Answer:

Step-by-step explanation:
Given:
Consecutive Terms: k-5, k+7, k+55
Required:
Determine the value of k
To do this, we make use of the concept of common ratio.
The common ratio (r) of a geometric sequence is:

In other words:

Where 1, 2 and 3 represents the terms of the progression/sequence
So:
becomes

Cross Multiply:

Open Brackets


Collect Like Terms


Solve for k


Answer:
<h2>-4</h2>
Step-by-step explanation:
Given the function f(x)=(x+4)², <u>the x intercept occurs at f(x) = 0,</u> substituting f(x) = 0 into the given equation to get the value of x we have;

Taking the square root of both sides

Subtracting 4 from both sides of the equation

Therefore the x intercept of the equation is -4
<span>The number of cell phone minutes used by high school seniors follows a normal distribution with a mean of 500 and a standard deviation of 50. what is the probability that a student uses more than 580 minutes?
Given
μ=500
σ=50
X=580
P(x<X)=Z((580-500)/50)=Z(1.6)=0.9452
=>
P(x>X)=1-P(x<X)=1-0.9452=0.0548=5.48%
</span>
Answer:
8.8
Step-by-step explanation:
Normally, to find the distance between two points, you would use the distance formula, but these two points have the same x-coordinate, meaning they will form a vertical line when connected. To find the length of a vertical line you find the distance between the y-coordinates, in this case -4.7 and 4.1. Finding the distance is the same as finding the absolute value of the difference:
|4.1 -(-4.7)|
|4.1 + 4.7|
|8.8|
8.8
Answer:
Hope that answers your question, good luck in the future