The completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.
<h3>What is polynomial?</h3>
Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).
The polynomial equation given in the problem is,
Let the factor form of the polynomial is f(p). Thus,
Using the formula of difference of squares, we get,
Thus, the completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.
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Answer:
She makes $1041 in 2 weeks
Step-by-step explanation:
First, we can work on finding how much she makes in a day. To find the daily income, we need to multiply 17.35 by 6 since she works 6 hours a day.
17.35x6=104.1
She makes $104.10 a day. Now we multiply by 5 since she works 5 days a week
104.10x5=520.50 a week
Since we are trying to find how much she makes in two weeks, we multiply the weekly income by 2
520.5x2=1041
She makes $1041 in 2 weeks
Answer:
Mrs. Habib will have 22.25 feet of border left after she puts border around the board.
Step-by-step explanation:
You must find the perimeter of the board and subtract it from the amount of border she has to find how much she will have left after she uses it. The formula for perimeter is , where the length of the board, and the width of the board. You will add those together and multiply them by 2 because there are 4 sides to a rectangle. That means this equation will look like:
Now you can just solve for the perimeter.
The perimeter is 24 feet. That means it will take 24 feet of border to cover her board. In order to find out how much she'll have left over, just subtract 24 from the total amount of border she has.
Therefore Mrs. Habib will have 22.25 feet of border left over after she covers the bulletin board.
Answer:
Initial dive: - 248 (below the surface which represents '0')
Second dive: -10
Present depth -248 + -10 = -258 feet below the surface
Step-by-step explanation:
We can use negative integers to represent real-world scenarios such as in elevation and descent, bank account balances and temperatures. In this case, because a diver is descending below the surface of the water, the surface of the water represents the '0' and going down into the water would be negative integers. So, his initial dive is 248 down, or negative 248 (-248), he then dives down an additional 10 feet, or negative 10 (-10). Since the second dive is in addition to his initial dive, we add the two integers together:
-248 + -10 = -258 feet
1. V = r² π hV = 3² π · 10 = 90 π in³Answer: C.2. r = 18/2 = 9 yd, h = 3 ydV = 9² π · 3 = 243 π yd³3. r = 46.25 / 2 = 23.125 cmh = 18.5 cmV = 23.125² · 3.14 · 18.5 = 31,064.53 cm³4. h = 1934, d = 1934 · 125 = 241,750 , r = 241.750 / 2 = 120,875 V = 120,875² · 3.14 · 1934 = = 14,610,765,625 · 3.14 · 1934 = = 88,727,673,056,875