For this case we have to:
x: Represents the unknown number
y: Represents the exponent of base 10
So, considering a system of equations we have:
![x * 10 ^ y = 40,000\\\frac {x} {10 ^ y} = 0.000004](https://tex.z-dn.net/?f=x%20%2A%2010%20%5E%20y%20%3D%2040%2C000%5C%5C%5Cfrac%20%7Bx%7D%20%7B10%20%5E%20y%7D%20%3D%200.000004)
From the first equation we have:
![10 ^ y = \frac {40,000} {x}](https://tex.z-dn.net/?f=10%20%5E%20y%20%3D%20%5Cfrac%20%7B40%2C000%7D%20%7Bx%7D)
Substituting in the second equation:
![\frac {x} {\frac {40,000} {x}} = 0.000004\\\frac {x ^ 2} {40,000} = 0.000004\\x ^ 2 = 40,000 * 0.000004\\x ^ 2 = 0.16\\x = \pm \sqrt {0.16}](https://tex.z-dn.net/?f=%5Cfrac%20%7Bx%7D%20%7B%5Cfrac%20%7B40%2C000%7D%20%7Bx%7D%7D%20%3D%200.000004%5C%5C%5Cfrac%20%7Bx%20%5E%202%7D%20%7B40%2C000%7D%20%3D%200.000004%5C%5Cx%20%5E%202%20%3D%2040%2C000%20%2A%200.000004%5C%5Cx%20%5E%202%20%3D%200.16%5C%5Cx%20%3D%20%5Cpm%20%5Csqrt%20%7B0.16%7D)
We choose the positive value:
![x = 0.4](https://tex.z-dn.net/?f=x%20%3D%200.4)
So, the number is 0.4.
So:
![10 ^ y = \frac {40,000} {0.4}\\10 ^ y = 100,000\\y = 5](https://tex.z-dn.net/?f=10%20%5E%20y%20%3D%20%5Cfrac%20%7B40%2C000%7D%20%7B0.4%7D%5C%5C10%20%5E%20y%20%3D%20100%2C000%5C%5Cy%20%3D%205)
Thus, the exponent is 5.
Answer:
Yara use 0.4 and![10 ^ 5](https://tex.z-dn.net/?f=10%20%5E%205)
Answer: Assuming that event A has occurred
Step-by-step explanation:
<span>In addition to linear, quadratic, rational, and radical functions, there are exponential functions. Exponential functions have the form f(x) = <span>bx</span>, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base and x is called the exponent.</span>
<span>An example of an exponential function is the growth of bacteria. Some bacteria double every hour. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours. This can be written as f(x) = 2x.</span>
<span>Before you start, f(0) = 2<span>0 </span>= 1</span>
<span>After 1 hour f(1) = 21 = 2</span>
<span>In 2 hours f(2) = 22 = 4</span>
<span>In 3 hours f(3) = 23 = 8</span>
and so on.
<span>With the definition f(x) = <span>bx</span> and the restrictions that b > 0 and that b ≠ 1, the domain of an exponential function is the set of all real numbers. The range is the set of all positive real numbers. The following graph shows f(x) = 2x.</span>
<span> </span>
Answer:
Is an arithmetic sequence
Step-by-step explanation:
This is an arithmetic sequence, because it is a sequence of numbers in which the common difference between consecutive terms is 5