Answer:
Hey there!
We have an=a1(r^n-1), which is the formula for a geometric sequence.
The common ratio is 3, and 2 is the 1st term.
Thus, we have a1=2(3)^(n-1)
Hope this helps :)
4 square root of 3 over 9
Answer:
The area of the composite figure is 1360 ft.
Step-by-step explanation:
First, you should split up the composite figure into separate shapes.
So to find area of the triangle all the way on the left, you multiply base x height then divide by 2.
<u>30 x 34 = 1020 ÷ 2 = 520.</u>
Then, moving on to next shape, we can break up the trapezoid into a rectangle and a triangle.
To find area of the rectangle you multiply length x width.
<u>16 x 30 = 480.</u>
Finally, we have the last triangle right above the rectangle. Keep in mind that the rectangle does not have a length of 40!
You have to subtract 40 - 16 which equals 24.
<u>30 x 24 = 720 ÷ 2 = 360.</u>
Now that we have all 3 numbers, we simply add them all together and you will get an answer of 1360 ft.
Remember to label your answer!
Answer: -4
Step-by-step explanation:
(2x-6×2)(5×2×2)
-24+20
-4
The points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
<h3>System of equations</h3>
Given the following function
f(x) = - 0.5x + 2
g(x) = x^3 - 5x^2 + 3
The point of intersection is the point where f(x) = g(x)
x^3 - 5x^2 + 3 = - 0.5x + 2
x^3 - 5x^2 + 3 + 0.5x - 2 = 0
x^3 - 5x^2 + 0.5x + 1 = 0
Factorize and determine the value of x
x = 0.53 and 4.85
If x = 0.53
f(0.53) = -0.5(0.53) + 2
f(0.53) = -0.265 + 2
f(0.53) = 1.375
If x = 4.85
f(4.85) = -0.5(4.85) + 2
f(4.85) = -2.425 + 2
f(4.85) = -0.245
Hence the points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
Learn more on functions here: brainly.com/question/10439235
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