What is the sum of (3x⁵ + 4x²+ 8} and (12x³ -2x² + 6)?

A checkers enthusiast is customizing a checkers set by painting a  design on each of the 24 checkers in the set It takes the enthusiast  35 minutes to paint the design on each checker. If c of  the checkers are already painted, which of the following   represents the number of additional minutes needed to finish  
painting the set of checkers?

Which of the following expressions is equivalent to ?

In the xy-plane, the graph of the equation y = 9x - 8 intersects the graph of the  equation y = x² at two points. What is the sum of the x-coordinates of the two  points?

The number of microscopic organisms in a petri dish grows exponentially with time.  The function P above models the number of organisms after growing for t  days in the petri dish. Based on the function, which of the following statements is  true?

What is the solution set of the equation above?

P(x) = x² - 11x+ k
In the function above, k is a constant. If 2 is a zero of the function, what is the value of k ?

The Conowingo Reservoir had an original storage capacity of 300,000 acre-feet at  the end of 1928, the year in which it was built. Starting in 1929, sediment carried   
downstream by the Susquehanna River collected in the reservoir and began  reducing the reservoir's storage capacity at the approximate rate of 1,700 acre-feet 
per year.
What was the approximate storage capacity, in acre-feet, of the reservoir at the end of 1993?

8ax - 4 = 24
Based on the equation above, what is the value of 2ax- 1 ?

If the ratio of 0.5 : x is equivalent to 1.5 : 2.25, what is the value of x ?

Number of Flight Arrivals at Centerville Airport in a Month

On time	Delayed	Total
Airline A Airline B	861 700	2,890 1,850
Total	1,561	4,740

Based on the table above, what fraction of the flights for Airline A were delayed.?

y=x² -6x - 16
The graph of the equation above in the xy-plane is a parabola. Which of the  following equivalent forms of the equation includes the x- and y-coordinates of the  
vertex as constants?

s = 9.8t
The equation above can be used to approximate the speed s, in meters per second  (m/s), of an object t seconds after being dropped into a free fall. Which of the  following is the best interpretation of the number 9.8 in this context?

Note: Figure not drawn to scale.
In the figure above, sin(90° - x⁰) = . What is the value of sin x⁰ ?

The graph above models the speed, s, of an automobile during the first 5 minutes of travel time, t. What was the total distance traveled from t=1 to t=4?

The energy pyramid below shows four trophic levels in an ecosystem and the direction of energy transfer between those levels.

On average, 10% of the net energy of one trophic level is transferred to the next trophic level in an ecosystem. Based on the energy pyramid, if primary producers have 5,000 joules (J) of energy, approximately how much of this energy, in calories, is transferred to the secondary consumers in this ecosystem? (1 calorie= 4.18 J)

Energy flow direction within an ecosystem
1. An ecosystem's energy flow is always unidirectional.
2. It is said to be unidirectional because energy is lost in heat when moving from one trophic level to the next to maintain an organism's homeostasis.
3. As a result, each successive trophic level receives less energy than the previous trophic level.
4. Some energy is lost as heat when an organism moves from one trophic level to the next to maintain homeostasis.
5. As a result, each successive trophic level receives less energy than the previous trophic level.
6. Because the sun is the only energy source for all ecosystems on Earth, the energy flow in the food chain is unidirectional.
7. The energy captured by autotrophs does not return to the sun.
8. As a result, energy flows through various trophic levels in a food chain.
9. Energy comes from the sun and is consumed by producers in most natural ecosystems.
10. It is then passed down through the trophic levels as food.
11. As a result, energy flows from the prey to the predator rather than the other way around.