Answer:
The expression used to find the change in temperature per hour is Algebraic expression
Thus per hour; the temperature falls at the rate of 
Step-by-step explanation:
A temperature falls from 0 to 
in 
Which expression finds the change in temperature per hour.
From the above given information;
The initial temperature is 0
The final temperature is
The change in temperature is 
Thus;
-12.25 ° = 3.5 hours
To find the change in x° per hour; we have;
x° = 1 hour
The expression used to find the change in temperature per hour is Algebraic expression
From above if we cross multiply ; we have;
(- 12.25° × 1 hour) = (x° × 3.5 hour)
Divide both sides by 3.5 hours; we have:
x° = - 3.5
x° = 
Thus per hour; the temperature falls at the rate of
Each bag contains 50 pattern blocks so 4 bags is
50 x 4 = 200 pattern blocks
hope this helps
Hello!
The formula for the area of a circle is:
A = 
x r²
Answer:
Explanation:
You are comparing irrational numbers.
By inspection, i.e. at first sight you can only compare 
because they have the same radicand.
You can order: 
You can introduce the 2 inside the radical by squaring it:
Since 5 is between 3 and 12, you can order:
Which is:
You must know that π ≈ 3.14.
5 is less than 9 and the square root of 9 is 3; hence, 
and 
Now you must determine whether π is less than or greater than 
Using a calculator or probing numbers between 3 and 4 you get 
Hence, the complete order is:
Answer:
-5 =x
Step-by-step explanation:
3^(x-1) = 9^(x+2)
Replace 9 with 3^2
3^(x-1) = 3^2^(x+2)
We know that a power to a power means the powers are multiplied
a^b^c = a^(b*c)
3^(x-1) = 3^(2x+2)
When the bases are the same, the powers have to be the same
x-1 = 2x+4
Subtract x from each side
x-x-1 =2x-x+4
-1 =x+4
Subtract 4 from each side
-1-4 =x+4-4
-1-4 = x
-5 =x
