Answer:
22
Step-by-step explanation:
We are given the expression:—
When n = 5, substitute/change n to 5:—
Evaluate:—
__________________________________________________________
<u>Summary</u>
<u>Substitution</u>
Changing or replacing from a term to another terms/expression is called substitution.
Examples:—
If we are given the expression 
and we want to find the value when y = 4, simply replace y-term to 4.
__________________________________________________________
If you have any doubts regarding my answer/explanation, do not hesitate to ask in comment!
Answer:
a) $2.44 per cupcake
b) $2.33 per cupcake
c) $2.58 per cupcake
Step-by-step explanation:
We are given the following in the question:
We have to calculate the unit price of the cupcakes.
Unit price =
12 cupcakes for $29
Unit price =
24 cupcakes for $56
Unit price =
50 cupcakes for $129
Unit price =
Here, v - w would be (6-1, 3-[-2]), or (5, 5).
I don't believe you need the word "result" here. At first I thought you'd meant "resultant." Here you're finding the "difference" v less w.
Answer:
a. h = 60t − 4.9t²
b. 12.2 seconds
c. 183.7 meters
Step-by-step explanation:
a. Given:
y₀ = 0 m
v₀ = 60 m/s
a = -9.8 m/s²
y = y₀ + v₀ t + ½ at²
h = 0 m + (60 m/s) t + ½ (-9.8 m/s²) t²
h = 60t − 4.9t²
b. When the ball lands, h = 0.
0 = 60t − 4.9t²
0 = t (60 − 4.9t)
t = 0 or 12.2
The ball lands after 12.2 seconds.
c. The maximum height is at the vertex of the parabola.
t = -b / (2a)
t = -60 / (2 × -4.9)
t = 6.1 seconds
Alternatively, the maximum height is reached at half the time it takes to land.
t = 12.2 / 2
t = 6.1 seconds
After 6.1 seconds, the height reached is:
h = 60 (6.1) − 4.9 (6.1)²
h = 183.7 meters
Answer:
The formula for the volume of a sphere is V = 4/3 πr³
Step-by-step explanation:
