Answer:
-1/128
Step-by-step explanation:
1,-1/2,1/4,-1/8,1/16,-1/32,1/64,-1/128
We need to know the density of Marble City, hence we know the density of Pebble City.
MC density = population/area
MC density = 52,348/125
MC density = 418.784 people/miles
From the question, we know that the two cities have the same population density.
PC density = MC density
PC density = 418.784 people/miles
Use the density formula to figure out the dimension of PC
PC density = population/area
418.784 = 85,312/(l × w)
(l × w) = 85,312/418.784
11.8 w = 85,312/418.784
11.8 w = 203.7
w = 203.7/11.8
w = 17.2
The closest value of x is 17 miles
The pattern here is the number times 3 then plus 1
We can check this by plugging it in.
1×3=3
3+1=4
4 is the next number in our sequence so the pattern works.
We can continue to check this with the rest of our sequence.
4×3=12
12+1=13
13 is the next number in our sequence so the pattern works.
13×3=39
39+1=40
40 is the next number in our sequence so the pattern works.
40×3=120
120+1=121
121 is the next number in our sequence so the pattern works.
We can find the next numbed in the sequence by continuing the patter
121×3=363
363+1=364
So the next number in the sequence is 364
Alright, so this is quite simple really.
A: What decimal is equivalent to 72/100?
Well, 72/100 means you have 72 out of 100. Meaning it's not a whole number, so this means as a decimal, your answer would be behind the decimal point.
Behind the decimal, you have 3 main places. Tenths, Hundredths, and Thousandths. It goes much further than that, of course, but most don't have to worry about those. 72/100 is represented as 72-hundredths, or .72
You are correct.
B: .72 as a fraction is 72/100. Simply divide by 2 until you simply can't anymore, this saves you time. 72/100 divided by 2 equally is 36/50. This divided by 2 equally is 18/25. This is the lowest form, you are correct.
C: Well, also simple. We know that when you have an exponent, you multiply the number by itself. 9^2 is 81, because 9*9=81. HOWEVER, this applies to only positive exponents. With negative exponents, you have to make it a fraction as 1. So, your answer is indeed 1/81
You are correct on all! Great job!
~Hope this helps!
Answer:
a
Step-by-step explanation: