The volume of the sphere is 900 cm³
Step-by-step explanation:
- Step 1: Given the diameter of the ball = 12 cm. Find radius.
Radius = diameter/2 = 12/2 = 6cm
- Use the formula for volume of a sphere to find the volume.
Volume of the ball = 4/3 πr³
= 4/3 × 3.14 × (6)³
= 904.32 cm³ ≈ 900 cm³ (nearest hundredth)
Answer:
Given equation are:
......[1]
.....[2]
- The two lines are parallel lines then their slopes will be equal.
- When two lines are perpendicular then, the slope of lines are the negative reciprocals of each other.
Now, Equation of a line is in the form of y =mx+b where m is the slope of the line.
Slope
of equation of line in [1] is;
then;

Slope
of equation of line in [2];
Add both sides 2x we get;
-2x + 8y + 2x = 2x + 4
Simplify:
8y = 2x +4
Divide both sides by 8 we get;

then;

Therefore, the given two lines are neither parallel nor perpendicular.
Answer:
the answer would be -4x
Step-by-step explanation:
dividing (-20xyz) by (5zy) = 3
Answer:
240
Step-by-step explanation:
25% of 240 is 60
Answer:
The targeted population is USA residents who died of heart disease.
Step-by-step explanation:
According to this case, "the death rates due to heart disease among the smokers and nonsmokers are compared to see if smoking causes heart disease." This implies that the study targets those USA residents who died of heart disease to find out if the cause of death can be traced to heart disease caused by smoking or not. The main concentration for the study defines the targeted population. It is this group of residents who died of heart disease that is the population of interest. This means that the targeted population is a certain group of the population that share similar characteristics, especially death resulting from heart disease caused by smoking.