Answer:
The maximum height is 784 feet
Step-by-step explanation:
In this problem we use the kinematic equation of the height h of an object as a function of time
Where 
is the initial velocity and 
is the initial height.
We know that
Then the equation of the height is:
For a quadratic function of the form 
where 
the maximum height of the function is at its vertex.
The vertice is
In this case
Then the vertice is:
Now we calculate h (6)
The maximum height is 784 feet
74-34=20 so then y=20 because 20*2+34=74
IN other words
74-34=20
Answer:
Expression B: 0.8p
Expression D: p - 0.2p
Step-by-step explanation:
The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.
Expression A: 0.2p
Expression B: 0.8p
Expression C:1 - 0.2p
Expression D: p - 0.2p
Expression E: p - 0.8p
Which two expressions each represent the sale price of the item?
Regular price of the item = $p
Sale price = 20% off regular price
Sale price = $p - 20% of p
= p - 20/100 * p
= p - 0.2 * p
= p - 0.2p
= p(1 - 0.2)
= p(0.8)
= 0.8p
The sale price is represented by the following expressions
Expression B: 0.8p
Expression D: p - 0.2p
Part a is correct.
Part b can be done a couple ways.
1) Use binomial distribution. p = 0.2, n = 144
P(x>3) = 1 - P(x=0) -p(x=1) -p(x=2) -p(x=3)
where
2) Assume a normal distribution with mean = 28.2, stdev = 4.8
Look up z-value in normal table to find probability.
Hope that helps.
Answer:
D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Step-by-step explanation:
Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.
Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
