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20. Which of the following is a compound sentence? A. Do you want to go to the diner? B. After the rain stopped, the girls decided to go to the park. C. Anywhere you want to go, we will follow. D. Erin and Maria are going to the mall, and John is going to the movies.

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Answered by answersmine AT 22/10/2019 – 03:45 AM

Compound sentences occur when two independent sentences are combined into a single sentence. Therefor the answer is “D. Erin and Maria are going to the mall, and John is going to the movies” and “B. After the rain stopped, the girls decided to go to the park”

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Carlos and his family left for the amsuement park at 8:35 a.M. The trip took 1 hour and 55 minutes. What time did they arrive

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Carlos and his family left for the amsuement park at 8:35 a.M. The trip took 1 hour and 55 minutes. What time did they arrive

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Bea can run around the park in about 16minutes and her friend hillary can do it in about 20minutes if they both start the same time and continue running around the park,about how long will it take them to be next to each other again?

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Answer:

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

So, AD=AB=44.8 cm

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=  x+y=84.8 …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

H^2=P^2+B^2

(44.8)^2=x^2+z^2  ………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

H^2=P^2+B^2

(72)^2=y^2+z^2 …………[3]

Subtract [2] and [3]

(72)^2-(44.8)^2=y^2+z^2-x^2-z^2

5184-2007.04=(x+y)(x-y)

3176.96=(84.8)(x-y)

37.464=x-y ……….[4]

Add equation [1] and [4], to get values of x and y

x+y+x-y=84.8+37.464

2x=122.264

x=61.132

Substitute x in [1]

x+y=84.8

61.132+y=84.8

y=23.668

Substitute value of x in equation [2], to get z

(44.8)^2=x^2+z^2

(44.8)^2=(23.668)^2+z^2

2007.04-560.174224=z^2

z=sqrt{1446.865776}

z=38.06

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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In this writing assignment, you are going to translate the sentences below using what you have learned in this course. Ce devoir vaut 20 points. I am at the park. I am sick today. Are you at school? Is he depressed? Is he red-headed? Is she pretty? We are smart. Are we studying? Are they organized? They are French.

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In this writing assignment, you are going to translate the sentences below using what you have learned in this course. Ce devoir vaut 20 points. I am at the park. I am sick today. Are you at school? Is he depressed? Is he red-headed? Is she pretty? We are smart. Are we studying? Are they organized? They are French.

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You are alone at a park and see a older woman collapse onto the grass. Explain what steps you should take to help this woman and in what order you should take them. Be sure to include details of what you would do.

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1. The answer is “C”.

“Identical twins” who have been raised apart are typically more similar in intelligence level than biological siblings raised together because they have been born with the same genetic code.

Identical twins originate from a single fertilized egg that parts into two. Before it parts, it is either male or female. After it parts, there are either two guys or two females. The two sections of the fertilized egg embed in the uterus and every create one of the twins.  

Identical twins have the equivalent hereditary source. No immediate reason for monozygotic twinning has been resolved; it isn’t innate. Monozygotic twins speak to around 33% all things considered. They may look strikingly comparative, and it might be hard to reveal to them separated.

2. The answer is “A”.

Lawrence Kohlberg felt that one of the only ways individuals will accomplish the objectives in each of his six stages was to participate in “consensus democracy” in small group settings.

Lawrence Kohlberg felt that the best way to support development through these stages was by discourse of good problems and by investment in consensus democracy inside small groups. Consensus democracy was rule by understanding of the gathering, not larger part rule. This would invigorate and widen the reasoning of youngsters and grown-ups, enabling them to advance starting with one phase then onto the next.

3. The answer is “D.  showing a learner how to correct common mistakes”.

The term scaffolding alludes to a procedure in which instructors display or exhibit how to take care of an issue, and afterward venture back, offering support as required. Analyst and instructional architect Jerome Bruner first utilized the term ‘scaffolding’ in this setting, harking back to the 1960s. The hypothesis is that when understudies are given the help they require while discovering some new information, they stand a superior possibility of utilizing that learning freely. Bruner suggests positive association and three methods of portrayal amid educating: activities, pictures, and dialect.  

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If your vehicle breaks down pull off the roadway, and if possible, park so that your vehicle can be seen for ____ feet in each direction.

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Answer:

a) The time the police officer required to reach the motorist was 15 s.

b) The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) The total distance traveled by the officer was 225 m.

Explanation:

The equations for the position and velocity of an object moving in a straight line are as follows:

x = x0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position at time t

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

v = velocity at time t

a)When the officer reaches the motorist, the position of the motorist is the same as the position of the officer:

x motorist = x officer

Using the equation for the position:

x motirist = x0 + v · t (since a = 0).

x officer = x0 + v0 · t + 1/2 · a · t²

Let´s place our frame of reference at the point where the officer starts following the motorist so that x0 = 0 for both:

x motorist = x officer

x0 + v · t = x0 + v0 · t + 1/2 · a · t²      (the officer starts form rest, then, v0 = 0)

v · t = 1/2 · a · t²    

Solving for t:

2 v/a = t

t = 2 · 15.0 m/s/ 2.00 m/s² = 15 s

The time the police officer required to reach the motorist was 15 s.

b) Now, we can calculate the speed of the officer using the time calculated in a) and the  equation for velocity:

v = v0 + a · t

v = 0 m/s + 2.00 m/s² · 15 s

v = 30 m/s

The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) Using the equation for the position, we can find the traveled distance in 15 s:

x = x0 + v0 · t + 1/2 · a · t²

x = 1/2 · 2.00 m/s² · (15s)² = 225 m

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A security fence encloses a rectangular area on one side of a park in a city. three sides of fencing are? used, since the fourth side of the area is formed by a building. the enclosed area measures 392392 square feet. exactly 5656 feet of fencing is used to fence in three sides of this rectangle. what are the possible dimensions that could have been used to construct this? area?

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Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

d=sqrt{(c-a)^2+(d-b)^2}.

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

d=sqrt{(x-8)^2+(y-9)^2}.

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

10=sqrt{(x-8)^2+(y-9)^2}.

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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Mario walks his dog once every 8 days in the park while todd walks his dog once every 14 days today both mario and todd walked their dogs in the park in how many more days will both boys walk their dogs in the park on the same day

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Finding the “probability that at least one is girl” can be done much easier by subtracting the “probability that none is girl” from 1, since these 2 events are the complement of each other, and either one or the other, but never both, may happen.

consider the tree diagram of the problem, check the picture, each branching represents a birth. The only branch where there is no girl (no g), is 

bbbbbb with a probability of (1-0.534=0.466) per each letter b. 

we know that the probability of a particular branch is the multiplication of the probabilities of each letter in the branch.

so in the case, P(bbbbbb)= (0.466)^{6}= 0.01

finally, P(at least 1 girl) = 1- P(no girl)=1-P(bbbbbb)=1-0.01=0.99

Answer: 0.99

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Giving an address, such as “1000 Elysian Park Avenue, Los Angeles, CA,” is an example of describing the __________ of a place. A. human-environment interaction B. environmental impact C. relative location D. absolute location Please select the best answer from the choices provided. A B C D

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Natural Forces Affecting the Driver:

1. While the car stops, the person continues moving the way that the car were moving and then hits the obstacle in the car or the person can be thrown out of the vehicle. If the person wears belt, he will stop moving with the vehicle and won’t hit the obstacle.

2. We count approximate kinetic energy using the formula K = v^2. So the vehicle which is moving at 30 mph will have four times less kinetic energy than vehicle which is moving at 60 mph. If they have the same road conditions, the breaking distance will be four times as great for the car moving twice as fast.

3. Kinetic energy depends on object’s mass and velocity and it has direct relationship with the stopping distance. The lesser mass of the vehicle = the lesser kinetic energy and lesser stopping distance. => If both vehicles have the same velocity, then small vehicle has lesser kinetic energy than large vehicle.

4. We know that kinetic energy has this relationship with velocity K = v^2. So the best way to prepare to enter sharp curves in the roadway is to lower the speed. The most appropriate speed is 20-30 mph, but it depends on road conditions and car’s breaks condition.

5. Car crashes can happen with everyone so the best way is to be prepared. First the driver should wear a seatbelt while he’s driving. He should check his tires and breaks condition regularly. And also it’s important to slow down the vehicle while entering sharp curves. Without following these rules, the driver can get catastrophic injuries in a car crash.

Signs, Signals, and Pavement Markings: 

1. It doesn’t matter where you go. All you need is to learn highway code. It’s very different to know the meanings of every road sign. Also, it’s necessary to check your car’s conditions and you should take some spare parts for your car in case of accidents. So wherever you go, it’s important to be prepared.

2. You should stop before crossing and take few minutes to make sure there is no train approaching. If there is no train approaching, you can pass a railroad crossing. If you see approaching train, you should wait until it will pass a railroad crossing.

3. You should stop before the lights and wait to check the traffic movement and signs. Make sure that everything is safe and pass the intersection. Don’t move fast to avoid accidents.

4. Flashing yellow light means that it’s not necessary to stop but you should to pay attention on the traffic movement. So it would be better to yield before the lights and make sure if it’s safe to move. After that you can cross the intersection.

5. The line change means that the lane changes and you can’t cross solid lines. Pay more attention on road marking because it shows how you should behave on the road or highway.

6. As you approach the next exit and  your passengers need to use the restroom and get some food, you should look for green signs which indicate food and rest stops. You should to slow down if you don’t want to skip the sign.

7. When you take the exit ramp off the expressway and merge onto the next road, you see yellow lines dividing the roadway which indicates that there is oncoming traffic and this is a two-way highway. 

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Lydia noticed that she feels tired and out of breath after walking her dog uphill in the park which area and fitness does she need to improve

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The initial diagnosis for Lillian, who is 50 years old and has sharp decrease in her estrogen level, nausea and fatigue is Menopause. Menopause is a natural biological process that marks the end of your menstrual cycles. There are hormonal changes during this phase, characterized with decrease in estrogen. The hormonal changes also lead to fatigue and nausea, which are common symptoms of menopause.

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Jennifer had a very enjoyable time at the amusement park one week ago. Most of the visual and auditory stimuli that she experienced and has now forgotten were initially processed in her _____ memory.

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Rochelle’s erratic memory of her mediocre performance is most likely due to HINDSIGHT BIAS (Answer).

Hindsight bias refers to “an eye for predicting some events in life before they have even happened.” It is that leaning many people have to see events as more predictable than they are.

It is also common to listen to people saying that they knew or had the feeling about the outcome of an event. It is the same that happened with Rochelle, once she realized her real grades, she remembered how poorly she did in college; it says: ” She then started telling everyone she remembers being a pretty poor student”.

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Question 2(Multiple Choice Worth 1 points) (04.00 MC) If you spent a week in a French town, where would you observe most French families going at least one morning during the week? the spa the market the flea market the park Question 3(Multiple Choice Worth 1 points) (04.00 MC) What is the major difference between the French and Americans regarding food shopping? The French buy meat and deli products. go shopping at a supermarket. buy vegetables often. buy food at specialized stores daily. Question 4(Multiple Choice Worth 1 points) (04.02 MC) Fill in blank with the correct form of the verb aller. La fille __________ au magasin. vais vas vont va

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Question 13 (Fill-In-The-Blank Worth 1 points)

Fill in the blank with the correct form of the verb être: You may copy
and paste the accented characters from this list if needed: Àà Ââ Ää Çç
Éé Èè Êê Ëë Îî Ïï Ôô Œœ Ùù Ûû Üü

Tu es mon amie.

Question 14 (Fill-In-The-Blank Worth 1 points)

Fill in the blank with the correct form of the verb être: You may copy
and paste the accented characters from this list if needed: Àà Ââ Ää Çç
Éé Èè Êê Ëë Îî Ïï Ôô Œœ Ùù Ûû Üü

On est au restaurant.

Question 15 (Fill-In-The-Blank Worth 1 points)

Fill in the blank with the correct form of the verb être: You may copy
and paste the accented characters from this list if needed: Àà Ââ Ää Çç
Éé Èè Êê Ëë Îî Ïï Ôô Œœ Ùù Ûû Üü

Ma maman et moi (My mother and I) sommes de Paris.

Conjugaison du verbe “être” au présent :

Je suis
Tu es
Il,elle,on est
Nous sommes
Vous êtes
Ils,elles sont

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Megan collected data about the trees in the park near her school. she determined that white oak, bur oak, ash, sycamore, and maple trees were the only trees that grew in the park. the pie chart below shows most of her data. mc022-1.jpg which label should megan add to complete her chart?

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Part A)

So we need the graph to pass through these points:

time = 2 and price=$14 -> (2,14)

time= 5 and price = $29 -> (5,29)

Standard form:

Ax+By = C

Let’s replace the points:

A*2+B*14=C

A*5+B*29=C

Let’s eliminate variables:

(A*2+B*14)-(A*5+B*29)=C-C

A*2+B*14-A*5-B*29=0

-3A-15B=0

-3A=15B

A=15B/-3

A=-5B

There are several numbers that verify this proportion. For
example, if B=1, A=-5 (you can try others, there is not only 1 correct answer).

So we can make this equation:

-5x+y=C

Then we can calculate C using one point:

-5*2+14=C

-10+14=C

4=C

So one of the possible equations is: -5x+y=4

(Remember there are multiple correct answers for this
item)

You can verify it with the other point:

-5*5+29=-25+29=4 ->OK

 

Part B)

Whatever you have found in Part A, you will find the same in
Part B when you convert it to function notation. All you have to do is clear y:

-5x+y=4

y=4+5x

So the equation is: f(x)=4+5x

Part C)

First of all, you have to find f(0)

f(x)=4+5x

f(0) =4+5*0=4+0=0

f(0) is ALWAYS the constant not multiplied by x.

So you know it has to cross the y axes in y=4

Now let’s put 0 as y-value:

4+5x=0

5x=0-4=-4

x=-4/5

So now you know it has to cross the x axes in x=-4/5.

So you can put those intersections in the graph and you draw
the line through those points. Labels: horizontal axes is x, and in this case represents time; vertical axes is y, and in this case represents price.

Remember there are other methods, too 🙂

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3. A garden is going to be built in the city park. The garden region is shown below. a. A short fence will be built around the perimeter of the garden region. Find the number of meters of fencing required. Round your answer to the nearest tenth of a meter. Show all your work. b. Find the total area of the garden region. Round your answer to the nearest tenth of a square meter. Show all your work.

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The ratio of the waist measurement to hip measurement is boxed{bf 1.05} and he is in the high risk of cardiovascular problems.

Further explanation:

The ratio is a quantitative relation between two amounts.

The ratio can be expressed in the form of a:b, where a and b are the real numbers.

The ratio a:b can be written in the form of fraction as frac{a}{b} where a is divided by b.

Given:

Kevin’s waist measurement is 42text{ inches} and hip measurement is 2text{ inches} less than the waist measurement.

Calculation:

Step 1:

First we have to find Kevin’s hip measurement.

Kevin’s hip measurement is 2text{ inches} less than the waist measurement which is 42text{ inches}.

Therefore, subtract the value 2text{ inches} from 42text{ inches} to obtain the hip measurement.

It can be mathematically expressed as follows:

begin{aligned}text{Hip measurement}&=42-2\&=40end{aligned}

Step 2:

Now, we calculate Kevin’s WHR.

The ratio of waist measurement to hip measurement denoted as “WHR”.

The value of WHR can be expressed as follows:

boxed{text{WHR}=dfrac{text{Waist measurement}}{text{Hip measurement}}} …… (1)

Substitute the value of waist measurement and hip measurement in the equation (1).

begin{aligned}text{WHR}&=dfrac{42}{40}\&=dfrac{21}{20}\&=1.05end{aligned}

The value of WHR is 1.05.

The waist to hip ratio (WHR) is used to predict the cardiovascular problems in both men and women.

The ratio should not be greater than 1 otherwise the person would be considered in the high risk of the cardiovascular problems.

The waist to hip ratio (WHR) of Kevin is greater than 1.

Therefore, Kevin is in the high risk of cardiovascular problems.

Thus, the ratio of the waist measurement to hip measurement is boxed{bf 1.05} and he is in the high risk of cardiovascular problems.

Learn more:  

1. Learn more about the graph of the function brainly.com/question/1952668

2.  Learn more about the values of the underlined digit by comparing brainly.com/question/120717

3.  Learn more about Solve the equations for the variable brainly.com/question/1682776

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Ratio and Proportion

Keywords:  Ratio, proportion, WHR, cardiovascular problems, waist measurement, hip measurement, men, women, high risk, predictor, decimal, problems, amount, fraction, real numbers, Kevin, good predictor.

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A map of a city is on a coordinate graph. The school is located at (4,−30)(4,−30) , the park is located at (4,10)(4,10) , and the library is located at (−10,−30)(−10,−30) . What is the distance from the school to the library?

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A map of a city is on a coordinate graph. The school is located at (4,−30)(4,−30) , the park is located at (4,10)(4,10) , and the library is located at (−10,−30)(−10,−30) . What is the distance from the school to the library?
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Blake is driving home from the water park. He drives for 60 miles and stops to rest before driving 20 more miles. Unfortunately, Blake remembers he was supposed to pick up a present for his friend on the way home, so he turns around and drives 36 miles back towards the water park. Once he picks up the present, he drives the rest of the way home, which is 70 miles away. What is the distance from the water park to Blake’s home?

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I think you need to use the SoHCaHToA method here.

S means sin
C means cos
T means tan
O means opposite
H means hypotenuse
A means adjacent

The hypotenuse is the longest side in a right angled triangle.

The adjacent is the side between the angle and the right angle.

The opposite is the side that is left.

If you have the value of the opposite cross all of the o’s out. The same with the other sides. If only one type of letter is crossed out, cross out the type of letter that stands for the length you want to find. The part of the word with two crosses tells you what function to use (sin, cos or tan)

In this example, the function used will be sin.

sinx°=o÷h
cosx°=a÷h
tanx°=o÷a

since we are using sin, the formula we will use is :

sinx°=o÷h

Then you plug in what you know.

sin30°=30÷h
h=30÷sin30°
h=60ft

If there was a case when you needed to work out an angle, inverse sin, or cos, or tan would be used.

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The hastings family drove 12/25 of the distance to yellowstone national park on the first day of their vacation.what percent of the distance to the park remained for them to drive?

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A dilation is a transformation, D_{o,k} with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P’.
The center O is a fixed point, P’ is the image of P, points O, P and P’ are on the same line.

Thus, a dilation of D_{o,2} is a dilation with centre O and a scale factor of 2 mapping the original figure to the image in such a way that the distances from O to the vertices of the image are twice the distances from O to the original figure. Also the size of the image are twice the size of the original figure.

In the dilation of triangle QRS with the rule D_{o,2},
1.) The size of the image △Q’R’S’ is twice the size of △QRS (i.e. D_{o,2}(x, y)=(2x,  2y).
Thus the first option is true.

2.) Line Q’S’ will lie on the same line as line QS. The slope of line QS = (3 – 1) / (-3 – (-1)) = 2 / -2 = -1.
Thus the second option is true.

3.) QR cannot be longer than Q’R’ as the size of the image is twice the size of the original figure.
Thus the third option is not true.

4.) The vertices of the image cannot be closer to the origin than those of the pre-image as the distances from O to the vertices of the image are twice the distances from O to the original figure.
Thus the fourth option is not true.

5.) The distance from Q’ to the origin is twice the distance from Q to the origin as the distances from O to the vertices of the image are twice the distances from O to the original figure.
Thus the fifth option is true.

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A ride in an amusement park has the following notice at the gate: "Children under the age of 8 are not allowed on this ride." Write an inequality to show the age of children who are allowed on the ride.

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A ride in an amusement park has the following notice at the gate: “Children under the age of 8 are not allowed on this ride.” Write an inequality to show the age of children who are allowed on the ride.

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James walks his dog every 8 days in the park. Joelle walks her dog every 14 days in the park. Today, they both walked their dogs in the park. In how many more days will they walk their dogs on the same day?

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In 112 days they will walk to the park. You may have to check to see if it could go lower.


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The total curb weight of a truck, a car a, and a car B is 11,250 lb. The weight of car A is 15 lb less than the weight of two B cars. The truck weighs 2145 lb more than car A. What is the curb weight of each vehicle? HELP ME PLEASE

The answer is: the curb weight of a truck is 5784 lb, the curb weight of a car a is 3639 lb, the curb weight of a car B is 1827 lb.
  
t – the weight of a truck
a – the weight of a car a
b – the weight of a car B

The total curb weight of the truck, the car a, and the car B is 11,250 lb:
t + a + b = 11250
The weight of car A is 15 lb less than the weight of two B cars: a + 15 = 2b
The truck weighs 2145 lb more than car A: t = a + 2145

Now, we have the system of three equations:
t + a + b = 11250
2b = a + 15          ⇒ b = (a + 15)/2
t = a + 2145
_________
Now, substitute b and t from the second and the third equations, respectively, into the first equation:
a + 2145 + a + (a + 15)/2 = 11250
2a + (a + 15)/2 = 11250 – 2145
2a*2/2 + (a + 15)/2 = 9105
4a/2 + (a + 15)/2 = 9105
(4a + a + 15)/2 = 9105
(5a + 15)/2 = 9105
5a + 15 = 9105 * 2
5a + 15 = 18210
5a = 18210 – 15
5a = 18195
a = 18195/5
a = 3639
______
b = (a + 15)/2
b = (3639 + 15)/2 = 3654/2 = 1827
______
t = a + 2145 = 3639 + 2145 = 5784

Posted in Mathematics

During a game, high school students sell snacks. They sell cold sandwiches for $2.50, hot dogs for $1.50, and hamburgers for $2. By the end of the day, the students have collected $1060.50 and sold 562 items. Casey estimates that the students sold twice as many hot dogs as cold sandwiches. If his estimate is correct, how many of each item did they sell? Solve by using row reduction.

The answer is they sold 127 cold sandwiches, 254 hot dogs, and 181 hamburgers.

s – the number of sandwiches
d – the number of hot dogs
h – the number of hamburgers

The price for s number of sandwiches is: $2.50s
The price for d number of hot dogs is: $1.50d
The price for h number of hamburgers is: $2h

The students have collected $1060.50: $2.50s + $1.50d + $2h = $1060.50
The students have sold 562 items: s + d + h = 562
The students sold twice as many hot dogs as cold sandwiches: d = 2s

Let’s use substitution method.
First, let’s substitute d from the third equation into the second equation and solve it for h in the term of s:
s + d + h = 562
d = 2s
s + 2s + h = 562
3s + h = 562
h = 562 – 3s

Further, substitute h and d from the second and the third equations, respectively, into the first equation and solve it for s:
2.50s + 1.50d + 2h = 1060.50
d = 2s
h = 562 – 3s
2.50s + 1.50 * 2s + 2(562 – 3s) = 1060.50
2.50s + 3s + 1124 – 6s = 1060.50
-0.5s + 1124 = 1060.50
1124  – 1060.50 = 0.5s
63.5 = 0.5s
s = 63.5/0.5 = 127

d = 2s = 2 * 127 = 254

h = 562 – 3s = 562 – 3 * 127 = 562 – 381 = 181

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Posted in Mathematics

Suppose the point (8, -3) is on the graph of y = f(x). Find the corresponding point on the following transformations of f. a.) y = −14f(x + 5) ( , ) b.) y = f(−x) + 5 ( , )

A) the graph is shifted left 5, reflected on the x-axis, and stretched vertically by a factor of 14.  So the point moves as follows:(8,-3) -> (3,-3) ->(3,3) – >(3,42)
b.) the graph is reflected on the y-axis, and then shifted up 5.  The points moves:(8,-3) -> (-8,-3) -> (-8,2)

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Although Thomas was sitting right next to his friends in the park, he was able to smell buttered popcorn a couple of minutes before they did. He has a lower __________ for smells than his friends.

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Answer:

1) small, hard spheres with insignificant volumes

2)The atmospheric pressure below sea level is higher.

3) some of the absorbed energy is converted to potential energy, and some is converted to kinetic energy

4)More molecules have enough energy to overcome the attractive forces holding them in the liquid.

5)three dimensions only

6) lower

Explanation:

1. The particles of gas are small, hard spheres with insignificant volumes. they are not slow moving.

2. Due to more air weight  below sea level compare with at sea level, the atmospheric pressure is more below sea level, the pressure decreases with increase in altitude.

3. On heating gas molecules, they gain energy. This energy is being converted to potential energy and some of it to kinetic energy. It increases the speed of gas molecules.

4. The evaporation occur when a liquid gains sufficient energy to overcome the inter molecular attractions and escape from the surface of liquid.

5. The patterns repeat in all the three dimensions.

6. Due to stronger inter molecular interactions in ionic compounds, they have higher melting points than molecular solids.

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