Yes because 10 to the power of 2 is 100 and if she runs 15 minutes a day for 7 days that would = 105 minutes
Answer:
the answer is 2 + i.
Step-by-step explanation:
Let the square root of 3 + 4i be x + iy.
So (x + iy) (x +iy) = 3 +4i
=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i
=> x^2 – y^2 + 2xyi = 3 + 4i
Equate the real and complex terms
=> x^2 - y^2 = 3 and 2xy = 4
2xy = 4
=> xy = 2
=> x = 2/y
Substitute in
=> x^2 - y^2 = 3
=> 4/y^2 - y^2 = 3
=> 4 – y^4 = 3y^2
=> y^4 + 3y^2 – 4 = 0
=> y^4 + 4y^2 – y^2 – 4 =0
=> y^2(y^2 + 4) – 1(y^2 + 4) =0
=> (y^2 – 1) (y^2 + 4) =0
Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.
Therefore y = 1 and x = 2/1 = 2
The required square root of 3 + 4i is 2 + i.
Solution:
Given:
The marble has 2 outcomes (blue and pink)
The die has 6 outcomes (1,2,3,4,5, and 6)
The spinner has 2 outcomes (u and v)
The total possible outcomes are;
Hence, there are 10 possible outcomes.
The value of the unknown variable "x" given that -6x + 3= 45 is -7
Equations are expressions separated by an equal sign. They can contain one or more variables.
The equation given in question is a linear equation containing one unknown variable "x".
The equation is expressed as -6x + 3 = 45
To get the value of x, we will follow the steps below:
Step 1: Subtract 3 from both sides of the equation
-6x + 3 - 3 = 45 - 3
-6x = 42
Step 2: Divide both sides of the expression by -6
-6x/-6 =42/-6
x = -7
This shows that the value of the unknown variable "x" is -7.
Learn more here: brainly.com/question/2159099
I’m pretty sure it’s the third option
