Answer:
Step-by-step explanation:
If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.
If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes
y = k/x
When y = 0.25, x = 8
Substituting into the expression above, it becomes
0.25 = k/8
k = 0.25 × 8
k = 2
The inverse variation function is
y = 2/x
Answer:
B: 4/5x -2y ≥ 3
Step-by-step explanation:
The first thing I always look for is the y-intercept which in this case is around -1.5 (-
). That will be your constant (b) in y = mx + b. Then calculate the slope which will be your m in the equation. Visually, I would estimate it is around
. So now, your equation is y =
x -1
. Next we want to figure out what the inequality will be. The shaded part is underneath the line, which means that y must be less than where the line is. Therefore the inequality will be y ≤
x -1
.
Now in this question, the answers available are not in this form. The next step would be to multiply every part of the inequality by 2 (it is essential that all parts are multiplied) so that you get 2y ≤
x -3. The last step is to rearrange the inequality so that it matches the answers on the question.
3 ≤
x - 2y
x - 2y ≥ 3
52 = 50
512= 500
500/50 = 10
60g/12miles = 5g/mile
So, 1200g / 5g = 240 miles
The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.
Step-by-step explanation:
The given is,
Volume of cylindrical vase = 8038.4 cubic centimeters
Height of the cylindrical vase = 40 centimeters
Step:1
Formula for volume of cylindrical vase,
......................(1)
Where, r - Radius of cylindrical vase
h - Height of cylindrical vase
From the given,
V = 8038.4 cubic centimeters
h = 40 centimeters
Equation (1) becomes,
8038.4 
(∵
= 3.14 )


r = 8 centimeters
Result:
The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.