Use a case 1-case 2 ratio box to solve this problem. Don's heart beats 225 times in 3 minutes. At that rate, how many times will his heart beat in 5 minutes?

Use a case $1$-case $2$ ratio box to solve this problem. Don's heart beats $225$ times in $3$ minutes. At that rate, how many times will his heart beat in $5$ minutes?

Find the GCF and LCM of the given monomials.

$$a ^ { 2 } b$$

and

$$ab^2$$

If y varies inversely as x and y = 8 when

$$x = \frac{1}{2},$$

write and use an inverse variation equation to find y when x = 2.

Read this statement. Then answer the questions that follow. Two fifths of the performances were sold out. There were 15 performances that were not sold out. a. How many performances were there? b. What was the ratio of sold out to not sold out performances?

Write the percent as a fraction and as a decimal. 36% _________

Name the place value to which the number was rounded. 4.805 to 4.8

Use a ratio box to solve this problem. The student-teacher ratio at the high school was 20 to 1. If there were 48 high school teachers, how many students were there?

An inch equals 2.54 centimeters. Use a unit multiplier to convert 2.54 centimeters to meters.

What is the shape of a stop sign?

Let

$$x_0$$

be a nonzero column vector in R², and suppose that T: R² →R² is the transformation defined by the formula

$$T(x) = x_0 + R_θx$$

, where

$$R_θ$$

is the standard matrix of the rotation of R² about the origin through the angle θ. Give a geometric description of this transformation. Is it a matrix transformation? Explain.

Choose the letter of the correct term or concept below to complete the sentence. a. ideology b. social facilitation c. social inhibition d. group polarization e. conformity f. obedience g. aggression h. catharsis i. bystander effect j. deindividuation. __________ occurs when people lose their sense of self and follow group behaviors.

Write an example of an expression that cannot be simplified, and explain how you know that it cannot be simplified.

(a) Determine whether the parabola will open upward or downward. (b) Find the equation of the axis of symmetry. (c) Find the vertex. (d) Find they-intercept. (e) Find the x-intercepts if they exist. (f) Sketch the graph. (g) Find the domain and range of the function. y=2x²-3