Answer:
The value of u are,
0.93, -12.93
Step-by-step explanation:
It is given an expression in variable u
(u + 6² + 4 = 52
<u>To find the solution of given expression</u>
(u + 6)·² + 4 = 52
(u + 6)² = 52 - 4
(u + 6)² = 48
u + 6 = √48
u + 6 = ±6.93
u = ±6.93 - 6
u = 6.93 - 6 or u = -6.93 - 6
u = 0.93 or u = -12.93
Answer:
The answer is 3
Step-by-step explanation:
I used the equation y/x. (Use the differences between two rows.)
Answer:
A) 25
B) 4
C) 0.25
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Answer:
Step-by-step explanation:
Given:
elongation, x = 0.50 in
Force, f = 9000 lb
Young modulus, E = 10,000,000 psi
Maximum Stress, Sm = 30000 psi
Length, L = 16 ft
Converting ft to in,
12 in = 1 ft
=16 × 12 = 192 in
Young modulus, E = stress/strain
Stress = force/area, A
Strain = elongation, x/Length, L
E = f × L/A × E
1 × 10^7 = stress/(0.5/16)
= 26041.7 psi
Minimum stress = 26041.7 psi
Maximum stress = 30,000 psi
Stress = force/area
Area = 9000/26041.7
= 0.3456 in^2
Stress = force/area
Area = 9000/30000
= 0.3 in^2
Using minimum area of 0.3 in^2,
A = (pi/4)(d^2)
0.3 in^2 = (pi/4)(d^2)
d = 0.618 inches
diameter, d = 0.618 inches
Answer:
u = 12, v= 15
Step-by-step explanation:
Given the system of simultaneous equation:
1/6 u− 1/3 v=−3... (1)
0.2u+0.1v=3.9...(2)
Rewriting both equation as fraction
1/6 u− 1/3 v=−3
1/5 u + 1/10 v = 39/10
Multiplying equation (1) by 6 and (2) by 10 we have:
u - 2v = -18... (3)
2u + v = 39...(4)
Using elimination method, we will first multiply equation (3) by 2 and (2) by 1 to have:
2u-4v = -36 ...(5)
2u+v = 39...(6)
Subtracting (5) from (6);
-4v-v = -36-39
-5v = -75
v = -75/-5
v = 15
Substituting v = 15 into equation (3) to get u we have:
u - 2(15) = -18
u - 30 = -18
u = -18+30
u = 12
The solution to the system of simultaneous equation are u = 12 and v = 15
