Newton’s second law for the system of two boxes in the x-direction is given by:
F - f
k = (m + M )a
F - µk (m + M )g = (m + M )a
⇒ a = (F/m + M) - µkg = (150N / (4kg+10kg)) - 0.6(9.8m/s² ) = 4.83m/s²
For the top box, we get fs = ma = 4kg x 4.83m/s² =19.3N
Answer is C.
For every option, sub in the value and find the answer that matches the equation!
Example for option A, F(x) = x + 4 and G(x) = x²
G(F(x)) = G(x + 4) ーー> sub in the value of F(x)
Let's take the subbed in value, (x + 4) as x, and this x will be the x for G(x).
∴ Since G(x) is x²
G(x + 4) = (x + 4)² ーー> remember (x + 4) is represented as x.
= x² + 16
∴ You know that the answer is not A, do this for all options and you'll find the answer, C!
Answer:
Step-by-step explanation:
xy + 2z = (-2)*4 + 2*(-5)
= -8 + (-10)
= -18
Answer:
192 is the missing number in the sequence.
Step-by-step explanation:
Given sequence is 131, 517, ?, 123.
First write the numbers without comma as 131517?123.
Break it in two digit numbers as 13, 15, 17, _ _ 23
Complete the sequence with the missing two digit odd numbers.
13, 15, 17, 19, 21, 23
Now rewrite the sequence without comma again.
131517192123
Place the comma after every three digits.
131, 517, 192, 123
Therefore, the missing number is 192.
Answer:
y/x = (a + b) / (m + n)
Step-by-step explanation:
-(xb − ym) = -yn + xa
Distribute:
-xb + ym = -yn + xa
Combine like terms:
ym + yn = xa + xb
Factor:
y (m + n) = x (a + b)
Rearrange:
y/x = (a + b) / (m + n)