What procedures could you use to show that the sun's path in the sky changes over a year? Choose the three correct answers. A. Measure the length of a stick's shadow. B. Place a stick in the ground in a clear area. C. Use different length sticks every week. D. Make a bar chart to show the shadow's length. E. Measure the length of the shadow only once.

1.the ability to perceive emotions in oneself and others accurately.2.the ability to use emotions to facilitate thinking.3.the ability to understand emotions, emotional language, and the signals conveyed by emotions.4.the ability to manage emotions so as to attain specific goals.

Are there any answer choices or is this an open ended question

Horizontal asymptote at  tells us that the original graph has been translated down.since  ,  are positive.  also we can say that the point  has a smaller  -coordinate than  .this means that the  transformed exponential function is increasing as it goes to the right. as it goes from  to , the value of the exponential function increases. it goes from to something bigger, . therefore, as  . the left hand would be the side that approaches the horizontal asymptote.so the answer is d

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.