from the picture in every cup there are 1/5 of lemon + 4/5 of water.
the cups are 20
so 1/5 * 20 = 4
4 cup of lemon
Answer:
<em>7*6543=45801</em>
Step-by-step explanation:
We have the digits 34567 and must arrange them into a product with the largest possible value.
It's clear that we must place the largest digits to the left, so they represent larger numbers to multiply.
Let's try with:
7654*3=22962
765*43=32895
76*543=41268
7*6543=45801
This last combination definitely produces the largest product
Answer: 7*6543=45801
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:
Step-by-step explanation:
The exponential function that decrease by 15% every time x increases by 1 is given by:
We simplify the parenthesis to get:
Therefore the decrease by 15% every time x increases by 1 is
The second choice is correct.
Answer:
I plotted it out on the graph and here it is:
