Answer:
The rate of change of each circular surface of the dough is approximately 150.796 in.²/minute
Step-by-step explanation:
The given parameters are;
When the radius of the dough, r = 12 inches, the radius is increasing at 2 inches per minute
Therefore, we have;
dr/dt = 2 in./min
The area of the circular surface of the dough, A = π·r²
The rate of change of each (top or bottom) circular surface area of the dough dA/dt is given as follows;
dA/dt = d(π·r²)/dt = π·2·r·dr/dt
Where;
r = 12 in.
dr/dt = 2 in./min
Substituting, we have;
dA/dt = π·2·r·dr/dt = π × 2 × 12 in. × 2 in./min ≈ 150.796 in.²/minute.
The rate of change of each circular surface of the dough = dA/dt ≈ 150.796 in.²/minute.
Answer:
a) 29.50 miles per gallon b) 29.87 miles per gallon c) 28.19 miles per gallon
Step-by-step explanation:
A specific car fuel economy (miles/gallon) = f(x) = 0.00000056x^4 - 0.000018x^3 - 0.016x^2 + 1.38x - 0.38
where x represents the car speed in miles per hour.
when x = 40 miles per hour
A specific car fuel economy (miles/gallon) = f(x) = 0.00000056(40)^4 - 0.000018(40)^3 - 0.016(40)^2 + 1.38(40) - 0.38 = 1.4336 - 1.152 - 25.6 + 55.2 - 0.38 = 29.50 miles per gallon
Similarly,
when x = 50
A specific car fuel economy (miles/gallon) = f(x) = 0.00000056(50)^4 - 0.000018(50)^3 - 0.016(50)^2 + 1.38(50) - 0.38 = 3.5 - 2.25 - 40 + 69 - 0.38 = 29.87 miles per gallon
Similarly,
when x = 60
A specific car fuel economy (miles/gallon) = f(x) = 0.00000056(60)^4 - 0.000018(60)^3 - 0.016(60)^2 + 1.38(60) - 0.38 = 7.26 - 3.89 - 57.6 + 82.8 - 0.38 = 28.19 miles per gallon
Answer:
ZX
Step-by-step explanation:
A diameter is a chord of a circle that passes through the center of the circle.
A chord of a circle is a segment inside the circle whose endpoints are on the circle.
Chords of the circle:
ZY, ZX, YW, UV
Of all those chords, only two pass through the center of the circle:
ZX, YW
Of the two diameters, only one is a choice:
ZX
Answer: B. ZX
The width of the rectangular box will be 8cm
Given that the formula for calculating the volume of a rectangular box is expressed as:
L is the length
w is the width
h is the height
Get the "value of "w
Given the following parameters
Length l = 3 cm
Volume V = 120cm³
Height = 5cm
Get the width of the box as shown:
Hence the width of the rectangular box will be 8cm
Learn more here: brainly.com/question/20415942
Answer:
it is and y=4x
(i'm pretty tired so I can't include an explanation.)