Answer:
x = 21
Step-by-step explanation:
Based on the inscribed angle theorem, we would have:
120° = 2(3x - 3)°
Solve for x
120 = 2*3x - 2*3
120 = 6x - 6
Add 6 to both sides
120 + 6 = 6x
126 = 6x
Divide both sides by 6
126/6 = x
21 = x
x = 21
The bacteria present at t=37 minutes is found to be 8.40, with no change in growth rate.
<h3>What does population growth exponentially mean?</h3>
When a population's per capita growth rate remains constant, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.
Given:
P = 340
It has been discovered that a specific bacterial population doubles in 20 minutes.
k = 2/20 = 0.1
t = 37 minutes
We know that,
P = P₀
340 = P₀(
)
340 =P₀(40.44)
P₀ = 8.40
As a result, the bacteria that will be present in t=37 minutes is found to be 8.40 with no change in growth rate.
Learn more about exponential growth here:
brainly.com/question/13223520
#SPJ9
x is the temperature and y is the number of swimmers. If there are 80 swimmers, then y = 80 instead of x = 80
This is how Corey should have solved
y = 1.505*x - 88.21
80 = 1.505*x - 88.21 <--- replace y with 80
1.505*x - 88.21 = 80
1.505*x = 80 + 88.21 <--- add 88.21 to both sides
1.505*x = 168.21
x = 168.21/1.505 <--- divide both sides by 1.505
x = 111.767
x = 111.8
If there are 80 swimmers at the pool, then the possible outside temperature is roughly 111.8 degrees F. This temperature seems awfully large, so it's possible that Corey's regression equation has limited scope; in other words, it isn't too useful if x is outside a given interval
<h2>
<em><u> </u></em><em><u>IF </u></em><em><u>YOU </u></em><em><u>DONOT</u></em><em><u> </u></em><em><u>WANT </u></em><em><u>TO </u></em><em><u>READ </u></em><em><u>SO </u></em><em><u>MUCH </u></em><em><u>THEN </u></em></h2>
<em><u>PLEASE</u></em><em><u> </u></em><em><u>SEE </u></em><em><u>THE </u></em><em><u>ATTACHMENT</u></em><em><u> </u></em>
Answer:
Looks right to me! Great work!
Answer:
-4x^3 +12x^2 for 0 < x < 3
Step-by-step explanation:
The power rule is appropriate:
(d/dx)x^n = n·x^(n-1)
This is applied to each of the terms.
F'(x) = -(4·x^3) +4(3x^2) +0
F'(x) = -4x^3 +12x^2 . . . . for 0 < x < 3
__
The derivative is not defined at the endpoints of the interval, so F'(x) is only defined on (0, 3), not [0, 3].