Solve using the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)
REMEMBER: IF NOT APPLICABLE TO THE EQUATION YOU MAY SKIP THAT STEP IN PEMDAS .
3(8 - 2) + 4 = 22
Parentheses...
(15 - 6)² ÷ 3 - 3³
15 - 6 = 9
(9)² ÷ 3 - 3³
Exponent....
9² ÷ 3 - 3³
In this case you have two exponents. Always apply the steps from left to right
9² ÷ 3 - 3³
9² = 81
81 ÷ 3 - 3³
3³ = 27
81 ÷ 3 - 27
Division...
81 ÷ 3 - 27
81 ÷ 3 = 27
27 - 27
Subtraction...
27 - 27 = 0
0
<u>Your mistake: </u>
You subtracted 3 - 27 before dividing 81 by 3. Remember that according to the rules of PEMDAS division must come before subtraction
Hope this helped!
~Just a girl in love with Shawn Mendes
Step-by-step explanation:
Arc length formula is

where x is radinas.
A semi circle has a radian measure of

The radius is half of the diameter, 12 so the radius is

So the arc length is

Area of semi circle is

where r is the radius.



Answer 2/13
Step-by-step explanation:
There are 52 cards in a standard deck: 13 ordinal cards (Ace -10, jack, Queen, King)and 4 of them
- one to each sute (hearts, diamonds, clubs, spades ) and so we have 4x13=52
There are 8 card that fit the question (4 each of access and kings).
so if you in a random draw the odds of drawing one of those 8 card out of the total number of 52 is 8/52
which we simplify
8/2=2/13
Let's do this in steps, show your work!
<u>#1. We need to move all terms to one side.</u>
<u>x^2 - 7x = 0</u>
<u>#2. Then factor out the common term x.</u>
<u>x(x - 7) = 0.</u>
<u>#3. Simplify to get..</u>
<u>x = 0, 7.</u>
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If you need help with any other question let me know.
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Answer:
10) C
11) A
Step-by-step explanation: