The magnitude of an earthquake, measured on the Richter scale, is given by
R(I)= log(I/I0)
Where I is the amplitude registered on a seismograph located 100km from the epicenter of the earthquake, and I0 is the amplitude of a certain small size earthquake. Find the Richter scale ratings of...
I already solved part of the equation, I'm just not sure what to do once I get to
= x2+3x-1/4=0
When I solve using the quadratic equation after this I end up with:
-3 +/- 2squareroot2/2
log4x-log4(x+3)=-1
This is what I have so far:
=log4(x)(x-3)=-1
=(x)(x-3)= 4-1
=(x)(x-3)= 1/4
= x2+3x-1/4=0
Now do I use the quadratic equation to solve? Thanks.
Consider the function:
f(x)= x7-4x5-3x4+4x3+12x2-12/x7
a) Graph the function on [-6,6] by [-6,6]. From your graph, estimate how many x-intercepts the function has and what values they are.
b) Now graph the function on [-1.5, -1.4] by [-10-4, 10-4] and on [1.4, 1.5] by [-10-5, 10-5] From your...
For the years 1998-2009, the number of applicants to US medical schools can be closely approximated by:
A(t)= -6.7615t4+114.87t3-240.1t3-2129t2+40,966
where t is the number of years since 1998.
a) graph the number of applicants on 0<= t <= 11
b) based on the graph in part a, during what...
The basal metabolic rate (in kcal/day) for large anteaters is given by:
y=f(x)= 19.7x0.753
where x is the anteater's weight in kilograms
a) find the basal metabolic rae for anteaters with the following weights
i. 5kg
ii. 25kg
My answer:
i= 66.19kg
ii= 222.39 kg
Hopefully I got a right...
Simplify 8p-3 x (4p2)-2/p-5.
This is what I got:
First thing I did was flip everything to get rid of the negative exponents:
p5/8p3x(4p2)2
next thing I did was multiply the 4p2 by 2
p5/ 8p3x16p4Then I subtracted thep5 from the 8p3
p2/8x16p4
and ended up with
1/128p2 I know that the...
Solve the rational inequality (a-5)/(a+2) < -1.This is what I got so far:
a-5/a+2 = -1
a-5= -a-2
0= -2a+3
subtract 3 from both sides:
-3=-2a
Divide by -2
3/2=a
I know that the answer is (-2, 3/2), but I'm not sure where the -2 in the answer comes from. Thanks!
Southwestern Oil supplies two distributors in the Northwest from two outlets. S1 and S2. Distributor S1 needs at least 3000 barrels of oil, and D2 needs at least 5000 barrels. The two outlets can each furnish exactly 5000 barrels of oil. The cost per barrel to ship the oil are:S1: D1=$30...
The Chemistry department at a local college decides to stock at least 900 small test tubes and 600 large test tubes. It wants to buy at least 2700 test tubes to take advantage of a special price. Since the small test tubes are broken twice as often as the large, the department will order at...