(120)
A=60in²
Add
60+60=120in²
Answer:
G = (9.4, 9,4)
Step-by-step explanation:
The ratio is applied in the x-distance and the y-distance. The ratio is 2:3 so you have to divide the distances by 5 and 2/5 correspond to FG and 3/5 to GH
x-distance:
x2 - x1 = 16 - 5 = 11
11/5 = 2.2
y-distance:
y2 - y1 = 13 - 7 = 6
6/5 = 1.2
Point G = Point F + (2.2*2, 1.2*2)
Point G = (5, 7) + (4.4, 2.4)
= (9.4, 9.4)
Answer:
225.5
Step-by-step explanation:
So, you would start by doing
220 times 2.5% that would equal 5.5
Then you would add
220 + 5.5 = 225.5
Therefore your answer will be 225.5
