z equals -1 because 8 time negative one equals negative 8 plus 8 equals 0
I=ptr
i=(3000)(1461)(3.5%)
i=153405
his cost will be $153 405 by 4 years
Answer:
66 minutes, or 1 hour and 6 minutes.
Step-by-step explanation:
let us first do the rectangular aquarium:
8 x 10 = 80
80 x 14 = 1120
now the second box
23 x 25 = 575
575 x 33 = 18975
we can divide the boxes volume:
18975/575 = 33
so all we have to do is times 33 by 2 which equals:
66 minutes, or 1 hour and 6 minutes.
Answer:
y = (1/3)x + 7
Step-by-step explanation:
The general structure form of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
The slope of a perpendicular line is the opposite-signed, reciprocal of the original line's slope. Therefore, if the slope of the original line is m = -3, the new slope is m = 1/3.
The y-intercept can be found by plugging the new slope and the values from the point (-3, 6) into the slope-intercept form equation.
m = 1/3
x = -3
y = 6
y = mx + b <----- Slope-intercept form
6 = (-3)(1/3) + b <----- Insert values
6 = -1 + b <----- Multiply -3 and 1/3
7 = b <----- Add 1 to both sides
Now, that you have the slope and y-intercept, you can construct the equation of the perpendicular line.
y = (1/3)x + 7
Answer:
x^2 - 81
Step-by-step explanation:
There is a formula called the difference of squares, which is
(a+b)(a-b) = a^2 - b^2