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One-step inequalities: word problems

88. (44 pts) The Leslie matrix for a female cheetah population with four age groups consisting of cubs, adolescents, young adults, and adults has largest eigenvalue c=1.255 c=1.255 and associated eigenvector [30.511.417.280.3] \left[\begin{array}{l}30.5 \\ 11.4 \\ 17.2 \\ 80.3\end{array}\right] .\newlinea) What is true about the long-term fate of this population?\newlineA. _The population dies out because the initial population is an eigenvector\newlineB. _The population dies out because the long-term growth factor c c is less than 11\newlineC. The population grows exponentially because the long-term growth factor c c is positive\newlineD. _The population grows exponentially because the long-term growth factor c c is greater than 11\newlineE. _The population stays the same because the initial population is not an eigenvector\newlineb) Determine the percentage of female cubs in the long run. Round the percentage to two decimal places.
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33. Select all expressions that are equivalent to 5x+2−(3x−1) 5 x+2-(3 x-1) \newlinea. 5x+1−3x−7 5 x+1-3 x-7 b. 5x+−3x+2+1 5 x+-3 x+2+1 \newlinec. 2x+3 2 x+3 \newlinec. 2x+3 2 x+3 \newlined. 5x−3x+2−1 5 x-3 x+2-1 e. 5x+2+−3x−−1 5 x+2+-3 x--1 \newline44.) At midnight, the temperature in a city was 22 degrees Celsius. The temperature was dropping at a steady rate of 44 degrees Celsius per hour.\newlinea. Write an inequality that represents t t , the number of hours past midnight, when the temperature was colder than −10-10 degrees Celsius.\newline66. On the number line, show all the values of t t that make your inequality true.\newlinea. Expand to write an equivalent expression: −14(−12x+16y) -\frac{1}{4}(-12 x+16 y) \newlineFactor to write an equivalent expression: 5x+1−3x−7 5 x+1-3 x-7 00
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Select all expressions that are equivalent to \newline5x+2−(3x−1)5x+2-(3x-1)\newlinea. \newline5x+1−3x−75x+1-3x-7 b. \newline5x+−3x+2+15x+-3x+2+1\newlinec. \newline2x+32x+3\newlinec. \newline2x+3x+3x+2−12x+3x+3x+2-1\newlined. \newline5x−3x+2−15x-3x+2-1 e. \newline5x+2+−3x−−15x+2+-3x--1\newline44.) At midnight, the temperature in a city was 22 degrees Celsius. The temperature was dropping at a steady rate of 44 degrees Celsius per hour.\newlinea. Write an inequality that represents \newlinett, the number of hours past midnight, when the temperature was colder than 5x+1−3x−75x+1-3x-700 degrees Celsius.\newlineOn the number line, show all the values of \newlinett that make your inequality true.\newlinea. Expand to write an equivalent expression: \newline5x+1−3x−75x+1-3x-722\newlineFactor to write an equivalent expression: \newline5x+1−3x−75x+1-3x-733
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Pete took 33 history tests last quarter. For the first test, he studied for 6565 minutes and scored 87%87\%. For the second test, he studied for 4545 minutes and scored 73%73\%. For the third test, he studied for 8080 minutes and scored 98%98\%. Is the relationship between the amount of time Pete studied and the resulting test score a linear relationship?\newlineChoices:\newline(A)yes\newline(B)no\newlineNow, justify your answer.\newlineChoices:\newline(A)The longer Pete studied, the better his test score.\newline(B)Pete's test scores increased by 77 points for every additional 1010 minutes of study time.\newline(C)The increase in Pete's test score for every additional minute of study time is not constant.\newline(D)Pete's test score decreased from the first test to the second test and then increased from the second test to the third test.
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fuction to Engineering Design - Final Exam\newlinePage 77 of 77\newline55 points) Constrained Optimization\newlineour company is considering hiring experienced and inexperienced workers.\newlinea) Experienced workers are paid $30 \$ 30 / hour and inexperiend workers are paid $20/ \$ 20 / hour. The company can spend $2400 \$ 2400 / hour on labor.\newlineExperienced workers require an average of 11 minute an hour of contact with a supervisor; inexperiend workers require 22 minutes an hour. All available supervisors can provide 120120 minutes an hour.\newlineLet x1 x_{1} be the number of experienced workers and x2 x_{2} be the number of inexperienced workers. Use the above information to write inequality constraints.\newlineb) Sketch a graph of these constraints and highlight the feasible region (region of ( x1,x2 x_{1}, x_{2} values that obey all constraints). Label the corner points of this feasible region.\newline(c) Your company finds that experienced workers complete 1010 tasks per minute, while inexp rienced worked only complete 99. Given the corner points you found in the previous par maximize task completion. How many experienced and inexperienced workers should y hire?
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A farmer is going to divide her 5050 acre farm between two crops. Seed for crop A costs $50 \$ 50 per acre. Seed for crop B costs $25 \$ 25 per acre. The farmer can spend at most $2,250 \$ 2,250 on seed. If crop B brings in a profit of $90 \$ 90 per acre, and crop A brings in a profit of $220 \$ 220 per acre, how many acres of each crop should the farmer plant to maximize her profit? Write the objective function then use the feasible region shown in the graph below to maximize it.\newlineLet x= x= the number of acres of crop A A \newlineLet y= y= the number of acres of crop B B \newlineObjective Function: P= P= \newlineConstraints:\newlinex≥0,y≥0x+y≤5050x+25y≤2250 \begin{array}{l} x \geq 0, y \geq 0 \\ x+y \leq 50 \\ 50 x+25 y \leq 2250 \end{array} \newlineThe Farmer should Plant $25 \$ 25 00 acres of crop A and $25 \$ 25 00 acres of crop B.
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Apolline is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus a constant fee for each hour of work. Her fee for a 55-hour job, for instance, is $42\$42. Her fee for a 33-hour job is $28\$28. Let yy represent Apolline's fee (in dollars) for a single job that took xx hours for her to complete. Which of the following information about the graph of the relationship is given?
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browardschools.instructure.com/courses/18074721807472/assignments/4374177443741774 Paused ALGEBRA 11-... > Assignments > 77−3-3: MathXL for School: Additional Practice Technical - 20232023/20242024 Quarte... 77−3-3: MathXL for School: Additional Practice Due Apr 22 by 1111:5959pm Points 100100 Submitting an external tool Attempts 00 Allowed Attempts 33 Available after Apr 22 at 1212 am 77−3-3: MathXL for School: Additional Practice Syllabus Nearpod reavasliże. ALGEBRA T-B - MURPHY - 20232023/20242024 QUARTER 44 (LMS) 77−3-3: MathXL for School: Additional Practice (LMS graded) Part 11 of 77 Use the quadratic function f(x)=14x2+4x+11f(x)=\frac{1}{4}x^{2}+4x+11 to answer the following questions. a) Use the vertex formula to determine the vertex. The vertex is ◻. (Type an ordered pair. Simplify your answer.) Help me solve this View an example Get more help - Clear all Check answer Review Progress Question 33 of 1010 Back Next
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browardschools.instructure.com/courses/18074721807472/assignments/4374177443741774\newlinePaused\newlineALGEBRA 11-... > Assignments > 77−3-3: MathXL for School: Additional Practice\newlineTechnical - 20232023/20242024 Quarte...\newline77−3-3: MathXL for School: Additional Practice\newlineDue Apr 22 by 1111:5959pm Points 100100 Submitting an external tool Attempts 00 Allowed Attempts 33\newlineAvailable after Apr 22 at 1212 am\newline77−3-3: MathXL for School: Additional Practice\newlineSyllabus\newlineNearpod\newlinerênasliże.\newlineALGEBRA T-B - MURPHY - 20232023/20242024 QUARTER 44 (LMS)\newline77−3-3: MathXL for School: Additional Practice (LMS graded)\newlineMastery Tracker\newlineIXL Learning\newlinePart 11 of 77\newlineUse the quadratic function f(x)=14x2+4x+11 f(x)=\frac{1}{4} x^{2}+4 x+11 to answer the following questions.\newlinea) Use the vertex formula to determine the vertex.\newlineThe vertex is □ \square .\newline(Type an ordered pair. Simplify your answer.)\newlineHelp me solve this\newlineView an example\newlineGet more help -\newlineClear all\newlineCheck answer\newlineReview Progress\newlineQuestion 33 of 1010\newlineBack\newlineNext
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A factory sells backpacks for $40.00 \$ 40.00 each. The cost to make 11 backpack is $10.00 \$ 10.00 . In addition to the costs of making backpacks, the factory has operating expenses of $12,000 \$ 12,000 per week. The factory's goal is to make a profit of at least $980 \$ 980 each week. Which inequality represents the number of backpacks, x x , that need to be sold each week for the factory to meet this goal? How many backpacks must the factory sell to meet its weekly goal?\newlineSelect the inequality that represents this situation and select the correct statement.\newlineDRAG \& DROP THE ANSWLR\newlineThe factory must sell a minimum of 368368 backpacks to meet the weekly goal.\newline30x+12,000≥980 30 x+12,000 \geq 980 \newlineThe factory must sell a minimum of 432432 backpacks to meet the weekly goal.\newlineInequality\newlineEMILY WILLIAMS\newlineQuestion 1313/2828\newlineB\newlineBOosмана\newlineWhich of the following opress × \times \newlinechools org bookmarks\newlineDavid Dencr Crock.\newlineschoed things 99 why was the diectio-\newline44 games\newlineis tiat alye\newlineRchard Watterson L.\newlineTypina Lemsons 44\newlineAl Bockm\newline(33) EMILY WILLIAMS\newline(66)\newlineThe factory must sel.
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A factory sells backpacks for $40.00\$40.00 each. The cost to make 11 backpack is $10.00\$10.00. In addition to the costs of making backpacks, the factory has operating expenses of $12,000\$12,000 per week. The factory's goal is to make a profit of at least $980\$980 each week. Which inequality represents the number of backpacks, xx, that need to be sold each week for the factory to meet thls goal? How many backpacks must the factory sell to meet its weekly goal? Select the inequality that represents this situation and select the correct statement. DRAG & DROP THE ANSWER Inequality EMILY WILLIAMS Question 1313/2828 NEXT BOOKMARK Which of the following express app.edulastic.com/student/assessment/55dd1111d77f0303b77ad09243540924354f6161/class/662113258293662113258293e0707e22b122122b0000/uta/66296629ae68106810cbod1919c59885988e1515/t chools org booknarks David ＂Davy＂ Crock school things Why was the efectio- games text alyne Pfichard Watterson : Typing Lessons 33 All Bookm (88) EMILY WILLIAMS (
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Tisha tried to evaluate an expression. Here is her work:\newline490÷72⋅9−2⋅3=490÷49⋅9−2⋅3=10⋅9−2⋅3=90−2⋅3=88⋅3=264 \begin{aligned} & 490 \div 7^{2} \cdot 9-2 \cdot 3 \\ = & 490 \div 49 \cdot 9-2 \cdot 3 \\ = & 10 \cdot 9-2 \cdot 3 \\ = & 90-2 \cdot 3 \\ = & 88 \cdot 3 \\ = & 264 \end{aligned} \newlineIs Tisha's work correct?\newlineNo, Tisha made a mistake going from Step 11 to Step 22. Tisha should have multiplied 4949 and 99 before dividing. The order of operations says to multiply before you divide.\newlineNo, Tisha made a mistake going from Step 33 to Step 44. Tisha should have multiplied 22 and 33 before subtracting. The order of operations says to multiply before you subtract.\newlineYes, Tisha's work is correct.
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Import favorites\newlineMVNU Students Ho...\newlineA\newlineALEKS - Jameson C...\newlineTrigonome tric Graphs\newlineWord problem involving a sine or cosine function: Problem type 22\newline3/5 3 / 5 \newlineJameson\newlineEspañol\newlineA person sitting on a Ferris wheel rises and falls as the wheel turns. Suppose that the person's height above ground is described by the following function.\newlineh(t)=18.6+15.4cos⁡1.3t h(t)=18.6+15.4 \cos 1.3 t \newlineIn this equation, h(t) h(t) is the height above ground in meters, and t t is the time in minutes.\newlineFind the following. If necessary, round to the nearest hundredth.\newlineFrequency of h h : □ \square revolutions per minute\newlineMaximum height above the ground: □ \square meters\newlineTime for one complete revolution: □ \square minutes\newlineExplanation\newlineCheck\newline(C) 20242024 McGraw Hill LLC. All Rights Reserved. Terms of Use\newlinePrivacy Center\newlineAccessibility\newlineType here to search
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Import favorites\newlineMVNU Students Ho...\newlineA\newlineALEKS - Jameson C...\newlineTrigonometric Graphs\newlineWord problem involving a sine or cosine function: Problem type 11\newlineJameson\newlineEspañol\newlineAn object moves in simple harmonic motion with amplitude 8 m 8 \mathrm{~m} and period 22 minutes. At time t=0 t=0 minutes, its displacement d d from rest is −8 m -8 \mathrm{~m} , and initially it moves in a positive direction.\newlineGive the equation modeling the displacement d d as a function of time t t .\newlined= d= \newline□ \square \newline□ \square \newlineExplanation\newlineCheck\newline(C) 20242024 McGraw Hill LLC. All Rights Reserved.\newlineTerms of Use\newlinePrivacy Center\newlineAccessibility\newlineType here to search\newline59∘F 59^{\circ} \mathrm{F} \newline(11))\newline22:1616 PM\newline4/22/2024 4 / 22 / 2024
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Import favorites\newlineMVNU Students Ho...\newlineA\newlineALEKS - Jameson C...\newlineTrigonometric Graphs\newlineWord problem involving a sine or cosine function: Problem type 11\newlineJameson\newlineEspañol\newlineAn object moves in simple harmonic motion with amplitude 13 cm 13 \mathrm{~cm} and period 00.2525 seconds. At time t=0 t=0 seconds, its displacement d d from rest is 0 cm 0 \mathrm{~cm} , and initially it moves in a positive direction.\newlineGive the equation modeling the displacement d d as a function of time t t .\newlined= d= \newline□ \square \newline□ \square \newlineExplanation\newlineCheck\newline(C) 20242024 McGraw Hill LLC. All Rights Reserved.\newlineTerms of Use\newlinePrivacy Center\newlineAccessibility\newlineType here to search\newline59∘F 59^{\circ} \mathrm{F} \newline(11))\newline22:1111 PM\newline4/22/2024 4 / 22 / 2024
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Lesson 66 Exam\newlineExam\newlineassignments.pennfoster.com/Exams/Random?qNo=050050KkrJM22Vw\%33D\newlineExam Lesson Name: General Review\newlineExam number: 700489RR 700489 \mathrm{RR} \newlineExam Guidelines\newlineExam Instructions\newlineQuestion 22 of 2020 :\newlineSelect the best answer for the question.\newline22. Which of the following shows 27/54 27 / 54 written in prime factored form to help in reducing the fraction to simplest form?\newlineA. 9×3/9×6 { }^{9 \times 3 / 9 \times 6} \newlineB. 3×3×3/3×3×3×2 3 \times 3 \times 3 / 3 \times 3 \times 3 \times 2 \newlineC. 1/2 1 / 2 \newlineD. 27×1/27×2 { }^{27 \times 1 / 27 \times 2} \newlineMark for review (Will be highlighted on the review page)\newline« Previous Question\newlineNext Question ≫: \gg:
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savvasrealize.com/dashboard/classes/6464d11ead8047340980473409defe33dee00/details/assignments/88c0402504025a5151c6464e438438afc4040c963963d6767ba66/revi\newlineADE 66 MATH−03-03−04-04−20-20\newlineMathXL Practice Problem (volume)\newlineit 11 of 22\newlineThink About the Process A right rectangular prism has length 212 2 \frac{1}{2} yd, width 112yd 1 \frac{1}{2} \mathrm{yd} , and height 312yd 3 \frac{1}{2} \mathrm{yd} . You use cubes with fractional edge length 12 \frac{1}{2} each of the length, width, and height of the prism? Find the volume.\newlineHow many cubes are there for each of the length, width, and height of the prism?\newlineThe length has □ \square cubes, the width has □ \square cubes, and the height has □ \square cubes.\newlineHelp me solve this\newlineView an example\newlineGet more help
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On day 11 , Jane invites 55 friends to her party. She asks each of those friends to visit and invite 44 of their friends the next day, and to have each of their friends visit and invite 44 of their friends the day after, and so on. Let P P be the number of people who are invited to Jane's party on day t t . Assume that no person is invited more than once. Which of the following best explains the relationship between t t and P P ?\newlineChoose 11 answer:\newline(A) The relationship is linear because all of the values of P P are multiples of 1010 .\newline(B) The relationship is exponential because P P increases by a factor of 44 each time t t increases by 11 .\newline(C) The relationship is exponential because P P increases by a factor of 55 each time t t increases by 11 .\newline(D) The relationship is linear because P P increases by a factor of 55 as t t changes from 11 to 22 .
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