Remember that finding terms in a geometric sequence is done by multiplying the previous term by a common ratio 
. For example, we can say:
We have 
. To find 
, let's multiply this term by 
:
Now, let's use this to find all of our other terms:
Thus, our terms are 64, 80, 100, 125, and (625/4).
We have the following expression:
By combining similar terms, we get
now, 2 times 3 is 6 and to add exponents, both the exponents and variables should be alike:
Similarly,
Therefore, the answer is
Answer:
27 inches
Step-by-step explanation:
To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.
The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:
cos(48) = height / diagonal
0.6691 = 18 / diagonal
diagonal = 18 / 0.6691 = 26.9 inches
Rounding to the nearest inch, the diagonal of the canvas measures 27 inches
<h2>
Answer: g(f(2)) = 11</h2>
Step-by-step explanation:
g(f(2)) is substituting the value of f(2) for x in g(x). But we must first find f(2).
We know that f (x) = ax² - 12
Since f(3) = 24
⇒ a(3²) - 12 = 24
9 a = 36
a = 4
∴ f(2) = (4)(2²) - 12
= 4
⇒ g(f(2)) = 2(4) + 3
= 11
Answer:
4.87500
Step-by-step explanation:
hope this helps
