0.95
The graph will show exponential growth.
The graph will appear linear.
The domain will be the set of natural numbers.
The range will be the set of natural numbers.
The graph will show exponential decay.
Answer:
Option 3 and 5 are correct
Step-by-step explanation:
We have given a geometric series 640,160,40,10....
Common ratio of geometric series is
Here our common ratio is less than zero
It will show the graph of exponential decay
Hence, option 5 is correct.
The general term of geometric series is
Domain will be all natural numbers since, geometric series take only natural numbers.
Here, values of "n" is domain
Hence, option 3 is correct.
Range can be any positive real numbers not only natural number
Range is the value of
Hence, option 4 is discarded.
Graph can not be linear of a geometric series being exponential
Hence, option 2 is discarded.
Option 1 is discarded because it is exponential decay function so it can not be exponential growth.
Therefore, Option 3 and 5 are correct.
Answer:
The options that hold true are:
Step-by-step explanation:
We are given a geometric sequence as:
640, 160, 40, 10, ...
Clearly we see that each term is decreasing at a constant rate as compared to it's preceding term.
Hence, the graph formed by this sequence will be a exponential graph with decay .
( since, the terms of the sequence are decreasing)
The sequence could be modeled as:
Let represents the nth term of the sequence.
Hence,
As, the sequence is geometric hence the domain will be a set of natural numbers.
but the range will be positive real numbers.
Hence, the correct option is:
The domain will be the set of natural numbers.
The graph will show exponential decay
Answer:a group of investments that mabny individual investors hold in common
Step-by-step explanation:
B.)$195.70
C.)$195
Answer:
The correct option is B.
Step-by-step explanation:
The old balance of kenneth's checkbook was $545.95.
Kenneth has entered a check payment of $350.25 in his checkbook.
It means the balance of checkbook is reduced by $350.25.
The latest balance of check book is
Therefore the latest balance of kenneth's check book is $195.70. Option B is correct.
The required height of the tree is 32.5 meters.
Given that,
A person 100 meters from the base of a tree, observes that the angle between the ground and the top of the tree is 18 degrees. To estimate the height h of the tree to the nearest tenth of a meter.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
let the height of the tree be x, and the slant height from the foot of the person to the top of the tree be h,
according to the question,
base length = 100
cos 18 = 100 / h
h = 105.14
Now,
sin 18 = x / h
sin 18 = x / 105.14
x = 32.5 meters
Thus, the required height of the tree is 32.5 meters.
Learn more about trigonometry equations here:
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This is right angle trig. We know that...
cos(18°) x hypotenuse = 100
hypotenuse = 100/cos(18°)
hypotenuse = 105.15 meters approx.
Because they want the height of the tree we want "sin(18°) x hypotenuse".
sin(18°) x 105.15 = 32.5 meters approx.
answer: 32.5 meters approx.
I think it is :.
But...not really sure