Answer: it will take 576000 gallons to fill the lap pool.
Step-by-step explanation:
The formula for determining the volume of water in the rectangular pool is expressed as
Volume = length × width × height
The rectangular lap pool measures 80 feet long by 20 feet wide if it needs to be filled to 48. It means that the volume of water that would be pumped inside the pool is
Volume = 80 × 20 × 48 = 76800 cubic feet
1 cubic foot = 7.5 gallons
76800 cubic feet = 76800 × 7.5 = 576000 gallons
Answer:
Option C
Step-by-step explanation:
In this case, an exponential function is a function that has common ratio whereas it is called a linear function if it has common difference.
Option A:
Since the values of y in the given table have different ratio but common difference, therefore it is not a a linear and not an exponential function. Option A is is not correct.
Option B:
Since the values of y in the given table have different ratio but common difference, therefore it is not a a linear and not an exponential function. Option B is not correct.
In option C.
Since the given values of y in the table have a common ratio, it is said to be an exponential function.
Option C is correct.
In option D.
Since the values of y in the given table have different ratio but common difference, therefore it is not a a linear and not an exponential function. Option D is incorrect.
Answer:
Step-by-step explanation:
Hypotenuse² =base² + altitude²
(3x + 4)² = (2x + 1)² + (3x)²
{Use (a+b)² = a² + 2ab + b²}
(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²
9x² + 24x + 16 = 4x² + 4x + 1 + 9x²
9x² + 24x + 16 = 13x² + 4x + 1
0 = 13x² + 4x + 1 - 9x² - 24x - 16
13x² - 9x² + 4x - 24x +1 - 16 = 0
4x² - 20x - 15 = 0
a = 4 ; b =-20 ; c = -15
D = b² - 4ac = (-20)² - 4*4*(-15) = 400 + 240 = 640
√D = √640 = 25.30
x = 5 .66 ; x = -0.66
Ignore x = -0.66 as length of a side cannot be negative
Answer : x = 5.66
The answer is 4,800 . You have to multiply 120 and 40.
