Write expression log((x^8y^7)/(z^20)) as a sum or difference of logarithms with no exponents. Simplify your answer completely. log((x^8y^7)/(z^20))=square
Divide x^3+7x+1 by x-1 x^2-x+6-(5)/(x-1) x^2+x+8+(9)/(x-1) x^2-x+8-(7)/(x-1) x^2+x+6+(7)/(x-1)
What are the values of a a_(1) and r of the geometric series? 2-2+2-2+2 a_(1)=2 and r=-2 a_(1)=-2 and r=2 a_(1)=-1 and r=2 a_(1)=2 and r=-1
3.) (1)/(1-cosalpha )+(1)/(1+cosalpha )=2csc^2alpha
Evaluate the expression for y=3.75 1.2+(8y)/(5)
A car purchased new for 30,000 depreciates at a rate of 12% per year. Fill in the missing part of the equation. (2 points) A(t)=30,000 square ^5 What is the value after 5 years?You do not need a dollar sign for your answer. Round to the nearest cent. (1 point) A(5)= square
Find all of the zeros of the function shown. f(x)=x^4-6x^3+10x^2-6x+9 x=-9,i,-i x=3,i,-i x=3,3i,-3i x=9,i,-i x=-3,i,-i x=3,3i,-3i
Solve the following system of equations using Gaussian elimination. -3x+3y-2z=-24 3x-9y+3z=-3 4x+9y-3z=45 (5,3,(16)/(3)) ((20)/(3),13,6) (6,(20)/(3),13) (3,(16)/(3),5)
Solve the following system of equations using Gaussian elimination. -5x+4y+15z=-23 3x-2y-20z=-33 -4x-4y+5z=-78 ((996)/(41),-(241)/(41),(1667)/(205)) (21,4,(22)/(5)) (-(241)/(41),(996)/(41),-(241)/(41)) ((22)/(5),4,(22)/(5))
Air temperature decreases as altitude increases. If the ground temperature is 76^circ F then the air temperature x miles high is T=76-19x (a) Determine the altitudes x where the temperature T is between 2^circ F and 32^circ F. (b) Use an absolute value inequality to describe these altitudes. (a) Determine the altitudes x where the air temperature T is between 2^circ F and 32^circ F, inclusive. square leqslant xleqslant square (Type an integer or a simplified fraction.)
$\frac {1}{8}\times \square =1\frac {3}{8}$
You are helping with decorations for your grandparents' 50th wedding anniversary. You have to buy the streamers and balloons. The streamers cost $\$ 3$ per roll, and the balloons cost $\$ 5$ for a group of 10. You only have $\$ 66$ to spend on the decorations.How many rolls of streamers and groups of balloons can you buy? Let x represent streamers and y represent balloons. Write a linear inequality to represent this situation. $3x+5y\leqslant 66$ $3x+5y\lt 66$ $3x+5y\geqslant 66$ $3x+5y\gt 66$
Which equation has an a-value of $-2$ a b-value of 1, and ac-value of 3? $0=-2x^{2}+x+3$ $0=2x^{2}+x+3$ $0=-2x^{2}+3$ $0=2x^{2}-x+3$
Question 3 (1 point) Find the elasticity. $q=D(x)=\frac {1200}{x}$ $E(x)=\frac {1}{x}$ $E(x)=1$ $E(x)=\frac {x}{1200}$ $E(x)=\frac {1200}{x}$
Use any basic integration formula or formulas to find the indefinite integral.(Use C for the constant of integration.) $\int \frac {4}{1+e^{-4x}}dx$ $\square $
Solve the equation $6y^{3}-7y^{2}-3y=0$ $y=\square $ Write your answers as a list of integers or reduced fractions, with your answers separated by (a) comma(s). For example, if you get 4 and $-\frac {2}{3}$ as your answers, then enter $4,-2/3$ in the box.
Factor: $3az-9ac+yz-3yc$ $3(3a+y)(a-c)$ $3(a-c)(z-y)$ $(z-3c)(3a-y)$ $(z-3c)(3a+y)$
(05.04 MC) The data to represent average test scores for a class of 16 students includes an outlier value of 72. If the outlier is included, then the mean is 86. Which statement is always true about the new data when the outlier is removed? The mean would increase. The mean would decrease. The median would increase. The median would decrease.
Watch the video and then solve the problem given below. Click here to watch the video. A committee has seven men and four women. If four people are selected to go to a conference, what is the chance that the group is two men and two women? $\square $ (Type an integer or a simplified fraction.)
A city council consists of eight Democrats and six Republicans. If a committee of six people is selected, find the probability of selecting two Democrats and four Republicans. $\square $ (Type a fraction. Simplify your answer.)