Answer:
0.14 lb . . . closest choice is 0.11 lb
Step-by-step explanation:
The inside and outside radii are 1/8 in and 3/8 in, respectively. Then the area of the top of the washer is ...
A = π(R² -r²) = π((3/8)² -(1/8)²) = π(9/64 -1/64) = π/8 . . . square inches
The height of the stack of 5 washers will be 5×(1/4 in) = 5/4 in. So, the volume of material in the stack of washers is ...
V = Bh = (π/8)(5/4) = 5π/32 . . . cubic inches
The weight of material is the product of volume and density, so is ...
W = (5π/32 in³)(0.285 lb/in³) ≈ 0.1399 lb ≈ 0.14 lb
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<em>Comment on the question</em>
Since this answer does not correspond to any of the offered choices, we suggest you ask your teacher to work this out for you. We suspect they will have difficulty justifying any of the answer choices shown here. (0.11 lb corresponds to 4 washers, not 5.)
Answer:help this kid
Step-by-step explanation:
Hello:
Use implicit differentiation : <span>y sin 12x = x cos 2y
y' sin12x+12ycos12x =cos2y -2x y'sin2y
when : x = </span>π/2 and y =π/4<span>
</span>y' sin12(π/2) +12(π/4)cos12(π/2) =cos2(π/4) -2(π/2) y'sin2(<span>π/4)
</span>y' sin(π/6) +(π/3)cos(π/6) =cos(π/2) - π y'sin(π/2)
y' (1/2) +(π/3)(√3/2) = - π
y' (1/2) =-(π/3)(√3/2) - π
y' = -π (1+√3)/3
an equation of the tangent line is : y- π/4 = ( -π (1+√3)/3)(x-<span>π/2)</span>
9514 1404 393
Answer:
a) (-5±√10)/3 ≈ {-2.721, -0.613}
b) (6±√21)/5 ≈ {0.283, 2.117}
Step-by-step explanation:
a) The relevant coefficients are ...
a = 3, b = 10, c = 5
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b) The relevant coefficients are ...
a = 5, b = -12, c = 3
