Pumpkin patch: suppose we plant pumpkins in a garden where half of the plants are shaded. then, to test a new fertilizer, we fertilize the plants in full sun and do not fertilize the plants in the shade. in the fall the fertilized plants yield more, bigger, and prettier pumpkins.
which of the following did we fail to include in the experimental design?
(1) establish a control group
(2) direct control of confounding variables
(3) compare groups of the explanatory variable
(4) establish measurable outcomes to determine the effectiveness of the explanatory variable

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

Which best describes the function on the graph? direct variation; k = −2 direct variation; k = -1/2 inverse variation; k = −2 inverse variation; k = -1/2

What are the measures of angles a, b, and c? show your work and explain your answers. 25 points