Evaluate the following expressions.Your answers must be exact and in simplest form. (a) lne^11=square (b) e^ln4=square (c) e^lnsqrt (2)=square (d) ln((1)/(e^4))=square

Factor the GCF out of the polynomial below: 10x^6+14x^4+4x^3 square

7. a) A rectangular jewelry box is designed such that its length is twice its width and its depth is 2 inches less than its width. The volume of the box is 64 cubic inches. What are the dimensions of the box? (7.2)

E and F are sets of real numbers defined as follows. E= zvert zgt 2 F= zvert zleqslant 9 Write Ecap F and Ecup F using interval notation. If the set is empty, write varnothing Ecap F=square Ecup F=square

Suppose that sum _(n=1)^infty a_(n)(x-8)^n converges at x=12 At which of the following values of z must the series also converge? 14 11 7 2 0 -2 -7 -11 -14

A baseball team roster consists of 22 players of which 12 are considered active. Answer the following questions using either the permutation or the combination notation. (a) How many ways are there for a manager to select 12 active players from the roster? (b) How many ways can a manager select a 9-player batting lineup from the active roster for opening day? (a) There are square ways to select 12 active players from the roster. (Type a whole number.)

DO NOT USE A CALCULATOR Show all work for credit! A. Use synthetic division and/or factoring to write f(x)=28x^3+88x^2-37x-7 in completely factored form, given that (-(7)/(2)) is a zero of f(x) f(x)=square B. Find all the zeros of f(x) x=square

A spinner has 10 equally sized sections, 1 of which is blue and 9 of which are green. The spinner is spun and, at the same time, a fair coin is tossed. What is the probability that the spinner lands on green and the coin toss is heads? Do not round your answer. square

Suppose that 2000 is invested at a rate of 3.8% compounded annually. Assuming that no withdrawals are made, find the total amount after 10 years. Do not round any intermediate computations, and round your answer to the nearest cent square

Check for Understanding Instructions: Solve -5x^2-3x-1=0 using the quadratic formula. a=-5 b=-3 c=-1 x=(square +square sqrt (11))/(square ) x=(square -square sqrt (11))/(square )

Hot Questions

$\frac {1}{8}\times \square =1\frac {3}{8}$

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.)