What is the measure of the corresponding central angle for XY in radians?

What Is The Measure Of The Corresponding Central Angle For XY In Radians?

Answers

Answer 1

Answer:

4 radians

Step-by-step explanation:

Arc Length (Radians) = rθ

Given Arc Length XY  = 40cm and radius, r = 10cm,

we will substitute these 2 values into the formula to find θ.

(10)θ  = 40

θ = 40 / 10

= 4 radians

Answer 2

Answer:

A

Step-by-step explanation:

the length of arc XY is calculated as

arc = circumference of circle × fraction of circle

      = 2πr × [tex]\frac{0}{2\pi }[/tex] ( r is radius and Θ is central angle )

here arc = 40 and r = 10 , then

2π × 10 ×[tex]\frac{0}{2\pi }[/tex] = 40

20π × [tex]\frac{0}{2\pi }[/tex] = 40 ( cancel 20π and 2π by 2π )

10Θ = 40 ( divide both sides by 10 )

Θ = 4 radians


Related Questions

The product of two rational numbers is 3/8. If one of the number is 2/5 , find the other number.

Answers

Answer:

if i subtract 3/8 with 2/5 i get 1/40

Step-by-step explanation:

i dont know if this is correct but it seems so

Step-by-step explanation:

—Let the unknown number is x, so we can write the equation like below.

[tex] \frac{2}{5} \times x = \frac{3}{8} [/tex]

[tex] \: [/tex]

—Find x.

[tex] \frac{2}{5} \times x = \frac{3}{8} [/tex]

[tex]x = \frac{3}{8} \div \frac{2}{5} [/tex]

[tex]x = \frac{3}{8} \times \frac{5}{2} [/tex]

[tex]x = \frac{15}{16} [/tex]

[tex] \: [/tex]

—Let's prove that it's true.

[tex] \frac{2}{5} \times x = \frac{3}{8} [/tex]

[tex] \frac{2}{5} \times \frac{15}{16} = \frac{3}{8} [/tex]

[tex] \frac{30}{80} = \frac{3}{8} [/tex]

[tex] \frac{30 \div 10}{80 \div 10} = \frac{3}{8} [/tex]

[tex] \frac{3}{8} = \frac{3}{8} \: \: \text{proved}[/tex]

[tex] \: [/tex]

So, the other number or the value of x is [tex]\frac{15}{16}[/tex]

? Question
Each set of ordered pairs represents two points on a line. Match each set of ordered pairs with the description of the line
they are on.
Tiles
(-5,-3) and (-5,3) (-7,-1) and (-1,-7)
(-6,-2) and (6,-2)

Answers

The correct matching of the ordered pairs and the line they are on are:

(-5,-3) and (-5,3) - No slope. (-7,-1) and (-1,-7) - Slope = -1(-6,-2) and (6,-2) - No slope

What lines do the ordered pairs belong to?

The slope of the first pair is:

= (3 - (-3)) / (-5 - (-5))

= No slope as slope is 0

The slope of the second pair is:

= (-7 - (-1)) / (-1 - (-7))

= -1

The slope for the third pair is:

= (-2 - (-2)) / (6 - (-6))

= 0 or No slope

Rest of the question is:

slope = -1

No slope

No slope

slope = 2

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Answer: vertical line- (-5,-3) and (-5,3)

neither- (-7,1) and (-1,-7)

horizontal line- (-6,-2) and (6,-2)

hopefully this helps

Step-by-step explanation:

What is the probability that a simple random sample of 45 unemployed individuals will provide a sample mean within 1 week of the population mean

Answers

The probability that a simple random sample of 45 unemployed individuals will provide is 0.7372

Here, μ = 17.5, σ = 0.8944, x1 = 16.5 and x2 = 18.5.

We need to compute P(16.5<= X <= 18.5).

The corresponding z-value is calculated using Central Limit Theorem.

z = (x - μ)/σ

z1 ⇒ (16.5 - 17.5)/0.8944 = -1.12

z2 ⇒ (18.5 - 17.5)/0.8944 = 1.12

Therefore, we get

P(16.5 <= X <= 18.5) = P((18.5 - 17.5)/0.8944) <= z <= (18.5 - 17.5)/0.8944)

⇒ P(-1.12 <= z <= 1.12) = P(z <= 1.12) - P(z <= -1.12)

⇒ 0.8686 - 0.1314 = 0.7372

The principal limit theorem states that if you have a population with imply μ and trendy deviation σ and take sufficiently huge random samples from the populace with alternative, then the distribution of the pattern method may be about usually distributed.

The relevant limit theorem (CLT) states that the distribution of pattern manner approximates a normal distribution as the pattern size gets larger, regardless of the population's distribution. sample sizes identical to or extra than 30 are often considered enough for the CLT to preserve.

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Does the parabola open up or down?

What would the sign of the second differences be?

What are the coordinates of the vertex?

What is the equation of the axis of symmetry?

What is the optimal value?

Is the optimal value considered a max or min?

What are the x-intercepts?

What is the y-intercept?

Answers

The parabola opens down, the sign of the second difference is positive and the equation of the axis of symmetry is x = 1

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have given a graph of a parabola.

From the graph:

The parabola opens down.

The sign of the second difference is positive.

The coordinates of the vertex is at (1, 3)

The equation of the axis of symmetry is x = 1

The optimal value of the parabola is at y = 3

The optimal value is considered a max value.

The x-intercepts is at (-1, 0) and (3, 0)

The y-intercept is at (0, 5/2)

Thus, the parabola opens down, the sign of the second difference is positive and the equation of the axis of symmetry is x = 1

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Scientist released 8 rabbits into a new habitat in a year 0.each year, there were twice as many rabbits as the year before.

Answers

The question is incomplete. Below you will find the missing part of the question.

How many rabbits were there after x years? Write a function to represent this scenario.

[tex]8(2)^{x}[/tex] rabbits were there after x years.

The function form is [tex]f(x)=8(2)^{x}[/tex]

The number of rabbits released each year is 8.

During 0 year, there will be 8 rabbits;

During year 1, the number of rabbits will be 8+8 = 16, i.e. 8×2¹ = 16

Similarly, during the year 2, the number of rabbits will be  16+16 i.e. 8×2² = 32

So, according to the pattern we can say that the function would be  

[tex]f(x)=8(2)^{x}[/tex]

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Solve the inequality c−32≥0 and write the solution in interval notation.

Answers

Answer:

[32, ∞]

Step-by-step explanation:

c - 32 ≥ 0 can be rewritten as c ≥ 32 (adding 32 on both sides)
So for any value of between 32 and infinity both inclusive is a solution

1) a jewelry store sells gold and platinum
rings. each ring is available in ten styles
and is fitted with one of nine gemstones.
a) 187 b) 265
c) 180
d) 195
find the number of possible outcomes
un wd

Answers

The number of possible outcomes are 180.

How do you find the number of possible outcomes?

To find the total number of possible outcomes for two or more events, multiply the number of outcomes for each event together.

Given that,

We have two types of rings Gold and platinum

For this event (material) we have 2 outcomes.

Each ring is available in 10 style

For this event (style) we have 10 outcomes.

Each ring is fitted with 9 gemstones

For this event (gem) we have 9 outcomes.

Total number of possible outcomes  = 2×10×9

                                                            = 180

Hence, The number of possible outcomes are 180.

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Which steps would be used to solve the equation? Check all that apply. 2 and two-thirds + r = 8

Answers

The correct steps are given below:-

a) Subtract 2 and two-thirds from both sides of the equation

b) 8 minus 2 and two-thirds = 5 and one-third

c) Substitute the value for r to check the solution.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression will be solved by using the following steps:-

[tex]2 \dfrac{2}{3}[/tex]  + r   = 8

Subtract [tex]2 \dfrac{2}{3}[/tex]  from each side

[tex]2 \dfrac{2}{3}[/tex]    + r  - [tex]2 \dfrac{2}{3}[/tex]     = 8 - [tex]2 \dfrac{2}{3}[/tex]  

r = 5 1/3

Check the solution,

[tex]2 \dfrac{2}{3}[/tex]   + [tex]5 \dfrac{1}{3}[/tex] =8

8 = 8

The complete question is given below:-

Which steps would be used to solve the equation? Check all that apply. 2 and two-thirds + r = 8 Subtract 2 and two-thirds from both sides of the equation. Add 2 and two-thirds to both sides of the equation. 8 minus 2 and two-thirds = 5 and one-third 8 + 2 and two-thirds = 10 and two-thirds Substitute the value for r to check the solution.

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Answer:

A,C,E >:3.

your welcome!

What is the solution of log2x + 6^8 = 3?

Group of answer choices

x = −2

x = 2

x = −3

x = 3

Answers

The value of x in the equation [tex]log_{2x + 6}8=3[/tex] gives that x = -2.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

[tex]log_{2x + 6}8=3\\\\applying\ the\ logarithm\ rule:\\\\(2x+6)^3=8\\\\8x^3+72x^2+216+208=0\\\\x=-2[/tex]

The value of x in the equation [tex]log_{2x + 6}8=3[/tex] gives that x = -2.

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Plot all ordered pairs for the values in the domain D: (-8, -4, 0, 2, 6)

Answers

All ordered pairs for the values in the domain will be (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4).

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space.

The function is given below.

y = (1/2) x + 1

Then the domain is D: (-8, -4, 0, 2, 6)

Then the ordered pair will be

For x = -8

y = (1/2)(-8) + 1

y = -3

For x = -4

y = (1/2)(-4) + 1

y = -1

For x = 0

y = (1/2)(0) + 1

y = 1

For x = 2

y = (1/2)(2) + 1

y = 2

For x = 6

y = (1/2)(6) + 1

y = 4

All ordered pairs for the values in the domain will be (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4).

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An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.


What is the largest possible volume of the box?

Answers

The largest possible volume of the given box is; 96.28 ft³

How to maximize volume of a box?

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

b = 5.77 ft

Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

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Mr brown shares with the class that 70 percent of the students got an a on the English quiz if Mr brown has 100 student what percent of the students did not get an a

Answers

The other 30 percent of the class

Lizette wanted to see if it would be possible to use a little less materials in a tea infuser but still not be required to be at full capacity. Her rectangular pyramidal tea infuser would be 7 cm high, 3 cm long and 1.5 cm wide. The tea infuser from the example, was the same except 7.9 cm high and was filled to 80% capacity.

Would these dimensions work, if so to what percent would Lizette's infusers have to be filled to use the same amount of tea?

Answers

The percentage that the infuser will have to be filled to use the same amount of tea will be 90.23%.

How to calculate the percentage?

The infuser for Lizeete is 7 cm high, 3 cm long and 1.5 cm wide. The volume will be:

= 7 × 3 × 1.5

= 31.5cm³

The tea infuser from the example, was the same except 7.9 cm high. Therefore, the volume will be:

= 7.9 × 3 × 1.5

= 35.5

Since it was filed to 80%, this will be:

= 80% × 35.5

= 31.5cm³

Therefore, the dimensions will work and the percentage to use the same amount of tea will be:

= 28.44/31.5 × 100

= 90.23%

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Let's say you rolled a dice twice, and you got at least a 6. What is the probability that the sum of both rolls is at least 9

Answers

The probability that the sum of both rolls is at least 9 is 2/36.

Probability is the chance that a given event will occur.  the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

Given:

Total sample spaces: 36.

Number on one dice: 6

For sum of both rolls to be 9 , the only possible way is (6,3)(3,6)

Using probability formula,

Thus The probability that the sum of both rolls is at least 9 is 2/36.

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Joe
,
sarah
and
katie
share a sum of money in the ratio
5
:
8
:
4
. If
sarah
receives $
32
more than
katie
, find the amount of money that is being shared.

Answers

Answer:

muji chus mero lado madeaghw you mother machinery

Answer:

After finding all the amount add them and your amount shared will be dollar 136

Please Help Me Asap I Need Units Too

Answers

Hello and Good Morning/Afternoon

Let's take this problem step by step:

To find the rate of change is essentially like finding a line's slope:

 ⇒ the x-values are the number of sodas

 ⇒ the y-values are the total costs

              ⇒ choose two sets of coordinates and find the slope

Let's put that into action

Choose any two points

        ⇒ (24, 18)

        ⇒ (28, 21)

Calculate Slope

        [tex]Rate_.of_.change = \frac{21-18}{28-24} =\frac{3}{4}[/tex]

Since the rate of change is total cost over number of sodas

 ⇒ unit is 'total cost/number of sodas'

Answer: 3/4 total cost/number of sodas

Hope that helps!

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What is the decimal expansion of the following fraction? 1/10

Answers

Answer:

0.1

Step-by-step explanation:

break 1 into 10 parts, and take one part: hence 0.1

Answer:

0.1

Step-by-step explanation:

A bag contains 2 gold marbles, 9 silver marbles, and 24 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1. What is your expected value if you play this game

Answers

The expected value on playing this game is -5/36.

Given: 2 gold marbles, 9 silver marbles, and 24 black marbles.If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1.

To find: Expected value on playing the game

Chance of occurrence of  gold = 1/36

Chance of occurrence of silver = 9/36

Chance of occurrence of  black = 26/36

On multiplying the given probability of occurence with the amount you would lose or win

we get,

1/36 * 3 + 9/36 * 2 - 26/36 * 1

3/36 + 18/36 - 26/36

=$ -5/36

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f CA = 8, what is C'A'?
10 units
12 units
16 units
20 units

Answers

Segment AC was dilated by a scale factor of 2 to form A'C' measuring 16  units

What is a transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.

Dilation is the increase or decrease in the size of a figure.

Let us assume that segment AC was dilated by a scale factor of 2 to form C'A', hence:

A'C' = 2 * AC = 2 * 8 = 16 units

Segment AC was dilated by a scale factor of 2 to form A'C' measuring 16  units

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Consider the polynomial function h(x)= -7x^6+3x^4-5x^2 

Answers

The end behavior of the function is [tex]\mathrm{as}\:x\to \:+\infty \:,\:h\left(x\right)\to \:-\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:h\left(x\right)\to \:-\infty \:[/tex]

How to determine the end behavior?

The function is given as:

[tex]h(x)= -7x^6+3x^4-5x^2[/tex]

Next, we plot the graph of the function (see attachment)

From the attached graph, we can see that:

The function approaches negative infinity, irrespective of the direction of the x value

Hence, the end behavior of the function is [tex]\mathrm{as}\:x\to \:+\infty \:,\:h\left(x\right)\to \:-\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:h\left(x\right)\to \:-\infty \:[/tex]

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What is the first quartile of the data set: 11, 24, 13, 18, 16, 21, 23, and 29?

Answers

Answer: 15, 15, 16, 21, 23, 29

Step-by-step explanation:

Which phrases describe the graph of f(x)=|x|? Check all that apply

Answers

Take a look at the graph of [tex]f(x)=|x|[/tex], also known as the absolute value of [tex]x[/tex].

As shown by the graph attached, it is V-shaped, opens up, and is symmetric with respect to the vertical/y-axis.

Find x.
02
3√2
04√3
02√3

Answers

Answer:

x

Step-by-step explanation:

2^3

In spherical geometry, lines are called
OA. line segments
OB. radii
O c. diameters
O D. great circles

Answers

Answer:

Diameters  

Step-by-step explanation:

In spherical geometry, lines are called diameters.

Answer:

Diameter

Step-by-step explanation:

In spherical geometry, lines are called diameter .

Also this makes sense the most .

Use the given graph to determine the limit, if it exists. (4 points)
A coordinate graph is shown with an upward sloped line crossing the y axis at the origin that ends at the open point 3, 1, a closed point at 3, 7, and a horizontal line starting at the open point 3, 3.
Find limit as x approaches three from the right of f of x.

Answers

The limit as x approaches three from the right of f(x)  is 3

What is the Limit of a function ?

The value a function approaches when the variable approaches its limit.

A graph is given which shows a piece  wise function ,

As when the limit approaches from the right the function can be seen approaching 3 , it is not 3 at 3 but approaching to 3

The right hand lim x--> 3 f(x)  approaches  3 .

Therefore , limit as x approaches three from the right of f(x)  is 3

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A girl ran from her home to a store at the rate of 6 mph, and she walked back home at the rate of 4 mph. if it took 15 minutes for the round trip, how far away is the home from the store?

Answers

Home is 0.6 miles away from the store

How to solve such time related questions?

The key concept for solving such questions is the relationship between speed, distance and time.

The relationship between them is Distance = Speed x Time

Given:-

Total time taken by girl to complete the trip = 15 minutes = [tex]\frac{1}{4}[/tex] hours

Speed while riding going = 6 miles per hour

Speed while coming back = 4 miles per hour

Total time taken by girl  =

Time taken while going +   Time taken while coming back      - (1)

  Let x be distance from home to store

       [tex]\frac{x}{6}[/tex] =  Time taken while going

[tex]\frac{x}{4}[/tex] = Time taken while coming back

    Substituting in (1) we get

      [tex]\frac{1}{4} = \frac{x}{6} + \frac{x}{4}[/tex]

      [tex]\frac{1}{4} = \frac{2x + 3x}{12}[/tex]

       [tex]\frac{1}{4} = \frac{5x}{12}[/tex]

      [tex]x= \frac{12}{20}[/tex]

    x = 0.6 miles

Thus home is 0.6 miles away from the store

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Volume=
Help me please, thanks

Answers

Answer: [tex]144\pi[/tex]

Step-by-step explanation:

The area of the base is [tex]36\pi[/tex].

If we consider the right triangle, by the Pythagorean theorem, the unknown leg, which has a length of 4, is the height.

So, the volume is [tex]144\pi[/tex].

The length of a rectangle is a centimeters, and the width of this rectangle is b centimeters. Write an expression for the area of the rectangle. "a" and "b" are variables.

Answers

Answer:

Area = ab

Step-by-step explanation:

Area is length × width, so fill in a for the length and b for the width. Multiply a and b together.

A = a×b

A = ab

Solve the following using distributive property:
9(x+3)=4x-3​

Answers

Answer:

x = -6

Explanation:

⇒ 9(x + 3) = 4x - 3​

apply distributive method: a(b + c) = ab + ac

⇒ 9(x) + 9(3) = 4x - 3

multiply variables

⇒ 9x + 27 = 4x - 3

collect like terms

⇒ 9x - 4x = -3 - 27

subtract like terms

⇒ 5x = -30

divide both sides by 5

⇒ x = -6

Answer:

x = -6

Step-by-step explanation:

distribute 9(x+3) = 9x+27

9x+27 = 4x-3 subtract -27 and -4x on each side

9x-4x = -3-27 combine like terms

5x = -30 divide by 5

x = -6

Question 1 of 10
Which number sentence below matches this word problem?
Jen and Marcus got 15 miles up river before they ran out of gas. They floated
9 miles back down river before they reached the shore. How far did they get?
A. 135÷9 = 15
B. 15-9=6
C. 15-6=9
D. 9+15=24

Answers

Answer:

They get 15×9=135

135÷15=9 is your answer

Other Questions
I need help with my homework The square of the product of 6 and a number. sin^6 theta - cos^6 theta = ( 1-2cos^2 theta) (1- sin^2 theta .cos^2 theta ) e 1:How is this source a reliableA source of evidence for learningabout Muhammad?What arwith thi 1 2 3 4 5 6 7 8 9 10TIME REMAINING58:17Which graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of the rice?On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5).On a coordinate plane, blue diamonds appear at points (0, 0), (1, 2), (2, 4).On a coordinate plane, a straight line with a positive slope begins at point (negative 2.5, negative 5), crosses the x- and y-axis at point (0, 0), and ends at point (2.5, 5).On a coordinate plane, blue diamonds appear at points (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4). In a sale, the football club shop reduced the price of the football shirts to $23.80.An error was made when working out this sale price.The price was reduced by 30% instead of 20%.Calculate the correct sale price for the football shirt. In a plane, if line is perpendicular to line m and _____, then n. In 1996, what did the 15,000 seat knickerbocker arena in albany change its name to? Which words from the text best support the narrators heated tone? wonder, holy, and seriouslyfashion, Frappuccino, and hijabsadistic, masochistic, and snottycontemplating, covering, and parents I need to know the answer I got cancer and I fell tired and I need to do this and no one is helping me provide two more examples of relationship patterns found in mathematics and describe the pattern in each case Arrange the tasks for a bill to become a law in the appropriate order by typing the number in the right column. If you receive an enrollment process exception notice, your immediate action will be required in order to avoid any disciplinary actions, which may include___________________. -24b+4bCompute and Simplify. Why might a scientist want to disrupt the plasma membrane and how might they do this experimentally? f(x) = 7x + 1 - 8g(x) = -2Find (f - g)(x). A. (f-g)(x) = |7x - 5| B. (f-g)(x) = 7x - 7+2 C. (f-g)(x) = |7x| - 5 D. (f-g)(x) = |7x+1-6 10. Townsend Realty purchased the Glenview Street property for $140,000 and received a 40%discount off the original price along with an additional 20% off the discounted price forpurchasing the property in cash. Which of the following best approximates the original price,in dollars, of the Glenview Street property?()(A) $350,000(B) $291,70011. Intersecting lines r, s, and t are shown below.(C) $233,300(D) $175,000 Wile he was studying Matt was suddenly overwhelmed by feelings on intense apprehension. For several minutes he felt so agitated that he could not catch his breath. Matt was most likely suffering from a(n) Read the poem"Ashes of Life" by Edna St. Vincent MillayLove has gone and left me and the days are all alkeEat I must, and sleep I will-and would that night were herelBut ahl-to be awake and hear the slow hours strikelWould that it were day again! - -with twilight neartLove has gone and left me and I don't know what to doThis or that or what you will is all the same to meBut all the things that I begin I leave before I'm through -There's little use in anything as far as I can see.Love has gone and left me, and the neighbors knock andborrowAnd life goes on forever like the gnawing of a mouse, -And to-morrow and to-morrow and to-morrow and to-morrowThere's this little street and this little house.Kont: Lessons 28Which statement best describes the speaker in the poem?She is filled with anger over the loss of love in herMo.She manages to find strength and comfort in thesupport of others.She is despondent and views e as monotonous andjoylessShe goes from sad to hopeful over the course of thepoom The partial pressure of oxygen in the alveoli is _______ mm Hg, while the partial pressure of carbon dioxide in the alveoli is _______ mm Hg.