Answer:
area = pi * (64x² + 32x + 4)
Using pi = 3.14:
area = 200.96 x² + 100.48 x + 12.56
Explanation:
We are given that:
area of sphere = 4 * pi * r²
radius = 4x + 1
Substitute with the radius in the given formula to get the area as follows:
area = 4 * pi * (4x+1)²
area = 4 * pi * (16x² + 8x + 1)
area = pi * (64x² + 32x + 4)
Using pi = 3.14:
area = 200.96 x² + 100.48 x + 12.56
Hope this helps :)
Answer:
150,595
Step-by-step explanation:
First, convert miles to feet:
4.1 mi × (5280 ft/mi) = 21648 ft
The area that the crowd takes up is:
2 × 8 ft × 21648 ft = 346368 ft²
The number of people is:
346368 ft² × (1 person / 2.3 ft²) = 150594.8
Rounding to the nearest integer, there are approximately 150,595 people in the crowd.
Answer:
176
Step-by-step explanation:
14x12 = 168 + 8 = 176
Answer:
no solution
Step-by-step explanation:
24 + 6k < -6(-4-k)
Distribute
24+6k< 24 +6k
Subtract 6k from each side
24 < 24
This is never true so there are no solutions
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
