Answer: y = 54(1.06)^t
Step-by-step explanation:
It is estimated that the population of bacteria will increase by 6% each hour. This is an exponential growth. The formula for determining exponential growth is expressed as
y = b(1 + r)^ t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 54
r = 6% = 6/100 = 0.06
Therefore, the formula for the population of bacteria is
y = 54(1 + 0.06)^t
y = 54(1.06)^t
1. You can expand the coefficients to yield 6, and add the powers since the bases are the same (ie A)
2. y⁻² can also be rewritten as 1/y², so it becomes 1/y² · 1/y⁵ = 1/y⁷ (ie C)
3. Only the x is affected by the power.
4. y = 3·5ˣ doesn't change in slope, so it essentially is similar to a 5ˣ graph.
5. Should be pretty straight forward.
6. Should be pretty straight forward.
7. Should be pretty straight forward.
8. Since x is the length of the border, calculate the area of the frame and subtract that from the area of the square painting. (Remember that the length of the square painting is x - 8, not x - 4)
9. Should be pretty straight forward.
11 - 25 are pretty much similar to each other.
If you have trouble, let me know and I'll walk you through it.
The answer is yes. The triangles are congruent.
I measured them with a ruler and they are the same length.
Hope this helped! c:
1) Triangle QRT, where q = 32.4 ft, r = 29.8 ft, t = 42.1 ft
No this cannot make a second triangle
2) Triangle ABC, where B = 62°, a = 11.52 m, c = 19.34 m
No this cannot make a second triangle
3) Both of the triangles cannot make a second triangle
<h3>How does law of sine work</h3>
The following is a detailed explanation of the sine law: In a triangle, side "a" divided by angle sine "a" equals side "b" divided by angle sine "b" equals side "c" divided by angle sine "c."
The formula for law of sine is written as
Sine A a = Sine B/ b = Sine C / c
These law helps in determining the given angles and sides
For the situation given; both cannot be used to make a second triangle
Learn more about conditions Infinite number of triangles at:
brainly.com/question/29637739
#SPJ1
Slope of y=1-2x is -2
Using point intercept form:
y-1=-2(x-3)
y-1=-2x+6
y=-2x+7
