Answer:
x = 77, x = -77
Step-by-step explanation:
|x| – 17 = 60
Add 17 to each side
|x| – 17+17 = 60+17
|x| = 77
The absolute value equation has two solutions, one positive and one negative
x = 77, x = -77
Answer:
<h2>y-intercept = 3</h2><h2>x-intercept - not exist</h2><h2>the graph is increasing</h2>
Step-by-step explanation:
The exponential function:
has y-intercept for x = 0
hasn't x-intercept
if a > 1, then is increasing
if 0 < a < 1, then is decreasing
We have
a = 2 >1 - increasing
for x = 0:
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.
Answer:
23.92
Step-by-step explanation:
You can round 2.99 to 3 and do 3x8 mentally then subtract 8 cents ¯\_(ツ)_/¯
Answer:
Value of x is, 8
Step-by-step explanation:
Given: 
,.....[1]
To find the value of x:
Using exponent rules:
Taking square both sides in [1] we have;
Simplify:
or
Multiply both sides by 
we get;
Simplify:
or
Simplify:
x = 8
Therefore, the value of x is, 8
