12. 1.625 [terminating]; 13. 0.83 [bar notation over 3 (repeating)]; 14. 900 cm = 9 m; 15. 0.23 cm = 2.3 mm
Repeating decimals are parts of decimals that have repetitive digits; terminating decimals are decimals whose digits end.
Whether you are using Metric or Imperial, you have to determine whether you are going from a small unit to a big unit or vice versa. Then perform your operation. So, in exercise 14, the smaller unit is centimeters, so you would be going from big to small. Exercise 15 has you going from small to big.
There are centimeters in one meter, so multiply 9 by to get 900 centimeters.
There are 10 millimeters in one centimeter, so divide 2.3 by 10 simply by moving the decimal point ONCE to the left [Power of 10].
small to BIG → Division
BIG to small → Multiplication
I am joyous to assist you anytime.
Answer:
Step-by-step explanation:
Assuming the problem is asking you to factor out the formula, it can be done easily by finding a common number with the two givens.
4 goes into both 12 and 16 evenly, so we will use this to factor. But that's not all, we have the n-variable to worry about.
Look at the n-variable exponents in the problem, take the highest power that can go be subtracted from both and use that. We have a 
and 
. Since 5 can't go into 3, we must use 3 to factor.
Our factoring variable will therefore be 
. Now, use this to simply divide and get the answer:
So how did we get this? For the whole numbers, we have to divide: (12/4, 16/4). Next, we have to minus the exponents since we are dividing.
When dividing the 12 and 4, minus the and to get 
. Get rid of the term for the 16 and leave the 4. And there's your answer!
Answer:
first option
Step-by-step explanation:
To obtain ( f ￮ g)(x) substitute x = g(x) into f(x) , that is
f(
)
= 
( multiply numerator/ denominator by 2x to clear the fraction
= 
= 
Answer:
I think it's 2x/4 (1x/2 if simplified). if it's multiple choice that's what I'd go with and if that answer is wrong then sorry
Step-by-step explanation:
x•2 is 2x because you don't know the value x and you still have to divide by four. when simplified, 2/4 is 1/2 so it'd be 1x/2
Our first step is to figure out what formulas are needed for diameter, circumference, and area of a circle.
Diameter is simply twice the size of the radius so:
2 * radius = 2 * 40 feet = 80 ft.
Circumference = 2 * pi * radius = 80 ft * pi
If we say that pi = 3.14, then:
circumference = 251.2 ft.
Area = pi * radius^2 = pi * 1600 ft^2
Once again, if we assert pi = 3.14, then:
area = 3.14 * 1600 ft^2 = 5024 ft^2.
