Answer:
A) L, N, O, P
Step-by-step explanation:
The even numbers on the number line are marked by the letters L, N, O, P.
_____
If a number gives an integer result when divided by 2, it is an even number. Zero is an even number, giving the integer zero when divided by 2.
Understanding the Question
This may not be the actual way that the US government prepares the CPI, but it will provide a comparison.
You can set up a proportion. The base number for the CPI is 38.8 in 1970. That number (38.8) has more than doubled to get to 82.4, which also tells us that there was inflation. What your parents and grandparents bought in 1970 went to double the amount in 1980. Gasoline certainly did that.
Givens
CPI in 1970 = 38.8
CPI in 1980 = 82.4
Eggs 1970 = 0.25
Edgs 1980 = X
Formula substitution and solution
CPI 1970 / CPI 1980 = cost of eggs 1970 / cost of eggs 1980
38.8/82.4 = 0.25 / x Cross multiply
38.8 * x = 0.25 * 82.4
38.8 * x = 20.625
x = 20.628 /38.8
x = 0.53 dollars of 53 cents.
53 cents in 1980 which is slightly double as predicted.
Footnote
As a matter of interest, my wife tells me that eggs now cost about 3.58 where we live. That's almost 7 times as expensive as they were in 1980. Something to think about. By the way, the price quoted is in Canada.
Answer:
Step-by-step explanation:
Given expression:
The given expression needs to be simplified to the form 
Applying the exponents rule to simplify.
Writing all numbers as product of 3.
⇒ 
Writing each in exponents form.
⇒ 
Using power of a power rule ![[\ (a^x)^y=a^{xy}\ ]](https://tex.z-dn.net/?f=%5B%5C%20%28a%5Ex%29%5Ey%3Da%5E%7Bxy%7D%5C%20%5D)
⇒ 
Using multiplication rule of exponents ![[\ a^x\times a^y=a^{x+y}\ ]](https://tex.z-dn.net/?f=%5B%5C%20a%5Ex%5Ctimes%20a%5Ey%3Da%5E%7Bx%2By%7D%5C%20%5D)
⇒ 
⇒ 
So we have 
∴
Answer:
c. 12
Step-by-step explanation:
PA² = (BC + PB) × PB => tangent-secant theorem
PA = 8
PB = 4
BC = ?
Substitute
8² = (BC + 4) × 4
64 = 4BC + 16
64 - 16 = 4BC + 16 - 16
48 = 4BC
48/4 = 4BC/4
12 = BC
BC = 12
of a 90 degree angle, and two other angles that all should add up to 180 degrees.
