Math Statement

Problem 2801

How many solutions does the system ha {2y=4x+6y=2x+6\left\{\begin{array}{l} 2 y=4 x+6 \\ y=2 x+6 \end{array}\right.
Choose 1 answer: (A) Exactly one solution (B) No solutions (c) Infinitely many solutions

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Problem 2802

Save \& Exit Practice Lesson: 14.3 Area and Riemann Sums DONNI
Question 10 of 10, Step 1 of 1 8/10 Correct
Find the Riemann sum S4S_{4} for the following information. Round your answer to the nearest hundredth. f(x)=1x+5;[a,b]=[4,4];n=4,c1=3.5,c2=1.5,c3=0.5,c4=2.5f(x)=\frac{1}{x+5} ;[a, b]=[-4,4] ; n=4, c_{1}=-3.5, c_{2}=-1.5, c_{3}=0.5, c_{4}=2.5
Answer Tables
How to enter your answer (opens in new window) S4=S_{4}= \square

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Problem 2803

Solve for dd. 2d+4=10+2.5dd=\begin{array}{l} 2 d+4=10+2.5 d \\ d=\square \end{array}

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Problem 2804

Complete the square on the following quadrat x2+4x+24=0x^{2}+4 x+24=0

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Problem 2805

Solve the system of equations. 5x+4y=3x=2y15x=y=\begin{array}{l} -5 x+4 y=3 \\ x=2 y-15 \\ x=\square \\ y=\square \end{array}

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Problem 2806

Solve by completing the square. x2+10x+22=0x^{2}+10 x+22=0

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Problem 2807

3x+4=2x13 x+4=-2 x-1

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Problem 2808

At least one of the answers above is NOT correct. (1 point) Find the coordinates of all extrema of f(t)=4t360t2f(t)=4 t^{3}-60 t^{2} with domain [5,)[-5, \infty).

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Problem 2809

(iii) the equation of the line passing through AA and C.
8. The lines 2x5=ky2 x-5=k y and (k+1)x=6y3(k+1) x=6 y-3 have the same gradient. Find the possible values of kk.

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Problem 2810

Solve for xx. 4x+3=32x4^{x+3}=3^{2 x}
Write the exact answer using either base-10 or base-e logarithms. x=x= \square log\square \log 口 ㅁIn \square \square \square No solution

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Problem 2811

f(x)=x+1g(x)=2x3\begin{array}{l} f(x)=x+1 \\ g(x)=2 x-3 \end{array} real numbers xx as follows.
Write the expressions for (gf)(x)(g-f)(x) and (g+f)(x)(g+f)(x) and evaluate (gf)(3)(g \cdot f)(3). (gf)(x)=(g+f)(x)=(gf)(3)=\begin{array}{c} (g-f)(x)=\square \\ (g+f)(x)=\square \\ (g \cdot f)(3)=\square \end{array} \square

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Problem 2812

The one-to-one functions gg and hh are defined as follows. g={(1,8),(3,5),(5,3),(8,6)}h(x)=6x13\begin{array}{l} g=\{(-1,8),(3,5),(5,-3),(8,6)\} \\ h(x)=6 x-13 \end{array}
Find the following. g1(5)=h1(x)=(hh1)(1)5=\begin{array}{r} g^{-1}(5)=\square \\ h^{-1}(x)=\square \\ \left(h \circ h^{-1}\right)(-1)^{5}=\square \end{array}

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Problem 2813

Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) y=x3+6x28y=-x^{3}+6 x^{2}-8 concave upward \square concave downward \square

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Problem 2814

The one-to-one functions gg and hh are defined as follows. g={(9,3),(1,5),(3,0),(6,1),(9,2)}h(x)=3x4\begin{array}{l} g=\{(-9,3),(1,-5),(3,0),(6,1),(9,2)\} \\ h(x)=3 x-4 \end{array}
Find the following. g1(3)=h1(x)=(hh1)(8)=\begin{array}{r} g^{-1}(3)= \\ h^{-1}(x)= \\ \left(h \circ h^{-1}\right)(8)= \end{array} \square \square \square

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Problem 2815

The function f(x)=x2+3,x0f(x)=x^{2}+3, x \geq 0 is one-to-one. (a) Find the inverse of ff and check the answer. (b) Find the domain and the range of ff and f1f^{-1}. (c) Graph f,f1\mathrm{f}, \mathrm{f}^{-1}, and y=x\mathrm{y}=\mathrm{x} on the same coordinate axes. (a) f1(x)=x32f^{-1}(x)=\frac{x-3}{2} (Simplify your answer. Use integers or fractions for any numbers in the expression.)

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Problem 2816

Use any method to find the solution of the system of equations. {x+5y3z=45x24y+14z=224x19y+12z=16\left\{\begin{array}{l} x+5 y-3 z=-4 \\ -5 x-24 y+14 z=22 \\ -4 x-19 y+12 z=16 \end{array}\right. Enter the solution as an ordered triple (x,y,z)(x, y, z) \square No solution.

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Problem 2817

If E=[456921]E=\left[\begin{array}{ccc}-4 & 5 & -6 \\ 9 & -2 & 1\end{array}\right] and F=[111115]F=\left[\begin{array}{ccc}1 & -1 & -1 \\ 1 & -1 & -5\end{array}\right], what is E+FE+F ? If the matrix exists, select its size before entering your answer. If the matrix does not exist, select undefined. E+F=[]E+F=[\square]

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Problem 2818

Solve the System. Give answer as (x,y,z)(x, y, z). {5x4y+z=110x+4y+3z=220x+4y6z=4(x,y,z)=\begin{array}{l} \left\{\begin{array}{l} 5 x-4 y+z=-1 \\ 10 x+4 y+3 z=2 \\ -20 x+4 y-6 z=-4 \end{array}\right. \\ (x, y, z)=\square \end{array}

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Problem 2819

Find all complex solutions for the following equation by hand. 3x+15x1=4x1x2\frac{3}{x+1}-\frac{5}{x-1}=\frac{4 x}{1-x^{2}}
Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. The solution set is \square 3. (Type an integer or a simplified fraction.) B. The solution set is the set of real numbers. C. The solution set is an empty set.

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Problem 2820

Question 3
If f(x)=2x27+x2f(x)=\frac{2-x^{2}}{7+x^{2}}, find: f(x)=f^{\prime}(x)= \square Question Help: Video Submit Question

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Problem 2821

b) x26x+13=0x^{2}-6 x+13=0

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Problem 2822

Given the system of equations: {x+y+z=4y3z=52x+y+5z=2\left\{\begin{array}{l} x+y+z=-4 \\ y-3 z=-5 \\ 2 x+y+5 z=-2 \end{array}\right. (a) Determine the type of system: inconsistent dependent (b) If your answer is dependent, find the complete solution. Write x,yx, y, and zz as functions of zz, where z=zz=z.
If your answer is inconsistent, write DNE in the box for all three variables. x=y=z=\begin{array}{l} x=\square \\ y=\square \\ z=\square \end{array}

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Problem 2823

0/20 / 2 pts 3
Given the system of equations: {2x3y9z=7x+3z=13x+y4z=0\left\{\begin{array}{l} 2 x-3 y-9 z=-7 \\ x+3 z=1 \\ -3 x+y-4 z=0 \end{array}\right. (3) (a) Determine the type of system: dependent inconsistent (b) If your answer is dependent in (a), find the complete solution.
Write x,yx, y as functions of zz, where z=zz=z. If your answer is inconsistent, write DNE for all three variables. x=y=z=\begin{array}{l} x=\square \\ y=\square \\ z=\square \end{array}

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Problem 2824

Question 5
Suppose a product's revenue function is given by R(q)=5q2+500qR(q)=-5 q^{2}+500 q. Find an expression for the marginal revenue function, simplify it, and record your result in the box below. Be sure to use the proper variable in your answer. (Use the preview button to check your syntax before submitting your answer.) MR(q)=M R(q)= \square Question Help: Video
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Problem 2825

Question 6
Suppose a product's revenue function is given by R(q)=3q2+1000qR(q)=-3 q^{2}+1000 q, where R(q)R(q) is in dollars and qq is units sold. Find a numeric value for the marginal revenue at 122 units. MR(122)=M R(122)= \square \$ per unit
Question Help: Video Submit Question

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Problem 2826

Evaluate each expression using a calculator. Round to the nearest thousandth. ln(35)=\ln \left(\frac{3}{5}\right)= \square Submit Question

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Problem 2827

If f(x)=ln(x+4+e3x)f(x)=\ln \left(x+4+e^{-3 x}\right), then f(0)f^{\prime}(0) is (A) 25-\frac{2}{5} (B) 15\frac{1}{5} (C) 14\frac{1}{4} (D) 25\frac{2}{5} (E) nonexistent

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Problem 2828

Question 8 0/10 / 1
Solve for xx : log(x)+log(x+5)=2x=\begin{array}{l} \log (x)+\log (x+5)=2 \\ x=\square \end{array}
You may enter the exact value or round to 4 decimal places. Question Help: \square Video Submit Question
Question 9 0/1 pt
If lnx+ln(x5)=ln(2x)\ln x+\ln (x-5)=\ln (2 x), then x=x= \square

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Problem 2829

If n=140n=140 and pundefined=0.55\widehat{p}=0.55, construct a 99%99 \% confidence interval. Give your answers to three decimals \square <p<<p< \square

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Problem 2830

If n=520n=520 and p^=0.62\hat{p}=0.62, construct a 99%99 \% confidence interval.
Give your answers to three decimals. \square <p<<p< \square

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Problem 2831

19. 1÷859=11÷=×=\begin{aligned} 1 \div 8 \frac{5}{9} & =\frac{1}{1} \div \square \\ & =\square \times \\ & = \end{aligned}

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Problem 2832

If S=[3247]S=\left[\begin{array}{ll}3 & 2 \\ 4 & 7\end{array}\right] and T=[161]T=\left[\begin{array}{lll}-1 & 6 & -1\end{array}\right], what are STS T and TS?T S ? If a matrix exists, select its size before entering your answer. If a matrix does not exist, select undefined. ST=\mathrm{ST}= \square TS=T S= \square

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Problem 2833

If M=[113]M=\left[\begin{array}{lll}1 & 1 & 3\end{array}\right] and N=[563]N=\left[\begin{array}{c}-5 \\ 6 \\ 3\end{array}\right], what are MNM N and NMN M ? If a matrix exists, select its size before entering your answer. If a matrix does not exist, select undefined. MN=M N= \square NM=N M= \square

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Problem 2834

7. Factor to write each in a simpler form. a) secxsin2xsecx\sec x \sin ^{2} x-\sec x b) sin4θcos4θ\sin ^{4} \theta-\cos ^{4} \theta 1cosxsin2x1cosx\frac{1}{\cos x} \sin ^{2} x-\frac{1}{\cos x} sin2x1\sin ^{2} x-1

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Problem 2835

x2+7xy+12y28x3y34x2+2xy+y2x2+5xy+4y2\frac{x^{2}+7 x y+12 y^{2}}{8 x^{3}-y^{3}} \cdot \frac{4 x^{2}+2 x y+y^{2}}{x^{2}+5 x y+4 y^{2}}

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Problem 2836

(1) (10pts)ddtx=[2222]x(10 \mathrm{pts}) \frac{d}{d t} \vec{x}=\left[\begin{array}{cc}2 & -2 \\ 2 & 2\end{array}\right] \vec{x}.

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Problem 2837

Solve the syatem of equations graphed on the coordinate axes below. y=12x+1y=32x+5\begin{array}{l} y=-\frac{1}{2} x+1 \\ y=\frac{3}{2} x+5 \end{array}
Answer Attemplicett of io
Solution: \square Shtmil Amase

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Problem 2838

The functions rr and ss are defined as follows. r(x)=x+2s(x)=2x22\begin{array}{l} r(x)=-x+2 \\ s(x)=-2 x^{2}-2 \end{array}
Find the value of r(s(4))r(s(-4)). r(s(4))=r(s(-4))=

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Problem 2839

The function hh is defined as follows. h(x)=x2+11x+10x264h(x)=\frac{x^{2}+11 x+10}{x^{2}-64}
Find h(9)h(-9). Simplify your answer as much as possible. If applicable, di h(9)=h(-9)= \square

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Problem 2840

f(x)=5x24g(x)=3x1\begin{array}{l} f(x)=5 x^{2}-4 \\ g(x)=\sqrt{3 x-1} \end{array}
Find fgf \cdot g and fgf-g. Then, give their domains using interval notation. (fg)(x)=(f \cdot g)(x)= \square
Domain of fgf \cdot g : \square (fg)(x)=(f-g)(x)= \square
Domain of fgf-g : \square

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Problem 2841

Suppose that the functions gg and hh are defined as follohs. g(x)=x+4h(x)=(x6)(x+4)\begin{array}{l} g(x)=x+4 \\ h(x)=(x-6)(x+4) \end{array} (a) Find (gh)(3)\left(\frac{g}{h}\right)(-3). (b) Find all values that are NOT in the domain of gh\frac{g}{h}. If there is more than one value, separate them with commas. (a) (gh)(3)=\left(\frac{g}{h}\right)(-3)= (b) Value(s) that are NOT in the domain of gh\frac{g}{h} :

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Problem 2842

Solve for kk 85k+76+48k1-85 k+76+48 k \leq 1 or 59k783259 k-78 \leq-32 Write your answer as a compound inequality with integers, proper fractions, and improper fractions in simplest form. \square or \square

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Problem 2843

Fill in the table using this function rule. f(x)=2xf(x)=2 \sqrt{x}
Simplify your answers as much as possible. Click "Not a real number" if applicable. \begin{tabular}{|c|c|} \hlinexx & f(x)f(x) \\ \hline-1 & \square \\ \hline 0 & \square \\ \hline 9 & \square \\ \hline 100 & \square \\ \hline \end{tabular}

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Problem 2844

2. f(x)=(x+2)(x3)f(x)=-(x+2)(x-3)
Transformations:
Axis of Symmetry: \qquad Vertex: \qquad x-intercepts: \qquad Domain: \qquad Range: \qquad Max or Min: \qquad \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline & \\ \hline & \\ \hline & \\ \hline & \\ \hline & \\ \hline \end{tabular}

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Problem 2845

Math 161 Hand In Assignment - Log/Exp Equations Name Aalea O) agu
Show all work in the spaces below. All answers should be exact when possible. Please circle final answers.
Solve the following:
1. 93x5=279^{3 x-5}=27
2. 3x+54=83^{x+5}-4=8 (leave your answer in terms of logs)
3. log73+log7(x2)=log7(4x9)\log _{7} 3+\log _{7}(x-2)=\log _{7}(4 x-9)
4. log2x+log2(x3)=2\log _{2} x+\log _{2}(x-3)=2

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Problem 2846

13. CCSS Persevere with Problems The equation of a line is y=12x+6y=-\frac{1}{2} x+6. Write an equation in point-slope form for the same line. Explain the steps that you used. \qquad \qquad \qquad

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Problem 2847

For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,2][0,2] into nn equal subintervals and using the right-hand endpoint for each ckc_{k}. Then take a limit of this sum as nn \rightarrow \infty to calculate the area under the curve over [0,2][0,2]. f(x)=x2+2f(x)=x^{2}+2
Write a formula for a Riemann sum for the function f(x)=x2+2f(x)=x^{2}+2 over the interval [0,2][0,2]. Sn=8n2+12n+43n2+4S_{n}=\frac{8 n^{2}+12 n+4}{3 n^{2}}+4 (Type an expression using nn as the variable.) The area under the curve over [0,2][0,2] is \square square units. (Simplify yoúr answer.)

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Problem 2848

tributive property to write an equivalent expression. 9(7r3s+10)9(7 r-3 s+10)

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Problem 2849

Which expression could be used to determine the cost of a $50\$ 50 video game after a 20 percent discount? \50(0.20)50(0.20) \50[($50)(0.08)] 50-[(\$ 50)(0.08)] \$50-0.80 \$50(0.80)

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Problem 2850

185\sqrt[5]{18}

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Problem 2851

\#5-6: Let g(x)=x4x37x2+x+6g(x)=x^{4}-x^{3}-7 x^{2}+x+6 a. List all possible rational roots according to the Rational Root Theorem
Use the Factor Theorem and Remainder Theorem in order to factor g(x)g(x).

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Problem 2852

236324-2 \sqrt{3}-\sqrt{6}-3 \sqrt{24}

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Problem 2853

VERO O FALSO? a. 14+54110=320\frac{1}{4}+\frac{5}{4} \cdot \frac{1}{10}=\frac{3}{20} b. (1+12):32=1\left(1+\frac{1}{2}\right): \frac{3}{2}=1 c. 4757+37=177-\frac{4}{7} \cdot \frac{5}{7}+\frac{3}{7}=-\frac{17}{7} d. 5243+1776=43\frac{5}{2}-\frac{4}{3}+\frac{1}{7} \cdot \frac{7}{6}=\frac{4}{3} e. (4:14)(44)=0\left(4: \frac{1}{4}\right)-(4 \cdot 4)=0

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Problem 2854

7. 2321=\frac{2}{3} \cdot 21= \qquad
10. 4945=\frac{4}{9} \cdot 45= \qquad

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Problem 2855

626\sqrt{6} \cdot 2 \sqrt{6}

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Problem 2856

33\sqrt{3} \cdot \sqrt{3}

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Problem 2857

3328-3 \sqrt{3} \cdot 2 \sqrt{8}

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Problem 2858

Which is the simplified form of r7+512r^{-7}+5^{-12} ? 1r7s12\frac{1}{r^{7} s^{12}} r7s12-r^{7}-s^{12} r7s12\frac{r^{7}}{s^{12}} 1r7+1s12\frac{1}{r^{7}}+\frac{1}{s^{12}}

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Problem 2859

10215\frac{\sqrt{10}}{2 \sqrt{15}}

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Problem 2860

Which is the simplified form of n6p3?n^{-6} p^{3} ? n6p3\frac{n^{6}}{p^{3}} 1n6p3\frac{1}{n^{6} p^{3}} p3n6\frac{p^{3}}{n^{6}} n6p3n^{6} p^{3}

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Problem 2861

820\frac{\sqrt{8}}{\sqrt{20}}

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Problem 2862

A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represent the weekly profit in thousands of dollars, yy, when the company sells xx items? y2=4x2100y^{2}=4 x^{2}-100 y=x2+50x300y=-x^{2}+50 x-300 x=y2+60y400x=-y^{2}+60 y-400 x2=6y2+200x^{2}=-6 y^{2}+200

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Problem 2863

Use slopes to determine if the lines are parallel, perpendicular, or neither.
27. EFundefined\overleftrightarrow{E F} and GHundefined\overleftrightarrow{G H} for E(8,2),F(3,4),G(6,1)E(8,2), F(-3,4), G(6,1), and H(4,3)H(-4,3)

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Problem 2864

Find the partial fraction decomposition for the rational expression. 4x29(x+4)(x5)\frac{4 x-29}{(x+4)(x-5)} None of these answers 29x+4+4x5\frac{29}{x+4}+\frac{4}{x-5} 5x+41x5\frac{5}{x+4}-\frac{1}{x-5} 4x+429x5\frac{4}{x+4}-\frac{29}{x-5} 1x55x+4\frac{1}{x-5}-\frac{5}{x+4}

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Problem 2865

1 2 3 4 5 6 7 8 9 10
The temperature in degrees Celsius, cc, can be converted to degrees Fahrenheit, ff, using the equation f=95c+32f=\frac{9}{5} c+32 Which statement best describes if the relation (c,f)(c, f) is a function?
It is a function because 40C-40^{\circ} \mathrm{C} is paired with 40F-40^{\circ} \mathrm{F}. It is a function because every Celsius temperature is associated with only one Fahrenheit temperature. It is not a function because 0C0^{\circ} \mathrm{C} is not paired with 0F0^{\circ} \mathrm{F}. It is not a function because some Celsius temperatures cannot be associated with a Fahrenheit temperature. Mark this and return Save and Exit Nor Submit

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Problem 2866

Lorraine writes the equation shown. x2+y15=0x^{2}+y-15=0
She wants to describe the equation using the term relation and the term function. The equation represents \square

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Problem 2867

10) 8202\frac{\sqrt{8}}{\sqrt{20}} \cdot \sqrt{2}

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Problem 2868

Find the exact value of sin(uv)\sin (u-v) given that sinu=513\sin u=\frac{5}{13} and sinv=1213\sin v=\frac{12}{13}, with uu and vv in quadrant II. sin(uv)=\sin (u-v)= \square (Type an integer or a simplified fraction.)

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Problem 2869

Find the exponential function of the form f(x)=axf(x)=a^{x} that contains the given point. Point: (3,1125)\left(3, \frac{1}{125}\right) f(x)=5xf(x)=5^{x} f(x)=3xf(x)=3^{x} f(x)=(13)xf(x)=\left(\frac{1}{3}\right) x f(x)=(15)xf(x)=\left(\frac{1}{5}\right) x None of these answers

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Problem 2870

Find the exact value of the expression without using al calculator. log2(log33)\log _{2}\left(\log _{3} 3\right) None of these answers 3 6 1 2

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Problem 2871

- Whole Numbers
Evaluating an algebralc expression: Whole numbers with two operations
Evaluate the expression when x=25x=25 and y=40y=40. yx5y-\frac{x}{5}

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Problem 2872

The Taylor polynomials we've shown you so far really do closely resemble the functions they come from, close to their centres.
In fact, a degree nn-Taylor polynomial for f(x)f(x) (when f(x)f(x) is one of the functions whose Maclaurin polynomials are on the list you should know) at x=0x=0 will approximate the function f(x)f(x) on the order of xnx^{n}. More precisely, limxa(f(x)Tn(x)xn)=0\lim _{x \rightarrow a}\left(\frac{f(x)-T_{n}(x)}{x^{n}}\right)=0
Notice that the above limit is a 00\frac{0}{0} form. So the fact that the overall limit is zero means that the numerator f(x)Tn(x)f(x)-T_{n}(x) goes to zero faster than the denominator xnx^{n}.
Using this, evaluate the following limits: (a) limx0cos(x)1+x229x4=\lim _{x \rightarrow 0} \frac{\cos (x)-1+\frac{x^{2}}{2}}{9 x^{4}}= \square (b) limx0e3x13x9x22x3=\lim _{x \rightarrow 0} \frac{e^{3 x}-1-3 x-\frac{9 x^{2}}{2}}{x^{3}}= \square (c) limx0sin(x)x+x362x4=\lim _{x \rightarrow 0} \frac{\sin (x)-x+\frac{x^{3}}{6}}{2 x^{4}}= \square (d) limx0ex5log(1+x7)+cos(x99)sin(x7)1x12=\lim _{x \rightarrow 0} \frac{e^{x^{5}} \log \left(1+x^{7}\right)+\cos \left(x^{99}\right)-\sin \left(x^{7}\right)-1}{x^{12}}= \square

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Problem 2873

Given that XB(45,0.38)X \sim B(45,0.38), find each of the following probabilities. Give results accurate to at least 4 decimal places. P(X=11)P(X=11) \square P(X18)P(X \leq 18) \square P(X16)P(X \geq 16) \square

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Problem 2874

In this problem, we will consider ff to be some function defined on a subset of the real numbers, and we'll assume all of its derivative exist everywhere. We will consider the limit L=limx5f(5)+f(2x5)f(5ex24x5)1L=\lim _{x \rightarrow 5} \frac{f^{\prime}(5)+f^{\prime \prime}(2 x-5)}{f\left(5 e^{x^{2}-4 x-5}\right)-1}
For each of parts (a) and (b), you will determine LL if it is a real number. Enter inf or -inf if the limit is ±\pm \infty, or enter dne if the limit fails to exist in a different way. (a) Suppose that the fourth-order Taylor polynomial at x=5x=5 is equal to T3(x)=4(x5)2(x5)2+2x5)3+100(x5)4\left.T_{3}(x)=4(x-5)-2(x-5)^{2}+2 x-5\right)^{3}+100(x-5)^{4}
Then L=L= \square (b) Suppose that the degree 4 Taylor polynomial at x=5x=5 is equal to T3(x)=1+4(x5)2(x5)2+2(x5)3+100(x5)4T_{3}(x)=1+4(x-5)-2(x-5)^{2}+2(x-5)^{3}+100(x-5)^{4}
Then L=L= \square

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Problem 2875

2xy5x=3x+1-2 x y-5 x=3 x+1

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Problem 2876

Given that XB(25,0.65)X \sim B(25,0.65), find each of the following probabilities. Give results accurate to at least 4 decimal places. P(X=19)P(X=19) \square P(X14)P(X \leq 14) \square P(X12)P(X \geq 12) \square

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Problem 2877

The formula used to compute a large-sample confidence interval for pp is p^±(z critical value )p^(1p^)n\hat{p} \pm(z \text { critical value }) \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}
What is the appropriate zz critical value for each of the following confidence levels? (Round your answers to two decimal places.) (a) 95%95 \% \square (b) 90%90 \% \square (c) 99%99 \% \square (d) 80%80 \% \square (e) 81%81 \% \square

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Problem 2878

 Let f(x)=1x+8f1(x)=\begin{aligned} \text { Let } f(x) & =\frac{1}{x+8} \\ f^{-1}(x) & = \end{aligned} \square Question Help: Video Message instructor Submit Question

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Problem 2879

The graph of a degenerate circle is a \qquad A. point B. line C. circle D. ellipse

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Problem 2880

Suppose that (56,y)\left(-\frac{5}{6}, y\right) is a point in Quadrant III lying on the unit circle. Find yy. Write the exact value, not a decimal approximation.

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Problem 2881

20. Thermodynamics texts 4{ }^{4} use the relationship (yx)(zy)(xz)=1.\left(\frac{\partial y}{\partial x}\right)\left(\frac{\partial z}{\partial y}\right)\left(\frac{\partial x}{\partial z}\right)=-1 .
Explain the meaning of this equation and prove that it is true. [HinT: Start with a relationship F(x,y,z)=0F(x, y, z)=0 that defines x=f(y,z),y=g(x,z)x=f(y, z), y=g(x, z), and z=h(x,y)z=h(x, y) and differentiate implicitly.]

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Problem 2882

\#3: Rationalize 7i+54i\frac{7 i+5}{4 i} \& then 7+6i42i\frac{7+6 i}{4-2 i}.

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Problem 2883

Let f(x)=2x25x+33x2x4f(x)=\frac{2 x^{2}-5 x+3}{3 x^{2}-x-4} This function has: 1) A yy intercept at the point \square 2) xx intercepts at the point(s) \square 3) Vertical asymptotes at x=x= \square 4) Horizontal asymptote at y=y= \square Question Help: Video 1 Video 2 Message instructor Submit Question

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Problem 2884

Order the expressions by choosing >>, <, or ==. 25×222722×5210525×52102\begin{array}{l} 2^{5} \times 2^{2} \square 2^{7} \\ 2^{2} \times 5^{2} \square 10^{5} \\ 2^{5} \times 5^{2} \square 10^{2} \end{array}

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Problem 2885

Devoir ex 12 p18
12 On donne: a=(15)+(3)(5),b=(6)+(4)+(+6)a=(-15)+(-3)-(-5), \quad b=(-6)+(-4)+(+6) et c=(5,1)(4,1)(6,3)c=(-5,1)-(-4,1)-(-6,3) Calcule : a;b;c;abc;a(bc)a ; b ; c ; a-b-c ; a-(b-c) et opp (ab+c)(a-b+c)

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Problem 2886

\#5: Solve 2x214x+27=02 x^{\wedge} 2-14 x+27=0

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Problem 2887

Solve. u222u=9u^{2}-22 u=9
Enter your answers, as decimals rounded to the nearest tenth, in the boxes. u=u= \square or \square

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Problem 2888

Let f(x)f(x) be a function whose derivative exists everywhere, and let T1(x)T_{1}(x) be the first-order Taylor polynomial to f(x)f(x) about x=ax=a. Which of the following statements are guaranteed to be true? Select all that apply. T1(a)=f(a)T_{1}(a)=f(a) T1(0)=f(0)T_{1}(0)=f(0) T1(a)=f(a)T_{1}^{\prime}(a)=f^{\prime}(a) T1(0)=f(0)T_{1}^{\prime}(0)=f^{\prime}(0) T1(a)=f(a)T_{1}^{\prime \prime}(a)=f^{\prime \prime}(a) T1(0)=f(0)T_{1}^{\prime \prime}(0)=f^{\prime \prime}(0) T1(a)=f(a)T_{1}^{\prime \prime \prime}(a)=f^{\prime \prime \prime}(a) T1(0)=f(0)T_{1}^{\prime \prime \prime}(0)=f^{\prime \prime \prime}(0)

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Problem 2889

Factor the following cubic expression. x31331x^{3}-1331 (x11)(x+11)(x-11)(x+11) (x+11)(x211x+121)(x+11)\left(x^{2}-11 x+121\right) (x11)3(x-11)^{3} (x11)(x2+11x+121)(x-11)\left(x^{2}+11 x+121\right)

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Problem 2890

9 Simplify . 1(32)21^{\circ} \sqrt{(\sqrt{3}-2)^{2}} 3(π3.2)23^{\circ} \sqrt{(\pi-3.2)^{2}} 5(75)21255^{\circ} \frac{\sqrt{(-75)^{2}}}{125} 2(658)22^{\circ} \sqrt{(\sqrt{65}-8)^{2}} 4(9π2)24^{\circ} \sqrt{\left(9-\pi^{2}\right)^{2}} 6(317)2(173)26^{\circ} \sqrt{(3-\sqrt{17})^{2}}-\sqrt{(\sqrt{17}-3)^{2}}.

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Problem 2891

\#7: Factor x33x+2x^{\wedge} 3-3 x+2 completely. (5 Points)

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Problem 2892

Problem 3. Given a function f(x)=ex2+4xf(x)=e^{-x^{2}+4 x} (a) (6 points) find the minimum and maximum values attained by ff over an interval [0,3][0,3], (b) (2 points) find the equation of the tangent line to the graph of ff at a point (0,f(0))(0, f(0)).

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Problem 2893

5. Write down a possible value for xx. 10.132<x<10.13310.132<x<10.133

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Problem 2894

Complete the process of solving the equation. Fill in the missing term on each line. Simplify any fractions. q16+10=13q16= Subtract 10 from both sides q= Multiply both sides by 16\begin{aligned} \frac{q}{16}+10 & =13 \\ \frac{q}{16} & =\square \quad \text { Subtract } 10 \text { from both sides } \\ q & =\square \quad \text { Multiply both sides by } 16 \end{aligned}

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Problem 2895

n=1147(3n2)2610(4n2)\sum_{n=1}^{\infty} \frac{1 \cdot 4 \cdot 7 \cdot \ldots \cdot(3 n-2)}{2 \cdot 6 \cdot 10 \cdot \ldots \cdot(4 n-2)}

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Problem 2896

Given the following polynomial and one factor, find the full factored form. Select THREE answer choices. 2x39x2+x+12;(x4)2 x^{3}-9 x^{2}+x+12 ;(x-4) (2x3)(2 x-3) (2x+3)(2 x+3) (x+4)(x+4) (x+1)(x+1) (x1)(x-1) (x4)(x-4)

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Problem 2897

5. Analyze each system. How would you rewrite the syste a. {12x5y=4512x+10y=20\left\{\begin{array}{c}\frac{1}{2} x-5 y=-45 \\ -\frac{1}{2} x+10 y=-20\end{array}\right. b. {4x+3y=243x+y=2\left\{\begin{array}{l}4 x+3 y=24 \\ 3 x+y=-2\end{array}\right. c. {3x+5y=172x+3y=11\left\{\begin{array}{l}3 x+5 y=17 \\ 2 x+3 y=11\end{array}\right. d. 6x+3y=56 x+3 y=5 2x+y=12 x+y=1 {(3x+5y)=17)3(2x+3y=11)5\left\{\begin{array}{l} (3 x+5 y)=17) 3 \\ (2 x+3 y=11)-5 \end{array}\right. e. {x+2y=62x+4y=12\left\{\begin{array}{c} x+2 y=-6 \\ 2 x+4 y=-12 \end{array}\right.

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Problem 2898

Which method would be appropriate to start to factor the polynomial below? 55x340x255 x^{3}-40 x^{2} Ractor by Grouping Greatest Common Factor Sums of Cubes Synthetic Division Difference of Two Squares AC Method

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Problem 2899

A volleyball is served by a 6 -foot player at an initial upward velocity of 33 feet per second. The situation is modeled by the equation h=16t2+33t+6hh=-16 t^{2}+33 t+6 h representing the height in feet and tt representing the time in seconds. Using this equation, define the domain of the ball when it reaches its maximum height. (1 point) 23.01 feet 1.22 seconds -1.03 seconds 1.03 seconds

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Problem 2900

Mache den Nenner rational. 12=\frac{1}{\sqrt{2}}= b)

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