Answer:
905.14 m³
Step-by-step explanation:
Answer:
Step-by-step explanation:
4x -39 > -43 8x + 31 < 23
Add 39 to both sides Subtract 31 from both sides
4x -39 + 39 > -43 + 39 8x + 31 - 31 < 23 - 31
Simplify Simplify
4x > -4 8x < -8
Divide both sides by 4 Divide both sides by 8
4x / 4 > -4 / 4 8x / 8 < -8 / 8
Simplify Simplify
x > -1 x < -1
Answer: A
Answer:
W = 21.44*10⁶J
Step-by-step explanation:
Given
y = x² (0 < x < 4)
γ = 10000 N/m³
W = ?
If we apply
y = 4² = 16 = h
y = x² ⇒ x = √y
then
V = π*(√y)²*dy = π*y*dy
W = (γ*V) *(16-y) = γ*π*y*dy*(16-y)
⇒ W = γ*π*∫y*(16-y)dy = γ*π*(8y²-(y³/3))
finally we obtain (0 < y < 16)
W = γ*π*(8y²-(y³/3)) = 10000*π*(8*16²-(16³/3)) = 21.44*10⁶J
Answer:
x ≤ 204 crates
Step-by-step explanation:
Greatest weight of the container = 27500 kilograms
Weight of other shipment = 7100 kilograms
Weight of crates = 100 kilogram
x = number of 100 kilogram crates that can be loaded into the shipping container.
The inequality:
27500 ≤ 7100 + 100x
27500 - 7100 ≤ 100x
20,400 ≤ 100x
x ≤ 20,400 / 100
x ≤ 204 crates of 100 kilogram
Step-by-step explanation:
1/2 represents every fraction, where the denominator (bottom part) is twice the numerator (top part).
like 4/8 or 6/12 or 128/256 or ...
what do we need in the denominator to calculate with 15/16 ?
the same : 16.
and what is half of 16 ? 8.
so, we need the 1/2 based on 16th = 8/16.
so, the dog ate 8/16 (1/2) of the original 15/16.
what was left was
15/16 - 8/16 = 7/16 pound
