Answer: 367,750
Step-by-step explanation:
If the value increases by 6750 every year.
334000-280000 = 54000/8 = 6750
334000 + (6750 x 5) = 367,750
First you divide 12 by 3 to get 4, and then you multiply 210 by 4 to get 840, which is answer C. This is because if it is 210 patients per 3 weeks, 3 goes into 12 weeks 4 times, so you need to multiply. I hope this helps!
Answer:
3 and 10
Step-by-step explanation:
Answer: x=-12
Step 1: Simplify both sides of the equation.
4x+27=−33−x
4x+27=−33+−x
4x+27=−x−33
Step 2: Add x to both sides.
x+27+x=−x−33+x
5x+27=−33
Step 3: Subtract 27 from both sides.
5x+27−27=−33−27
5x=−60
Step 4: Divide both sides by 5.
x=−12
Answer:
π/6 [37^(³/₂) − 1] ≈ 117.3187
Step-by-step explanation:
The surface area is:
S = ∫ 2π (x − 0) √(1 + (dx/dy)²) dy
0 ≤ x ≤ 3, so -4 ≤ y ≤ 5.
Find dx/dy.
y = 5 − x²
x² = 5 − y
x = √(5 − y)
dx/dy = ½ (5 − y)^(-½) (-1)
dx/dy = -½ (5 − y)^(-½)
(dx/dy)² = ¼ (5 − y)^(-1)
(dx/dy)² = 1 / (4 (5 − y))
Plug in:
S = ∫₋₄⁵ 2π x √(1 + 1 / (20 − 4y)) dy
S = ∫₋₄⁵ 2π √(5 − y) √(1 + 1 / (4 (5 − y))) dy
S = ∫₋₄⁵ 2π √((5 − y) + 1/4)) dy
S = ∫₋₄⁵ 2π √(5.25 − y) dy
If u = 5.25 − y, then du = -dy.
S = ∫ 2π √u (-du)
S = -2π ∫ √u du
S = -2π (⅔ u^(³/₂))
S = -4π/3 u^(³/₂)
Substitute back:
S = -4π/3 (5.25 − y)^(³/₂)
Evaluate between y=-4 and y=5.
S = [-4π/3 (5.25 − 5)^(³/₂)] − [-4π/3 (5.25 − -4)^(³/₂)]
S = -4π/3 (0.25)^(³/₂) + 4π/3 (9.25)^(³/₂)
S = π/6 [37^(³/₂) − 1]
S ≈ 117.3187
