The sum of any geometric sequence (if it converges, r^2<1) is of the form:
s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=number of terms...
s(n)=30(1-0.4^n)/(0.6)
s(n)=50(1-0.4^n)
Since r<1 the sum of the infinite series is just:
s=50
Step-by-step explanation: The place value chart can help us write a number in expanded notation. When we put 2,930,365 into the place value chart, we can recognize that our number is equal to 2 millions + 9 hundred thousands + 3 ten thousands + 0 thousands + 3 hundreds + 6 tens + 5 units.
The place value chart is attached in the image provided.
Number of red marbles in bag = r. b = 10-rProbability of first marble being red: r/10Second marble being red: (r-1)/9total probability = 2/15 = (r-1)*r/90r = 4b = 6
Answer:
what
Step-by-step explanation:
Answer:
g(x) = ![2(\sqrt[3]{x})](https://tex.z-dn.net/?f=2%28%5Csqrt%5B3%5D%7Bx%7D%29)
Step-by-step explanation:
Parent function given in the graph attached is,
f(x) = ![\sqrt[3]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D)
Function 'f' passes through a point (1, 1).
If the parent function is stretched vertically by 'k' unit,
Transformed function will be,
g(x) = k.f(x)
Therefore, the image of the parent function will be,
g(x) = ![k(\sqrt[3]{x})](https://tex.z-dn.net/?f=k%28%5Csqrt%5B3%5D%7Bx%7D%29)
Since, the given function passes through (1, 2)
g(1) =
= 2
⇒ k = 2
Therefore, image of the function 'f' will be,
g(x) = ![2(\sqrt[3]{x})](https://tex.z-dn.net/?f=2%28%5Csqrt%5B3%5D%7Bx%7D%29)