Given:
Consider the equation is:
Some steps of the solution are given.
To find:
The next step of the solution.
Solution:
Step 1: The given equation is:
Step 2: Simplifying right hand side.
Step 3: Simplifying left hand side.
These steps are already given. So, the next step is:
Step 4: Subtracting 3 from both sides.
Therefore, the correct option is (b).
Answer:Percent ≈ 66.6667
Step-by-step explanation:
To calculate the percent of any number, you multiply the value (n) by the percent (p) and then divide the product by 100 to get the answer, like this:
(n × p) / 100 = Answer
In our case, we know that the initial value (n) is 120 and that the answer (amount of decrease) is 80 to get the final value of 40. Therefore, we fill in what we know in the equation above to get the following equation:
(120 × p) / 100 = 80
Next, we solve the equation above for percent (p) by first multiplying each side by 100 and then dividing both sides by 120 to get percent (p):
(120 × p) / 100 = 80
((120 × p) / 100) × 100 = 80 × 100
120p = 8000
120p / 120 = 8000 / 120
p = 66.6666666666667
Percent ≈ 66.6667
That's all there is to it! The percentage decrease from 120 to 40 is 66.6667%. In other words, if you take 66.6667% of 120 and subtract it from 120, then the difference will be 40.
Answer:
h = height reached
-16 t^2 = 1/2 g t^2 where g = 32 ft/sec^2
v t = height due to original vertical speed v
s = initial height
1. -45 = -16 t^2 + 62 t + 0 measuring height from original height
solving quadratic
2. t = 4.5 sec
3. time to reach max height = v / g = 62/32 = 1.94 sec
H (above release point) = -16 (1.94^2) + 62 * 1.94 = 60 ft
4. 2 * 1.94 = 3.88 solved in part 3
5. 1.94 solved on part 3
Check: time to fall 60 + 45 ft = 105 ft
105 = 1/2 g t^2
t = (210 / 32)^1/2 = 2.56 sec
total time = 2.56 * 1.94 = 4.5 sec time to fall + rise time
-45 = -16 * 4.5^2 + 62 * 4.5
-45 = -324 + 279 = -45 checking time to reach -45 feet using given equation
Each equation is a line and therefore will intercept each other at a single point. These points converge where the two y values are the same as that will produce the same coordinate. Therefore, we find the place where the two y values are equal to each other by setting the equations equal to each other.
Answer:22%
Step-by-step explanation:
