At one point during the day some forward-thinking bacteria get the idea that they are facing a crisis. Their numbers are growing exponentially and they are using up their space and food at an ever increasing rate. At what time do you think the idea would come?

Your answer is going to be d.

Manual pipetting creates a musculoskeletal load on the neck, shoulders, and upper limbs and the type of injuries that this can lead to is called repetitive stress injuries.

Iam pretty sure it is c.

You need to figure out at which x-value does the graph has a tangent line slope of -1.remember, the derivative is the slope of the tangent line. so find the derivative function and set it to equal -1 to find the x-value that will have a tangent line slope of 0.differentiate with the chain rule.    set the derivative to equal -1 and solve for x.      take log base 10 of both sides. also recall that  .    so the x-coord of the point of tangency is .the y-coordinate of this point of tangency can be calculated using the original function:     using point-slope form, the equation of the tangent line is      the x-intercept of this tangent line is when the graph is at y=0.    this rounds off to  .choice c.