89.00 times .75 (new cost of item is 75% of original) =
66.75
therefor you answer is
D) $66.75
Answer:
(0,-5) and (0,5).
Step-by-step explanation:
We have been given that an equation of hyperbola .
First of all we will convert our given equation into the standard form of hyperbola.
Let us divide both sides of our equation by 100.
Since we know that the positive term in the equation of a hyperbola determines whether the hyperbola opens in the x-direction or in the y-direction. Our hyperbola has a positive term, so it opens in the y-direction (up and down).
The equation of a vertical hyperbola is :, where -a and a are vertices of our hyperbola.
Upon comparing our equation with vertical hyperbola equation we can see that vertices of our hyperbola will be (0.-5) and (0,5).
Answer:
132 feet
Step-by-step explanation:
Given that Alejandro is standing at a distance of 140 feet from the base of the tree and his eyes are 6 feet above the ground.
Let AB is the height of the tree and point E is the location of his eyes which is 6 feet above from C on the ground as shown in the figure.
The distance between points A and C, AC=140 feet.
Drawing a horizontal line from point E which meets AB at point D as shown.
As ACED forms a rectangle, so
AC=DE=140 feet ...(i)
CE=AD= 6 feet ...(ii)
The height of the tree, AB=AD+DB
By using equation (ii), AB=6+DB ...(iii)
Now, given that the on watching the top of the tree, the reading on the clinometer is 42 degrees.
So,
In triangle DEB,
[from (i)]
feet
From equation (iii) the height of the tree is
AB=6+126=132 feet.
Hence, the height of the tree is 132 feet.
Answer:
2^-84
Step-by-step explanation:
First simplify inside the parentheses
2^-10 / 4^2
Rewriting 4 as 2^2
2^-10 / 4^2^2
We know that a^b^c = a^(b*c)
2^-10 / 2^(2*2) = 2^-10 / 2^4
We know that a^b / a^c = a^(b-c)
2^-10 / 2^4 = 2^(-10-4) = 2^-14
Replace the term in side the parentheses with 2^-14
2^-14 ^7
We know that a^b^c = a^(b*c)
2^(-14*7)
2^-84
A proportion between two variables can be represented as:
y = kx, where y is the dependent variable, x is the independent variable, and k is a constant.
In this question:
M = dependent variable (depends on the number of tickets sold)
t = independent variable
k = constant
Substituting the values in the equation:
M = kt
Answer:
M = kt