Rewriting and evaluating
Change to radical form.
x3/2
root2(x^3)
Simplify.
m^4*n^(-3)*2m^6
(2m^10)/n^3
52x-7=57x+13
x=-4
Identify the y-intercept and multiplier.
y=3(1/4)x
Y-intercept: (0, 3)
Multiplier: 1/4
Evaluate.
logx81=2
x=9
Change to exponential form.
root5(x^3)
x^(3/5)
Simplify.
(x^3y^-2z^-5)^-2
(y^4z^10)/x^6
36x=6-2x
x=0
Is this an example of growth or decay?
y=-3(0.672)x
At what rate is it growing or decaying?
Decay, 32.8%
Convert to logarithm form.
5-4=1/625
log51/625=-4
Evaluate.
641/2
8
2x^-4*4x^8*y^-5
Simplify.
(8x^4)/(y^5)
Riddle: I have keys, but no locks. Space with no rooms. You can enter, but you can’t go outside. What am I?
A Keyboard
I am going to buy a car for 12% off of $25,000. I also am being given $7,000 to put into the car. How much do I have to spend of my own money to pay for this car?
$15,000
Riddle: A man rides into town on Friday, stays three nights, and leaves on Friday. How?
The horses name is Friday
Riddle: A is the brother of B. B is the brother of C. C is the father of D. So how is D related to A?
A is D's Uncle
Simplify.
(2x^3x^6y^-9)/(4y^2x^-2)
(x^11)/(2y^11)
162x=410x+28
-14/3
The population of rats in New York is currently 2,000. The pop. grows 12% every year. How many rats will there be after 7 years?
4,421 Rats
Solve for x.
log927=2x
x=3/4
Simplify.
x^(1/4)*x^(2/9)
x^(17/36)
Simplify
(x^-1y^-4z^2*2y^2z^-1)/((y^3z^-2)^-4)
(2y^10)/(xz^7)
Solve.
(1/81)^(3x+2)=27^(2x-1)
x=-5/18
Dr. Vega is contemplating the impact of an antibiotic on a particular patient. The patient will take 98 milligrams, and every hour his body will break down 34.6% of it. How much will be left after 6 hours?
Round to the nearest thousandth.
7.668 milligrams
log1664=(3x-1)
x=5/6