Answer:
Step-by-step explanation:
Sam bought a chocolate. He ate some and leaving 0.75 for Alice.
Alice ate 18.50 grams of chocolate and return the rest to Sam, which was 65% of the original chocolate. How much chocolate did Sam had at the beginning?
Now solve the equation:
0.75x - 18.50 = 0.65x
Combine the like terms:
0.75-0.65x = 18.50
0.1x= 18.50
x = 18.50/0.1
x=185
This shows that Sam had 185 grams of chocolate...
Projectile motion is characterized by a motion that has two vector forces: the velocity along the x and y directions. As a result, the motion follows an arc-shaped direction. These two directions are actually independent of each other.
There are already derived equations for this so it is already convenient. However, your given equation for range is incomplete. The correct equation is:
R = v₀²sin2θ/g
where
R = 140 ft
v₀ = 120 ft/s
g = 32.2 m/s²
Substituting the values,
sin 2θ = Rg/v₀²
sin 2θ = (140)(32.2)/(120²)
sin 2θ = 0.313
2θ = sin ⁻¹ (0.313)
2θ = 18.24°
θ =18.24°/2
θ = 9.12°
Just use the coefficients for each variable and put it in a matrix. Is the second question set equal to something? Because then you would put it in place as the question mark. (Did the pic come through?)
So the 3x3 matrix is made up of the coefficients and then to augment the matrix, you add another column at the end with the solutions. Good luck!
The rate of change or slope is 6 inches or half a foot per year. The initial value, or y intercept is 7 ft. Plug this into mx+b form to get y=.5x+7
