Answer:
C. The 6th term is positive/negative 80
Step-by-step explanation:
Given
Geometric Progression
Required
To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;
To solve the common ratio;
Divide the 7th term by the 5th term; This gives
Divide the numerator and the denominator of the fraction by 40
----- equation 1
Recall that the formula of a GP is
Where n is the nth term
So,
Substitute the above expression in equation 1
becomes
Square root both sides
r = ±
Next, is to solve for the first term;
Using
By substituting 160 for T5 and ± for r;
We get
Multiply through by 16
Now, we can easily solve for the 6th term
Recall that the formula of a GP is
Here, n = 6;
r = ±
So,
or 
or 
or 
±80
Hence, the 6th term is positive/negative 80
So to solve for x, you'll need to combine all the angles and equal it to 720, and from there we can solve.
Combine like terms to get
Subtract 470 on each side to get
Then just divide on each side and you'll get
To find the value of the (x+10) angle, just substitute 125 for x and solve.
Hi Brielle the correct answer to your question is 3.12 x 4.0 = 12.48
We can get the Circumference of a circle with the diameter by using the formula:
Circumference = Diameter * pie
Where, pie = 22/7 = 3.14
Hope this helps!
The function with the smallest rate of change is B.
Rate of change is like slope, the vertical change over the horizontal change.
The horizontal change for each of these choices will be ONE since 3-2 = 1.
Plug 2 in for x to find y, then plug 3 in for x and find y. Subtract the y values and you will get the rate of change as follows:
A) 30
B) 7
C) 192
D) 12
If you need more explaining just let me know.
