Hello from MrBillDoesMath!
Answer:
4x - 3
Discussion:
Factor 4x^2+5x - 6 = (4 x - 3) (x + 2) => factor lhs
so
(4x2 + 5x - 6) / (x + 2) = (4x -3) (x + 2) / (x+2)
Cancel the common factor (x+2) to get
(4x2 + 5x - 6) / (x + 2) = 4x - 3
Thank you,
MrB
Here is the answer.
You gotta move to the right 3 times
The probability that if you buy two dozen eggs, none of your eggs will be cracked is 94.09% if the 3 percent of the eggs supplied to a supermarket are cracked.
<h3>What is probability?</h3>
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
3 percent of the eggs supplied to a supermarket are cracked.
The probability that no eggs are cracked = 1 - 0.03 = 0.97
The probability that if you buy two dozen eggs, none of your eggs will be cracked:
= 0.97×0.97
= 0.9409
= 94.09%
Thus, the probability that if you buy two dozen eggs, none of your eggs will be cracked is 94.09% if the 3 percent of the eggs supplied to a supermarket are cracked.
Learn more about the probability here:
brainly.com/question/11234923
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Area of the shaded region is 2868.61 square inches.
Solution:
Diameter of the smaller circle = 20.4 in
Radius of the smaller circle = 20.4 ÷ 2 = 10.2 in
Area of the smaller circle = πr²
= 3.14 × (10.2)²
Area of the smaller circle = 326.6856 in²
Radius of the larger circle = (10.2 + 21.7) in = 31.9 in
Area of the larger circle = πR²
=3.14 × (31.9)²
Area of the larger circle = 3195.2954 in²
Area of shaded region = Area of larger circle – Area of smaller circle
= 3195. 2954 in² – 326.6856 in²
= 2868.6098 in²
= 2868.61 in²
Area of the shaded region is 2868.61 square inches.
Answer:
TRUE
Step-by-step explanation:
A complex number is represented as z = x + iy
Given the complex number -5i, this can also be written as;
z = 0-5i
Get the modulus
|z| = √0²+(-5)²
|z| = √25
|z| = 5
Get the argument
theta = arctan(y/x)
theta = arctan(-5/0)
theta = arctan(-∞)
theta = -90degrees
Since tan is negative in the 2nd and fourth quadrant
in the fourth quadrant, theta - 360 - 90
theta = 270 degrees
Express in polar form;
z = |z|(cos theta + i sintheta)
z = 5(cos270°+ison270°)
Hence the statement given is TRUE