Answer:
What do you need me to do?
Step-by-step explanation:
Answer:
Step-by-step explanation:
If (3, 2) is an ordered pair of the function F(x), which of the following must be an ordered pair of the inverse of F(x)?
A. (3, 2)
B. (2, 2)
C. (2, 3)
D. (3, 3)
The approach is to first find the value of constant of proportionality 'k'.
As y varies directly with x²
So we have
y = k x².
Now when x = 6 , y = 72
Substituting the values we get
72 = k (6)²
72 = 36 k
Dividing by 36 on both sides
2 = k
So (1) becomes
y = 2 x²
Now we need to find y when x = 14
Substituting the values in (2) we get
y = 2 ×(14)²
y = 2 × 196
y = 392
Hence y = 392 when x = 14.
Answer:
Amount of empty space in the cylinder = 395.64 cm³
Step-by-step explanation:
Since the cylinder contains 3 tennis balls each measuring 6 cm in diameter, we can say that the diameter of the cylinder is 6 cm because the balls are on top of each other. Since we have 18 cm is the height of the cylinder,then;
Formula for volume of a cylinder is;
V = πr²h
We are to use π = 3.14
Thus, V_cylinder = 3.14 × (6/2)² × 18
V_cylinder = 508.68 cm³
Volume of a tennis ball is;
V_tennis ball = (4/3)πr³
V_tennis ball = (4/3) × 3.14 × (6/2)³
V_tennis ball = 37.68 cm³
Thus, volume of 3 tennis balls = 3 × 37.68 = 113.04 cm³
Amount of empty space in the cylinder = V_cylinder - V_3 tennnis ball = 508.68 - 113.04 = 395.64 cm³
Answer:
C = (g + 5)
Step-by-step explanation:
Given the cost of a customers smartphone bill,
C=10g+50
We are required to factor the polynomial.
First, determine the G.C.D of both terms
The GCD of 10g and 50 is 10
Next, we divide each of the term by 10 and balance it by multiplying the expression by 10.
C = 10g + 50
= 10 (10g / 10 + 50/10)
The cost polynomial factored is C=10(g+5).
