Answer:
(M)_a = -8171 lb-ft
Step-by-step explanation:
Step 1:
- We will first mark each weight from left most to right most.
Point: Weight: Moment arm r_a
G_3 W_g3 = 169 30*Cos(75) + 4.25
G_2 W_g2 = 220 30*Cos(75) + 2.5
G_1 W_g1 = 1500 10*cos(75)
Step 2:
- Set up a sum of moments about pivot point A, the expression would be as follows:
(M)_a = -W_g3*(30cos(75) + 4.25) - W_g2*(30*Cos(75) + 2.5) - W_g1*10*cos(75)
Step 3:
- Plug in the values and solve for (M)_b, as follows:
(M)_a = -169*(30cos(75) + 4.25) - 220*(30*Cos(75) + 2.5) - 1500*10*cos(75)
(M)_a = -2030.462559 -2258.205698 - 3882.285677
(M)_a = -8171 lb-ft
The answer is log3 k to the seventh power m to the sixth power over n to the ninth power
a * logₓ(y) = logₓ(yᵃ)
7 log₃ (k) = log₃ (k⁷)
6 log₃ (m) = log₃ (m⁶)
9 log₃ (n) = log₃ (n⁹)
7 log₃ (k) + 6 log₃ (m) - 9 log₃ (n) = log₃ (k⁷) + log₃ (m⁶) - log₃ (n⁹)
logₓ(y) + logₓ(z) = logₓ(y * z)
log₃ (k⁷) + log₃ (m⁶) - log₃ (n⁹) = log₃ (k⁷ * m⁶) - log₃ (n⁹)
logₓ(y) - logₓ(z) = logₓ(y / z)
log₃ (k⁷ * m⁶) - log₃ (n⁹) = log₃ (k⁷ * m⁶ / n⁹)
Hello!
The graph, (2/5)^x is an exponential function.
Since there is not a negative symbol in the front of the function, options A and B are incorrect.
For option 3 to be correct, there would need to be a negative symbol in front of the exponent, x.
So therefore, the answer option 4. (Also, I'll post a graph. :))
Answer:
136
Step-by-step explanation:
15/100×160
=24
pages that doesn't have pictures=160-24
=136
Answer:
3x - 4 =9
Step-by-step explanation:
divide the entire equation by 3
9x/3 - 12/3 = 36/3
3x - 4 = 9