Does the buoyant force on a floating object depend on the weight of the object itself or on the weight of the fluid displaced by the object? Or are these both the same for the special case of floating?

Find a formula for the nth term of the sequence.

$$\frac { 1 } { 25 } , \frac { 8 } { 125 } , \frac { 27 } { 625 } , \frac { 64 } { 3125 } , \frac { 125 } { 15,625 } , \dots$$

In a recent year, farmers planted approximately 92.9 million acres of corn. They also planted 64.1 million acres of soybeans and 11.1 million acres of cotton. Write each of this numbers in scientific notation and in standard form.

The sales of a small company were $\$ 27,000$ in its second year of operation and $\$ 63,000$ in its fifth year. Let $y$ represent sales in the $x$th year of operation. Assume that the data can be approximated by a straight line. $a.$ Find the slope of the sales line, and give an equation for the line in the form $y=m x+b$. $b.$ Use your answer from part a to find out how many years must pass before the sales surpass $\$ 100,000$.

How does Archimedes' principle relate the buoyant force acting on an object and the volume of fluid displaced by the object?

Choose the letter that best answers the question or completes the statement. The buoyant force acting on a submerged object is equal to a. the object's mass. b. the object's volume. c. the mass of the fluid displaced by the object. d. the weight of the fluid displaced by the object.

Determine whether each triangle should be solved by beginning with the Law of Sines or the Law of Cosines. Then solve each triangle. Round measures of sides to the nearest tenth and measures of angles to the nearest degree.b = 8.2, c = 15.4, A = 35 degrees

How is smooth muscle contraction similar to skeletal muscle contraction?

Use graphs to find each set.

$$( - \infty , 5 ) \cap [ 1,8 )$$

Distinguish between isobars and isotherms.

When you multiply or divide each side of an inequality by the same negative number, you must reverse the direction of the inequality symbol. Explain why.

Tenrecs, echidnas and hedgehogs are examples of unrelated organisms that have all evolved spines. Explain the advantage of this adaptation to these animals and why might it have evolved?

Is the buoyant force on a submerged object equal to the weight of the object itself or equal to the weight of the fluid displaced by the object?

Graph each equation. y=

$$2^{-x}$$