Answer:
D.
Step-by-step explanation:
This function is piece-wise, meaning you will have two equations along with distinct domains. The equation x squared plus 3 illustrates a parabolic curve, while x plus 4 is depicted as a linear function. There is a specific reason why the point on the parabola is open at x equals 4; this signifies that the value does not satisfy the equation. Therefore, x cannot equal 4 for the parabola, so its domain is x less than 4. The closed point on the linear function indicates that when x is 4, it is part of the solution for that equation and graph. Consequently, the domain for the linear function is x greater than or equal to 4. Hope this clarifies things!
a=2+6t, b=10+2t
a=b when
2+6t=10+2t subtract 2t from both sides
2+4t=10 subtract 2 from both sides
4t=8 divide both sides by 4
t=2
Thus, they will have the same amount of snowfall after two hours
hope i helped
The formula for the volume of a sphere can be derived as follows. We will approach this through calculus, utilizing the concept of a solid of revolution; this is a three-dimensional shape formed by rotating a two-dimensional curve around a straight line (the axis of revolution) that lies within the same plane. From calculus, we know that we will generate a shape by rotating the specified circumference. Next, we isolate y and utilize certain limits for this integral.
Answer: a) 1791 seconds
b) 29701 seconds
Step-by-step breakdown:
1 US gallon = 0.134 cubic feet
It takes 20 seconds to fill a 2-gallon watering can with the garden hose. Converting 2 gallons into cubic feet results in
2 × 0.134 = 0.268 cubic feet
a) The inflatable pool has dimensions of 3 feet wide, 8 feet long, and 1 foot deep.
Volume = 3 × 8 × 1 = 24 cubic feet
If it takes 0.268 cubic feet = 20 seconds
Then 24 cubic feet = (24 × 20)/0.268
= 1791 seconds
b) The formula for the volume of a cylinder is πr²h
Diameter = 13 feet
Radius = diameter/2 = 13/2 = 6.5
The circular pool's volume calculates to
3.14 × 6.5² × 3 = 397.995 cubic feet
If it takes 0.268 cubic feet = 20 seconds
Then 397.995 cubic feet = (397.995 × 20)/0.268
= 29701 seconds
