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Katarina [22]
3 years ago
15

Simplify. 1/3(1−1/4)^2

Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0
First step is parentheses so subtract 1/4 from 1

(1-1/4) = (4/4  - 1/4) = (3/4)

After parentheses we perform exponent operations

(3/4)^2 = (3^2/4^2) = (9/16)

Finally, after exponent operations we perform multiplications

(1/3)*(9/16) = (3/16)
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-3(x-5)=45<br> Please answer asap!
MrRa [10]

-3(x-5)=45

distribute

-3x+15 = 45

subtract 15 from each side

-3x = 30

divide by -3

x = -10

4 0
3 years ago
What is a compass used for?
Annette [7]
1. Measure and angle in degree
4 0
3 years ago
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Determine the astm grain size number if 33 grains per square inch are measured at a magnification of 270×
strojnjashka [21]
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.
7 0
3 years ago
A television normally sells for $320. This week, it's on sale at 60% of the normal price. What is the sale price?
Evgesh-ka [11]
You would take 320 and multiply it by .60 and you would get 192. So the answer is B) $192.
3 0
3 years ago
Read 2 more answers
Which arc is a minor arc? <br><br> SQ<br><br> PSR<br><br> PS
laila [671]

Answer:

probably would say PS would be your best

4 0
3 years ago
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