Speed Trig
sin(𝜋/6)
1/2
List the horizontal asymptote(s) of the following equation:
5x2+13x-90
3(x+1)(x-5)
y=5/3
Determine the exact value without using a calculator:
log3(81)
4
let vector A=<3,4> and vector B=<8,-3>
Find the dot product of A and B
12
Find the mean of the following data set: {22.3,25,31.5,33,20,19.2,40}
27.286
tan(3𝜋/4)
-1
List the vertical asymptotes of the following equation:
(x2-2)(x+3)
x2+x-30
x=-6
x=5
Simplify the following into one logarithmic expression:
log(3)+4log(x)−7log(y)
log(3x4y-7)
Let vector A =<7,-3,9> and vector B=<-1,5,3>
find the dot product of A and B
5
Find the median of the following data set: {12,13,22,22,14,6,33,25,25,19}
20.5
sec(4𝜋/3)
-2
find the limit of the following equation as x approaches infinity:
x3-5x+4
infinity
9(x-4)(x+3)=815x
x=-1
x=12
Let vector A=<1,0,4> and vector B=<1,5,-2>
Find AxB
<-20,6,5>
Find the IQR of the following data set: {5,8,3,9,20,13,14,12,55}
10.5
cot(11𝜋/6)
-√3
Find the limit of the following equation as x approaches -3/2 from the left:
x
x(2x+3)
-infinity
Write the following as a single logarithmic expression:
ln(x)+(1/2)[ln(y2+z2)]
ln(x√y2+z2)
Let vector A= <4,3,-2> and vector B=<-3,5,8>
Find AxB
<34,-26,29>
A student scored 75 on a history test, where the average score was 80 and the standard deviation was 6. What is the z-score for this student's test?
-0.83
arctan(√3)
𝜋/3
find the limit of the following equation as x approaches pi from the left:
tan(x-𝜋/2)+3
infinity
Use the change of bass formula to evaluate the following:
log(2/3)(53)
−9.79194469
Let vector A= <1,2> and vector B= <-2,4>
Find the angle between A & B
0.927
An Uber driver earns an average of $65 per morning, with a standard deviation of $9. One morning, they earned $99. Calculate the z-score for the driver's earnings on that day.
3.78