Show:
Logs/Exponentials
Factoring
Trigonometry
Mr. Barrett
Sequences and Series
100
Does the function show exponential growth or decay? $$f(x) = 0.5{\left( {{3 \over 2}} \right)^x}$$
Growth.
100
Factor $$3{x^3} + 21{x^2} - 2x - 14$$
$$(3{x^2} - 2)(x + 7)$$
100
The terminal side of a $$ - 500^\circ $$ degree angle will be in this quadrant.
What is III?
100
This is Mr. Barrett's phone number.
451-MATH (6284)
100
This symbol means "previous term."
$${a_{n - 1}}$$
200
Write the logarithm in exponential form. $$\ln x = 5.2$$
$${e^{5.2}} = x$$
200
$$4{x^2} - 9$$
$$(2x - 3)(2x + 3)$$
200
This is the reference angle for a 290-degree angle.
What is 70 degrees?
200
This is Mr. Barrett's birth month and year
November 1978.
200
Evaluate the series. $$\sum\limits_{k = 1}^7 {({k^2} - 2)} $$
126
300
Solve the equation. $${3^{x - 1}} + 6 = 54$$
4.5237
300
$$3{x^3} - 81$$
$$3(x - 3)({x^2} + 3x + 9)$$
300
This is the measure of an angle in standard position whose terminal side passes through the point (-6, 8).
What is 126.87 degrees?
300
What subject does Mrs. Barrett teach?
8th grade Writing.
300
Find the first 5 terms of the sequence. $${a_n} = {4^{n - 1}}$$
1, 4, 16, 64, 256
400
Solve the equation. $${\log _4}\left( {x + 48} \right) = 3$$
16
400
$$2{x^2} + 8x - 64$$
$$2(x - 4)(x + 8)$$
400
The three sides of a triangle are 10.5, 6.3, and 12. Give the measure of the angle opposite from the side of 12.
87.4 degrees.
400
What is Mrs. Barrett's second occupation?
Sports writer for Chattanoogan.com
400
Find the sum of the infinite geometric series. -2700 + 900 - 300 + 100 - ...
-2025
500
Solve the equation. $${\log _8}\left( 9 \right) - {\log _8}\left( { - 2x} \right) = 2$$
-0.0703
500
$$6{x^2} + 13x + 5$$
$$(3x + 5)(2x + 1)$$
500
The three sides of a triangle are 10.5, 12, and 6.3. What is the area of the triangle?
33.0 sq. units.
500
What are Mr. Barrett's children's names? (spelling counts!)
Parker and Delaney
500
Find $${S_5}$$ for $$1 + {1 \over 3} + {1 \over 9} + {1 \over {27}} + ...$$
121/81