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1.The length of a rectangular field is twice its breadth. Area of the field is 72 sq. m. FInd the ...

th and breadth of the field.

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2. a rectangle has a length of 27 meters less than 8 times its width. if the area of the rectnagle ...

405 square meters, find the length of the rectangle.

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tline should provide a very brief overview of what you think you will do in the Policy Brief.
The Annotated Bibliography requires you to summarize at least three peer-reviewed scholarly
sources you will cite in the Policy Brief.
This assignment is designed to get you thinking about your topic in a way that clearly anticipates
the writing you will do for the Policy Brief. We want you to brainstorm and do a bit of research
well in advance of the deadline for the Policy Brief and, most importantly, we want you to put
your ideas down on paper so that we can give you feedback before writing the actual Policy
Brief. In other words, we are asking you to submit an Outline and Annotated Bibliography so
that we can help you write the best Policy Brief possible.
Your Outline should be divided into the following five sections and should be written in
complete sentences:
I. Audience: Identify the audience you are addressing and consider what that audience
is interested in. Who are you talking to in the Policy Brief and what does this suggest
about the approach you should take? (75-100 words).
II. Problem: State how you know the issue exists. What is the proof that students need
to improve this skill? (125-150 words).
III. Importance of Problem: Indicate why this problem matters. What are the
consequences of the problem not being addressed? Why do students need to improve
this skill? (100 words)
IV. Solution: Identify your preferred solution. What solution will work in your context
and why? (75-100 words)
V. Alternative Solution: Identify at least one other possible solution. What other
solutions did you consider? (75-100 words)
The total length of the Outline should be between 450 and 550 words.
When you submit your Outline, you must also include an Annotated Bibliography. An Annotated
Bibliography is an alphabetical list of research sources that provides bibliographical data (the
title, author, date, publisher, etc.) and a short summary or annotation of the source.
Your Annotated Bibliography should contain a minimum of three scholarly or peer-reviewed
sources, each with an accompanying annotation that is between 150 and 250 words long. The
annotations must summarize the research question or thesis, research methodology, results, and
conclusion. Annotations must include summaries and paraphrased information, NOT quotations.
A good annotation will include two separate paragraphs: 1) a paragraph summarizing the
research question or thesis, research methodology, results and conclusion; and 2) a paragraph
commenting on why this source is relevant for your research.

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4.1) A 2m tall man is admiring a bird that is sitting on top of a tree. He stands 14m ...

rd seeds 10m behind the man on the ground
(a) Explain why triangle LMN is similar to triangle OPN
(b) calculate the length of LM, which represents the height of the tree.

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di P.
Diagram 2 shows sector OPQ with centre O and sector PXY with centre P .
Diberi bahawa OQ = 20 cm, PY = 8cm, ∠ XPY = 1.1 radian
dan panjang lengkok PQ =14 cm. Hitung
Given that OQ = 20 cm , PY = 8 cm , ∠ XPY = 1.1 radians
and the length of arc
PQ = 14 cm. Calculate
(a) nilai θ dalam radian,
the value of θ, in radian

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measures 16 m, find the length of side c

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your knowledge and understanding of significant concepts in Biology and Chemistry. Describe the relationship of some or all of the significant concepts that you identify through the use of a specific example.
General Format of the Presentation:
Twelve Slides (Minimum).
Two Appropriate and Interesting Videos - length of the video must be reasonable and content must be focused.
Three interactive links must be included.
Appropriate and well-placed pictures and illustrations.
1 - 2 uses of audio recordings - i.e. you describing knowledge that contributes to your
Presentation.
Minimal use of text alone.
Multimedia used to convey knowledge and understanding on each slide.
Content:
3 Big Ideas in Biology - *must include the basic unit of life, the Cell, and why it is important to the structure, function, and evolution of life on Earth.
3 Big Ideas in Chemistry - *must include the basic unit of matter, the Atom, and why it is
important to the structure, function, and evolution of life on Earth.
Specific Example: Pick Your Own Example that combines some or all of your big ideas from Biology and Chemistry and describe how those big ideas affect the structure, function, and evolution of your example.
Example 1: The Ocean
Think of the ocean as a biome made up of non-living and living things.
How do your big ideas in biology and chemistry relate to the structure, function, and evolution of the oceans?
Include descriptions (examples) of the relationship between the non-living (chemistry) and living (biology) things in oceans.
Example 2: A Bear
Think of a bear as a living organism that is made up of and relies upon non-living (chemistry) and living (biology) things.
What is the bear made up of? Cells that form ________ that form _________ that form _________ that form the bear.
What does a bear eat? What nutrients does a bear get from the specific foods that it eats?
How do these nutrients (chemical elements of a bear’s diet) contribute to the growth, function, and structure of the bear?
**You may use one of the examples provided or pick your own.
Steps:
Step 1: Identify 3 big ideas in Biology ( 1 idea must be the Cell, basic unit of life)
Step 2: Identify 3 big ideas in Chemistry (1 idea must be the Atom, basic unit of matter)
Step 3: Choose your specific example.
Step 4: Slide 1 - Project Title Slide.
Step 5: Slides 2 - 11 (minimum) - Body of Project.
Step 6: Slide 12 - Conclusion.
Step 7: Turn in your presentation for my revisions.
Step 8: Revise.
Step 9: Turn in your final research project presentation for grading.

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9.A completely sealed container, in the shape of a cube with side panels of length = 0.71 m, is full ...

f carbonic ice at temperature -109.5 °C and placed in a room where the ambient temperature is 28.7 °C. The thickness of each (identical) panel of the container is 2.2 cm. In 1.2 day(s), an amount of 3073661 J of heat is conducted through the panels. Find the thermal conductivity of the material which the panels are made of

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10.A completely sealed container, in the shape of a cube with side panels of length = 0.71 m, is full ...

f carbonic ice at temperature -109.5 °C and placed in a room where the ambient temperature is 28.7 °C. The thickness of each (identical) panel of the container is 2.2 cm. In 1.2 day(s), an amount of 3073661 J of heat is conducted through the panels. Find the thermal conductivity of the material which the panels are made of.

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11.A mass of 250 g is hung on a spring. This causes the length of the spring to increase from ...

135 mm.
What is the frequency of the subsequent vibrations, in Hz?

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12.A rock is thrown from a cliff. Its path may be modeled by the function h(t) = -2t^2 +6t ...

is measured in seconds and height is measured in metres. Answer each of the following algebraically.
at what time does the rock hit the ground?
for what length of time is the rock above a height of 8 metres?

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13.A diving board of neglible mass and length 3.0m is hinged at its left end and rests on top of ...

ort a distance d= 0.4 m away from the left end. A person of mass 61 kg stands at rest at the right end. What is the magnitude of the force provided by the hinge?

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14.A uniform horizontal beam of length 1.4 m and weight 64 N is attached to a wall by a hinge ...

ft end and by a cable which makes an angle of θ= 18 ∘ with respect to the beam at its right end. A sign of weight 40 N hangs from the right end of the beam. How large is the tension force in the cable?

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ss of the previous inputs. If the lock has buttons representing the digits 0-9 then there are 10000 possible combinations from 0000-9999. In class, we indicated that no less than 10003 digits must be pressed to test every possible four digit sequence.
Is there a sequence of length 10003 that tests all possible combinations. If so, this sequence must be given to me in your write up as well as an explanation on how you came up with this sequence.
If there is no sequence of length 10003 that tests all possible combinations, can you come up a sequence with less than the maximum number (40000) which tests all possibilities? How did you come up with this sequence?

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17.The equation of a helix is x=2 sin 2t, y=2 cos 2t, z=3t. a) Find the arc length s from ...

arbitrary point (2 sin 2t, 2 cos 2t, 3t) on the helix. b) Compute the arc length from (0,2,0) to (0,-2,3π/2) c) Compute the vectors T, N and B at (0,-2,3π/2) d) Compute the curvature at (0,-2,3π/2) e) Find the angle between T and the z-axis at (0,-2,3π/2) to the nearest tenth of a degree.

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18.The equation of a helix is x=2 sin 2t, y=2 cos 2t, z=3t. a) Find the arc length s ...

an arbitrary point (2 sin 2t, 2 cos 2t, 3t) on the helix.
b) Compute the arc length from (0,2,0) to (0,-2,3π/2)
c) Compute the vectors T, N and B at (0,-2,3π/2)
d) Compute the curvature at (0,-2,3π/2)
e) Find the angle between T and the z-axis at (0,-2,3π/2) to the nearest tenth of a degree.

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0.5 kilometers.
a) Draw a figure to represent the above problem. Let l and w represent the length and width of the rectangle, respectively.
b) Write the area A of the rectangular region as a function of I and in meters (not kilometers).
c) Write the area A of the rectangular regional as a function of w and in meters (not kilometers).

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21.A square picture with side length 30 cm is scaled by 60% on a photocopier. The copy is then scaled ...

y 60% again.
A. What is the side length of the second copy of the picture?

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a) A scientific theory must be able to be proven.
b) A scientific theory has been derived from known facts and always applies.
c) A scientific method should give different results depending on who performs the method.
d) Knowledge of our surroundings usually emerges through an interplay between theory and experiment.
2) The sides of a straight block are measured to 3,202 cm; 0.0012 cm and 11.2 cm, respectively. Calculate the volume of the straightening block and enter it with the correct number of value digits.
(2/0/0)
Number of words: 0
3) A 9.2 dm long and evenly thick rod rests on a support. 0.55 dm from one end, a dynamometer is hung so that the rod will hang horizontally. Then the dynamometer shows 4.4 N. How much does the bar weigh?
(1/1/0)
Number of words: 0
4) A bar AB that is homogeneous and evenly thick has a length of 2.70 m and is rotatable about an axis at A. The bar weighs 25 kg and is kept in equilibrium by a force F which has its point of attack in B. is 45 degrees. How big is the force F?
(1/1/0)
Saved!
25 * 9.82 = 245.5 N
Number of words: 6
5) A trolley rolls at a constant speed to the right. On the cart is an upward cannon that suddenly shoots a bullet. The carriage continues to the right with the same speed as before. Where does the bullet end up when it falls? For a detailed reasoning.
(1/1/1)
Number of words: 0
6) A river is 200 m wide. The water in the river flows at a speed of 2.5 m / s. A motorboat steers across the river at its maximum speed, which in stagnant water is 5.0 m / s. The boat is constantly heading perpendicular to the banks of the river. Where does the motorboat land on the other shore?
(2/0/0)
Number of words: 0
7) A ball with a mass of 2.0 hg moves at a constant speed in a circular path. The radius of the track is 1.5 m and it takes the ball 3.0 seconds to move one turn. How big is the centripetal force?
(1/1/0)
Number of words: 0
8) A bullet moves at a constant speed. Can we then safely say that the resultant of the forces acting on the bullet is zero? Motivate and discuss your answer.
(0/1/1)
Number of words: 0
9) A conductor is located between the poles of a permanent magnet. The current in the conductor goes in the direction of the plane of the paper (away from the reader). How is the force acting on the leader directed?
(1/0/0)
a) To the right of the figure
b) To the left in the figure
c) Downwards in the figure
d) Upwards in the figure
10) Protons enter horizontally from the left between two large metal plates at a speed v = 0.80 Mm / s. The plates are connected to a voltage source with the pole voltage U. Between the plates there is a homogeneous magnetic field with a flux density of 38 mT directed perpendicular to the plane of the paper. The distance between the plates is 1.5 cm. They want the protons to continue with unchanged direction and speed between the plates. Which of the plates should be connected to the positive pole of the voltage source and how large should the voltage U be?
(0/2/0)
Number of words: 0
11) The magnetic flux Φ through a 700-speed coil decreases linearly with time according to the diagram below. Calculate the voltage across the coil at time t = 1.0 ms.
12) The current in a coil with an inductance of 35 mH has a growth rate of 6.2 A / s at a given moment. What is the instantaneous value of the ems induced in the coil?

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but outside the triangle as a function of of the length 3x of the side of the triangle

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24.The diagonal of a rectangular rug is the square root of 117ft. The area of a rug is 54ft^2. Find ...

length and the width of the rug.

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bacteria). Obligatory anaerobes require absence of oxygen.
You are researching how a facultative anaerobe transitions from anaerobic to aerobic respiration along the length of the human intestine (small and large intestine), where oxygen levels – and with them respiration - vary from atmospheric levels of oxygen (aerobic respiration) to no oxygen (anaerobic respiration).
You grow cultures of a facultative anaerobic bacteria in flasks with different levels of oxygen that mimic the conditions in the 7.5m long human intestines and collect data on the growth rates of the bacteria (number of bacterial colonies) under the different conditions. Time food spends in the small intestine, 2.5m long, is 4 hrs. The time taken for food to pass through the entire length of the intestine is between 24 and 72 hrs.
To determine oxygen levels in your flasks, you use the ratio of oxygen to nitrogen, which you vary between 0 (no oxygen) and 0.25 (atmospheric levels of oxygen). You assume that for conditions where r<0.01 your bacteria will be obligatorily anaerobic, and aerobic respiration will be observed from r=0.05.
If the oxygen ratio goes from 0.25 to 0 over 7.5 m, and rO2 = 0.25 – 0.03x (x=distance along the intestine) describes the relationship between oxygen ration and the length of path travelled by the bacteria in the intestine, how long will it take bacteria to pass from the small into the large intestine? Explain how you arrived at your estimate.

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26.what is the length of each side, to the nearest tenth, of the biggest square that could fit inside a ...

circle with diameter 15 inches

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27.An apple tree is 400 cm tall and has a shadow length of 500 cm. Standing nearby is Jon, ...

w is 200 cm long. How tall is Jon? Hint: You might want to draw the triangles.

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28.A rectangle has a perimeter of 24 inches with a length of 5 inches and a width of the ...

f x+3 inches solve for x

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terms of a and b.
(ii) Explain why a ≠ -3/4b '
(
b) A cylinder has a length equal to 3 times its diameter. Find the total area of the
cylinder as a function of its radius.

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30.an object is casting a shadow on the ground if an object is 49ft shorter than length of the shadow ...

n the ground and the tip of the shadow is 119ft from the top of the object. How tall is that object

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31.Three wires having a length of 6cm, 15 cm and 24cm have to be cut into small equal parts. ...

ld be the length of the small parts of each wire?

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32.Three wires having a length of 6cm, 15 cm and can have to be cut into small equal parts. What ...

be the length of the small parts of each wire?

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. A person of mass 50 kg is hanging from the board. When the board and person are accelerating downward at 1.0 m/s2, the tension in the right chain is 250 N. What is the tension in the left chain?

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s 1600 cubic inches. The height of the box is 8 inches and the length of the box is 2 times longer than the width of the box. What is the width of the box?

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35.A sphere of mass M = 20kg and radius R = 10cm has its mass distributed in a way where ...

mediately guess it’s moment of inertia. To investigate whether it behaves more like a solid sphere or hollow sphere, you roll it down a rough ramp inclined at an angle of 30° with respect to the horizontal. The sphere rolls without slipping and you measure the velocity of the center of mass to be 3 m/s as it leaves the bottom of the ramp. The ramp’s length is 2 m and you release the sphere from the top of the ramp, a height of 1 m.
a) What is the moment of inertia of the sphere?
b) What is the angular speed of the sphere as it reaches the bottom of the ramp?
c) What is the frictional force on the sphere?

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time a bag of chips remains fresh on the grocery shelf. A random sample of potato chips with the old design of the bag was compared to a random sample of potato chips with the new bag. Summary statistics pertaining to the number of days the chips remained fresh are given below. At a 95% level of confidence (α = .05), the company wishes to investigate if the new bag has an increased freshness time over the old bag.
Summary Statistics
New Bag Old Bag
(Sample #1) (Sample #2)
Sample Mean 21.2 days 20.8 days
Sample Standard Deviation 2.5 days 2.8 days
Sample Size 45 50
What is the correct Null and Alternate Hypothesis?
Select one:
a. H_0: \mu_d>0\;\; H_1: \mu_d < 0
b. H_0: \mu_1>\mu_2 \;\;H_1:\mu_1 \leq \mu_2
c. H_0: \mu_d =0\;\; H_1: \mu_d < 0
d. H_0: \mu_1\leq\mu_2 \;\;H_1:\mu_1 > \mu_2

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the context of this question.
What length results in the greatest possible area? What is this area?

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consulting basis by Loving Organic Foods. In order to get a better idea of what might have motivated customers’ buying habits you are asked to analyze the ages of the customers who have purchased organic foods over the past 3 months. Past research done by the Diligent Consulting Group has shown that different age groups buy certain products for different reasons. Loving Organic Foods has sent a survey to 200 customers who have previously purchased organic foods, and 124 customers have responded. The survey includes age data of past customers who purchased organic foods in the previous quarter.
Case Assignment
Using Excel, create a frequency distribution (histogram) of the age data that was captured from the survey. You should consider the width of the age categories (e.g., 5 years, 10 years, or other). That is, which age category grouping provides the most useful information? Once you have created this histogram, determine the mean, median, and mode.
After you have reviewed the data, write a report to your boss that briefly describes the results that you obtained. Make a recommendation on how this data might be used for marketing purposes. Be sure to conduct adequate research on organic foods industry, organic market analysis, and healthy food industry using IBISWorld database or other databases such as Business Source Complete (EBSCO) and Business Source Complete - Business Searching Interface in our online library. Provide a brief description on the industry background and the consumer changing attitudes and behavior toward healthy lifestyles. Also identify the customer demographics of organic food industry and explain how the customers of Loving Organic Foods are different from this target market.
Data: Download the Excel-based data file with the age data of the 124 customers: Data chart for BUS520 Module 1 Case. Use these data in Excel to create your histogram.
Assignment Expectations
Excel Analysis
Complete analysis in Excel using the Histogram function. Please watch the following video which covers how to create a histogram in Excel: https://www.youtube.com/watch?v=GL91GrVf3EY
If you are not so familiar with Excel, refer to the following link on Excel training videos: https://support.office.com/en-us/article/Excel-training-9bc05390-e94c-46af-a5b3-d7c22f6990bb?ui=en-US&rs=en-US&ad=US
Check the professional market research reports from the IBISWorld database to conduct the industry analysis. IBISWorld can be accessed in the Trident Online Library.
IBISWorld Overview (n.d.). IBISWorld, Inc., New York, NY.
IBISWorld Forecast (n.d.). IBISWorld, Inc., New York, NY.
IBISWorld Data and Sources (n.d.). IBISWorld, Inc., New York, NY.
IBISWorld Navigation Tips (n.d.). IBISWorld, Inc., New York, NY.
Written Report
Length requirements: 4–5 pages minimum (not including Cover and Reference pages). NOTE: You must submit 4–5 pages of written discussion and analysis. This means that you should avoid use of tables and charts as “space fillers.”
Provide a brief introduction to/background of the problem.
Provide a brief description of organic food industry and target market characteristics such as their demographics, lifestyles and shopping behaviors.
Provide a written analysis that supports your Histogram age groups (bins).
Based on your analysis of the histogram data, provide complete and meaningful recommendations as the data relates to Loving Organic Foods’s marketing strategy.
Write clearly, simply, and logically. Use double-spaced, black Verdana or Times Roman font in 12 pt. type size.
Have an introduction at the beginning to introduce the topics and use keywords as headings to organize the report.
Avoid redundancy and general statements such as "All organizations exist to make a profit." Make every sentence count.
Paraphrase the facts using your own words and ideas, employing quotes sparingly. Quotes, if absolutely necessary, should rarely exceed five words.
Upload both your written report and Excel file to the case 1 Dropbox.

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angles, labelling the length and width of each.

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40.A triangular garden is created along a fence. Two sides of the garden are 7 m and 5 m. there ...

degree angle opposite the 5m side length. Determine the length of the garden along the fence.

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im joists (joist headers).
b. Determine the number of 4-foot by 8-foot sheets of OSB sheathing required to clad the floor shown in the previous question.

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with a mean life of 3000 hours and a standard deviation of 400 hours.
What is the probability that a randomly selected light bulb last for more than 4000 hours?

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x+1, determine the numerical length of \overline{MO}.
MO

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44. A rectangular field has an area of 60 square feet. Its length and width are whole numbers of ...

List ALL the possible combinations of length and width in a table.
You want to enclose the field for a dog pen. You have only enough money to buy 50
feet or less of fencing. Complete your table with this information.
Which possibility (or possibilities) of length and width will
fit your budget?

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ion between curves , length of curves , physical application

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52 Hz is placed near one of the open ends. A tuning fork of frequency 644 Hz produces the next highest harmonic for this tube. What is the length of the open tube? Assume room temperature.
(A) 0.46 m
(B) 0.92 m
(C) 1.59 nm
(D) 1.85 m
(E) 3.70 m

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etween. *
A
B
D
3. Which shows the following numbers in order from least to greatest? *
B
C
D
4. Which is the best name for this group of numbers? *
A
B
D
5. Which point on the number line best represents √3? *
A
B
C
For question 6 and 7, write each number in either scientific notation or standard notation. 6. The diameter of Mercury is 4879 kilometers. *
7. The diameter of a bacterial cell called a mycoplasma is about 2 x 10-7 meter. *
8. In which group are the numbers in order from greatest to least? *
B
C
D
9. Greg found the length of a hypotenuse of a right triangle to be √90 feet. Between which two integers does √90 lie? *
A
B
C
10. Which is the best name for this group of numbers? *
A
C
D
11. The water levels of five Texas lakes were measured on the same day in 2010. The table below shows the number of feet above or below normal level for each lake. Which list shows the numbers in the table from greatest to least? *
B
C
D
12. Which numbers from this list are less than -0.94? *
B
C
D
13. The length of a micrometer is approximately 0.00003937 inch. How would you express this in scientific notation? *
A
B
C
14. The National Park Service manages approximately 84,000,000 acres of federal land. How would you express this number using scientific notation? *
B
C
D
15. Seismosaurus is the longest known dinosaur. It measured 1800 inches. How far would 3000 Seismosaurus dinosaurs span if they were placed head to tail? Write your answer in scientific notation. *

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ches, what is the width, length and area of the rectangle?

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49.The length of a rectangle is 8 cm longer than twice the width. If the perimeter is 34 cm, ...

dimensions of the rectangle.

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ution with a mean of 267 days and a standard deviation of 9 days.
(a) What is the minimum pregnancy length that can be in the top 8% of pregnancy lengths?
(b) What is the maximum pregnancy length that can be in the bottom 6% of pregnancy lengths?

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51.In the given figure, BC is parallel to DE. Area of triangle ABC = 25 cm2, Area of trapezium BCED ...

4 cm2 and DE = 14 cm. Calculate the length of BC. Also, find the area of triangle BCD.

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52.In the figure, BC is parallel to DE. Area of triangle ABC = 25 cm2, Area of trapezium BCED = ...

and DE = 14 cm. Calculate the length of BC. Also, find the area of triangle BCD.

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53.robert has 18 m of fence and wants to build the largest possible enclosed area for his dog. He will ...

only need to fence three sides because the last side is adjacent to his house. Determine the length and width that would give a maximum area for his dog

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5ft and the length of 27ft what would be the height if it stood up?

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e and of the central height.

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width is decreased by 2, the
result is a rectangle whose area is 8 sq. units more than the area of the original
rectangle. Find the dimensions of the
original rectangle.

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ose
the breaking point is uniformly distributed on the chalk. Let X denote the length of the shorter piece and
R the ratio of the lengths of the shorter to the longer piece. Then X has uniform distribution on [0; 1
2 ].
(a) (6pts) Find the probability density function of R.
(b) (8pts) Find the mean and variance of R.

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60.I have a daubt That is " in a triangle DEF PQ is a line segment drawn through midpoint of ...

respectively. if EF is equal to 7.6 cm find the length of PQ

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vertical strut extending from the lower arch to the roadway (as shown in the image). Here the lower arch is 80m above sea level and the upper arch is 49m above the roadway. At the vertices, the lower arch is 118m above sea level and the upper arch is 73m above the roadway.
Find the quadratic equations which describe the parabolas of the lower arch in:
vertex form, y=a(x-h)^2+k;
intercept form, y=a(x-α)(x-β)
general form, y=ax^2+bx+c
The lower arch intersects the roadway 181.5m from the vertex. Calculate how much higher is the upper arch than the lower at the middle of the bridge?
Using technology, determine the total length of all 19 pairs of equally-spaced, vertical struts between the lower arch and the roadway.

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the size of angle A is 65.7°. Write your answer correct to three significant figures.

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decimal. Round your final answer to the nearest hundredth.

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64.The width of a rectangle is 4 feet shorter than two times its length, and its area is 30 . If you ...

If you use
L
to represent the length of the rectangle, then an expression representing the width is
W
=
The length of the rectangle is
feet and the width is
feet.

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't change, but throughout the night the height of the mattress is decreasing. The rate at which it decreases varies over time: at the beginning it is just shrinking a tiny bit, but after a while it starts shrinking faster. If the height of the of the mattress follows the formula h=18-0.2x^2, where h is the height in inches and x is the time in hours, and the length of the mattress is always 74 inches, and the width of the air mattress is always 54 inches, please find the rate at which the VOLUME of the air mattress is changing after 2 hours. V ' =
cubic inches per hour after 2 hours. (Round to one decimal place, but take a picture of your work and send it to me if you're worried your answer might be slightly off.)

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66.Determine the radius of an entire circle if you know that the arc length is 18 cm and the angle ...

hat circle sector is 13 degrees (so convert to radians if necessary).

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s $8 per foot, but she wants the fourth side, closest to the road, to be chain link, which is $20 per foot.
If she wants the fenced in area to be 1160 square feet, find the dimensions that will minimize her cost. What is that minimum cost? (So there are three parts to your answer: length of the rectangle, width of the rectangle, and total cost.)
SHOW WORK.

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of the hypotenuse and the altitude to the hypotenuse.

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onal radius of r = 0.010 m is used to connect two objects.
(a) What is the cross-sectional area of the wire?

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owever, he wants to make a scale drawing showing where he wants each vegetable and fruit to go. So far, he has drawn the perimeter of his garden. The actual length of the vertical and horizontal legs of his triangular garden is 3 meters.
After making his drawing, he decides that his scale is way too small. Instead, he wants the vertical and horizontal legs of the triangle on his drawing to be 18 centimeters. Make a new scale drawing with the new dimensions of the scale drawing. Make sure to label all three sides of the garden and include the new scale.hoa is planting a garden in the corner of his yard. Before he does any planting, however, he wants to make a scale drawing showing where he wants each vegetable and fruit to go. So far, he has drawn the perimeter of his garden. The actual length of the vertical and horizontal legs of his triangular garden is 3 meters.

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t one type of ball has a radius of
2.4
cm
. The length and width of the box's square base are both twice the radius, and the balls are packaged four to a box, so that the height is eight times the radius. Find the percentage of the box that is filled. Round your percentage to the nearest hundredth. Also round all intermediate calculations to four decimal places.
The percentage of the box that is filled, to the nearest hundredth, is
%

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width is most conducive to studying.
Determine a model for the area of such a dorm room as a function of
its width. (Don’t forget to see if you need an explicit domain.

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and pieces are discarded. When the cardboard is folded, it becomes a rectangular box with a lid. The pattern for the rectangular box with a lid is shaded in the figure. Four squares with side length
x
x
and two rectangular regions are discarded from the cardboard. Which of the following statements is true? (The volume
V
V
of a rectangular box is given by
V=lwh
V=lwh
.)

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75.The length and width of a box varies indirectly to each other. If the length is 8 inches the width ...

s 75 inches. If the length is 20 inches, the width is 30 inches. Write an equation to relate the length and width of the box in this situation.

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cks planet. Life hasn't evolved yet on this planet, so you're faced with rocky ground and no vegetation, but there is water. You have 500 cobs of corn and a chicken. What do you do to survive for the greatest length of time?

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77.You have 100 feet of fencing to enclose a rectangular yard and plan to use part of a 250-ft straight ...

wall as one
side of the rectangle. Let x represent the length of wall you will use.
A)a. Write an equation for the area A of the rectangular yard (in terms of x).
B)What is the domain of A as a function of x? Explain.
C)c. What is the range of A? Explain.

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by a line 1 and one fifth
inches long on the blueprint.

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to the bases
b. has a length equal to the average of the base lengths

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81.Kyle is working on a glass mosaic in art class and is only using rectangular pieces in the project. ...

For each piece of glass, Kyle wants the width to length ratio to be 114 inches : 212 inches. Calculate the unit rate of the pieces and use that information to determine which of the following statements are true. Select TWO that apply.
Kyle has a piece of glass that has a length of 412 inches. In order to fit in his mosaic, it must have a width of 9 inches.
Kyle has a piece of glass with a width of 312 inches. Since it has a length of 6 inches, Kyle did not use it in his mosaic.
Kyle wants the total length of his mosaic to be 2 feet. This will make the width of his mosaic 1 foot.
Kyle has one piece in the mosaic with the dimensions of 134 inches long by 312 inches wide.

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izontal. Its upper
end is connected to a wall by
a rope, and its lower end rests
on a rough, horizontal sur-
face. The coefficient of static
friction between the beam
and surface is ms. Assume
the angle u is such that the static friction force is at its
maximum value. (a) Draw a force diagram for the beam.
(b) Using the condition of rotational equilibrium,
find an expression for the tension T in the rope in
terms of m, g, and u. (c) Using the condition of trans-
lational equilibrium, find a second expression for T in
terms of ms, m, and g. (d) Using the results from parts
(a) through (c), obtain an expression for ms
L
u
Figure P12.16
Q/C
S
vertical component of this force. Now solve the same
problem from the force diagram from part (a) by com-
puting torques around the junction between the cable
and the beam at the right-hand end of the beam. Find
(e) the vertical component of the force exerted by the
pole on the beam, (f) the tension in the cable, and
(g) the horizontal component of the force exerted
by the pole on the beam. (h) Compare the solution
to parts (b) through (d) with the solution to parts
(e) through (g). Is either solution more accurate?
19. Sir Lost-a-Lot dons his armor and sets out from the
castle on his trusty steed (Fig. P12.19). Usually, the
drawbridge is lowered to a horizontal position so that
the end of the bridge rests on the stone ledge. Unfor-
tunately, Lost-a-Lot’s
squire didn’t lower the draw-
involv-
ing only the angle u. (e) What happens if the ladder
is lifted upward and its base is placed back on the
ground slightly to the left of its position in Figure
P12.16? Explain.

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83.Jose painted a square shaped painting the length of each side of the canvas is 1 1/3 yards what is ...

he area of the painting in square yard

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84.Jose painted a square shaped painting the length of each side of the canvas is 1 1/3 yards what is ...

he area of the painting in square yards

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e investigations we determined that the program input size can be varied in a wide range and for N-bit input the program result is also always N – Bit long. Additionally we found that the program working time depends significantly on input length N, especially when N is greather than 10- 15 . Our test also revealed, that the program working time depends only on input length ,not the input itself.
During our tests, we fixed the following working times (with an accuracy of one hundredth of a second)
N = 2 – 16.38 seconds
N = 5 – 16.38 seconds
N = 10 – 16.44 seconds
N = 15 – 18.39 seconds
N = 20 – 1 minute 4.22 seconds
We also planned to test the program for N = 25 and N = 30, but for both cases the program didn’t finish within half and hour was forced to terminate it. Finally, we decided for N = 30 to not terminate the program,but to wait a little bit longer.The result was 18 hours 16 minutes 14.62 seconds . We repeated the test for N = 30 and it gave us exactly the same result, more than 18 hours.
Tasks:
a) Find the program working times for the following three cases N = 25, N = 40 and N = 50.
b) Explain your result and solution process.

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86.Christian's art project has a length of 8 feet and an area of 32 feet. He decides to reduce ...

e of his project to 5 feet long by 3 feet wide. By how much did the perimeter of Christian's art project reduce?

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87.Christian's art project has a length of 8 feet and an area of 32 feet. He decides to reduce ...

e of his project to 5 feet long by 3 feet wide. By how much did the perimeer of Christian's art project reduce?

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(x-10), express the length of the rectangle as a binomial

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t equations). My goal is to calculate the increase in temperature of a copper wire of a given cross section and a given length when a given current is run through it.
I need not to refer to "tables". I really need to get all the formulas, properly written and explained.
Need help immediately.

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ter of the rectangle

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92.You design a triangular garden for a park. One side of the garden has a length 60 m and another ...

has length 80 m. This graph shows how the area of the garden is related to the length of the third side.
a) Describe the relation ship between the length of the third side and the area of the garden
b) How could you use the graph to decide what the length of the third side should be in each situation
bb) you want the area of the garden to be 1500 metersquare
bbb) you want the garden to have the maximum possible area

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d 5 cm wide. The area of the rectangle is 15cm squared. What is the height of the rectangle?
The second question is on another rectangle, the height is a and the width is 3a. The perimeter is 24cm. What is the length of the shortest side.
PLEASE HELP

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94. Value: 1 equation image indicator a. (x - 2)2(x - 3)2 b. (x2+ 4)(x2+ 9) c. (x - 2)(x + ...

2)(x - 3)(x + 3)
d. (x2 - 4)(x2+ 9)
Value: 1
The table below shows the cost of purchasing a standard stapler at five office supply stores, A through E. If the median cost of purchasing a standard stapler for these stores was $17.99, which of the following could NOT have been the cost of the stapler for Store A?
staplergraph.jpg
a. $19.95
b. $18.95
c. $16.95
d. $19.25
Value: 1
If equation image indicator then x =
a. 7
b. 1/5
c. 5
d. 1/7
Value: 1
A six−sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of tossing a number less than three?
a. 1/3
b. 0
c. 1/2
d. 1/4
Value: 1
If 6m + 4 = 8m, then 4m =
a. 6
b. 2
c. 8
d. 4
Value: 1
In the xy-plane, what is the y-intercept of the graph of the equation equation image indicator?
a. 2
b. 4
c. 16
d. There is no y-intercept.
Value: 1
Which of the following equations has both 2 and −4 as solutions?
a. x2 + 6x + 8 = 0
b. x2 - 2x - 8 = 0
c. x2 + 2x - 8 = 0
d. x2 - 2x + 8 = 0
Value: 1
The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure?
a. 22
b. 28
c. 35
d. 40
Value: 1
(3x-2y4)-3 =
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
A softball is tossed into the air upward from a first floor balcony. The distance of the ball above the ground at any time is given by the function, distance function.png, where h(t) is the height of the softball above the ground (in feet) and t is the time (in seconds). What was the maximum height, in feet, of the softball above the ground after it was thrown?
a. 28
b. 30
c. 32
d. 34
Value: 1
A group of 100 people, some students and some faculty, attended a museum opening. Each student paid $10 per person for entrance to the museum and each of the faculty paid $25 per person for entrance. If the total paid, for all 100 people, was $1300, how many students attended the museum opening?
a. 20
b. 50
c. 70
d. 80
Value: 1
The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?
a. 21
b. 15
c. 19
d. 9
Value: 1
In the xy−coordinate plane shown below, point P has coordinates (8, −6). Which of the following is an equation of the line that contains points O and P?
O and P graph.jpg
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
a. 54
b. 6
c. 2/3
d. 3/2
Value: 1
A farmer has 1235 trees to be planted on a rectangular parcel of land. If there are 24 trees planted in each row and each row must be complete before it is planted, how many trees will be left over after planting?
a. 21
b. 11
c. 0
d. 55

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95.The propeller of a small plane has an overall length of 2 m. the propeller clears the ground by a ...

stance of 40cm and spins at 1200 revolutions per minute. Model the height of the propeller tips above the ground as a function of time using a sine or cosine function.

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les. Draw a neat diagram and find the distance between the instants when the lighthouse 040° T and 120° T.
HINT: This is NOT a problem to be solved using cosine rule. Since the distance is constant, the ship will travel along the arc. You should therefore use radian measure to workout the distance along the arc. Also remember that all bearings are from seawards .
2, The length of a shadow of a vertical flag mast 2.5 meters high is 5.2 meters (shadow's length). Find the sun's altitude.
3, From a ship, a light on the edge of a breakwater bore 045° T . The ship was steering a course of 060° T. After travelling for 30 minutes, the same light bore 280° T and distance off 2.0 nautical miles. Find the speed of the vessel.

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s 13 ft tall and 40 ft long and her scull has a legth of 5 feet. If the length of the museum scale model scull is 3 feet 3 inches, what is the height and the legth of the museum scale model?
a: in feet?
b: in meters?
(1 foot= 12 inches; 1 meter = 3.23 feet)

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98.Hi! I need help with my Netlogo homework, where I need to have turtles create an image of a tree. ...

sically, Tree 1 is just a vertical line, Tree 2 is that line plus two branches, Tree 3 is Tree 2 but with two additional branches on each of the original ones, and so on. Please help! I don't understand how recursions are supposed to be used with this and how to call a previous tree function. Below are additional instructions my teacher gave me.
draw-tree3 [ levels blen bangle]
levels : number of levels
blen : length of each branch
bangle : angle of the branches
The branch length should decrease as the function calls itself. This does NOT mean you decrease a variable, it means that just like fib(n-1) or fib(n-2) you decrease the parameter as you pass it to the next copy.
----Your slider is the STARTING value, the parameter can be changed every time your function is called.
Have the branch decay by multiplying by 0.85 before passing it to the next recursive call.
-When this works, try making the branch decay a slider from 0.1 to 0.9 in increments of 0.01

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se the scale of 1 inch = 16 inches. He plans to make the actual go-cart 56 inches long.
Which proportion shows the length of the go-cart in the diagram?
Answer Choices
116=x56
1656=x1
x16=156
x56=161

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pled 60 adult sea trout caught by fishermen and measured the length of each in inches, simultaneously recording the Sex of each fish. The sample data is presented in columns A and B below. Be sure to watch all Module tutorial videos before attempting lab.

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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics