Money spent by Americans last year=$1,180-6.8% of $1,180
=$1099.76
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
Answer:
In 16170 ways the committee can be formed.
Step-by-step explanation:
3 faculty members and 5 students are required to form a committee.
The eligible to serve on the committee are 7 faculty members and 11 students.
If each committee position has the same duties and voting rights.
Then, the number of ways of selecting 3 faculty members out of 7 eligible faculty members is 
.
Again, the number of ways of selecting 5 students out of 11 eligible students is given by 
.
Therefore, in (35 × 462) = 16170 ways the committee can be formed. (Answer)
Answer:
<u>The budget for defense can be represented as x + 660.4</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Budget for education is $ 660.4 billion less than budget for defense in some country
x = represents the budget for education, in billion of dollars
2. How can the budget for defense be represented?
x = represents the budget for education, in billion of dollars
x + 660.4 = represents the budget for defense, in billion of dollars also
<u>The correct answer is that the budget for defense can be represented as x + 660.4</u>
