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The graph represents function 1 and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3. Function 2 y = 6x + 1 How much more is the rate of change of function 2 than the rate of change of function 1? A. 5 B. 6 C. 7 D. 8

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# Tag: straight

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What is the shortest route around the earth A) straight line across a map B) great circle route C) flying diagonally to longitudes D) winkel tripel route

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Bret kicks a soccer ball straight up into the air worth an initial velocity of 25 m/s from a height of 1 m. After how many seconds will the soccer ball land? A. 5 s B. 5.14 s C. 6.5 s D. 7 s

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Halfway through the journey we are living I found myself deep in a darkened forest, For I had lost trace of the straight path. Ah how hard it is to tell what it was like, How wild the forest was how dense and rugged! What effect does the setting have on Dante’s feelings?

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**Answer:**

**The correct sequence according to the question is steps- 4→1→3→5→6→2→7.**

**Explanation:**

The given steps show that how the rocks are recycled from one form to another form due to certain factors like weathering over geological time scale which was explained by James Hutton and he termed this concept as the **rock cycle.
**

The steps of the rock cycle in sequence according to the question are:

1. Breakdown of rock by weathering into regolith- **step 4**

2. Dumping and deposition of regolith in a reservoir-** step 1**

3. Erosion and transportation of regolith by rain or wind-** step 3**

4. Cementing of the deposited layer to form sedimentary rock- **step 5**

5. Conversion of sedimentary rock to a metamorphic rock due to intense heat and pressure- **step 6**

6. Conversion of metamorphic rocks to magma due to the melting of metamorphic rocks-

step 2

7. Conversion of magma to igneous rocks due to volcanic activities and cooling of magma- ** step 7**

Therefore **sequence according to the question is steps- 4→1→3→5→6→2→7 is correct.**

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**Answer:**

1) Water has very high specific heat.

2) It expands when it freezes

3) ability to dissolve in ionic substances

4) Water molecules at the surface experience fewer hydrogen bonds than water molecules within the liquid.

**Explanation:**

1) Water molecules due to their high specific heat , undergo relatively less increase in temperature after absorbing heat. So they prevent their adjoining area to experience sharp increase in temperature.

2) Water is an example which expands on freezing. In it , large spaces are left between molecules when it cools. It happens because hydrogen bonds prevent any two molecules to come very close thereby creating gaps. This gap is filled up when ice melts , which results in overall reduction in volume of water.

3) Uneven distribution of charge results in water molecules becoming polar in nature . A polar substance can be dissolved in polar solvents only.

4) It is due to property of surface tension. Property of surface tension results due to molecules of water near the surface experiencing a net downward force due to hydrogen bonds . It is due to fewer hydrogen bonds made by them.

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**Answer:**

The answer to the question: Although she does not have a background in law, she hopes to land the job because of the:___, would be: **Screening effect**.

**Explanation:**

The screening effect is a theory that is used by companies and recruiters in order to effectively select and screen the best candidates for a specific position, even if these candidates may not fulfill all the requirements for that position. What the theory does is propose that candidates who have completed a college degree show their capacities, even if these are not specifically related to an expected topic, by simply achieving this goal, and are therefore worthy to be taken into account for selection. In the case of Tracy, she has not just fulfilled the part of the theory of finishing her degree, but she has overachieved by obtaining the best degrees in topics that are related to a job as a legal assistant. The screening effect will allow recruiters to see Tracy´s records and take her into account, even if she has never had any legal experience, due to her achievements in related topics.

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R=R₀(1+α(T-T₀)), where R₀ is the resistance at T₀=20°C, T is the temperature for which we want to calculate the resistance and α is the temperature coefficient for resistance.

The resistance of the copper wire increases by 18% or by 0.18, so the new value for the resistance is R=1.18*R₀.

T₀=20°C

=0.0068

R=1.18*R₀

Now we need to input that into the equation for resistance change and solve for temperature T.

1.18R₀=R₀(1+α(T-20)), R₀ cancels out,

1.18=1+α(T-20),

1.18-1=α(T-20), we divide by α,

0.18/α=T-20, we put 20 on the left side,

26.47+20=T

T=46.47°C

So the temperature on which the resistance of copper wire will increase by 18% is T=46.47°C.

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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.**

**S**o, AC ⊥ BD

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

AC= AO+OC

AC= …….[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

………[2]

**Applying Pythagorean theorem in ΔCOD**

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

…………[3]

**Subtract [2] and [3]**

……….[4]

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

**Substitute x in [1]**

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

**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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The statement is equivalent to

120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:

n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.

You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

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**The basis to respond this question are:**

**1) Perpedicular lines form a 90° angle between them.**

**2) The product of the slopes of two any perpendicular lines is – 1.**

So, from that basic knowledge you can analyze each option:

**a.Lines s and t have slopes that are opposite reciprocals.**

**TRUE. Tha comes the number 2 basic condition for the perpendicular lines.**

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

**c.The product of the slopes of s and t is equal to -1**

**TRUE: that is one of the basic statements that you need to know and handle.**

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

**g.The intersection of s and t forms right angle.**

**TRUE: right angle = 90°.**

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

**So, the right choices are a, c and g.**

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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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**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.**

**S**o, AC ⊥ BD

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

AC= AO+OC

AC= …….[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

………[2]

**Applying Pythagorean theorem in ΔCOD**

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

…………[3]

**Subtract [2] and [3]**

……….[4]

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

**Substitute x in [1]**

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

**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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How much work does it take to lift a box weighing 78.6 pounds straight up four feet?

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While cruising at a steady speed of 400km/h, you identify a storm cloud straight ahead 45km away.

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Jin walked 4 km on a straight path to get to the sandwich shop. He traveled 30° south of east. What is the southern component of Jin’s component, rounded to the nearest tenth?

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Magnetic field lines around a bar magnet a. are only perpendicular to the magnet. b. spread out from one pole and curve around to the other. c. cross back and forth over one another. d. are perfectly straight.

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Magnetic field lines around a bar magnet a. are only perpendicular to the magnet. b. spread out from one pole and curve around to the other. c. cross back and forth over one another. d. are perfectly straight.

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**Answer:**

**Total Cost of the job = $92.44**

**Step-by-step explanation:**

Overhead rate = 85%

Retail price of parts = $17.75

Let Total cost of job be $x

Hourly rate of the labor = $8.50 per hour

⇒ Total cost = Labor time × (1 + overhead rate) × r + Retail price

⇒ Total Cost = 4.75 × (1 + 0.85) × 8.50 + 17.75

⇒ Total Cost = 4.75 × 1.85 × 8.50 + 17.75

⇒ Total Cost = 74.69 + 17.75

**⇒ Total Cost = $92.44**

**Thus, Total Cost of the job = $92.44**

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While when you use a fitness center, you have access to more machines, and more resources, when at home, you are more likely to have the amenities you would like, and more focus on your exercise, and less on others. As far as cost, if you are looking to buy machines, then it would be much cheaper to go to a fitness center, but if you are looking to do exercises with items you may already have, or other cheap items, then it would, in that case be more cost effective to work out at home.

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**Answer:**

Option 1.

**Step-by-step explanation:**

As per table given

Option A. Range between the maximum and minimum values for taco truck one will be the mean value of the truck 1 for 10 days

= (721+658+437+527+601+468+425+431+508+515)/10 = 5291/10 = 529.10

Range between maximum and minimum value for truck 2

= (462+471+426+654+647+732+701+684+632+698)/10 = 6107/10 = 610.70

Therefore the range between maximum and minimum values for truck 2 is greater than truck 1.

Option B. is not true because food truck 1 sold the most on day 1 and truck 2 on day 6.

Option C. is not true because on average truck 2 sold more tacos than truck 1 over the period of 10 days.

Option D. Median of truck 1 is 601 while for truck 2 is 647 so this option is also not valid.

Therefore option A. is the answer.

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