Answer:
x - 231 ≤ 459
Step-by-step explanation:
Given:
Elevation ranges below sea level = 228 ft
Elevation ranges above sea level = 690 ft
Elevation = x
Computation:
Ideal range = [690-228] / 2 = 231
Tolerance range = [690+228] / 2 = 459
So,
x - 231 ≤ 459
Answer:
A. (1, -2)
Step-by-step explanation:
We can substitute the variables of x and y into the inequality of 
.
Let's start with A, -2 being y and 1 being x.
The absolute value of 1 is 1, and negating that gets us -1.
Indeed, -2 is less than -1! So A is a solution to the inequality.
Let's test the rest of them, just in case.
For B:
Absolute value of 1 is 1, negating it is -1.
-1 is EQUAL to -1, not less than it, so is not a solution to the inequality.
Let's try C.
Absolute value of 1 is 1, negating it is -1.
0 is GREATER than -1, so that is not a solution to the inequality.
Hope this helped!
There are 13 rows because 65 divided by 5 is equal to 13.
Answer:
2. (-2)(4)
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
∫∫8xydA
converting to polar coordinates, x = rcosθ and y = rsinθ and dA = rdrdθ.
So,
∫∫8xydA = ∫∫8(rcosθ)(rsinθ)rdrdθ = ∫∫8r²(cosθsinθ)rdrdθ = ∫∫8r³(cosθsinθ)drdθ
So we integrate r from 0 to 9 and θ from 0 to 2π.
∫∫8r³(cosθsinθ)drdθ = 8∫[∫r³dr](cosθsinθ)dθ
= 8∫[r⁴/4]₀⁹(cosθsinθ)dθ
= 8∫[9⁴/4 - 0⁴/4](cosθsinθ)dθ
= 8[6561/4]∫(cosθsinθ)dθ
= 13122∫(cosθsinθ)dθ
Since sin2θ = 2sinθcosθ, sinθcosθ = (sin2θ)/2
Substituting this we have
13122∫(cosθsinθ)dθ = 13122∫(1/2)(sin2θ)dθ
= 13122/2[-cos2θ]/2 from 0 to 2π
13122/2[-cos2θ]/2 = 13122/4[-cos2(2π) - cos2(0)]
= -13122/4[cos4π - cos(0)]
= -13122/4[1 - 1]
= -13122/4 × 0
= 0
