Answer:
True
Step-by-step explanation:
Key idea: the graph of a proportional relationship is a straight line through the origin.
A. the relation is a function
Answer:
32/225 ≈ 0.1422
Step-by-step explanation:
If you consider "3-digit" numbers to be between 100 and 999, inclusive, there are 128 such numbers divisible by 7. The probability of choosing one at random is ...
128/900 = 32/225 = 0.1422...(repeating)
__
If you consider all non-negative integers less than 1000 to be "3-digit numbers," then the probability is ...
142/1000 = 0.142 (exactly)
Answer:
Step-by-step explanation:
Rearrange each function to solve for x.
Switch x and y,
The resulting equation is the inverse function.
A:
f(x) = y = 5+x
x = y-5
y = x-5
f⁻¹(x) = x-5
g(x) = 5-x ≠ f⁻¹(x)
g(x) is not the inverse of f(x).
:::::
B:
f(x) = y = 2x-9
x = (y+9)/2
y = (x+9)/2
f⁻¹(x) = (x+9)/2
g(x) = (x+9)/2 = f⁻¹(x)
g(x) is the inverse of f(x).
:::::
C:
f(x) = y = 2/x - 6
x = 2/(y+6)
y = 2/(x+6)
f⁻¹(x) = 2/(x+6)
g(x) = (x+6)/2 ≠ f⁻¹(x)
:::::
D:
f(x) = y = x/3 + 4
x = 3y - 12
y = 3x - 12
f⁻¹(x) = 3x - 12
g(x) = 3x - 4 ≠ f⁻¹(x)
g(x) is not the inverse of f(x).
Answer:
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
Step-by-step explanation:
Given;
diameter of the hemisphere, d = 14 cm
radius of the hemisphere, r = d/2 = 14/2 = 7 cm
The volume of the hemisphere is calculated as;
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
