2 You hang two strands of Decorative light strand one change color every 30 seconds straight to change every 45 seconds both str
1 answer:
You might be interested in
Answer:
The ball reached its maximum height of () in (
).
Step-by-step explanation:
This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.
The first step in completing the square is to group the quadratic and linear term:
Now factor out the coefficient of the quadratic term:
After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:
Now take the balancing term out of the parenthesis:
Simplify:
The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:
1. 14 loaves are needed for 63 customers
2. 90 loaves
3. 4.5 loaf
Step by Step:
9/2= 4.5
4.5x4= 18
27/4.5=6
14x4.5=63
I multiplied and divided everything by 4.5 so one loaf of bread is 4.5.
(Correct me if I'm wrong)
I hope this helped! :)
In one year, the Perseid meteor shower had a meteor appear every 1 1/5 minutes on average. That same year, the Leonid meteor shower had a meteor appear every 4 2/3 minutes on average. How many more meteors fell during the Perseid meteor shower?
Answer:
325,452 meteors
Step-by-step explanation:
We all know that :
We have 365 days in a year and in each day there are 24 hours, Likewise an hour has 60 minutes
SO, the total number of minutes in a year is :
365 × 24 × 60 = 525600 minutes
For Perseid meteor:
So one meteor fall at 1.2 minutes interval Thus, in a year, we will have :
1 meteor - 1.2 minutes.
x meteor - 525600 minutes.
1.2x = 525600
x = 438000
∴ 438,000 meteors fell during the Perseid shower.
For Leonid meteor shower:
So one meteor fall at 4.67 minutes interval Thus, in a year, we will have :
1 meteor - 4.67 minutes.
x meteors - 525600 minutes.
x = 112548
112,548 meteors fell during the Leonid Shower.
Finally , the numbers of more meteors that fell during the Perseid meteor shower is calculated by the difference in the number of Perseid meteor shower and Lenoid meteor shower. i.e
438,000 - 112,548 = 325,452
325,452 more meteors fell during the Perseid meteor shower