Suppose you wanted to calculate the geometric mean of the numbers 2 and 32. This simple example can be done in your head. First, take the product; 2 times 32 is 64. Because there are only two numbers, the nth root is the square root, and the square root of 64 is 8.
In accordance with the comparison of the given expression to the definition of <em>exponential</em> function, we conclude that the rate of growth is 1/6.
<h3>How to determine the rate of growth of an exponential function</h3>
In this question we need to analyze an <em>exponential</em> function of the form:
y = a · (1 + r)ˣ (1)
Where r is the <em>growth</em> rate. Please notice that there is a decay for r < 0. Thus, we find the following finding by comparing the given expression to (1):
y = 0.84 · (1 + 1/6)ˣ
In accordance with the comparison of the given expression to the definition of <em>exponential</em> function, we conclude that the rate of growth is 1/6.
To learn more on exponential functions: brainly.com/question/14355665
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Answer:
No, the answer is (-3/7, -33/7)
Step-by-step explanation:
y=-3x-6 can be rewritten as y+3x=-6
so, our two equations are:
1. y+3x=-6
2. 3y+2x=-15
we can multiply the first equation by 3.
1-1.3y+9x=-18
Now we can subtract the second equation from equation 1-1.
3y+9x=-18
<u>-(3y+2x=-15)</u>
7x=-3
x=-3/7
Now that we have x, let's plug it into an equation. I will plug it into the first equation.
y=-3(-3/7) - 6
y=9/7 - 6
y=-33/7
so the points are (-3/7, -33/7)
Answer:
$16,725.21
Step-by-step explanation:
To get the cost of the copper used for the sculpture, we must first determine the volume of the object which is given as a cone
Recall that the volume V of a cone
= 1/3Pir^2h
where r is the base radius and h is the height
Given that the sculpture is 67 inches tall, and its base has a radius of 15 inches, the volume of the sculpture
= 1/3 * 3.14 * 15^2 * 67
= 15,778.5 cubic inch
If copper costs 1.06$ per cubic inch, then the cost of the copper for the sculpture
= 15,778.5 * 1.06
= $16,725.21
Step-by-step explanation:
When multiplying two exponents together, you will be adding the exponents up.
So...
(6⁵)(6²) = 36⁷
