a. A 0.60 kg bullfrog is sitting at rest on a level log. How large is the normal force of the log on the frog? b. A second 0.60 kg bullfrog is on a log tilted $30 ^ { \circ }$ above horizontal. How large is the normal force of the log on this frog?

Sketch the angle. Then find its reference angle.

$$\frac{7 \pi}{4}$$

Write a variable expression for each word phrase. the sum of 8 and n.

Find each product.

$$(q-4 h)^2$$

A spaceship and its occupants have a total mass of $160,000 \mathrm{~kg}$. The occupants would like to travel to a star that is $35$ light-years away at a speed of $0.70 c$. To accelerate, the engine of the spaceship changes mass directly to energy. Estimate how much mass will be converted to energy to accelerate the spaceship to this speed.

Why does the roller coaster not continue forever and go back and forth and up and down the hills over and over again?

Find each product.

$$(2 x-5)(x+6)$$

Choose from the following list of words to complete the statement.

$$\begin{array}{ll} \text { absolute value } & \text { rational number } \\ \text { integer } & \text { repeating } \\ \text { irrational number } & \text { terminating } \\ \text { opposite } & \text { whole number } \end{array}$$

If a number is a(n) $\rule{1cm}{1pt}$, it is either a whole number or the opposite of a whole number.

For the following exercise,

Use reference angles to evaluate the expression.

$$\cot 240^{\circ}$$

Haz predicciones sobre qué habrán hecho tu familia y tú al final de una excursión a Segovia.
todos nosotros / subir al castillo

Micah is standing on his frictionless skateboard facing a concrete wall. He wants to project himself backward by throwing small balls at the wall. His friend Jeremy says that Micah need not throw the balls against the wall, he just needs to throw the balls away from himself, but Micah says the balls need something to push against if they are to propel him backward. Who is right and why?

A salesperson earns a 3% bonus on weekly sales over $5000. Consider the following functions.

g(x) = 0.03x

h(x) = x - 5000

a. Explain what each function above represents.

b. Which composition,$(h \circ g)(x)$or$(g \circ h)(x)$, represents the weekly bonus? Explain.

Planets are not uniform inside. Normally, they are densest at the center and have decreasing density outward toward the surface. Model a spherically symmetric planet, with the same radius as the earth, as having a density that decreases linearly with distance from the center. Let the density be $15.0 \times 10^{3} \mathrm{kg} / \mathrm{m}^{3}$ at the center and $2.0 \times 10^{3} \mathrm{kg} / \mathrm{m}^{3}$ at the surface. What is the acceleration due to gravity at the surface of this planet?

In this exercise, find the product.

(2v - 1)$^3$