Answer:
x = ±![5\sqrt{2}](https://tex.z-dn.net/?f=5%5Csqrt%7B2%7D)
Step-by-step explanation:
We have been given the quadratic equation;
![50-x^{2}=0](https://tex.z-dn.net/?f=50-x%5E%7B2%7D%3D0)
The first step is to subtract 50 from both sides of the equation;
![50-x^{2}-50=0-50](https://tex.z-dn.net/?f=50-x%5E%7B2%7D-50%3D0-50)
![-x^{2}=-50](https://tex.z-dn.net/?f=-x%5E%7B2%7D%3D-50)
Multiplying both sides by -1 yields;
![x^{2}=50](https://tex.z-dn.net/?f=x%5E%7B2%7D%3D50)
The final step is to obtain square roots on both sides;
![\sqrt{x^{2} }=\sqrt{50}\\x=+/-\sqrt{50}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E%7B2%7D%20%7D%3D%5Csqrt%7B50%7D%5C%5Cx%3D%2B%2F-%5Csqrt%7B50%7D)
Therefore, x = ±![5\sqrt{2}](https://tex.z-dn.net/?f=5%5Csqrt%7B2%7D)
Answer:
C.
The equation that represents this situation is -3x = 21. The second number is -7.
Step-by-step explanation:
It would take about 57 hours for the number of spores to be less than 500 spores.
<h3>
Exponential Function</h3>
An exponential function is in the form:
y = abˣ
Where y,x are variables, a is the initial value of y and b is the multiplication factor.
Let y is the number of pores after x hours.
a = 6200, b = 100% - 20% = 0.8, hence to be less than 500 spores:
![6200(0.8)^\frac{x}{5} < 500](https://tex.z-dn.net/?f=6200%280.8%29%5E%5Cfrac%7Bx%7D%7B5%7D%20%3C%20500)
(x/5) * ln(0.8) < ln(0.08)
x > 56.4 hours
It would take about 57 hours for the number of spores to be less than 500 spores.
Find out more on Exponential Function at: brainly.com/question/12940982
Answer:The probability of the complement of an event is one minus the probability of the event. Since the sum of probabilities of all possible events equals 1, the probability that event A will not occur is equal to 1 minus the probability that event A will occur.
Step-by-step explanation:Complement of an Event: All outcomes that are NOT the event. So the Complement of an event is all the other outcomes (not the ones we want). And together the Event and its Complement make all possible outcomes.