What is the domain of y=tan x?
1 answer:
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<span>Left & Right affect the h,
Up & Down affect the k,
Shrink & Stretch affect the "a" (which is in front of the absolute value expression).
1. shift 1 unit to the right and up 2 units → y = |x-1| + 2
2. </span><span>shift 3 units to the left and 7 units down → y = |x + 7| - 7
3. </span><span>vertical shrink by a factor of 1/3 → y =
|x|
4. </span><span>vertical stretch by a factor of 3 → y = </span><span>3 |x|</span>
Up & Down affect the k,
Shrink & Stretch affect the "a" (which is in front of the absolute value expression).
1. shift 1 unit to the right and up 2 units → y = |x-1| + 2
2. </span><span>shift 3 units to the left and 7 units down → y = |x + 7| - 7
3. </span><span>vertical shrink by a factor of 1/3 → y =
4. </span><span>vertical stretch by a factor of 3 → y = </span><span>3 |x|</span>
Answer:
The pool can contain <u>4521.6 gallons</u> of water.
Step-by-step explanation:
Given:
The diameter of the cylindrical swimming pool = 16 feet.
And the height of the cylindrical swimming pool = 3 feet.
(1 ft³ = 7.5 gallons)
Now, to find the gallons of water the pool can contain.
So, we find the radius first:
Radius (r) = =
Height (h) = 3 feet.
Now, to get the volume of swimming pool which is cylindrical in shape by putting formula (using the value of π = 3.14):
<em>Thus, getting the volume of pool 602.88 feet³.</em>
<em>As, given 1 ft³ = 7.5 gallons</em>.
Now, to get the gallons of water the pool can contain we multiply the volume of pool by 7.5:
Therefore, the pool can contain <u>4521.6 gallons</u> of water.