Math

Problem 65201

The value of an investment (in dollars) after tt years is gives by A(t)=100(1.03)tA(t)=100(1.03)^{t}
Find the average rate of change of the value (in dollars per year) over the first 5 years, that is, on the interval [0,5][0,5].
Round to the nearest cent, and do not include the units or a dollar sign; just type in a qumber.

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Problem 65202

Use the Distributive Property to rewrite the expression (2x2)(x6)(2 x-2)(x-6). 2x2+10x10x28x+122x214x+123x210x8\begin{array}{l} 2 x^{2}+10 x-10 \\ x^{2}-8 x+12 \\ 2 x^{2}-14 x+12 \\ 3 x^{2}-10 x-8 \end{array}

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Problem 65203

PDF w/o expl
8. Slide \#8 10 pts possible

A 790 N student stands in the middle of a frozen pond having a radius of 4.9 m . He is unable to get to the other side because of a lack of friction between his shoes and the ice. To overcome this difficulty, he throws his 3.5 kg physics textbook horizontally toward the north shore at a speed of 6.6 m/s6.6 \mathrm{~m} / \mathrm{s}.
The acceleration of gravity is 9.81 m/s29.81 \mathrm{~m} / \mathrm{s}^{2}. How long does it take him to reach the south shore?
Answer in units of s. Answer in units of s.
Your response...

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Problem 65204

12. Here are two sequencen: 1 EXAM
Sequence B a. For sequence AA, describe a way to produce each new term from the previous term. take Lle previas term and limes it by 10 b. For sequence B, describe a way to produce each new term from the previous term. c. Write a definition for the nnth term of sequence AA d. Write a definition for the nth term of sequence B e. If these sequences continue, then which is greater, A(6)A(6) or B(6)B(6) ? Explain or show how you know.

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Problem 65205

(6x2+7x+7)(3x2+5x1)\left(6 x^{2}+7 x+7\right)\left(3 x^{2}+5 x-1\right)
Simplify your answer.

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Problem 65206

1. A basketball team consists of some quards and six forwards. If there are 420 ways to select two guards and three forwards to the starting line-up, then the number of quards on the team is \qquad
2. A coach must choose the 5 starters for a basketball team from 6 males and 5 females. If there must be at least two of each gender in the starting line-up, the number of different groups of players that can be chosen is \qquad
3. A sports store has jerseys representing the seven Canadian NHL teams and the eight Canadian CFL teams. Five of these jerseys have to be chosen for display in a store window. The store owner decides to choose three NHL and two CFL jerseys. These jerseys will be arranged in a row in the store window. The number of displays that can be made by choosing the jerseys and then arranging them in the window is \qquad
4. How many arrangements of the word POPPIES can be made

If the first letter is PP and the next one is not PP.

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Problem 65207

10. Solve the equation 4(2x9)=3x+44(2 x-9)=3 x+4 a. -32 b. 32/5-32 / 5 c. 40/340 / 3 d. 8

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Problem 65208

1. Dion drives a hovercraft at 40 miles per hour on the Mississippi River. How far does Dion travel in 15 minutes?
Dion travels \square miles in 15 minutes.

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Problem 65209

Which set of side lengths represents a triangle with 3 lines of reflectional symmetry? 3,4,5 3, 6, 9 5, 5, 5 5,10,55,10,5

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Problem 65210

If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true? The figure must be an isosceles trapezoid because it has 2 congruent base angles. The figure must be a rectangle because all rectangles have exactly 2 lines of symmetry. The figure could be a rhombus because the 2 lines of symmetry bisect the angles. The figure could be a square because the diagonals of a square bisect the right angles.

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Problem 65211

Managed Favorites PCPS Desktop Home TBC: Read Watch Le... reference_media.pdf Restore pages Microsoft Edge closed while you open.
The table shows the scores of two teams at the end of the first half of a trivia challenge. \begin{tabular}{|c|c|} \hline Team & Points Scored \\ \hline Bobcats & 2x72 x-7 \\ \hline Huskies & 5x35 x-3 \\ \hline \end{tabular}
How many more points did the Huskies score than the Bobcats? \qquad point(s) \qquad () Need help with this question?

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Problem 65212

Give the relevant proportion using correct notation. A survey conducted of 1060 randomly selected US teens aged 13 to 17 found that 605 of them say they have made a new friend online. 1{ }^{1} 1{ }^{1} Lenhart A, "Teens, Technology, and Friendships", Pew Research Center, pewresearch.org, August 6, 2015. :=:= \square \square \square : : < : μ\mu μ1\mu_{1} μ2\mu_{2} : pp : p1p_{1} p2p_{2} 0.57 : ρ\rho xˉ\bar{x} \square xˉ2\bar{x}_{2} p^\hat{p} p^1\hat{p}_{1} p^2\hat{p}_{2} : rr

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Problem 65213

Math 616-1
Three members of a teen hiking group hiked 35\frac{3}{5} of the entire Appalachian trail. The hikers took turns carrying a backpack of supplies. If each teen carried the backpack the same distance, what part of the total distance did each hiker carry the backpack?
In this problem, the numerator is the same number as the \square So the answer will be a \square Each hiker carried the backpack for \square of the total trail distance. Intro Done

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Problem 65214

(7). Find the angle AA in the triangle with the given sides. a=4.5,b=3.5,c=6.5a=4.5, b=3.5, c=6.5

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Problem 65215

Equation 2 28x+20y=030=91\begin{array}{l} 2 \quad 8 x+20 y=-03 \\ 0=-91 \end{array} c 16x=9116 x=-91
41c This system of equations is: Dependent - there are an Independent - there is only Inconsistent - there are no infinite number of solutions one solution solutions Submit step \curvearrowright View next step

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Problem 65216

A)
A farm has two cylindrical silos for storing grain as shown.
Silo A
Silo B
How much greater is the volume, in cubic feet, of the larger silo than the smaller silo?
Use 3.14 for pi. Show your work. (3 points)
The volume of Silo AA is: \qquad ift t3t^{3}.
The volume of Silo B is \qquad ft3f t^{3}
The volume of Silo AA is \square cubic feet larger than the volume of the Silo B. 33,912.033,912.0 20,347.220,347.2 : 6,782.4\mathbf{6 , 7 8 2 . 4} 27, 129.6 13,564.813,564.8

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Problem 65217

(MP) Model with Mathematics A box of pasta weighs 13.6 ounces. A recipe calls for 95.2 ounces of pasta. Write and solve an equation to find the number of boxes of pasta needed to make the recipe.

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Problem 65218

2. Line Segment ABA B has endpoints A(10,4)A(-10,4) and B(6,2)B(-6,2). What is the equation of the perpendicular bisector of ABA B. (Need to use midpoint formula, slope formula and point slope form to answer this question)

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Problem 65219

What is the simplified form of y2+7y+12y22y15?\frac{y^{2}+7 y+12}{y^{2}-2 y-15} ? y4y5\frac{y-4}{y-5} y4y+5\frac{y-4}{y+5} y+4y5\frac{y+4}{y-5} y+4y+5\frac{y+4}{y+5}

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Problem 65220

wo points are shown. (8,13)(-8,13) and (6,3)(-6,3) Which of the following correctly shows how to find the slope of the line that passes through the points given? m=1338(6)=102=5m=\frac{13-3}{-8-(-6)}=\frac{10}{-2}=-5 m=6(8)133=210=15m=\frac{-6-(-8)}{13-3}=\frac{2}{10}=\frac{1}{5} m=1336(8)=102=5m=\frac{13-3}{-6-(-8)}=\frac{10}{2}=5 m=8(6)133=210=15m=\frac{-8-(-6)}{13-3}=\frac{-2}{10}=-\frac{1}{5}

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Problem 65221

34c State the slope of Equation 1: y=4x4y=4 x-4 Slope == \square Enter your next step here + ( ) ग aba^{b} ab\frac{a}{b} Submit step View next step

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Problem 65222

6.) Josie determines that she can only afford a car payment of $250\$ 250 per month. The car she wants to purchase has a 4.22\% APR for 60 months and a down payment of $500\$ 500. The dealership calculates a monthly payment of $350\$ 350 What are some things that will lower Josie's monthly payment? Increase her dain pagment and find a laver mitrest rate frama tre car longer

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Problem 65223

18. Perform the operations of complex numbers and simplify: (14i)(52i)(2i)(1-4 i)(5-2 i)-(2-i)

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Problem 65224

Calculate the fluid intake in milliliters (mL)(\mathrm{mL}) for the following food items. Please fill in each blank. If the item is not included in 1&O1 \& \mathrm{O}, then write 0 . Assume - a soup bowl holds 4 oz , - a Jell-o cup holds 2 oz, - a glass holds 8 oz .
Calculate the mL , for each item below, that would be included in the patient's intake. 1/21 / 2 bowl tomato soup = \square mL
1 lime Jell-o cup = \square mL 1/21 / 2 quart iced tea == \square mL
1 glass water = \square mL
2 bagels == \square mL
TOTAL == \square mL

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Problem 65225

FUZZIE || 1: Find the GCF: 12 & 26 answer choices A: B: C: 4 2 1 2: Find the LCM: D: Et F: 14 35 28 5&7 G: H I: 5 12 7 3: Find the GCF: 14 & 35 4: Find the LCM: 4 & 12 Type the 4- letter code into the answer box. All CAPS, no spaces.

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Problem 65226

23.An RC circuit has an emf of 100 volts, a resistance of 5 ohms, a capacitance of 0.02 farad, and an initial charge on the capacitor of 5 coulombs. Find (a) an expression for the charge on the capacitor at any time tt and (b) the current in the circuit at any time t .

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Problem 65227

55x7=2(x+1)5 \quad 5 x-7=2(x+1) 63(x2)=9(x+2)63(x-2)=9(x+2) 73x4=2x+85x73 x-4=2 x+8-5 x 83(84x)=3411x83(8-4 x)=34-11 x

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Problem 65228

43i53i\frac{4-3 i}{-5-3 i}

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Problem 65229

6.57 g=mcg6.57 \mathrm{~g}=\ldots \mathrm{mcg}

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Problem 65230

The average American gets a haircut every 37 days. Is the average smaller for college students? The data below shows the results of a survey of 13 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 42,30,26,24,26,40,42,29,23,27,24,29,3242,30,26,24,26,40,42,29,23,27,24,29,32
What can be concluded at the the α=0.01\alpha=0.01 level of significance level of significance? a. For this study, we should use t-test for a population mean 0 b. The null and alternative hypotheses would be: H0H_{0} : μ0\mu 0 E \square \square 060^{6} 060^{6}
0 060^{6} c. The test statistic \square t2)2=\left.t^{2}\right)^{2}= (please show your answer to 3 decimal places.) \square d. The p -value == \square (Please show your answer

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Problem 65231

Problem Statement: Cumulative Sum for Multiple Queries Problem Description: You are given an array of integers arr[] of size nn. You need to answer multiple range sum queries. For each query, you will be asked to return the sum of elements in the subarray from index I to index rr (both inclusive). You need to process these queries efficiently.
Input: - An array arr[] of integers with size nn. - An integer qq representing the number of queries. - For each query, you are given two integers / and rr, where you need to return the sum of elements in the subarray arr[l...r].
Output: - For each query, print the sum of elements from index I to r (inclusive).
Example Test Cases: Example 1: Input: arr =[1,2,3,4,5]=[1,2,3,4,5] Number of Queries: 3 02 14 04 Output: 6 14 15

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Problem 65232

A triangle has two sides of lengths 5 and 12 . What value could the length of the third side be? Check all that apply. A. 9 B. 17 C. 5 D. 7 E. 19 F. 11

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Problem 65233

(4)) Shanti has 32 toys and 40 erasers to divide into prize bags for her friends. Shanti wants each prize bag to have the same number of toys and the same number of erasers. 4) What is the greatest number of prize bags Shanti can make? 41) Use the number pad to enter your answer in the box. (4) The greatest number of prize bags Shanti can make is \square

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Problem 65234

167. A 0,0200M0,0200 \mathrm{M} solution of methylamine, CH3NH2\mathrm{CH}_{3} \mathrm{NH}_{2}, has a pH=11.40\mathrm{pH}=11.40. Calculate the Kb\mathrm{K}_{\mathrm{b}} for methylamine. CH3NH2+H2O(l)CH3NH3+O+OHO0.0200M\begin{array}{l} \mathrm{CH}_{3} \mathrm{NH}_{2}+\mathrm{H}_{2} \mathrm{O}(\mathrm{l}) \frac{\mathrm{CH}_{3} \mathrm{NH}_{3}^{+}}{\mathrm{O}}+\frac{\mathrm{OH}^{-}}{\mathrm{O}} \\ 0.0200 \mathrm{M} \end{array}

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Problem 65235

1) x+y=1x+3y=11\begin{array}{l} -x+y=-1 \\ x+3 y=-11 \end{array} 2) x+3y=33x2y=2\begin{array}{l} x+3 y=3 \\ 3 x-2 y=-2 \end{array} 3) x2y=52x3y=18\begin{array}{l} -x-2 y=-5 \\ 2 x-3 y=-18 \end{array} 4) y=6x112x3y=7\begin{array}{l} y=6 x-11 \\ -2 x-3 y=-7 \end{array} 5) x=3y+12x+4y=12\begin{array}{l} x=3 y+1 \\ 2 x+4 y=12 \end{array}

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Problem 65236

\begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 14 & 4 \\ \hline 15 & 5 \\ \hline 17 & 7 \\ \hline 18 & 8 \\ \hline \end{tabular} y=y=

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Problem 65237

阵, Complete the table for the function y=3xy=3^{x}. \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-1 & \square \\ \hline 0 & \square \\ \hline 1 & \square \\ \hline 2 & \square \\ \hline \end{tabular}
Now, graph the function.

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Problem 65238

Assume the annual rate of change in the national debt of a country (in billions of dollars per year) can be modeled by the function D(t)=848.18+816.08t151.95t2+17.76t3D^{\prime}(t)=848.18+816.08 t-151.95 t^{2}+17.76 t^{3} where tt is the number of years since 1995. By how much did the debt increase between 1996 and 2007?2007 ?
The debt increased by $72,270.55\$ 72,270.55 billion. (Round to two decimal places as needed.)

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Problem 65239

7.) ax=by=cz=35ab+bc+ca=75abcx+y+z=a x=b y=c z=\frac{3}{5} \quad a b+b c+c a=75 a b c \quad x+y+z= ?

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Problem 65240

Multiple Choice 1 point
If each edge of a cube is tripled, how many times greater will the total surface area become? 3. 9 54 27 6

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Problem 65241

1' Fraction Real as Sin shin Quotient 1/53/75/193/4\begin{array}{l} 1 / 5 \\ 3 / 7 \\ 5 / 19 \\ 3 / 4 \end{array}
2
3 Simplify 6/912/2430/9363/846 / 9 \quad 12 / 24 \quad 30 / 9363 / 84 4) Find the guotient or product (a) 56×23\frac{5}{6} \times \frac{2}{3} (5) 18÷3\frac{1}{8} \div 3 (C) 423×1344 \frac{2}{3} \times 1 \frac{3}{4}

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Problem 65242

Solve the inequality and graph the solution. 2p212 \geq \frac{p}{2}-1
Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it. Submit

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Problem 65243

Hasan placed 6 square unit tiles inside a figure as shown. He said the area of the figure is less than 6 square units.
Complete the statement about Hasan's claim. CLEAR CHECK
Hasan is \square because the tiles \square overlap when they cover the figure.

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Problem 65244

limx83p(x)2x153x=?\lim_{x \rightarrow 8^{-}} \frac{3p(x) - 2x}{15 - 3x} = ?
Given that as xx approaches 8 from the left, the value of p(x)p(x) approaches 2, and as xx approaches 8 from the right, the value of p(x)p(x) approaches 3.

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Problem 65245

Question 67
A client's intake was the following: - 11/411 / 4 cup of coffee (1(1 cup =4oz)==4 \mathrm{oz})= \square mL - 4 oz cranberry juice = \square mL - 11/211 / 2 bowls of chicken broth (1(1 bowl =8oz)==8 \mathrm{oz})= \square mL - 41/241 / 2 glasses of water ( 1 glass =6=6 oz )=)= \square mL - The client voided urine as follows: 360 mL,120 mL,300 mL360 \mathrm{~mL}, 120 \mathrm{~mL}, 300 \mathrm{~mL}, and 225 mL
Calculate the client's intake and output in mL . a. Intake: \square mL b. Output: \square mL

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Problem 65246

The lunch special at Maya's Restaurant is a sandwich, a drink and a dessert. There are 3 sandwiches, 4 drinks, and 1 dessert to choose from. How many lunch specials are possible?

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Problem 65247

Question 8 (1 point) Which of the following functions has exactly one vertical asymptote when graphed? A) f(x)=6x23xf(x)=\frac{6}{x^{2}-3 x} B) f(x)=6xx23xf(x)=\frac{6 x}{x^{2}-3 x} C) f(x)=6x218xxf(x)=\frac{6 x^{2}-18 x}{x} D) B and C

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Problem 65248

A ball dropped from 256 feet bounces up 14\frac{1}{4} of its fall height. What height on the third bounce?

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Problem 65249

Solve the system using Gaussian elimination: x+2y+4z=14x+3y+4z=8x+y5z=20 \begin{array}{rr} x+2y+4z= & 14 \\ -x+3y+4z= & 8 \\ x+y-5z= & -20 \end{array} Find the solution as an ordered triple.

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Problem 65250

Rewrite the expression xx+4\frac{x}{x+4} to have the denominator 5x+205x + 20. Choose the correct option.

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Problem 65251

Simplify the expression: 6cw+2w7\frac{6 c}{w}+\frac{2 w}{7}. Choose the correct option.

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Problem 65252

The Smithsons traveled 13\frac{1}{3} of the distance to Dallas, covering 126 miles. What is the total distance?

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Problem 65253

Convert 4.22oz4.22 \mathrm{oz} to kilograms. How many kg is that?

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Problem 65254

Graph the pairs for flour (ff) and sugar (ss) using f=3,6,9,12f = 3, 6, 9, 12. The ratio is 3f=2s3f = 2s.

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Problem 65255

Find the derivative f(π4)f^{\prime}\left(\frac{\pi}{4}\right) for the function f(x)=sinx(2+cosx)f(x)=\sin x(2+\cos x).

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Problem 65256

Graph the solution set and write it in interval notation for: 23b3<62 \leq 3b - 3 < 6.

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Problem 65257

Convert the ratio of miles to hours (434 miles to 7 hours) into a rate.

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Problem 65258

Mr. Sheridan drives 196 miles using 7 gallons.
a) Graph gg (gasoline) vs. mm (mileage). b) What does the slope indicate about car efficiency?

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Problem 65259

Multiply and divide fractions, express answers in lowest terms or as mixed numbers. Also, compare plug diameters and calculate areas.

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Problem 65260

1. Shantel studied for 20 minutes and is 14\frac{1}{4} done. How much longer will she study?
2. Damon has added 34\frac{3}{4} of the ingredients with 6 added. How many more does he need to finish?

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Problem 65261

Simplify the expression: 3x24x\frac{3}{x^{2}}-\frac{4}{x}. Choose the correct answer from the options provided.

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Problem 65262

Solve the system using Gaussian elimination and backward substitution:
x+2y+4z=11x+3y+3z=2x+y5z=6 \begin{array}{rr} x+2y+4z= & 11 \\ -x+3y+3z= & -2 \\ x+y-5z= & -6 \end{array}
Is the solution unique, infinite, or nonexistent?

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Problem 65263

An oil firm has a 10%10\% success rate. Find the probability of hitting oil on the first well and missing the second, and at least one hit in two wells.

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Problem 65264

Graph the solution set and express it in interval notation for the inequality: 23b3<62 \leq 3b - 3 < 6.

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Problem 65265

Solve for yy in the equation w=xy2zw=\frac{x-y}{2}-z. What is yy? A. y=x(2w+z)y=x-(2 w+z) B. y=2(w+z)xy=2(w+z)-x C. y=2w+zxy=2 w+z-x D. y=x2(w,z)y=x \quad 2(w, \quad z)

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Problem 65266

Solve the equation: 4(3+x)+34=4(x+3)-4(3+x)+\frac{3}{4}=-4(x+3).

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Problem 65267

Simplify the complex fraction: (x+18)(x+6x)\frac{\left(\frac{x+1}{8}\right)}{\left(\frac{x+6}{x}\right)}. Choose A, B, C, or D.

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Problem 65268

Graph the pairs for sugar needed with 3 cups flour for every 2 cups sugar using 3,6,9,123, 6, 9, 12 cups of flour.

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Problem 65269

Two ships leave a port. One sails at 4848^{\circ}, 12 knots; the other at 138138^{\circ}, 22 knots. Distance apart after 1.5 hours?

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Problem 65270

In 2004, 48% of Florida households had no hurricane escape plan. For 50 sampled households in Gainesville, find the prob. of 29+ with plans using binomial distribution. Is the normal approximation accurate?

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Problem 65271

Solve the system: -25x - 33y - z = 28 -40x - 55y - 2z = 52 30x + 33y + z = -8 Choose A (one solution), B (infinitely many), or C (no solution).

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Problem 65272

How many minutes to fill a 1-gallon bucket if water drips at 41 drops/min and there are 15,000 drops in a gallon?

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Problem 65273

Find where the expression z32\frac{z-3}{2} is undefined. Choose one: A. z=3z=-3 B. z=0z=0 C. z=3z=3 D. none

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Problem 65274

Which equation correctly isolates xx from fxg=h-f x - g = h? A. x=h+gfx=\frac{h+g}{f} B. x=9hjx=\frac{9-h}{-j} C. x=h+gfx=\frac{h+g}{-f} D. x=hyy2x=\frac{h y}{-y^{2}}

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Problem 65275

Two ships leave a port at the same time. After 1.5 hours, how far apart are they if one sails at 24 knots and the other at 26 knots?

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Problem 65276

Two ships leave a port. First sails at 4747^{\circ}, 12 knots; second at 137137^{\circ}, 14 knots. Distance apart after 1.5 hours?

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Problem 65277

Simplify the expression 4x2+4xx+1\frac{4x^{2}+4x}{x+1}.

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Problem 65278

Complete the table for GCF and LCM. Find Karen's age today if it's a multiple of 9 and was a multiple of 8 five years ago.

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Problem 65279

Find the perimeter of a rectangle with length 5x4\frac{5}{x-4} ft and width 2x\frac{2}{x} ft.

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Problem 65280

Let (Y1,Y2)(Y_1, Y_2) have joint density fY1,Y2(y1,y2)f_{Y_1, Y_2}(y_1, y_2). Define U1=Y1+Y2U_1 = Y_1 + Y_2, U2=Y2U_2 = Y_2.
a) Show fU1,U2(u1,u2)=fY1,Y2(u1u2,u2)f_{U_1, U_2}(u_1, u_2) = f_{Y_1, Y_2}(u_1 - u_2, u_2).
b) Find fU1(u1)=fY1,Y2(u1u2,u2)du2f_{U_1}(u_1) = \int_{-\infty}^{\infty} f_{Y_1, Y_2}(u_1 - u_2, u_2) du_2.
c) If Y1Y_1 and Y2Y_2 are independent, show fU1(u1)=fY1(u1u2)fY2(u2)du2f_{U_1}(u_1) = \int_{-\infty}^{\infty} f_{Y_1}(u_1 - u_2) f_{Y_2}(u_2) du_2.

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Problem 65281

How many times smaller is 184.36 than 9,027.83? Explain using place value.

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Problem 65282

Harry sold portraits for \$15 each and sketches for \$5 each. If he sold 6 portraits and 13 sketches, how much did he earn?

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Problem 65283

Write 5÷85 \div 8 as a fraction and find an equivalent fraction.

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Problem 65284

Two docks are 2591 ft apart. From dock A, the bearing to a reef is 632263^{\circ} 22^{\prime}, and from dock B, it's 33322333^{\circ} 22^{\prime}. Find the distance from dock A to the reef (round to nearest integer).

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Problem 65285

Find the derivative dydx\frac{d y}{d x} for y=sinxcos3xy=\sin x-\cos 3 x.

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Problem 65286

Identify the rational expression from the options: a. xyx^y, b. xyxy, c. xy\frac{x}{y}, d. x+yx+y.

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Problem 65287

Plot the equation 2+2-2 + 2 on a number line.

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Problem 65288

Solve the inequality 4(3x+2)<5(3x2)4(3x+2)<5(3x-2) for xx and test x=1,5,10x=1, 5, 10 to form a hypothesis.

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Problem 65289

Find dydx\frac{d y}{d x} for y=sinxcos3xy=\sin x-\cos 3 x at x=45x=45^{\circ}.

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Problem 65290

Find the new coordinates of the point (2,6)(2,-6) after applying the transformations R270R_{270^{\circ}} and then ry-axisr_{\mathrm{y} \text{-axis}}.

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Problem 65291

Find dydx45\left.\frac{d y}{d x}\right|_{45^{\circ}} for y=sinxcos3xy=\sin x-\cos 3 x.

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Problem 65292

Estimate household size H\mathrm{H} using H=aM+bP+c\mathrm{H}=\mathrm{aM}+\mathrm{bP}+\mathrm{c} from given data. Find a\mathrm{a}, b\mathrm{b}, c\mathrm{c}.

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Problem 65293

Find the distance from dock A to a coral reef given docks A and B are 2593ft2593 \mathrm{ft} apart with bearings 612861^{\circ} 28^{\prime} and 33128331^{\circ} 28^{\prime}. Round to the nearest integer.

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Problem 65294

Is the function f(x)=12(5x1)f(x)=\frac{1}{2}(5x-1) linear?

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Problem 65295

A hot-water bottle has 763 g of water at 73°C. How many kJ of heat transfers to sore muscles if it cools to 37°C?

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Problem 65296

At Maria's school, 3 out of 5 students join a club or sport. With 175 students, find the total participants using equivalent fractions.

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Problem 65297

Omar's headphone plug changes from 1/81/8" to 1/41/4".
a) Does the adapter increase or decrease the diameter? b) How many times larger is the larger plug's diameter? c) By how many inches is the larger plug's diameter greater?

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Problem 65298

Maria reads 40 pages in 2 hours. Find the equation for pages read vs. time, and explain each part of the equation.

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Problem 65299

Two ships leave a port: one at N3050EN 30^{\circ} 50^{\prime} E at 20.6 mph and another at 5910E59^{\circ} 10^{\prime} E at 12.3 mph. Find their distance apart after 2 hours. Round to the nearest mile.

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Problem 65300

Simplify the expression x21x÷(x+1)\frac{x^{2}-1}{x} \div(x+1) and choose the correct option: a. x+1x+1, b. (x1)x\frac{(x-1)}{x}, c. (x+1)x\frac{(x+1)}{x}, d. 1x+1\frac{1}{x+1}.

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