Answer:
C. 14
Step-by-step explanation:
F(x) = ∫₀²ˣ √(t³−15) dt
Use second fundamental theorem of calculus:
F'(x) = √((2x)³−15) d/dx (2x)
F'(x) = 2 √(8x³−15)
Evaluate at x=2:
F'(2) = 2 √(8×2³−15)
F'(2) = 2 √(64−15)
F'(2) = 2 √49
F'(2) = 14
The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .
Given terms ( common for each cylinder ) :
- height (h) = 4 ft
- radius. (r) = 0.5 ft
Since volume of each cylinder is equal, so total volume of six cylindrical post :
_____________________________
Step-by-step explanation:
it is a box or prism.
the volume is simply
length × width × height
in our case
8m × 6m × 5m = 240 m³
doubled dimensions means
16m × 12m × 10m = 1920 m³
the difference is
1920 - 240 = 1680 m³
we could have gotten the new volume also based on the original volume :
2×8m × 2×6m × 2×5m = 8m×6m×5m × 2×2×2 =
= the original volume (240 m³) × 8 = 1920 m³
<span>To find the area of a two dimensional triangle we multiply one half of the base width by the base height so lets start with finding the area of a two dimensional part of the triangular prism. </span>
Answer:
Kenyan French Roast coffee x=6
Sumatran coffee y=14
Step-by-step explanation:
x+y=20 blend coffee
8x+7y=7.3(20) selling price
x+y=20 ⇒ x=20-y
substitute in the equation:
8x+7y=7.3(20)
8(20-y)+7y=7.3(20) for 20 pound blend
160-8y+7y=146
-y=146-160
y=14 pond
x+y=20
x=20-14=6
check : 14*7+6(8)=146/7.3=20 pound
