Answer:
The answer is C
Step-by-step explanation:
Answer:
Step-by-step explanation:
To simplify recall exponent rules:
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
Use rule #3 to simplify inside the parenthesis first.
Now simplify the exponent of 4 using rule 6.
7 is the first term, 8 is the second term, 9 is the third term. the sequence itself has 6 terms being 7, 8, 9, 10, 11, 12
Answer:
<em>1885.5 m^3 of water</em>
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Step-by-step explanation:
I'll assume this is the complete question
<em>Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the pool. When the pool is filled to this recommended level, approximately how many cubic feet of water will it contain? Use π = 3.14
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<u><em>The pool forms</em></u><em> a cylinder with a radius of 12 feet and a height of 4.5 feet.</em>
<em></em>
height of pool = 4.5 ft
radius of pool = 12 ft
height of water is 4 inches below pool top
<em>12 inches make 1 ft</em>
4 inches = 4/12 ft = 0.33 ft
Therefore, height of water = 4.5 - 0.33 = 4.17 ft
<em>volume of the water in this section of the cylinder will be equal to the volume of the cylinder formed</em>
volume of cylinder formed by the water = volume of water = πh
volume = 3.14 x x 4.17 = <em>1885.5 m^3 of water</em>