[tex]6/2-(81/3)^{2}[/tex]

Answers

Answer 1
The answer is -726
I hope this helps!
Answer 2

Answer:

-726

Step-by-step explanation:

So whenever you have a fraction raised to some power, you can distribute the exponent: [tex](\frac{a}{b})^n=\frac{a^n}{b^n}[/tex] the reason for this can be explained, using the definition of an exponent. You can see: [tex](\frac{a}{b})^n[/tex] as [tex]\frac{a}{b} * \frac{a}{b} * \frac{a}{b}... \text{ n amount of times}[/tex] multiplying fractions simply multiplying the numerators by the other numerators, and the denominators by the other denominators. So you're going to have the fraction: [tex]\frac{a * a * a \text{ n amount of times...}}{b * b * b\text{ n amount of times...}}[/tex] which can be rewritten as an exponent, since this is the very definition of an exponent. This simplifies to: [tex]\frac{a^n}{b^n}[/tex].

Anyways now that you hopefully understand that, let's simplify the expression

The first step is to distribute the exponent to get the fraction:

[tex]\frac{6}{2}-\frac{81^2}{3^2}[/tex]

Now square both values to get

[tex]\frac{6}{2}-\frac{6,561}{9}[/tex]

The fraction simplifies to:

[tex]\frac{6}{2}-729[/tex]

the left fraction simplifies to 3, so you get

[tex]3-729[/tex]

This simplifies to

-726


Related Questions

A given gas powered water pump delivers 42.50 gallons of water per minute. This value can also be expressed as _____________ L/s (Liters per second).

Answers

The rate at which the gas powered pump deliver water is 160.9 litres per seconds

How to convert rate?

The gas powered water pump delivers 42.50 gallons of water per minute.

Therefore,

1 gallon = 3.78541 litres

42.50 gallons = ?

cross multiply

volume = 42.50 × 3.78541 = 160.879925 litres

Hence,

60 seconds = 1 minutes

1 second = ?

time = 1 / 60 = 0.01666666666 seconds

Hence,

rate = 160.9 litres per second

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Discuss the implications of an infinite-dimensional space in generalization ability of the hard-margin SVM. What are the strategies we can use to improve generalization

Answers

The SVM classifier's generalization performance is improved by decreasing the VC dimension.

What is SVM ?

SVM stands for Support Vector Machine .

A potent machine learning technique for classification and regression is called a Support vector machine. The selection of a margin type is crucial if we want to use it to solve an issue.

A soft margin or a hard margin can be chosen on the basis of the data , If the data is linearly separable , hard margin is used , If the data is not separable linearly and misclassifications can be allowed then soft margin is used.

The hard margin SVM's capacity for generalization is significantly influenced by VC.

the SVM classifier's generalization performance is improved by decreasing the VC dimension.

We contend that by using dimensionality reduction and bootstrapping techniques, the VC dimension of an SVM classifier can be decreased.

The SVM classifier's performance was now enhanced by bootstrapping both the original data and the projected data that is dimensionally reduced .

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Pleaseeee helppppppp

Answers

Answer:

The second choice (-6, -5 2/5, -4 1/5)

Step-by-step explanation:

1) Find the nth term by using the rule given. Foil them out.

A(n) = -6 + 1/5n - 1/5

A(n) = 1/5n - 31/5

2) Find the first term by substituting 1 into n.

a1 = 1/5(1) - 31/5

a1 = -6

3) Find the fourth term by substituting 4 into n.

a4 = 1/5(4) - 31/5

a4 = -27/5 or -5 2/5

4) Find the tenth term by substituting 10 into n.

a10 = 1/5(10) - 31/5

a10 = -21/5 or -4 1/5

Therefore, the second choice (-6, -5 2/5, -4 1/5) is correct.

Which best explains if quadrilateral WXYZ can be a parallelogram?

Answers

A quadrilateral in which opposite sides are parallel is called a parallelogram. The correct option is A.

What is a parallelogram?

A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

For a parallelogram, the pair of opposite sides are equal and parallel. Therefore,

1.)  For the first pair.

(x+8) = 15

x = 7

2.) For the second pair

(x+2)=(2x-5)

x + 2 = 2x - 5

2 + 5 = 2x - x

x = 7

(x+2) = (7+2) = 9

Since the measure of the pair of opposite sides is 15 units, the pair of the other two sides measure 9 units.

Hence, the correct option is A.

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Find m/CDU if m/CDE-154° and m/UDE = 108°.
U
E
D
C

Answers

Answer: [tex]46^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle CDE=m\angle UDE+m\angle CDU\\\\154^{\circ}=108^{\circ}+m\anlge CDU\\\\m\angle CDU=46^{\circ}[/tex]

Two similar triangles have areas 16 and 4. if a side of the smaller triangle measures 2, find the length of the corresponding side in the larger triangle.

Answers

Answer: 4

Step-by-step explanation:

The ratio of the areas of similar figures is the square of the side length.

Since the ratio of the areas is 16:4 = 4:1, the ratio of the side lengths is 2:1.

So, the length of the corresponding side is 2(2) = 4.

Flo has two equations that she found to be valuable models for her research. She thinks that if she can find the solution of the two graphs, she will be able to identify a key point to her studies. What can Flo expect to be her outcome for the solutions of these two graphs?

Answers

The point of intersection is (-2,1) and this is the solution of the two graphs and the correct option is A.

What is a System of Equations?

The system of equations is the set of equations that have a common solution.

The solution to the graph given is the answer to the Flo's model

The intersection point of the line of the two-equation is the solution to the two equations.

The point of intersection is (-2,1) and so the correct option is A.

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Distance (feet)
2
14
12
10
20
5
4
2
2
4
6
garden
Distance (feet)
12 14 15
The diagram shows a garden plot. The area of the garden is
garden is … square feet.
square feet. The length of fencing required to completely enclose the garden is … feet.

Answers

The area of a 2D form is the amount of space within its perimeter. The area of the garden is 72 feet² and the perimeter of the garden is 36 feet.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The diagram for the given garden is given below.

1.) The area of the garden is,

The area of the garden = Area of rectangle + Area of triangle

                                       = (6 x 8) + (0.5 x 6 x 8)

                                       = 48 + 24

                                       = 72 feet²

2.) The perimeter of the garden is,

The perimeter of the triangle = 12 + 8 + 6 + 10 = 36 feet

Hence, the area of the garden is 72 feet² and the perimeter of the garden is 36 feet.

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Students were asked to write an expression equivalent to the expression below:
30a+12b-6a+ 2(9b+c+15)
Their answers are as follows:
36a-30b+2c +30
Ben wrote: 36a - 30b + 2c + 30
Martin:
24a+30b+2c +30
Sara wrote: 24a + 30b + 2c + 15
Martin wrote: 24a + 30b+2c +30
Which, if any, of those students wrote expressions that are equivalent to the original expression?
In the space provided below, either prove why each student's response is equivalent, or explain and correct the student's error.
Sara
| Ben:
Allie wrote: 2(12a + 15b+c+15)
24a+30b+ac+15
Allie:
2(13a +156+c+15)

Answers

The equivalent is 24a + 30b +2c + 30

How to determine the equivalent expression

Given the original expression as;

30a+12b-6a+ 2(9b+c+15)

First, expand the bracket, we have

30a + 12b -6a + 18b + 2c + 30

Then, collect like terms

30a -6a + 12b + 18b + 2c + 30

24a + 30b +2c + 30

The equivalent is 24a + 30b +2c + 30

From the result, we have that Martin is correct.

Sara wrote the equivalent as 24a + 30b +2c + 15

She made a mistake in expand the bracket = 2( 9b +c +15) = 18b + 2c + 30

Ben wrote 36a - 30b + 2c + 30. He made a mistake in issuing the sign for 30b = 12b + 18b = +30b

Thus, the equivalent is 24a + 30b +2c + 30

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What fraction of £1 is 31p?

Answers

Answer dfrac31*p1 that’s the answer

The fraction of 1 pound to 31 penny is 31/100.

Given that, £1  and 31 p.

What is metric conversion?

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

We know that, 1 pound = 100 penny

Now, the fraction of £1 is 31 p is

31/100

Therefore, the fraction of 1 pound to 31 penny is 31/100.

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Which ordered pair below is a solution to the following system of equations?

-x + 2y = 5

x + y = 1

Answers

Answer:

The correct option is OPTION (A) .

Does this graph represent a function? Why or why not?
C A. Yes, because it passes the vertical line
test.
B. No, because it is not a
straight line.
No, because it fails the vertical line test.
O D. Yes, because it passes the horizontal line test.

Answers

Answer:

A. Because it passed the y axis

Random assignment to treatments helps control for lurking variables ? true ? false.

Answers

It is true that Random assignment to treatments helps control for lurking variables

The main purpose for using randomization in an experiment is to create sure that the results are accurate. you wish to avoid biasis and lurking variables. Having a randomized experiment will facilitate your to create sure that your information is correct

The main purpose for using randomization in an experiment is to manage the lurking variable and establish a cause and effect relationship. Also, by randomizing an experiment the evidence is more supported

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Please Help Asap Please And Thank You.

Answers

20/50 twenty spaces up and 50 units over

Answer:

m (slope) = -1/10; the slope means that every 1/10 minute the candle goes down 1/100 centimeters OR every 10 minutes the candle goes down 1 centimeter; the y intercept is how tall the candle is at the beginning

Step-by-step explanation:

to find the slope of this line we can simply use the (y2 - y1) / (x2 - x1) formula

that gives us

(0 - 25) / (250 - 0)

or

-25/250

or

-1/10

the slope means that every 1/10 minute the candle goes down 1/100 centimeters OR every 10 minutes the candle goes down 1 centimeter

the y intercept is how tall the candle is at the beginning

\sqrt{27} - \sqrt{ 12} + \sqrt{48 }

Answers

Answer:

[tex]5\sqrt{3}[/tex]

Step-by-step explanation:

I'm assuming you're asking for most simplified form?

Original Equation:

[tex]\sqrt{27} - \sqrt{12} + \sqrt{48}[/tex]

Rewrite sqrt(27) using the exponent property: [tex]\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}[/tex]

[tex]\sqrt{9} * \sqrt{3} -\sqrt{12} + \sqrt{48}[/tex]

Simplify sqrt(9)

[tex]3\sqrt{3} -\sqrt{12} + \sqrt{48}[/tex]

Rewrite the radical sqrt(12)

[tex]3\sqrt{3} -\sqrt{4}\sqrt{3} + \sqrt{48}[/tex]

Simplify sqrt(2)

[tex]3 \sqrt{3} -2\sqrt{3} + \sqrt{48}[/tex]

Rewrite the radical sqrt(48)

[tex]3\sqrt{3} -2\sqrt{3} + \sqrt{16}\sqrt{3}[/tex]

Simplify the sqrt(16)

[tex]3\sqrt{3} -2\sqrt{3} + 4\sqrt{3}[/tex]

You can think of sqrt(3) as x, in which case you have 3x - 2x + 4x, so you just add the coefficients and leave the sqrt(3) alone.

Subtract 2 from 3

[tex]1\sqrt{3} + 4\sqrt{3}[/tex]

Add 1 and 4

[tex]5\sqrt{3}[/tex]

How many positive three-digit numbers are evenly
divisible by 33?

Answers

Answer:

27

Step-by-step explanation:

smallest multiple of 33 that is 3 digits is 132 (33*4), and largest is 990 (33*30)

then all the numbers between 4 and 30 would also be 3 digits

including 4 and 30, that makes 27 number in total

Verbal
2. How can you tell whether an absolute value function
has two x-intercepts without graphing the function?

Answers

Without graphing an absolute value function, you can tell whether it has two x-intercepts by isolating the absolute value term to have an equation of the form |A| = B and then form two different equations.

What is an absolute value function?

An absolute value function can be defined as a type of function that consist of an algebraic expression, which placed within absolute value symbols

Mathematically, the standard form of the equation for an absolute value function is given by:

y = a|x - h| +k.

Where:

h and k are the vertex of the graph.

Without graphing an absolute value function, you can tell whether it has two x-intercepts by isolating the absolute value term to have an equation of the form |A| = B and then form two different equations.

Lastly, solve each equation for the two x-intercepts.

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Solve 4(5)^x= 500.
help please

Answers

Answer:

x=3

Step-by-step explanation:

Isolate x.

[tex]4(5)^x=500[/tex] Divide both sides by four

[tex]5^x=125[/tex] Take [tex]log_{5}[/tex] of both sides. In other words, what power must you raise 5 to in order to get 125? ([tex]5^3=125[/tex])

x=3

Is the function y = –9x^8+3 linear or nonlinear?

Answers

Answer:

It is nonlinear

Step-by-step explanation:

Linear

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1.

I don’t know what to do pls help me

Answers

Answer:

35

Step-by-step explanation:

Basically, since the angle HGF consists of HGE and EGF, then that means that HGF = HGE + EGF, and since EGF and HGF is given we plug this into the equation to get: 145 = HGE + 110, so HGE = 35.

Answer: 35°

Step-by-step explanation:

Hi!

The total angle is 145°

part of the angle is 110°

to find the missing angle, do 145 - 110 = 35°

Hope this helped :)

There are 4 circles and 6 triangles. What is the simplest ratio of circles to triangles?

Answers

Answer:

2/3

Step-by-step explanation:

Since there are 4 circles and 6 triangles, and they are asking for the ratio of circles to triangles, the fraction would be 4/6

4/6 when divided by two = 2/3 which is the simplest form of the fraction 4/6

The simplest ratio of circles to triangles would be; 2/3

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that there are 4 circles and 6 triangles.

Since there are 4 circles and 6 triangles, and they are asking for the ratio of circles to triangles, the fraction would be as given;

4/6

when divided by two we get;

2/3

This is the simplest form of the fraction 4/6

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Which expression is equivalent to (4 + 6)²?

Answers

Answer:

A) -20+48i

Step-by-step explanation:

[tex](4+6i)^2\\(4+6i)(4+6i)\\16+24i+24i+36i^2\\**i^2=-1*\\16+48i+36i^2(-1)\\16+48i-36\\-20+48i[/tex]

Question 2
Consider a right angled triangle where one of the non-hypotenuse sides has
length 3 and the angle it makes with the hypotenuse is 65. What is the area of
this triangle?
A: 3cos65/2 B: 9tan65/2 C: 9sin65/2 D: 9cos65/2 E: 3sin65/2

Answers

Using relations in a right triangle, the area of the triangle is given by:

B. 9tan(65º)/2.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, we have one leg(length 3) and the angle with the hypotenuse(65º), hence the other leg can be found as follows:

[tex]\tan{65^\circ} = \frac{x}{3}[/tex]

x = 3tan(65º).

What is the area of a right triangle?

The area of a right triangle is half the multiplication of it's legs, hence in this problem:

A = 1/2 x 3 x 3tan(65º) = 9tan(65º)/2.

Which means that option B is correct.

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By what percent will the fraction increase if its numerator decreased by 30% and the denominator decreased by 50%

Answers

Answer:

140%

Step-by-step explanation:

So a fraction can be expressed as: [tex]\frac{a}{b}[/tex] and if a number decreases by x%, the new number is (100-x)% the original value. So since the numerator decreases by 30%, it's not 70% the original value, and it's very similar with the denominator, with it only retaining 50% of it's original value. This gives you the formula: [tex]\frac{0.70a}{0.50b}[/tex]. You can rewrite the fraction as: [tex]\frac{1.4 * 0.5 * a}{0.5 * b}[/tex] in doing so it's easy to see that you can cancel out the 0.5 and get: [tex]1.4\frac{a}{b}[/tex]. This means the value is increasing by 1.4 or 140%

Answer:

140%

Step-by-step explanation:

since the numerator decreases by 30%, it isnt 70% the original value, This gives a formula: . You can rewrite the fraction as so, in doing so it's easy to see that you can cancel out the 0.5 and get: . This means the value is increasing by 1.4 or 140%.

Simplify, state all restrictions.

Answers

The simplified expression is [tex]\frac{1 - x - y}{x + y}[/tex]and the restriction is [tex]y \ne -x[/tex]

How to simplify the expression?

The expression is given as:

[tex]\frac{x - y}{4x^2 - 8xy + 3y^2} \div \frac{2x + y}{2x - 3y} \times \frac{4x^2 - y^2}{x^2 - y^2} -1[/tex]

Express x^2 - y^2 as (x + y)(x - y) and factorize other expressions

[tex]\frac{x - y}{(2x - y)(2x - 3y)} \div \frac{2x + y}{2x - 3y} \times \frac{4x^2 - y^2}{(x - y)(x + y)} -1[/tex]

Rewrite the expression as products

[tex]\frac{x - y}{(2x - y)(2x - 3y)} \times \frac{2x - 3y}{2x + y} \times \frac{4x^2 - y^2}{(x - y)(x + y)} -1[/tex]

Cancel out the common factors

[tex]\frac{1}{(2x - y)} \times \frac{1}{2x + y} \times \frac{4x^2 - y^2}{(x + y)} -1[/tex]

Express 4x^2 - y^2 as (2x - y)(2x + y)

[tex]\frac{1}{(2x - y)} \times \frac{1}{2x + y} \times \frac{(2x - y)(2x + y)}{(x + y)} -1[/tex]

Cancel out the common factors

[tex]\frac{1}{x + y} -1[/tex]

Take the LCM

[tex]\frac{1 - x - y}{x + y}[/tex]

Hence, the simplified expression is [tex]\frac{1 - x - y}{x + y}[/tex]and the restriction is [tex]y \ne -x[/tex]

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in which quadrant will you find the point (-2,-2)

Answers

⊱________________________________________________________⊰

Answer:

Quadrant 3

Step-by-step explanation:

Points with both negative co-ordinates are found in the third quadrant.

[tex]\boxed{\begin{tabular}{c | 1} \sf{~~Quadrant 2 (-x,y)~~& Quadrant 1~ (x,y)~~} \\ \\\\\\\\\\\\ \cline{1-2} \sf{Quadrant \ 3 (-x,-y) \ & Quadrant \ 4 (x,-y)} \\\\\\\ \\\\\\\\\\\end{tabular}}[/tex]

done !!

⊱_____________________________________________________⊰

The graphs below have the same shape. What is the equation of the blue
graph?
G(x) =

F(x)=x3
-6
O A. G(x) = (x+1)³
OB. G(x) = x³-1
OC. G(x) = (x-1)³
OD. G(x)= x³ +1
GX) = ?

Answers

Using translation concepts, it is found that the equation of the blue graph is given by:

C. G(x) = (x - 1)³.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the function G(x) is a shift of one unit right of F(x) = x³, hence it's equation is:

G(x) = F(x - 1) = (x - 1)³.

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Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5​

Answers

Answer:

B = 1.875

Step-by-step explanation:

given that A varies directly as B and inversely as C then the equation relating them is

A = [tex]\frac{kB}{C}[/tex] ← k is the constant of variation

to find k use the condition A = 12 when B = 3 and C = 2 , then

12 = [tex]\frac{3k}{2}[/tex] ( multiply both sides by 2 to clear the fraction )

24 = 3k ( divide both sides by 3 )

8 = k

A = [tex]\frac{8B}{C}[/tex] ← equation of variation

when A = 10 and C = 1.5 , then

10 = [tex]\frac{8B}{1.5}[/tex] ( multiply both sides by 1.5 )

15 = 8B ( divide both sides by 8 )

1.875 = B

The ratio of the area of the shaded part to the unshaded part is______.

Answers

Answer: 1 : 3

Shaded area:

[tex]\Longrightarrow \sf Length \ \times \ Breadth = \dfrac{x}{4} \ \times \ x \ = \ \dfrac{1}{4}x^2[/tex]

Unshaded area:

[tex]\Longrightarrow \sf Length \ \times \ Breadth = (x - \dfrac{x}{4}) \ \times \ x \ = \ \dfrac{3}{4}x^2[/tex]

Ratio of shaded to unshaded:

[tex]\Longrightarrow \sf \dfrac{1}{4} x^2 \ : \ \dfrac{3}{4} x^2 = 1 : 3 \quad (simplified)[/tex]

Find the LCM of 10 and 25?

Answers

Answer is 50
Reason

LCM of 10 and 25 is the smallest number among all common multiples of 10 and 25. The first few multiples of 10 and 25 are (10, 20, 30, 40, 50, 60, . . . ) and (25, 50, 75, 100, 125, 150, . . . )
50 is the least common multiple
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He had volunteered for the job because he thought she would be less nervous with him than with their mom, but so far, he wasn't sure he was making any difference."Slow down, your turn is coming up here," he said, looking ahead."I know, I know," she replied, "I've been here before rememberthe last time I flunked."Justin was pretty sure if he had let her miss the turn, things would only have deteriorated further, but he wasn't sure he was fond of being the scapegoat for Becky's anxiety."Listen, you need to take a few deep breaths," he said, hoping he could help her at least relax a bit. "Being nervous won't help you with the three-point turn or anything else you have to do. Hey, did you just take that turn without your turn signal on?" This was going to be harder than he thought."Stop yelling at me," Becky replied, clearly frustrated, "I can't concentrate.""Look, you need to stop and get yourself together here," Justin started. "It is not just about passing the driving test. I don't want to get in an accident, so pull into that parking lot."Becky drove into the office building's parking lot where Justin was pointing. Justin knew they were less than a mile from the licensing office, and if she continued in this condition, he'd be having this same discussion three months from now when she tried the test again for the third time."You need to get a grip," he started after she put the car in park, "because you have studied and practiced driving all year. You know this stuff inside and out, backwards and forwards. What are you so nervous about?""I don't know, I don't know," Becky wailed, resting her head on the steering wheel. "I just get so tired of failing."Listening quietly as Becky sobbed, Justin realized this was about much more than a driving test. He also knew if he didn't find a way to help Becky things would just get worse.Chapter 2Justin took a deep breath and collected his thoughts. Becky was an unbelievably consistent straight-A student. It was Justin who got the bad grades in school, and Justin who had to repeat every math class he'd ever taken. It was Justin who wished he could get the grades Becky got. Some things came easier for Justin: He was athletic, handy with tools, and good at making the best of whatever life threw at him. Mom called him her "lemons into lemonade" kid. But for the most part, Becky succeeded easily, whereas Justin had to work and work to just get a passing grade.Rather than having Becky catalogue all the things she supposedly "failed" at, Justin decided to try an alternative approach, one that wouldn't remind him of all the ways he had failed."Okay, Becky, let's assume for a moment you fail this test again. What is the worst thing that could happen?" he asked."I would be the oldest kid at school without a license and be humiliated," she replied. Justin thought he heard a bit of panic in her voice but continued with his plan."Yes, but won't we still have to drive to school together for at least one more year anyway?" he asked."Yes, but..." she started."And who will know, if you don't tell anyone except your friends, that you don't have your license? You know Mom can't afford another car just for you, right?""Yes," she said quietly."So what difference does it make, really," he said. "Another three months to wait in the grand scheme of your life doesn't seem like all that long, right?""I suppose not," she said.Justin could tell she was breathing more slowly now. "Besides," he said, "I would miss all the practice driving with you," and for good measure he reached over and pinched her arm."Ow," she said, hitting back at him, "that hurt.""So let's go do this, okay?"Okay," she said. Becky cranked up the car, backed slowly out of the parking spot and drove up to the parking lot's exit. Justin noticed, as they waited for the traffic to clear, that she had remembered the turn signal.Use Chapters 1 and 2 to answer the following question:Which line from the text most clearly creates the climax of the story? "I don't know, I don't know," Becky wailed, resting her head on the steering wheel. "I just get so tired of failing." "Okay, Becky, let's assume for a moment you fail this test again. What is the worst thing that could happen?" "Yes, but won't we still have to drive to school together for at least one more year anyway?" he asked. "Another three months to wait in the grand scheme of your life doesn't seem like all that long, right?" Which two words in this excerpt from The Count of Monte Cristo can be used as synonyms to determine the meaning of the word grotto? except cavern When is it OK for large corporations to balance people's health in relations to their own profits?