a culture started with 2000 bacteria after 6 hours it grew to 2400 bacteria how many bacteria will grow after 16 hours
1 answer:
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Hello there!
For this question, we can use slope-intercept form of a line. The following equation is the format for slope-intercept form:
In this equation, m is the slope and b is the y-intercept. The slope and y-intercept is given. Thus, we just "plug in" the given values into the equation to get our answer. Replace "m" with "3/2" and replace "b" with "-2". After doing so, you get the following equation for the line.
That should be your answer. Hope this helps! :)
~AgentCozmo4, Junior Moderator
For this question, we can use slope-intercept form of a line. The following equation is the format for slope-intercept form:
In this equation, m is the slope and b is the y-intercept. The slope and y-intercept is given. Thus, we just "plug in" the given values into the equation to get our answer. Replace "m" with "3/2" and replace "b" with "-2". After doing so, you get the following equation for the line.
That should be your answer. Hope this helps! :)
~AgentCozmo4, Junior Moderator
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
The law of sines tells you ...
sin(x)/15 = sin(27°)/11
sin(x) = (15/11)sin(27°) . . . . . multiply by 15
x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°
x ≈ 38.2°
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<em>Additional comment</em>
In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.
Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.
The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.
