7(18x2 + 14x)

14x + 18x2 + 7

32x3 + 7

18x2(14x + 7)

**Answer:**

the second one .... 14x + 18x2 + 7 is the equivalent expression

PLS HELP QUICK!!!

help me solve 3<2p-3≤ 12 and graph the solution

The solution to the given **inequalities **is 3 < p and p ≤ 7.5. That is 3 < p ≤ 7.5.

The **graph **of the solution is shown below.

From the question, we are to **solve **the given **inequalities**

The given inequalities are

3 < 2p - 3 ≤ 12

We will solve the inequalities separately

That is

3 < 2p - 3 and 2p - 3 ≤ 12

Solve 3 < 2p - 3

3 < 2p - 3

3 + 3 < 2p

6 < 2p

6/2 < p

3 < p

Solve 2p - 3 ≤ 12

2p ≤ 12 + 3

2p ≤ 15

p ≤ 15/2

p ≤ 7.5

Hence,

Joining the two solutions together, the **solution **is 3 < p ≤ 7.5.

The graph is shown below.

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#2 The number of bacteria in a refrigerated food is given by N(T)=20T2-20T+120 for -2T14 Tand where T is the temperature of the food in Celsius.

(a)Explain the meaning of -2T14 in this context

(b)Determine the temperature the number of bacteria will be minimal?

(c)Find number of bacteria in a above

(d) Sketch a graph

From the given **quadratic function,** it is found that:

**a)** The **interval **-2 ≤ T ≤ 14 gives the **range **of the temperature of the food in Celsius.

**b)** The number of bacteria will be **minimal **for a **temperature **of 0.5 ºC.

**c) **The **minimum **number of bacteria is of 115.

**d) **The **graph **that models the situation is sketched at the end of the answer.

The** quadratic function** is given as follows:

N(T) = 20T² - 20T + 120, -2 ≤ T ≤ 14.

In which:

T is theThe function has a **domain **of -2 ≤ T ≤ 14, meaning that these are the **possible temperatures **of the food.

For a concave up quadratic function, the **minimum value** happens when the input is of:

Tm = -b/2a.

For this problem, the **coefficients **of the quadratic function are as follows:

b = -20, a = 20.

Hence the **temperature **in which the number of bacteria will be **minimal **is of:

Tm = 20/40 = 0.5 ºC.

The **number of bacteria** with this temperature is given by the **numeric value **of the function when T = 0.5, that is, each instance of T in the function is replaced by 0.5, hence:

N(0.5) = 20(0.5)² - 20(0.5) + 120 = 115 bacteria.

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need help on this question

The **coordinates** of the **vertex** B' is (2,3)

Given,

The vertices of **triangle** ABC are

A = (-4,4)

B = (-2,3)

C = (-5,2)

and, reflected across the** y-axis** to produce the image of triangle A'B'C'

To find the coordinate of the vertex B'

Now, According to the question

For **reflection** across y-axis, the rule is:

(x, y) → (-x, y)

So, the image of B is:

(-2, 3) → (-(-2), 3)

(-2,3) → (2, 3)

Hence, The **coordinates** of the **vertex** B' is (2,3)

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Please answer the question in the photo

**Answer: 8**

**Step-by-step explanation:**

180 degrees in a triangle, so 180 - 92 - 48 = 40

So, the missing angle is 40, which is equal to 5t, so

40 = 5t

t = 8

On 1st January 2017, Samantha and Dyfan invested money into different

savings accounts.

They did not make any further payments into their accounts or withdraw any

money from their accounts.

Dyfan invested £3000 in a savings account that paid interest at a rate of

1.02% every 3 months.

Interest is paid on the last day of each 3-month period.

Calculate the date when Dyfan will first have over £3600 in his account.

Input note: give your answer in the form DD/MM/YY

(4 marks)

(8

The** number of years **when Dylan would have over £3,600 in his a**ccount **is 18 June, 2021.

The time that If the **account **earns **interest **every 3 months, it means that the value increases **quarterly **or 4 times a year. The account would increase at an **exponential rate. **This means that both the amount invested and the interest that has already been earned would increase in value 4 times a year.

The formula that can be used to determine the** time** is:

**Time** = In(FV / PV) / r

Where:

FV = future value

PV = present value

r = interest rate

t = In (£3,600 / £3,000) / 0.0102

t = In 1.2 / 0.0102 = 17.87 / 4 = 4.468 years

4 years = 2017 + 4 = 2021

0.468 x 12 = 5.616 months

January + 5 months = June

0.616 x 31 = 19 days

18 June, 2021

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Estimate the quotient of 41 ÷ 7.94.

4

5

6

7

8x5 equals 40 so 5 should be your best estimate

pls pls help whoever gets it right gets marked brainliest

**Answer:**

**Step-by-step explanation:**

B

From the angle sum theory of triangle, the total sum of the 3 angles of the triangle should be 180.

Interior angle + exterior angle of a triangle = 180

Interior angle + exterior angle of a triangle = 180

Why can it help to line up the decimal

points before comparing and ordering

numbers with decimals?

**Answer: Why it makes sense: When we compare or order decimals we need to compare place values just like we do with whole numbers. When the edges are “jagged” it makes it harder to compare each decimal place. Adding a zero in an empty place value makes it easier to compare the numbers.**

**Step-by-step explanation:**

**Answer:**

you need to line them up to tell what place value each are in. if u don't the you won't known exactly what the product is equivalent to.

On the axes below, make an appropriate scale and graph exactly one cycle of the trigonometric function y=16sin 1/2 x

For the given** trigonometric function **y =16sin1/2 x the **graph** shows the amplitude of **16** , graph of exactly one cycle is with period 4π , with no vertical and phase shift.

As given in the question,

Given** trigonometric function** :

y = 16sin 1/2 x

Attached **graph** of the given trigonometric function with

Amplitude = 16

Period = 4π

Vertical shift = None

Phase shift = none

Table for the required trigonometric function values which represent appropriate scale and graph exactly one cycle of the trigonometric function

x : 0 π 2π 3π 4π

y : 0 16 0 -16 0

Therefore, graph of** trigonometric function** y =16sin1/2 x shows the amplitude of 16 , graph of exactly one cycle is with period 4π , with no vertical and phase shift.

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Which diagram shows parallel lines cut by a transversal?

option c

the lines is cut by one common line

the lines is cut by one common line

Rewrite in simplest terms: −4(8f+g)+9g−5(−2g+6f)

distribute

-32f - 4g + 9g + 10g - 30f

simplify

-62f + 15g

-32f - 4g + 9g + 10g - 30f

simplify

-62f + 15g

What is the truth value for the following conditional statement?

p: false

q: true

~p~q

OTF F

OTF-T

OFF-T

OFT F

This is the right response:** T F- F**.

What is the explanation:

If the answer to the following question is p, then 2 + 2 = 4.

which is accurate, meaning that this statement has a truth value of True.

The following assertion q illustrates q: 7 + 1 Equals 7.

This is untrue, making the statement's truth value Untrue

As far as we are aware, "pq (p implication q)" means that the truth value of the implication is False only when the truth value of statement p is True.

The truth table reveals that the truth value of pq will be False

**So T F → F**

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In Exercises 7-10, determine whether the table represents a linear or nonlinear function. Explain. (See Exam

8.

7.

X

X

y

4

y 16.8

1

5

2

12.6

10

8 12

7.4

3

15

16

1.2

4

20

10.

x 5

y

-9

X

y

-1

35

7

-3

9

-1

11

3

0

1

2

20 5 -10 pls help me

**Answer:**

every number has a correlating value

**Step-by-step explanation:**

When Riley left her house in the morning, her cell phone battery was partially

charged. The charge remaining in Riley's battery, as a percentage, can be modeled by

the equation B = 40 - 5t, where t is the number of hours since Riley left her

house. What is the x-intercept of the equation and what is its interpretation in the

context of the problem?

Riley's phone had a 50% charge when she left her home in the morning. **Equation **B = 40 - 5t. The x-**intercept **of the **equation **is (8,0). After 8 hours, Riley battery has no charge left in it ( since Riley left her house).

Given that,

Riley's phone had a 50% charge when she left her home in the morning. **Equation **B = 40 - 5t, where t is the number of hours since Riley left her residence, can be used to predict the percentage of charge still in Riley's battery.

We have to find what is the **equation's **x-**intercept **and how is it interpreted in the problem's context.

The **equation **B=40-5t can be used to model Lauren's battery charge remaining as a percentage when t is the number of hours since she left her home.

Put B = 0 to determine the x-**intercept**. (In this case, the independent variable is "t," as x signified the independent variable).

0=40-5t

5t=40

t=40/5

t=8

Therefore, the x-**intercept **of the **equation **is (8,0).

After 8 hours, Riley battery has no charge left in it ( since Riley left her house).

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If the measure of 43 is 70 degrees, what is the measure of <6?

A. 20; ∠s 3 and 6 are complementary angles

B. 70; ∠ s 3 and 6 are alternate interior angles

C. 110; ∠ s 3 and 6 are supplementary angles

D. 180; ∠ s 3 and 6 are same-side interior angles

**Answer:**

b

**Step-by-step explanation:**

angle 3 and angle 6 are alternate interior angles which makes the congruent

One of your friends is working on their math homework. They decide to translate the phrase "subtract 3 from 5" like this:

3-5

Which statements below give a reason why your friend's expression is incorrect?

Select ALL that apply.

A.The expression is written with the wrong operation.

B.in subtraction, order matters and the expression in the incorrect order.

C.the expression should be written as an addition expression with the 5 being added to the 3

D. The expression was written in the order from the phrase which is incorrect

**Answer:**

B

**Step-by-step explanation:**

When you are taking 3 away from 5 it would be 5-3, when you are taking 5 away from 3 it would be 3-5, but in this case it is not so the answer would be B as the order is incorrect.

What is the best estimate of 31 3/4 X 4 1/7 = ? Help Me?!!

The best estimate of **fraction** is 131.445.

An element of a whole is a **fraction**. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The **numerator** of a proper fraction is less than the **denominator**. A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated. For instance, the symbol for half of a complete number or item is [tex]\frac{1}{2}[/tex]

Given Data

31[tex]\frac{3}{4}[/tex] × 4[tex]\frac{1}{7}[/tex]

Solving **mixed** fractions

[tex]\frac{127}{4}[/tex] × [tex]\frac{29}{7}[/tex]

31.75 × 4.14

**Multiplying**

131.445

The best **estimate** of **fraction** is 131.445.

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suppose abc is a right triangle with sides a, b, and c and right angle at c. use the pythagorean theorem to find the unknown side length. then find the values of the six trigonometric functions for angle b. rationalize the denominators when applicable.

The unknown length is 28. the values of the six **trigonometric** functions for **angle **b that is tan B = 7/24

From the question,

we are given

a = 96 and c = 100, to get the unknown side 'b',

we will substitute the given values into the formula above;

c² = a²+b²

100² = 96² +b²

b² = 100² - 96²

b² = 10,000 - 9216b²

= 784b = √784b = 28

Hence, the unknown length is 28.

To get tanB, we will use the SOH, CAH, TOA **trigonometry** identity.

According to TOA,

tan B = opposite/adjacenttan B = b/a (note that side b is the opposite in this case since the **angle** we are considering is B)

Given, b = 28 and a = 96tan B = 28/96tan B = 4*7/4*24

tan B = 7/24

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The question is incomplete. Here is the complete question.

Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable. Find tan B when a = 96 and c = 100.

9. Describe and correct the error in performing the operation.

X 4x²(3x - 2x² + 7) = 12x³ - 8x + 28x²

**Answer:**

12[tex]x^{3}[/tex]-8[tex]x^{4}[/tex]+ 28[tex]x^{2}[/tex]

**Step-by-step explanation:**

the second term should not be -8x, it should be -8[tex]x^{4}[/tex]

The product of powers principle tells us that when we are multiplying powers with the same bases, we add the exponents. 4[tex]x^{2}[/tex](2[tex]x^{2}[/tex]) is 8 but then we add the exponents 2 + 2 = 4

$10,000 for 5 years at 4% interest

**Simple interest **earned on the **principal** amount $10,000 for 5 years at 4% interest per year will be **$12,000**.

As given in the question,

**Simple Interest**:

The **simple interest** is an amount that is paid for loan or borrowed money over a certain period at a fixed percentage of borrowed money.

Principal amount:

**Principal amount** is the money that is taken as loan or borrowed.

Formula of Simple Interest:

Simple interest = Principal amount × Rate × Time

Since,

Principal amount = $10,000

Rate = 4% per year

Time = 5 years

Then,

Simple interest = 10,000 × 4 × 5

Simple interest = $ 12000

Total value after 5 years = $ 12000

Principal amount = $ 10000

Interest Earned = (Total value) - (Principal amount)

Interest Earned = $ 12000 - $ 10000

Interest Earned = $ 2000

Therefore, **simple interest **earned on the principal amount $10,000 for 5 years at 4% interest** **per year will be $12,000.

The complete question is:

Fabian is taking out a loan in the amount of $10,000. His choices for the loan are a 5-year loan at 4% rate of interest .What is the amount of simple interest and interest earned Fabian would have to pay?

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Is the function linear? (actual answers please, i know someone could easily say yes or no)

Yes because linear is straight line

**Answer:**

Obviously yes...

**Step-by-step explanation:**

Because there is not a single curve, hence the fn is linear.

Had it been if there are some curves, it may result in having more than one zeroes...

Cuz there's no curve it has only one zero, which made the fn linear..

Thanks.

The value for x that makes the equation 4×-2+3×-7=51 true

The **value of x** that makes the equation** true** is 60/7.

The given equation is:-

4x - 2 + 3x - 7 = 51

The given equation is a **linear equation in one variable.**

Linear equation in one variable

A linear equation in one variable is of the form of ax + b = 0, where a and b are any two integers and x is an unknown variable having only one solution. Example : 5x + 3 = 10.

We have to find the value of x that makes the equation true.

Simplifying the given equation, we get

(4x + 3x) - (2 + 7) = 51

7x - 9 = 51

7x = 51 + 9

7x = 60

x = 60/7

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What is the equation for the line that passes through the coordinates (-4,-12)and(16,3)

The **equation** of the line that passes through these** coordinates** is 3x-4y= 36

If you have the coordinates of two points on a line, you can use the **slope **formula to determine that line's slope. m=(y2-y1)/(x2-x1), or the ratio of the change in the y values to the change in the x values, is the slope formula.

To find the equation of the line we first have to find the **slope** which is represented by m.

The slope or m is given by : y₂ - y₁ / x₂ - x₁

thus, m= 3-(-12)/ 16-(-4)

m= 3+12/ 16+4 = 15/20

m= 3/4

The equation of a slope is y-y₁=m (x-x₁)

y- (-12) = 3/4 (x- (-4))

y+12 = 3/4 (x+4)

On solving it further we get:

4y+48= 3x+12

3x-4y= 36

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Find the volume of this solid.

**Answer:**

128m²

**Step-by-step explanation:**

separate the two solids.The cube and the cuboid

find the volume of the cube i.e.5³=115m²

find the volume of the cuboid i.e 1×1×3=3m²

add the two volumes

**Answer:**

*128m²*

**Explanation:**

Add all volumes, 5+5+4+6+3, then times that by the volume below.

1 - 3x = 3x + 1

what does x equal?

**Answer:**

the value of x is -6

**Step-by-step explanation:**

1-3x= 3x+1

-3x -3x =1-1

-6x=0

-x=6

x= -6

Find the distance from the point A(−2, 3) to the line y = 12x+1. Round your answer to the nearest tenth.

Im pretty sure that it is 2√5.

The graph shows the velocity f(t) of a runner during a certain time interval:

Graph of line segment going through ordered pairs 0, 4 and 4, 8. Graph of another line segment going through ordered pairs 4, 8 and 8, 0. Label on the x axis is time in seconds, and label on the y axis is velocity in meters per second.

Which of the following describes the intercepts on the graph?

The initial velocity of the runner was 4 m/s, and the runner stopped after 8 seconds.

The initial velocity of the runner was 8 m/s, and the runner stopped after 4 seconds.

The initial acceleration of the runner was 4 m/s2, and the runner stopped after 8 seconds.

The initial acceleration of the runner was 8 m/s2, and the runner stopped after 4 second

The **description** of the **intercepts** of the Graph **segments** passing through the points (0, 4), (4, 8), (4, 8) and (8, 0) is given by the option;

A **velocity** **time** **graph** is a graph that shows how the velocity of an object changes with time

The given information on the graph are;

The **coordinates** of the points on the **Graph** of the first line **segment** = (0, 4) and (4, 8)

On Graph of the second line segment, the coordinates of the points = (4, 8), (8, 0)

The label of the axis of the graph are;

**X–axis** label = Time in seconds (s)

**Y–axis** label = Velocity in m/s

Required; The option that gives the description of the **intercepts** of the graph

Solution; The *x *and **y–intercept** are given as follows;

At the x–intercept the y–value is 0, which gives the **x–intercept** of the graph as the point (8, 0)

Given that the y–value which is the value of the **velocity**, is 0, it means that the **runner** **stops** at the point (8, 0), or after 8 seconds

At the y–intercept, the x–value is 0. The y–intercept is therefore the point (0, 4)

The 0 in the y–intercept means that the time is 0 seconds, which is the **starting** or **initial** **time**, while the 4 means that the velocity is 4 m/s.

Therefore, the y–intercept (0, 4) can be described as the initial velocity of the runner is 4 m/s

The description of the intercepts on the graph are therefore;

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Answer:

The initial velocity of the runner was 4 m/s, and the runner stopped after 4 seconds and then again after 8 seconds. Option A is the correct answer

Step-by-step explanation:

The intercepts on the graph can be described as follows:- The y-intercept is the point at which the line intersects the y-axis, and it represents the initial velocity of the runner. In this case, the y-intercept is at (0, 4), which means that the initial velocity of the runner was 4 m/s.- The x-intercept is the point at which the line intersects the x-axis, and it represents the time at which the runner stopped. In this case, there are two x-intercepts: one at (4, 8) and another at (8, 0).

This means that the runner stopped twice, once after 4 seconds and again after 8 seconds.

Therefore, the correct description of the intercepts on the graph is: The initial velocity of the runner was 4 m/s, and the runner stopped after 4 seconds and then again after 8 seconds. Option A is the correct answer.

When adding and subtracting with significant digits, it's important to consider decimal places in the numbers being added.

TRUE or FALSE?

**Answer:**

false

**Step-by-step explanation:**

can some one help i will give 100 points and brainliest can you show your work step by step?

Answer: in pictures

Select all the equations where x = -2 is a solution.

(Select all that apply.)

a. 3x - 5 = 1

b. 19 = 2(x-6)+3

c. 5 + 3x = -1

d. 2(x+5)=x+8

e. 4x = 4 + 2x

the leters c and d are correct for this equation

Which of the following does the Pythagorean Theorem reveal
particle 1 carrying -4.0 c of charge is fixed at the origin of an xy coordinate system, particle 2 carrying 8.0 c of charge is located on the x axis at x
In the following paragraph, the third sentence contains _____.Yesterday, Bill stopped at the library to pick up some books for his father. When he got to the library, the librarian could not find the books. (3) She looked for them for half an hour. She was embarrassed when she found that they had been put back on the shelves.one personal and one possessive pronountwo personal pronouns (one subject pronoun and the other an object pronoun)two possessive pronouns (one plural pronoun and the other a singular pronoun)two personal subject pronouns
WILL MARK BRAINIEST This receives sensory information from all over the bodyO pons lobeO parietal lobeO occipital lobeO corpus callosum
Author's Tone - I thought of Sylvia and Evie and Sandy and Two-Bit's many blondes. They were the only kind of girls that would look at us, I thought. Tough, loud girls who wore too much eye makeup and giggled and swore too much. What is the author's tone then highlight three words or phrases that best convey this tone.
In the last six lines of the excerpt, the narrator praises Beowulf highly as the best man "to raise a shield or to rule a kingdom" (line 860). However, he quickly adds that no one blamed Hrothgar for Grendel's 12-year reign of terror because "he was a good king" (line 862). What do these lines reveal about Anglo-Saxon warrior values?
. Describe and correct the error in finding the sum.X8 65+ (16)(-1)15306+815=136+||11493019= 1-30Its the super long problem, sorry I couldnt crop the other stuff out
4. What is the abstract noun in the following sentence? Their continuous efforts paid off with big dividends. A. their B.efforts C. big D. dividends
6. What do advocacy groups do?They support executive department nominations.O They sponsor candidates for political office.O They donate money to candidates they prefer.O They work to influence federal court judgments.
How many measures are there until the next part enters in Kookaburra?A. 2B. 1C. 3D. 4
Indicate whether the following statement isTRUE or FALSE. 17 is an integer
A spring with a spring constant (k) of 300. N/m is stretched a distance of 0.30 m. Determine the force that was needed to stretch the spring.
what is the y-intercept of 3x+5y=30 ? responsesA. (0,6)B. (6,0)C. (0,10)D. (10,6)
Does anybody know how to answer this to?The table shows the relationship between the participants walking and running for the week's cross-country practices.Walk (laps) 3 B 15Run (laps) 5 10 DTotal (laps) A C 40At this rate, how many laps will the participants walk if the total distance is 32 miles? How many miles will they run?They will walk 7 laps and run 17 laps for a total of 32 miles.They will walk 12 laps and run 20 laps for a total of 32 miles.They will walk 14 laps and run 18 laps for a total of 32 miles.They will walk 10 laps and run 22 laps for a total of 32 miles.Question 3(Multiple Choice Worth 2 points)(Three-Column Tables LC)PART 2The data below shows the ratio of brown to green crayons in four kindergarten classrooms.12 to 2010 to 2514 to 3530 to 75Which table below correctly shows these ratios in a three-column table?Brown 20 25 35 75Green 12 10 14 30Total 32 35 49 105Brown 12 10 14 75Green 20 25 35 30Total 30 35 44 105Brown 12 10 14 30Green 20 25 35 75Total 32 35 49 105Brown 12 25 14 30Green 20 10 35 75Total 42 35 49 100
Express the ratio below in its simplest form. 2:4
The purpose of capillary tubes is to:permit oxygen and nutrients to be absorbed by cellsallow blood to complete a path between arteries and veinsreverse the flow of bloodprovide a means for cell wastes to enter the blood stream
55 points ASAP PLEASEThe art of literature stands apart from among its sisters, because the material in which the literary artist works is the dialect of life; hence, on the one hand, a strange freshness and immediacy of address to the public mind, which is ready prepared to understand it; but hence, on the other, a singular limitation. The sister arts enjoy the use of a plastic and ductile material, like the modeller's clay; literature alone is condemned to work in mosaic with finite and quite rigid words. You have seen these blocks, dear to the nursery: this one a pillar, that a pediment, a third a window or a vase. It is with blocks of just such arbitrary size and figure that the literary architect is condemned to design the palace of his art. Nor is this all; for since these blocks, or words, are the acknowledged currency of our daily affairs, there are here possible none of those suppressions by which other arts obtain relief, continuity, and vigour: no hieroglyphic touch, no smoothed impasto, no inscrutable shadow, as in painting; no blank wall, as in architecture; but every word, phrase, sentence, and paragraph must move in a logical progression, and convey a definite conventional import.Now the first merit which attracts in the pages of a good writer, or the talk of a brilliant conversationalist, is the apt choice and contrast of the words employed. It is, indeed, a strange art to take these blocks, rudely conceived for the purpose of the market or the bar, and by tact of application touch them to the finest meanings and distinctions, restore to them their primal energy, wittily shift them to another issue, or make of them a drum to rouse the passions. But though this form of merit is without doubt the most sensible and seizing, it is far from being equally present in all writers. The effect of words in Shakespeare, their singular justice, significance, and poetic charm, is different, indeed, from the effect of words in Addison or Fielding.In a paragraph of five to eight sentences, identify the author's use of implied (indirectly stated) and explicit (directly stated) comparisons using the example in bold. Provide at least one example of each from the text and explain their meanings. Use proper spelling and grammar.
Philippines depends primarily on fossil fuels as a main source of energy in different mode of transportation. Since this source is a nonrenewable, it means there will be a time that it will perish. As a STEM student, what can you do or suggest to solve this problem?
HELP PLASEEEEWhich freedom/right is being violated?Carolyn is arrested for shoplifting a candy bar from a grocery store. At trial, she is found guilty. The judge decides that the right punishment is to cut off Carolyns hands so she will not be able to shoplift again.
How many molecules of glucose could a plant make with 12 molecules of both CO2 and H2O?