Answer:45.66
Step-by-step explanation: Simplify the expression.
Hope this helps you out! ☺
Simplify by combining like terms to
-n+4=8n-5
subtract 8n from both sides
-n+4-8n=8n-5-8n
-9n+4=-5
subtract 4 from both sides
-9n+4-4=-5-4
-9n=-9
Divide both sides by -9
-9n/-9=-9/-9
n=1
hope this helps!
Answer: 1/7 X 3/8 = 3/56
Step-by-step explanation:
Area of a rectangle is equal to Length multiplied by Width.
Area of this rectangle is equal to 1/7 X 3/8 which is equal to 3/56
By using Euler's notation, we will see that:
z^7 = 78,125*e^(-i*4.48)
<h3>
How to get z^7?</h3>
We know that:
z = 4 - 3i
Remember that for a complex number:
w = a + bi
In Euler's notation, we can write this as:
w = √(a^2 + b^2)*e^(i*Atan(b/a))
Then, for z, we will get:
z = √(4^2 + (-3)^2)*e^(i*Atan(-3/4))
z = 5*e^(-i*0.64)
Now, if we apply an exponent of 7 to this number, we will get:
z^7 = ( 5*e^(-i*0.64))^7
z^7 = 5^7*e^(-i*7*0.64) = 78,125*e^(-i*4.48)
If you want to learn more about complex numbers, you can read:
brainly.com/question/10662770
Answer:
And we can use the following formula:
And replacing the info we got:
Step-by-step explanation:
We define two events for this case A and B. And we know the probability for each individual event given by the problem:
And we want to find the probability that A and B both occurs if A and B are independent events, who menas the following conditions:
And for this special case we want to find this probability:
And we can use the following formula:
And replacing the info we got:
