Answer:
Domain: x ≥ 7
Range: y ≥ -1
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
Range is the set of y-values that can be outputted from function f(x).
We know that we can't take a square root of a negative and get a real number. The closest we can get is the square root of zero, no less.
What x-value renders the square root 0? x = 7 does, and we can't go less than that or we will get imaginary numbers. Therefore, the domain is x ≥ 7.
To find the range, we simply solve the rest of the function when x = 7, as we cannot go any lower.
y = 0 - 1
y = -1
Therefore, our range has to be y ≥ -1 because that would be the lowest y-value outputted from the lowest x-value.
Answer:
a) 125 scoops b) 31 scoops
Step-by-step explanation:
The sink = 4000/3 pi
a) The volume of a Cone is 1/3 (pi)(h)(r)^2, meaning...
(1/3)(pi)(8)(2^2)=32/3 pi, and...
(4000pi/3)/(32pi/3) =
4000/32 =
125
b) The volume of a Cone is 1/3 (pi)(h)(r)^2, meaning...
(1/3)(pi)(8)(4^2) = 128pi/3, and...
(4000pi/3)/(128pi/3) =
4000/128 =
31.25, which is approx. 31
Answer:
The correct answer is 4 (0.72n)
Total notebook = 70
Total cost = 50.4
now
cost of one note book = total cost / total no notebook
= 50.4/70
= 0.72
Answer:
4/9
Step-by-step explanation:
The scale factor for the linear dimensions of the ball bearings will be the cube root of the volume scale factor:
k = ∛(1.6/5.4) = 2/3
Then the scale factor for the areas will be the square of this scale factor:
ratio of surface area = (2/3)² = 4/9
_____
The area is the product of two linear dimensions, so its scale factor is the product of the linear dimension scale factors. That is, the scale factor for area is the square of the linear dimension scale factor.
Similarly, volume is the product of three linear dimensions, so its scale factor is the cube of the linear dimension scale factor.
Answer:
12 more feet
Step-by-step explanation:
Reason why is because if you add 14 and 4 you get 18 then you add 18 with 12 and you get 30. (hope this helps)
