Log Equations
−10 + log3(n + 3) = −10
n = -2
Identify the center and radius of this circle.
(x − 2)2 + (y + 1)2 = 16
C: (2, -1), R: 4
Evaluate: Arc sin (1)
90 degrees
There are 10 finalists in a figure skating competition. How many ways can gold, silver, and bronze medals be awarded?
720 ways
log (4k − 5) = log (2k − 1)
k = 2
Identify the center and radius of this circle.
9 = 2y − y2 − 6x − x2
C: (-3, 1), R: 1
Evaluate: cos[Arc sin 1/2]
square root 3 over 2
A contractor wants to plant six oak trees, nine maple trees, and five poplar trees along the subdivision street. The trees are to be spaced evenly apart. In how many distinguishable ways can they be planted?
78,960 distinguishable ways
log9(−11x + 2) = log9(x2 + 30)
x = -7, -4
Identify the center and radius of this circle.
16 + x2 + y2 − 8x − 6y = 0
C: (4, 3), R: 3
Evaluate: cos[Arc tan (-1)]
Square root 2 over 2
How many distinguishable permutations are there for the word: SLEEPLESS?
30,240 distinguishable permutations
Determine all real values of x such that log102x+log10(x-5) = 2
10
Determine the distance between the vertex of the graph of y=-3x2-12x-4 and the center of a circle x2+y2-6x+8y-50=0
13
Let k be the number of solutions for θ, 0≤θ<360, when 12tan2θ-8=10
k = 4
A shepherd has five distinct sheep. Each sheep wears a name tag consisting of the five letters: S, H, E, E, and P. Determine the total number of distinct ways possible if you both rearrange the order of the five sheep and, for each sheep, rearrange the letters on its individual name tag.
93,312,000,000 ways