Answer:
37.7 mi²/h
Step-by-step explanation:
The area formula is ...
A = πr²
Differentiating with respect to time gives ...
dA/dt = 2πr·dr/dt
Filling in the given values, we have ...
dA/dt = 2π(3 mi)(2 mi/h) = 12π mi²/h
The area is increasing at the rate of about 37.7 mi² per hour.
Answer: z = 4
Step-by-step explanation:
3z = 20 - 8
3z = 12
z = 12/3
z = 4
Hope this helped!
X + 7, ie the number set on Monday + seven more
Answer:
26. the y intercept is -6
27. the y intercept is 2
28. the y intercept is -3
29. I cant answer because it is cut off in the picture...
Step-by-step explanation:
These equations follow a simple formula- the slope formula
y=mx+b
In this formula:
b is the y intercept
m is the slope that is multiplied by x
hope this helps:)
please crown me brainliest!!!
8.9
The equation for the grain size is expressed as the equality:
Nm(M/100)^2 = 2^(n-1)
where
Nm = number of grains per square inch at magnification M.
M = Magnification
n = ASTM grain size number
Let's solve for n, then substitute the known values and calculate.
Nm(M/100)^2 = 2^(n-1)
log(Nm(M/100)^2) = log(2^(n-1))
log(Nm) + 2*log(M/100) = (n-1) * log(2)
(log(Nm) + 2*log(M/100))/log(2) = n-1
(log(Nm) + 2*log(M/100))/log(2) + 1 = n
(log(33) + 2*log(270/100))/log(2) + 1 = n
(1.51851394 + 2*0.431363764)/0.301029996 + 1 = n
(1.51851394 + 0.862727528)/0.301029996 + 1 = n
2.381241468/0.301029996 + 1 = n
7.910312934 + 1 = n
8.910312934 = n
So the ASTM grain size number is 8.9
If you want to calculate the number of grains per square inch, you'd use the
same formula with M equal to 1. So:
Nm(M/100)^2 = 2^(n-1)
Nm(1/100)^2 = 2^(8.9-1)
Nm(1/10000) = 2^7.9
Nm(1/10000) = 238.8564458
Nm = 2388564.458
Or about 2,400,000 grains per square inch.
