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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: pairs

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Match the words from Richard Connell’s short story “The Most Dangerous Game” to their synonyms. (Pairs) tangible —–> enthusiastic —–> morals —–> calm —–> (Tiles) zealous scruples placid palpable

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How could an error during transcription affect the protein that is produced? A.The Protein would have complementary base pairs B.The Protein would be made of the wrong amino acids C.The Protein would become too specialized D.The Protein would become RNA polymerase

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4e + 5f = 9 …multiply by 5

——————

-20e – 16f = -36 (result of multiplying by -4)

20e + 25f = 45 (result of multiplying by 5)

—————-add

9f = 9

f = 9/9

f = 1

5e + 4f = 9

5e + 4(1) = 9

5e + 4 = 9

5e = 9 – 4

5e = 5

e = 5/5

e = 1

solution is (1,1)

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An insect with three pairs of legs is called: a thorax an isopod a tetrapod a hexapod

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If Tom has 3 different sweaters, and 5 different pairs of pants, how many different combinations could he wear?

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**Answer:**

**Number of copy machines must be made to minimize the unit cost=160.**

**Step-by-step explanation:**

We are given that the unit cost function C ( the cost in dollars to make each copy machine)

If machines are made =x

Then the unit cost function is given by

We have to find the number of copy machines for minimize the unit cost

Differentiate with respect to x

Then we get

……(equation I)

To find the value of x then we susbtitute is equal to zero

By using division property of equality

Again differentiate the equation I with respect to x then we get

Hence, the unit cost is minimize for x=160

**Therefore, the number of copy machines must be made to minimize the unit cost =160**

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Lily observes that the food served in her school cafeteria is often of poor quality. After a food poisoning scare, Lily decides to write letters to her family, her school principal, and the school newspaper. Which tone most clearly matches the intended audience for each letter? Tiles family school principal school newspaper Pairs assertive, personal, and respectful arrowBoth logical, demanding, and persuasive arrowBoth emotional, honest, and open arrowBoth

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**Technician **is a worker trained with special skills, especially in science and engineering.

1. **Agricultural technician** – gathers crop or animal samples for scientific testing. (*Agricultural*: used for farming or relating to farming.)

2.** Hydorelectric technician** – Analyzes water for envinromental issues, such as drought, pollution, or erosion. (*Hydroelectric* – electricity produced by the energy of fast -moving water.)

3, **Home appliance repairman** – troubleshoots and repairs faulty machinery and equipment. (*Appliance*: a device, machine or piece of equipment)

4. **Textile tender** – operates and tends cutting machines for various textiles.

(*Textile*: a cloth made by hand or machine)

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A molecule in which the central atom has no lone pairs and forms four single bonds is said to have a ________ shape.

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Which is a typical characteristic of an ionic compound? a. electron pairs are shared among atoms. b. the ionic compound has a low solubility in water. c. the ionic compound is described as a molecule?

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**Answer:**

**Number of copy machines must be made to minimize the unit cost=160.**

**Step-by-step explanation:**

We are given that the unit cost function C ( the cost in dollars to make each copy machine)

If machines are made =x

Then the unit cost function is given by

We have to find the number of copy machines for minimize the unit cost

Differentiate with respect to x

Then we get

……(equation I)

To find the value of x then we susbtitute is equal to zero

By using division property of equality

Again differentiate the equation I with respect to x then we get

Hence, the unit cost is minimize for x=160

**Therefore, the number of copy machines must be made to minimize the unit cost =160**

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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 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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A drawer contains five pairs of socks that are brown, black, white, red, and blue. Claude takes the red socks out of the drawer. What is the probability of Claude choosing the red socks on his first pick?

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So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= **47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.**

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25) Answer is: less metallic and more nonmetallic.

Electronegativity increases from left to right across a period, atoms have tendency to attract electrons.

Electronegativity (χ) is a property that describes the tendency of an atom to attract a shared pair of electrons.

26) Answer is: **radioisotope.**

Radioisotope has an unstable atomic nucleus and emit energy and particles when it changes to a more stable form.

Francium (Fr) is element with atomic number 87 (87 protons and 87 electrons).

27) Answer is: **boils.**

Boiling is the temperature at which the vapour pressure of the liquid is equal to the pressure exerted on the liquid by the surrounding atmosphere.

The Celsius scale was based on 0°C for the freezing point of water and 100°C for the boiling point of water at 1 atm pressure.

28) Answer is: **endothermic.**

There are two types of reaction:

1) endothermic reaction (chemical reaction that absorbs more energy than it releases, ΔH>0).

2) exothermic reaction (chemical reaction that releases more energy than it absorbs).

For example, the breakdown of ozone is an endothermic process. Ozone has lower energy than molecular oxygen (O₂) and oxygen atom, so ozone need energy to break bond between oxygen atoms.

29) Answer is: **kinetic.**

The average kinetic energy of molecules depends on the temperature.

As temperature increases, molecules gain more energy from surrounding and move faster.

Kinetic energy (standard unit is the joule J) depends on speed of the molecule.

Solid gains kinetic energy to become a liquid and then becomes a gas.

30) Answer is: alpha particles.

This was famous Rutherford’s Gold Foil Experiment: he bombarded thin foil of gold with positive alpha particles.

Rutherford observed the deflection of alpha particles on the photographic film.

Alpha particles are helium atom particles, consist of two protons and two neutrons.

According to Rutherford model of the atom: atoms have their charge concentrated in a very small nucleus.

31) Answer is: highest.

For example, calcium oxide.

Calcium oxide (CaO) has ionic bonds between calcium cations (Ca²⁺) and oxygen anions (O²⁻).

Because it has strong ionic bonds, it has high melting point (around 2600°C).

Ionic bond is the electrostatic attraction between oppositely charged ions (cations and anions).

32) Answer is: a scientific model.

A scientific model is a representation of an idea, an object, a process or a system that is used to describe and explain phenomena that cannot be experienced directly.

33) Answer is: the superscript is **mass number** and the subscript is **atomic number.**

Atomic number(Z) is the number of protons, which is characteristic of a chemical element..

Mass number (A) is the total number of protons and neutrons in a nucleus.

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Cumulative Pay $6,800 $10,500 $8,400 $66,000 $4,700

Pay subject to FICA S.S. $421.60 $651.00 $520.80 $4092.00 $291.40

6.2%, (First $118,000)

Pay subject to FICA Medicare $98.60 $152.25 $121.80 $957.00 $68.15

1.45% of gross

Pay subject to FUTA Taxes $40.80 $63.00 $50.40 $396.00 $28.20

0.6%

Pay subject to SUTA Taxes $367.20 $567.00 $453.60 $3564.00 $253.80

5.4% (First $7000)

Totals $928.20 $1,433.25 $1,146.60 $9,009.00 $641.55

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Based on the context of this excerpt from Herbert Spencer’s “Intellectual Education,” match each bolded word to the correct definition.+ Tiles defeat compatible failure wrongful concern ignorance belief opposite Pairs solicitude conviction

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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 set of order pairs (-1, 8), (0,3) (1,2) and (2, -7) represent a function. What is the range of the function?

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Jen has 10 shirts 5 skirts and 4 pairs of shoes. How many possible complete outfits can jen get out of her wardrobe? A.200 B.252 C.19

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Ethyne differs from ethene in what way? A. The carbons share three pairs of electrons in ethyne and only two pairs in ethene. B. The carbons in ethyne each form three single bonds whereas those in ethene each form four single bonds. C. The carbons in ethyne are not fixed in place as they are in ethene. D. Ethyne contains only carbon and hydrogen atoms.

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**Answer:**

a metal

an element

**Explanation:**

Copper is a metal (it is the chemical element known as Cu, atomic number 29) and is among the first metals discovered by humans, used since ancient times for the production of coins and ornaments. Its color is a reddish orange that arouses interest in several pieces. It participates in the manufacturing process of bronze, metal that is made of copper with tin, and has several properties that help in the production and use of this metal in everyday life.

To better understand what this metal is and its importance in everyday life, as well as its main use, it is interesting to know its properties:

1 – Great conductor: This metal easily conducts heat and electricity, being used in various operations that require this property.

2 – Not corrosive: Like some other metals, aluminum, for example, copper resists corrosion.

3 – Easily molded: This property facilitates the production of various copper objects and products. Remember that, although easily moldable, it is very resistant metal.

4 – Anti-Bactericide: It does not absorb many bacteria as it slows the growth of germs that are bad for your health.

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The words that most closely matches the denotation of the bold words are:

Her fervent piety and **watchful **uprightness made it impossible to see her without thinking and feeling—”that woman is a Christian.” [diligent]

The most interesting feature of my history here was my learning to read and write, under somewhat **marked **disadvantages. [considerable]

Words like these, I observed, always troubled them; and I had no small satisfaction in wringing from the boys, occasionally, that fresh and bitter condemnation of slavery, that springs from nature, **unseared **and unperverted. [pure,uncorrupted]

Fredrick Douglass wrote his own account of life in which he mentioned about the ills of slavery and about the hardships which the slaves had to undergo. He had tried to expose the cruelty of slavery which doesn’t spare anyone born in a black family. He points out the idea that a slave is a form of property owned by the master and he possesses full control over him.

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