Answer:
A. 7,348
Step-by-step explanation:
P = le^kt
intitial population = 500
time = 4 hrs
end population = 3,000
So we have all these variables and we need to solve for what the end population will be if we change the time to 6 hours. First, we need to find the rate of the growth(k) so we can plug it back in. The given formula shows a exponencial growth formula. (A = Pe^rt) A is end amount, P is start amount, e is a constant that you can probably find on your graphing calculator, r is the rate, and t is time.
A = Pe^rt
3,000 = 500e^r4
now we can solve for r
divide both sides by 500
6 = e^r4
now because the variable is in the exponent, we have to use a log
ln(6) = 4r
we can plug the log into a calculator to get
1.79 = 4r
divide both sides by 4
r = .448
now lets plug it back in
A = 500e^(.448)(6 hrs)
A = 7351.12
This is closest to answer A. 7,348
Answer:
(y+8) (y-3)
Step-by-step explanation:
y2+5y-24
=y2+8y-3y-24
=y(y+8)-3(y+8)
=(y+8) (y-3)
The integers are x, x + 2 and x + 4
x + x + 2 + x + 4 = 72
3x + 6 = 72
3x = 72 - 6 = 66
x = 66/3 = 22
The least consecutive integer is 22
The second consecutive integer is 24
Therefore, the numbers are 22, 24 and 26
Answer:Least common multiple (LCM) of 3 and 4 is 12. Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor. Least Common Multiple of 3 and 4 with GCF Formula.
Step-by-step explanation:
At a z-score of 1.80, the percentage of the scores that are better than yours is equal to 3.59%.
<h3>What is a z-score?</h3>
In Mathematics, a z-score is sometimes referred to as a z-value or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
<h3>How to determine the percentage?</h3>
Mathematically, the z-score of a given sample score in a normal distribution can be calculated by using this formula:
Z-score = (x - μ)/σ
Where:
- x represents the sample score.
- σ represents the standard deviation.
- μ represents the mean score.
Since a score of 85 on a test corresponds to a z-score of 1.80, the percentage of the scores that are better than yours is given by:
P(x > 85) = P(z > 1.80)
P(z > 1.80) = 0.0359
P(z > 1.80) = 3.59%.
Read more on z-scores here: brainly.com/question/26714379
#SPJ1
