Aspinner is separated into 4 equal pieces, as shown below: a spinner is shown with four colors, yellow, pink, white, and black, marked on it. the arrow points towards the black color. jonathan spins the spinner 10 times. what is the theoretical probability that it stops on the black sector on the last spin?

The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by p(c)= -15c(c-8) what current will produce the maximum power?

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.

Solve for the equation x. 2x + 22 = 4(x + 3)