Answer:
8
Step-by-step explanation:
Given
(m + n)³ ← substitute m = 1, n = 1 into the expression
= (1 + 1)³ = 2³ = 2 × 2 × 2 = 8
The stalactites become 0.004 + 0.006 = 0.01 inches closer each year, and begin 10 feet apart, or 120 inches apart.
let y be the distance between them, and x be the number of years that go by:
y = -0.01x + 120
We want to find where y = 0, where they meet:
0 = -0.01x + 120 Add 0.01x to both sides
0.01x = 120 Multiply both sides by 100
x = 12,000
The stalagmite and stalactite will meet in 12,000 years
Answer:
a=326.76 yd^2
Step-by-step explanation:
a= 2pi(d/2)h+2pi(d/2)^2=2pi(8/2)9+2pi(8/2)^2= 326.72564yd^2
Answer: 6
Step-byStep:
[(18- 8) x 3) + (4+3) x 6] divided by 12
step 1- start with the stuff in the parentheses
[(10 x 3) + (7 x 6)] divided by 12
step 2- simplify things in parentheses
[30 + 42] divided by 12
step 3- simplify even more
[72] divided by 12
step 4- remove brackets, and simply even further
72 divided by 12 = 6
Hope this helps
Answer:
See explanation
Step-by-step explanation:
1. R is the set of all integers with absolute value less than 10, thus
2. A is its subset containing all natural numbers less than 10, thus
3. B is the set of all integer solutions of inequality 2x+5<9 that are less than 10 by absolute value (and therefore, it is also a subset of R). First, solve the inequality:
Thus,
See the diagram in attached diagram.
Note that
