Order of operations are:
<span>1. Parentheses (simplify inside 'em)
2. Exponents
3. Multiplication and Division (from left to right)
<span>4. Addition and Subtraction (from left to right)
So, on your first one:
Parentheses first:8(3+4)-2*8/(5-3)
8(7)-2*8/(2)
There are no exponents so multiplication and division:56-16/2
56-8
Finally, addition and subtraction:56-8=48
Your second problem is a bit more complicated but follows the same rules:
</span></span>

<span><span>
Parentheses first:</span></span>

<span><span>
Now, exponents. Even though they are inside parentheses, we can't go further until we simply those.
(64+81)/5
Now back to parentheses:(145)/5
Division:
145/5=29
Hope that helps</span></span>
The first box is correct because if drawn on a praph it would show that it has a curve. Also another way to find out if it is nonlinear or linear is because the x-axis is increasing and the y-axis is decreasing. Hope this helps :)
Answer:
C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.
Step-by-step explanation:
Volume=576π cubic centimeters
Radius=8 cm
h=?
Her work:
Volume of a cyclinder=πr^2h
Step 1:
576π= π8^2h
Step 2:
576π = 64πh
Step 3:
576π / 64π = 64πh / 64π
Step 4:
h=9π cm
Correct workings:
Step 1:
576π= π8^2h
Step 2:
576π = 64πh
Step 3:
576π / 64π = 64πh / 64π
Step 4:
h= 9 centimeters
Her error is in step 4
C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.
Answer:
y>2
y<x
Choice D
Step-by-step explanation:
y> 2 is shaded above the line
y< x is shaded below the line