Survey of physical Science - Science
1. Compute, in centimeters and in meters, the height of a basketball player who is 6 ft 10 in. tall.
________________ cm
_________________m
2. Compute the density in g/cm3 of a piece of metal that has a mass of 0.490 kg and a volume of 78 cm3.
________________g/cm3
3.Round the following numbers to two significant figures.
(a)
7.01
(b)
0.00100
(c)
9100.
(d)
0.000321
4. Water is sold in one and a half liter bottles.
What is the mass, in kilograms, of the water in such a full bottle?
___________________kg
What is the mass, in grams, of the water in such a full bottle?
____________________g
5. A rectangular container measuring 23 cm ⨯ 38 cm ⨯ 57 cm is filled with water. What is the mass of this volume of water in kilograms and grams?
________________kg
________________g
6.Currently, the tallest building in the world is the Burj Khalifa (with 160 stories) in Dubai, United Arab Emirates, which is 828 m tall. Previously, the tallest was the Taipei 101 skyscraper (with 101 floors) in Taiwan, which is 508 m tall.
Referring to the information above, how much shorter in feet is the Taipei 101 than the Burj Khalifa?
____________________ft
7.Compute the density in g/cm3 of a piece of metal that has a mass of 0.490 kg and a volume of 78 cm3.
_________________g/cm3
8.In the figure below, is the conversion on the sign exact? Justify your answer.
Maximum was Maximum
80 50
km/h M.P.H
THINKmetric
Yes, the unit conversion for 80 km/h is exactly 50 mph.
No, the unit conversion for 80 km/h is close to 50 mph but not exact.
James T. Shipman
Jerry D. Wilson
Charles A. Higgins, Jr.
Omar Torres
© 2016 Cengage Learning
Measurement
Chapter 1
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Description leading to understanding of our environment
Description involves the measurement of the physical world
Understanding our environment demands the interpretation of accurate measurements (i.e., data)
Therefore, understanding measurement is essential
Intro
Science
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Sophisticated methods of measurement have been developed
Measurements – movement, temperature, weather conditions, time, etc.
The constant use of measurements are in this book, including many examples
Can everything be measured with certainty?
As smaller and smaller objects were measured it became apparent that the act of measuring actually distorted the object
Intro
Measurement
*
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Subset of the Natural Sciences, together with Biological Sciences
Physical Sciences: Physics, Chemistry, Geology, Meteorology, and Astronomy
This book covers the fundamentals of each of the five Physical Sciences
Section 1.1
What is Physical Science?
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Section 1.1
The Major Physical Sciences
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Measurements are the basis of scientific research/investigation
Phenomena are observed, resulting in questions of how or why these phenomena occur
Scientists assume that the universe is orderly and can be understood
Section 1.2
Scientific Investigation
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Scientific Method – general methods of observations, rules for reasoning, and making predictions
Can be broken down into:
Observations & Measurements
Hypothesis
Experiments
Theory
Law
Section 1.2
Scientific Method
*
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Quantitative data are gathered
Section 1.2
Observations & Measurements
*
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Hypothesis – a possible explanation for the observations
Example: Matter consists of small particles (atoms) that simply rearrange themselves
A tentative answer or educated guess
New experiments are designed to test the validity of the hypothesis
The Hypothesis is supported if it correctly predicts the experimental results
Section 1.2
Hypothesis
*
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The testing, under controlled conditions, to determine if the results support or confirm the hypothesis
Experimental results can be duplicated by other researchers
No concept or model of nature is valid unless the predictions are in agreement with experimental results.
Section 1.2
Experiments
*
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Theory – tested explanation for a broad segment of basic natural phenomena
Example: Atomic Theory – This theory has withstood testing for 200+ years.
Depending on continued experimentation, theories may be accepted, modified, or rejected
Section 1.2
Theory
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Scientific Law – after a series of experiments a concise statement (words/math) describes a fundamental relationship of nature
Example – Law of Conservation of Mass (no gain or loss during chemical reaction)
The law simply states the finding, but does not explain the behavior
Section 1.2
Scientific Law
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Section 1.2
The Scientific Method
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Sight, hearing, smell, taste, touch
Sight and hearing provide the most information to our brains about our environment
Sensory limitations – can be reduced by using measuring devices
Instruments extend our ability to measure and learn about our environment
Our senses can also be deceived
The Senses
*
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Lines “a” and “b” are equal in length!
Some Optical Illusions
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Optical Illusions
The lines are all horizontal!
*
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Section 1.3
Some Optical Illusions
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Section 1.3
Some Optical Illusions
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Expressed in magnitude and units
Fundamental quantities – length, mass, & time
The study of Force and Motion requires only these three quantities
Standard Unit – fixed and reproducible value to take accurate measurements
Section 1.4
Standard Units
and Systems of Units
*
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Two major systems of units
British (English) system – only used widely in the United States (miles, inches, pounds, seconds, etc.)
Metric system – used throughout most of the world (kilometers, meters, grams, etc.)
The U.S. “officially” adopted the metric system in 1893, but continues to use the British system
Section 1.4
Standard Units and Systems of Units (cont.)
*
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The measurement of space in any direction
Space has three dimensions – length, width, and height
Metric Standard Unit = Meter (m), originally defined as 1/10,000,000 of distance from equator to north pole
British Standard Unit = Foot, originally referenced to the human foot
Section 1.4
Length
*
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Originally defined as
a physical quantity of nature.
1/10,000,000 of the distance from the equator to the pole
Section 1.4
The Meter
*
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The meter is now defined by the distance light travels in a vacuum/time.
The Meter
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The amount of matter an object contains
An object’s mass is always constant
Mass is a fundamental unit that will remain constant throughout the universe
Metric Standard Unit = Kilogram (kg) – originally defined as the amount of water in a 0.1-m cube. Now referenced to a cylinder in Paris
Section 1.4
Mass (metric)
*
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U.S. Prototype #20 Kilogram, at NIST in Washington, D.C. Actually – 0.999 999 961 kg
Section 1.4
Kilogram Standard
*
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British Standard Unit = Slug (rarely used)
We use the Pound (lb)
The pound is actually not a unit of mass, but rather of weight, related to gravitational attraction (depends on where the object is!)
Object: Earth = 1 lb Moon = 1/6 lb
In fact, the weight of an object will vary slightly depending on where it is on Earth (higher altitude less weight)
Section 1.4
Mass (British)
*
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Section 1.4
Mass is a Fundamental Quantity and Remains Constant – Weight Varies
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Time – the continuous, forward flowing of events
Time has only one direction forward
Second (s) – the standard unit in both the metric and British systems
Originally 1/86,400 of a solar day
Now based on the vibration of the Cs133 atom (Atomic Clock)
Section 1.4
Time
*
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Originally defined as a fraction of the average solar day.
Section 1.4
A Second of Time
*
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Defined by the radiation frequency of the Cs133 atom
Section 1.4
A Second of Time
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Uses acronym “mks system” from standard units of length, mass, and time – meter, kilogram, second
It is a decimal (base-10) system – this is much better than the British system
Administered by – Bureau International des Poids et Mesures (BIPM) in Paris
International System of Units (SI)
Contains seven base units
Section 1.4
Metric System
*
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The fundamental units are a choice of seven well-defined units which by convention are regarded as dimensionally independent:
meter, m (length)
kilogram, kg (mass)
second, s (time)
ampere, A (electrical current)
kelvin, K (temperature)
mole, mol (amount of a substance)
candela, cd (luminous intensity)
Section 1.5
Modern Metric System (SI)
*
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Easy expression and conversion
Metric examples vs. British examples
1 kilometer = 1000 meters
1 mile = 5280 feet
1 meter = 100 centimeters
1 yard = 3 feet or 36 inches
1 liter = 1000 milliliters
1 quart = 32 ounces or 2 pints
1 gallon = 128 ounces
Section 1.5
Base-10 Convenient
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Mega (M), 106 1,000,000 times the base
Kilo (k), 103 1,000 times the base
Centi (c), 10–2 1/100th of the base
Milli (m), 10–3 1/1000th of the base
See Appendix 1 for complete listing
Section 1.5
Commonly Used Prefixes
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Liter – volume of liquid in a 0.1-m (10 cm) cube (10 cm×10 cm×10 cm = 1000 cm3)
A liter of pure water has a mass of 1 kg or 1000 grams
Therefore, 1 cubic cm (cc) of water has a mass of 1 gram
By definition 1 liter = 1000 milliliters (ml)
So, 1 ml = 1 cc = 1 g of pure water
1 ml = 1 cc for all liquids, but other liquids do not have a mass of 1 g
Section 1.5
Liter – Nonstandard Metric Unit
*
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A liter is slightly more than a quart.
1 quart = 0.946 liter
1 liter = 1.06 quart
Section 1.5
Liter & Quart
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(1 kg = 2.2046 lb on Earth)
The amount of water in a 0.10-m (10 cm) cube (0.10 m3)
Section 1.5
The Kilogram
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Metric ton – mass of 1 cubic meter (1 m3) of water
1 m = 100 cm
(100 cm)3 = 1,000,000 cm3
Remember that 1000 cm3 = 1 liter
Therefore, there are 1000 liters in 1 m3 of water
Each liter has a mass of 1 kg
1 kg×1000 = 1 metric ton
Section 1.5
Metric Ton
*
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It is difficult to make all measurements with only the 7 fundamental units
Derived units are therefore used, these are multiples/combinations of fundamental units
We’ve already used derived units: Volume length3, m3, cm3
Area length2, m2, ft2, etc.
Speed length/time, m/s, miles/hour, etc.
Section 1.6
Derived Units and Conversion Factors
*
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Density () = mass per unit volume
= m/v [or mass/length3 (since v = length3)]
Measures how “compact” a substance is
Typical units used – g/cm3, kg/m3
Al = 2.7 g/cm3, Fe = 7.8 g/cm3, Au = 19.3 g/cm3
Average for the Earth = 5.5 g/cm3
Section 1.6
Density
*
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Hydrometer – a weighted glass bulb
The higher the hydrometer floats the greater the density of the liquid
Pure water = 1 g/cm3
Seawater = 1.025 g/cm3
Urine = 1.015 to 1.030 g/cm3
Hydrometers are used to ’test’ antifreeze in car radiators – actually measuring the density of the liquid
Section 1.6
Liquid Densities
*
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The denser the liquid the higher the hydrometer floats.
Section 1.5
Measuring Liquid Density
*
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When a combination of units becomes complex and frequently used –
It is given a name
newton (N) = kg×m/s2
joule (J) = kg×m2/s2
watt (W) = kg×m2/s3
Section 1.6
Unit Combinations
*
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Relates one unit to another unit
Convert British to Metric (inches cm)
Convert units within system (kg g)
We use “conversion factors”
1 inch is equivalent to 2.54 centimeters
Therefore “1 in. = 2.54 cm” is our conversion factor for inches & centimeters
Section 1.6
Conversion Factors
*
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Question: How many centimeters are there in 65 inches?
Section 1.6
Since 1 in. = 2.54 cm
Or
Easy Conversion – Example
65 in. × = 165 cm (the inches cancel out!!)
*
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Step 1 – Choose/Use a Conversion Factor, generally can be looked up.
Step 2 – Arrange the Conversion Factor into the appropriate form, so that unwanted units cancel out.
Step 3 – Multiply or Divide to calculate answer.
Use common sense – anticipate answer!
Section 1.6
Steps to Convert
or
for example
*
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How fast in mi/h is 50 km/h?
Conversion Factor is 1 km/h = 0.621 mi/h
Starting Value
Conversion
Factor
Result
Section 1.6
50 km/h ?? mi/h
*
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Section 1.6
50 km/h ?? mi/h
Starting Value
Conversion
Factor
Result
*
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Either conversion factor can be used:
1 km/h = 0.621 mi/h or 1 mi/h = 1.61 km/h
How fast in km/h is 50 mi/h?
Section 1.6
50 mi/h ?? km/h
Starting Value
Conversion
Factor
Same
Result
*
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Section 1.6
50 mi/h ?? km/h
Starting Value
Conversion
Factor
Same
Result
*
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22 inches = ?? meters
Inches centimeters meters
Starting Value
Conv. Factor #1
in cm
Conv. Factor #2
cm m
Result
Section 1.6
Multi-Step Conversion –
No Problem!
*
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Section 1.6
Starting Value
Conv. Factor #1
in. cm
Conv. Factor #2
cm m
Result
Multi-Step Conversion –
No Problem!
*
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How would one express “First and 10” in meters?
Conversion Factor is 1 yd = 0.914 m
Section 1.6
Confidence Exercise 1.3
10 yd
Starting Value
×
Conversion
Factor
yd
m
1
914
.
0
= ??
Result
*
© 2016 Cengage Learning
Section 1.6
= 9.14 m
Result
Confidence Exercise 1.3 (cont.)
10 yd
Starting Value
×
Conversion
Factor
yd
m
1
914
.
0
*
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4843 m ×
= 15,885 feet above SL
(1775 feet higher than the top of Pikes Peak!)
Section 1.6
Peruvian Road Solution
*
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Significant figures (“SF”) – a method of expressing measured numbers properly
A mathematical operation, such as multiplication, division, addition, or subtraction cannot give you more significant figures than you start with
For example, 6.8 has two SF and 1.67 has three SF
Section 1.7
Significant Figures
*
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When we use hand calculators we may end up with results like: 6.8 ÷ 1.67 = 4.0718563
Are all these numbers “significant?”
Section 1.7
Significant Figures
*
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General Rule: Report only as many significant figures in the result as there are in the quantity with the least significant figures.
6.8 cm ÷ 1.67 cm = 4.1 (round off 4.0718563)
6.8 is the limiting term with two SF
5.687 + 11.11 = 16.80 (round up 16.797)
11.11 is the limiting term with four SF
Section 1.7
Significant Figures
*
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All non-zero digits are significant
Both 23.4 and 234 have 3 SF
Zeros are significant if between two non-zero digits (’captive’) – 20.05 has 4 SF, 407 has 3 SF
Zeros are not significant to the left of non-zero digits – used to locate a decimal point (leading zeros) – 0.0000035 has 2 SF
To the right of all non-zero digits (trailing zeros), must be determined from context – 45.0 has 3 SF but 4500 probably only has 2 SF
Section 1.7
Significant Figures – Rules
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Exact Numbers – numbers of people, items, etc. are assumed to have an unlimited number of SF
In the process of determining the allowed number of significant figures, we must generally also ’round off’ the numbers.
Section 1.7
Significant Figures
*
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If the first digit to be dropped is less than 5, leave the preceding digit unchanged.
Round off to 3 SF: 26.142 26.1
If the first digit to be dropped is 5 or greater, increase the preceding digit by one.
Round off to 3 SF: 10.063 10.1
Section 1.7
Rounding Off Numbers
*
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Round off 0.0997 to two SF
0.0997 0.10
What about this? 5.0×356 = 1780
Round off 1780 to 2 SF
1780 1800
Section 1.7
Rounding off Numbers – Examples
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Many numbers are very large or very small – it is more convenient to express them in ’powers-of-10’ notation
See Appendix VI
1,000,000 = 10×10×10×10×10×10 = 106
Section 1.7
Powers-of-10 Notation
(Scientific Notation)
*
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Section 1.7
Examples of Numbers Expressed in Powers-of-10 Notation
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The distance to the Sun can be expressed many ways:
93,000,000 miles
93×106 miles
9.3×107 miles
0.93×108 miles
All four are correct, but 9.3×107 miles is the preferred format
Section 1.7
Scientific Notation
*
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The exponent, or power-of-10, is increased by one for every place the decimal point is shifted to the left.
360,000 = 3.6×105
The exponent, or power-of-10, is decreased by one for every place the decimal point is shifted to the right.
0.0694 = 6.94×10–2
Section 1.7
Rules for Scientific Notation
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5.6256×0.0012 = 0.0067507
round to 2 SF
0.0067507 rounds to 0.0068
change to scientific notation
0.0068 = 6.8×10–3
Section 1.7
Example –
Rounding/Scientific Notation
*
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0.0024/8.05 = 0.0002981
round to 2 SF
0.0002981 rounds to 0.00030
change to scientific notation
0.00030 = 3.0×10–4
**Note that the “trailing zero” is significant**
Section 1.7
Example –
Rounding/Scientific Notation
*
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Read the problem, and identify the chapter principle that applies to it. Write down the given quantities w/ units. Make a sketch.
Determine what is wanted – write it down.
Check the units, and make conversions if necessary.
Survey equations – use appropriate one.
Do the math, using appropriate units, round off, and adjust number of significant figures.
Section 1.7
Problem Solving
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The Earth goes around the Sun in a nearly circular orbit with a radius of 93 million miles. How many miles does Earth travel in making one revolution about the Sun?
Section 1.7
Problem Solving
*
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The Earth goes around the Sun in a nearly circular orbit with a radius of 93 million miles. How many miles does Earth travel in making one revolution about the Sun?
Determine what parts of the question are important and how to attack the problem.
Section 1.7
Problem – Example
*
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The Earth goes around the Sun in a nearly circular orbit with a radius of 93 million miles. How many miles does Earth travel in making one revolution about the Sun?
In order to solve this problem notice that you need an equation for a circular orbit (circumference, c)
The radius, r, of 93,000,000 miles is given
Our answer also needs to be in miles (convenient!)
Equation: ( = 3.14159…)
Section 1.7
Problem – Example
*
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Circumference = ( = 3.14159…)
c = 2×3.14159×93,000,000 miles
or
c = 2×3.14159×9.3×107 miles
c = 58.433574×107 miles
round off and adjust to two SF
c = 5.8×108 miles
5.8×108 miles = distance that the Earth travels in one revolution around the Sun
Section 1.7
Problem Solving
*
© 2016 Cengage Learning
Important Equation
Density: = m/V
Section 1.7
*
2.54 cm
1 in.
1 inch
1
2.54 cm
=
2.54 cm
1
1 inch
=
2.54 cm
1 inch
1 inch
2.54 cm
0.621 mi/h
50 km/h31.05 mi/h
1 km/h
´=
0.621 mi/h
50 km/h31.05 mi/h
1 km/h
´=
1.61 km/h
50 mi/h80.5 km/h
1 mi/h
´=
1 km/h
50 mi/h80.5 km/h
0.621 mi/h
´=
1.61 km/h
50 mi/h80.5 km/h
1 mi/h
´=
1 km/h
50 mi/h80.5 km/h
0.621 mi/h
´=
2.54 cm1 m
22 in.0.56 m
1 in.100 cm
´´=
2.54 cm1 m
22 in.0.56 m
1 in.100 cm
´´=
3.28 ft
1 m
6
6
11
0.00000110
1,000,00010
-
===
2
cr
p
=
2
cr
p
=
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The ability to view ourselves from an unbiased perspective allows us to critically assess our personal strengths and weaknesses. This is an important step in the process of finding the right resources for our personal learning style. Ego and pride can be
· By Day 1 of this week
While you must form your answers to the questions below from our assigned reading material
CliftonLarsonAllen LLP (2013)
5 The family dynamic is awkward at first since the most outgoing and straight forward person in the family in Linda
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The most important benefit of my statistical analysis would be the accuracy with which I interpret the data. The greatest obstacle
From a similar but larger point of view
4 In order to get the entire family to come back for another session I would suggest coming in on a day the restaurant is not open
When seeking to identify a patient’s health condition
After viewing the you tube videos on prayer
Your paper must be at least two pages in length (not counting the title and reference pages)
The word assimilate is negative to me. I believe everyone should learn about a country that they are going to live in. It doesnt mean that they have to believe that everything in America is better than where they came from. It means that they care enough
Data collection
Single Subject Chris is a social worker in a geriatric case management program located in a midsize Northeastern town. She has an MSW and is part of a team of case managers that likes to continuously improve on its practice. The team is currently using an
I would start off with Linda on repeating her options for the child and going over what she is feeling with each option. I would want to find out what she is afraid of. I would avoid asking her any “why” questions because I want her to be in the here an
Summarize the advantages and disadvantages of using an Internet site as means of collecting data for psychological research (Comp 2.1) 25.0\% Summarization of the advantages and disadvantages of using an Internet site as means of collecting data for psych
Identify the type of research used in a chosen study
Compose a 1
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effect relationship becomes more difficult—as the researcher cannot enact total control of another person even in an experimental environment. Social workers serve clients in highly complex real-world environments. Clients often implement recommended inte
I think knowing more about you will allow you to be able to choose the right resources
Be 4 pages in length
soft MB-920 dumps review and documentation and high-quality listing pdf MB-920 braindumps also recommended and approved by Microsoft experts. The practical test
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One thing you will need to do in college is learn how to find and use references. References support your ideas. College-level work must be supported by research. You are expected to do that for this paper. You will research
Elaborate on any potential confounds or ethical concerns while participating in the psychological study 20.0\% Elaboration on any potential confounds or ethical concerns while participating in the psychological study is missing. Elaboration on any potenti
3 The first thing I would do in the family’s first session is develop a genogram of the family to get an idea of all the individuals who play a major role in Linda’s life. After establishing where each member is in relation to the family
A Health in All Policies approach
Note: The requirements outlined below correspond to the grading criteria in the scoring guide. At a minimum
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Read Connecting Communities and Complexity: A Case Study in Creating the Conditions for Transformational Change
Read Reflections on Cultural Humility
Read A Basic Guide to ABCD Community Organizing
Use the bolded black section and sub-section titles below to organize your paper. For each section
Losinski forwarded the article on a priority basis to Mary Scott
Losinksi wanted details on use of the ED at CGH. He asked the administrative resident