Select the correct answer.
Which number line represents the solution to |x - 5] <3?

Select The Correct Answer.Which Number Line Represents The Solution To |x - 5] &lt;3?

Answers

Answer 1

Answer:

A.

Step-by-step explanation:

since we are using the absolute value this means the result to be between 0 and 3.

the difference to C. is that the endpoints are not included (empty dots). that is correct, because the inequality uses the "<" sign. being equal to 3 is not valid.

but any real number higher than 2 and lower than 8 will provide a valid solution.

the higher or lower numbers used in B. and D. will not create anything between 0 and 3.

Answer 2

Answer:

A

Step-by-step explanation:


Related Questions

as we wrap this up for stat 3113, recall that in class, we talked about how the statistics and could be calculated from a sample of data but that the parameters and could not be calculated. why is this?

Answers

Parameters are values that describe the entire population, while statistics are values that describe only a sample of the population. Since there is no way to know the exact values of the parameters, they cannot be calculated from a sample of data.

Parameters are values that describe the characteristics of the entire population. They are used to make inferences about the population and provide a basis for making decisions. On the other hand, statistics are values that describe only a sample of the population. They are used to estimate the parameters of the population. Since it is not possible to know the exact values of the parameters, they cannot be calculated from a sample of data. Instead, we use statistics to estimate the parameters. This is why it is important to use a representative sample when collecting data, as it provides a better estimate for the population parameters

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what is 52,437 rounded to the nearest hundred.

Answers

Answer: 52,000

Step-by-step explanation: Because we are rounding to the nearest hundred, we only need to focus on the #'s 4, 3, and 7 in 52,437. So, 3 is less than 5, so we have to round down to 3 (stays the same) and 4 is less than 5 so, we round down to 4 (also stays the same), and since 7 is greater than 5, we can round up to 440. But, 440 is still less than 500, so your final answer should be 52,000.

the distance between parallel lines 4y=3x-1 and 8y=6x-7​

Answers

Answer: The distance between the two parallel lines is 11/12.

Step-by-step explanation:

The distance between two parallel lines can be found by calculating the difference between the y-intercepts of the two lines. In this case, the y-intercept of the first line is (-1/4,0), and the y-intercept of the second line is (-7/6,0). The difference between these y-intercepts is (-1/4 - (-7/6)) = 11/12. Therefore, the distance between the two parallel lines is 11/12.

For funsies, find what w equals to.

−4​w + 2 = 14

Answers

[tex]-4w+ 2 = 14[/tex]

Subtract 2 from both sides:

[tex]-4w+2-2=14-2[/tex]

[tex]-4w=12[/tex]

Divide both sides by -4:

[tex]\dfrac{-4w}{-4} =\dfrac{12}{-4}[/tex]

[tex]= \fbox{w = -3}[/tex]

Answer:

w = -3

Step-by-step explanation:

-4w + 2 = 14

-4w + 2 - 2 = 14 - 2 (Subtract 2 from both sides)

-4w = 12

-4w/-4 = 12/-4 (Divide -4 from both sides)

w = -3

Please help me answer this question

Answers

Step-by-step explanation:

photo is not clear post again.

Write in standard notation. 4 x 10^0

Answers

Answer:

0.4 x 10^-1

Step-by-step explanation:

4 x 10^0

=> 4

=> 0.4 x 10^-1

Point​ D, E, and F are midpoint of the ide of ΔABC. The perpendicular biector of AB i​ m, and the perpendicular biector of BC i n. Line m and n interect at T. If TA=5. 9​, what i​ TC?

Answers

The value of TC = 5.9

According to the given figure of the triangle ABC, (refer to the attached figure)

The length of perpendicular bisector AC is = m

The length of perpendicular bisector BC is = n

The point at which line m and line n are intersecting = T

Given the value of TA = 5.9

According to the corner theorem.

AC = CF

So, ΔTFA ≅ ΔTFC

TA = TC = 5.9

Therefore, The value of TC = 5.9

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The price of an airline ticket from New Orleans to Boston increased to $550. This is a 30% increase.

To the nearest cent, what is the old fare?

A $397.67
B $423.08
C $412.14
D $501.40

Answers

The value of the old fare to the nearest cent will be $423.08. Then the correct option is B.

What is the percentage?

Any product's quantity is presented as if it were a percentage of one hundred. The proportion can be written as 1/4 of 100. One hundred percent is symbolized by the symbol %. The sign for it is the letter "%".

The cost of an aircraft ticket from New Orleans to Boston expanded to $550. This is a 30% expansion.

Let 'x' be the old fare. Then the equation is given as,

(1 + 0.30) x = $550

Simplify the equation, then we have

(1 + 0.30) x = $550

1.30 x = $550

x = $550 / 1.30

x = $423.08

The worth of the old admission to the closest penny will be $423.08. Then the right choice is B.

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solve the equations using elimination -8x+y=-8; 6x-y=6

Answers

Answer:

x = 1          y = 0

Step-by-step explanation:

-8x + y = -8

6x - y = 6

y have the same coefficient but one is negative and the other is positive therefore we add both the equations

we get:

-2x = -2

divide both sides by -2

x = 1

now as we have the value of x we can input this into any one of the starting equations

-8x + y =-8

-8(1) +y = -8

-8 + y = -8

add 8 to both sides

y = 0

Answer:

(1, 0 )

Step-by-step explanation:

- 8x + y = - 8 → (1)

6x - y = 6 → (2)

adding (1) and (2) term by term will eliminate y

- 2x + 0 = - 2

- 2x = - 2 ( divide both sides by - 2 )

x = 1

substitute x = 1 into either of the 2 equations and solve for y

substituting into (1)

- 8(1) + y = - 8

- 8 + y = - 8 ( add 8 to both sides )

y = 0

solution is (1, 0 )

a street light is mounted at the top of a 15-foot tall pole. a man 6 feet tall walks away from the pole with a speed of 5 ft/sec along a straight path. how fast is the tip of his shadow moving when he is 40 feet from the pole?

Answers

The tip of man's shadow moving with speed of 25/3 ft/sec, when he is 40 feet from the pole.

We have, height of street light on pole,

AB = 15ft.

Height of man , BC = 6 ft.

Speed of man walks away from the pole.

= 5 ft/sec

This problem is look like a time rate problem , Let us consider x is the distance from the man to the pole, and y is the distance from the tip of the man's shadow to the pole, i.e,

length of Shadow, CE =( y -x) ft

We assume the man and pole are standing straight up, which means the 2 triangles are similar. By similarity of triangles, (y − x)/y = 6/15

=> 15(y-x) = 6y

=> 15y - 15x = 6y

=> 15y - 6y = 15x

=> 9y = 15x

=> y = (15/9)x = (5/3)x

differentiate the above equation with respect to t or time.

dy/dt = (5/3)dx/dt

We know that, dx/dt = 5 ft/sec because the man is walking that speed away from the pole. We want to calculate dy/dt, how fast the tip of the shadow is moving when y = 40 feet

dy/dt = (5/3) (5) = 25/3 ft/sec.

We see actually, the man's distance from the pole doesn't matter since only his speed affects how fast his shadow moves. Hence, the tip of the shadow is moving with speed of 25/3 ft/sec.

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Is the line perpendicular?
The situation is based on football. One player starts a couple of yards in the endzone while the other starts at the 8-9 yard line. The player in the endzone almost scores when he is tracked down by the guy on the 8-9 yard line. So does the starting position of these players form a perpendicular line?

Answers

Yes, the starting position of these players form a perpendicular line.

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Using Trigonometry

sin [tex]\theta[/tex] = 33.33/100

sin [tex]\theta[/tex] = 0.3333

[tex]\theta[/tex] = [tex]sin^{-1}[/tex] (0.3333)

[tex]\theta[/tex] = 19.469

cos 19.469 = B/ 100

0.9428 = B/ 100

B= 94.28

tan  [tex]\theta[/tex] = P/B

tan  [tex]\theta[/tex] = 94.28/ 33.33

[tex]\theta[/tex] = 70.5

Using Angle Sum property

< 3= 180 - (70.5 + 19.5)

<3 = 180 - 90

<3 = 90

Hence, they form perpendicular line.

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fifteen students are competing for 4 rotary scholarships, 1 in england, 1 in germany, 1 in brazil, and 1 in japan. in how many ways can the scholarships be awarded to different students?

Answers

The number of different ways of distributing the scholarships is 32,760.


consider the situation: fifteen students are competing for 4 Rotary scholarships.
consider each scholarship  is to be a position In which a student assigned.
This is a permutation problem as:
   

A) each student selected from the same set.  
b) No students can be selected twice.
c) The order in which students are assigned to three scholarships.  

Four students  are assigned in 4 activities For scholarships.

Activity A1: select a student from the set of 15 students for giving away the first scholarship.

Activity A2: select a student from remaining 14 students for giving away the second scholarship.

Activity A3: select a  student from remaining 13 students for giving away the third scholarship.

Activity A4: Select a student from remaining 12 students for giving away the forth scholarship.

According to multiplication rule of accounting the number of different arrangements is  A1 X A2 X A3 X A4  
15 X 14 X 13 X 12=32760  

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Can you help me with this

Answers

Answer:

X = add 25  Y =add 3 see 3 ,3+3=6  so i think y is 3

Step-by-step explanation:

The radius of the circle is 13cm. what is the circumference of the circle 3.14

Answers

Answer:

Step-by-step explanation:

81.64

Two sides of a triangle my 8 Ickes and 10 inches , respectively. Which one these is NOT a possible length for the third Sid elf a triangle please show ur work Bc I have too


A) 12 inches

B) 16 inches

C) 17inched

D)18 inches

Answers

18 inches is not a possible length for the third side of a triangle

What is the triangle inequality theorem?

The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the remaining side.

By triangle inequality theorem:

This theorem states that the sum of any two sides of a triangle must be greater than the third side.

As per the statement:

A triangle has two sides of lengths 8 inches and 10 inches.

Let the third side be x.

The Sum of the two sides is:

8 + 10 = 18

By triangle inequality theorem:

18 > x

or

x < 18

⇒ the length of the third side must be less than 18

From the given options:

Length of third sides 12, 16, and 17 which are less than 18.

the value which could the length of the third side be are: 12, 16, and 17.

Hence, 18 inches is not a possible length for the third side of a triangle

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Adurey is making a scale drawing of her drawing of her rectangular bedroom. on her drawing a 10-foot wall is 8 inches. Audrey wants to add a 7-foot wall to her scale drawing. Which equation can she use to find how long she should make the wall in her drawing

Answers

The length of the wall in her drawing is given as follows:

5.6 inches.

How to obtain the length of the wall in the drawing?

A scaling measurement represents the proportion of a total dimension, as it is the ratio between the length of the drawing with the actual length of the object.

On her drawing a 10-foot wall is 8 inches, hence the scale measurement for this problem is given as follows:

8 inches/10 feet = 0.8 inches per feet.

The scale means that each feet of an actual object is represented by a length of 0.8 inches on the drawing.

Audrey wants to add a 7 foot wall to the drawing, meaning that the length of the drawing is given as follows:

7 x 0.8 = 5.6 inches.

(applying the proportion found from the scale measurement).

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The regular price of a desk is $97.98. This week, it is on sale for $94.96 off. What is the sale price of the desk?

Answers

Answer:

$3.02

Step-by-step explanation:

You just subtract 97.98-94.96.

Answer:

3.02

Step-by-step explanation:

you subtract 94.96 from 97.98

33) A farmer needs to construct a bridge over a stream to connect fields for his sheep to graze. He will do most
of the planning on his own. Name some measurements that will need to be made by a professional engineer.

Answers

Answer:

There are several measurements that a professional engineer would need to make in order to design and construct a bridge over a stream for a farmer's sheep to graze. These measurements may include:

Width and depth of the stream: The engineer will need to determine the width and depth of the stream in order to determine the size and type of bridge that is needed.

Soil composition and stability: The engineer will need to assess the soil composition and stability of the area surrounding the stream in order to determine the foundation and support structure needed for the bridge.

Water flow: The engineer will need to measure the water flow in the stream in order to determine the load-bearing capacity of the bridge and to ensure that it is able to withstand the forces of the water.

Distance between the two banks: The engineer will need to measure the distance between the two banks of the stream in order to determine the length of the bridge and ensure that it is long enough to span the stream.

Height of the banks: The engineer will need to measure the height of the banks of the stream in order to determine the height of the bridge and ensure that it is tall enough to allow the sheep to pass under it.

two fair dice are rolled. The score is the difference between the two dice.

Answers

In a dice, there is a six side

Probability of occurring a score = 1/18

                                           = 1*2/18*2

                                               = 2/36

                                        =   preferred outcome/ Total outcome

Only 5 is a number that has occurred twice

The score that has a probability of occurring of 1/18 is 5.

The two dice having different values 30/36 = 5/6 (because the probability of the two dice having equal values is 6/36 = 1/6.)

The probability of the second dice being less than the first dice is the same as the probability of the first dice is less than the second dice: (5/6) / 2 = 5/12.

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for the capacitor network shown in (figure 1) , the potential difference across ab is 48 v .

Answers

The charge on the 150 nF capacitor is 3200 nF, the charge on the 120 nF capacitor is 3200 nF, the total energy stored in the network is [tex]76.8 \times 10^{-6} \mathrm{~J}[/tex], the energy stored in the 150 nF capacitor is [tex]34.1 \times 10^{-6} \mathrm{~J}[/tex], the energy stored in the 120 nF capacitor is [tex]42.67 \times 10^{-6} \mathrm{~J}[/tex], the potential difference across the 120 nF and 150 nF capacitor is 21.33V, 26.67 V.

The equivalent capacitance when the capacitors are connected in series is,

[tex]$$C_{\text {eq }}=\left(\frac{1}{C_1}+\frac{1}{C_2}\right)^{-1}=\left(\frac{1}{150 \mathrm{nF}}+\frac{1}{120 \mathrm{nF}}\right)^{-1}=66.67 \mathrm{nF}$$[/tex]

the charge on each capacitor remains the same because they connected in series. Hence, the charge on each capacitor is,

Q=C V=(66.67 nF) (48 V)=3200 nC

the charge on the 150 nF capacitor is  [tex]Q_{150}[/tex]=3200 nC

the charge on the 120 nF capacitor is [tex]Q_{120}[/tex]=3200 nC

the total energy stored in the network is,

[tex]$$$U=\frac{Q^2}{2 C}=\frac{\left(3200 \times 10^{-9} \mathrm{C}\right)^2}{2\left(66.67 \times 10^{-9} \mathrm{~F}\right)}=76.8 \times 10^{-6} \mathrm{~J}$$[/tex]

the energy stored in the 150 nF capacitor is,

[tex]$U=\frac{Q_{150}{ }^2}{2 C}=\frac{\left(3200 \times 10^{-9} \mathrm{C}\right)^2}{2\left(150 \times 10^{-9} \mathrm{~F}\right)}=34.1 \times 10^{-6} \mathrm{~J}$$[/tex]

the energy stored in the 120 nF capacitor is,

[tex]$U=\frac{Q_{150}{ }^2}{2 \mathrm{C}}=\frac{\left(3200 \times 10^{-9} \mathrm{C}\right)^2}{2\left(120 \times 10^{-9} \mathrm{~F}\right)}=42.67 \times 10^{-6} \mathrm{~J}$$[/tex]

the potential difference across the 150 nF capacitor is,

[tex]$$V_{150}=\frac{Q_{150}}{C_{150}}=\frac{3200 \times 10^{-9} \mathrm{C}}{150 \times 10^{-9} \mathrm{~F}}=21.33 \mathrm{~V}$$[/tex]

the potential difference across the 120 nF capacitor is,

[tex]$$V_{120}=\frac{Q_{100}}{C_{120}}=\frac{3200 \times 10^{-9} \mathrm{C}}{120 \times 10^{-9} \mathrm{~F}}=26.67 \mathrm{~V}$$[/tex]

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QN:-- For the capacitor network shown in (Figure 1) , the potential difference across ab is 48 V .

Find the charge on the 150 nF capacitor.

Find the charge on the 120 nF capacitor.

Find the total energy stored in the network.

Find the energy stored in the 150nF capacitor.

Find the energy stored in the 120nF capacitor.

Find the potential difference across the 150 nF capacitor.

Find the potential difference across the 120 nF capacitor.

Jessica is building a fence around her garden. For every 3 feet of fencing, the cost is $27. Complete the table below showing the length of the fence and the cost.

Answers

The complete table is

Length of fencing(feet)   1             3          6            9            10

cost($)                               9         27         54          81           90

What is fencing of a wall?

A fence is a building used to enclose a space, usually outdoors. It is often made of posts joined by boards, wire, rails, or nets. In contrast to a wall, a fence lacks a firm basis over its whole length.

The cost of fencing 3 feet is $27.

Applying unitary method:

The cost of fencing 1 feet is $27/3 = $9.

The  cost of fencing 6 feet is $(6×9) = $54

The  cost of fencing 10 feet is $(10×9) = $90.

$27 needs to make a fencing with length 3 feet.

$1 needs to make a fencing with length 3/27 feet = 1/9

$9 needs to make a fencing with length (1/9)× 9 = 1 feet.

$81 needs to make a fencing with length (1/9)× 81 = 9 feet.

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Complete the following statement. Write your answer as a decimal or whole number % of $70 = $28​

Answers

Answer:

  40%

Step-by-step explanation:

You want to know what percent of $70 is $28.

Equation

The question can be written as an equation, using a variable for the unknown percentage:

  x% · $70 = $28

Solution

The percent sign can be considered to be fully equivalent to "/100". Dividing by dollars on both sides, we can rewrite the equation as ...

  x/100 · 70 = 28

Dividing by the coefficient of x gives ...

  x = 28/0.70

  x = 40

The complete statement is ...

  40% of $70 = $28

__

Additional comment

If you're comfortable with writing decimal fractions as percentages, and vice versa, you can do without the %, and simply write ...

  x · 70 = 28

  x = 28/70 = 0.40 = 40%

This tells you 40% of $70 is $28, which is what you want to know.

what is the equation of the horizontal line that intersects the graph of the line y=4x+7 at x= -2?

Answers

Answer:

y = -1

Step-by-step explanation:

y = 4 · -2 + 7

y = -8 + 7

y = -1

16.8 Divided by 0.27

Answers

62.22222 (the 2 will continue to repeat) fraction would be 560/9

a wooden cuboid has an open flame base with a square surface with 1.2 m sides and a height of 0.25 m. Find the surface of the cuboid.

Answers

Answer:

2.64 square meters.

Step-by-step explanation:

To find the surface area of a cuboid, you need to find the area of each of the six faces and add them together. A wooden cuboid with an open flame base that has a square surface with 1.2 meter sides and a height of 0.25 meters would have a surface area of 1.2 * 1.2 + 4 * (1.2 * 0.25) = 1.44 + 1.2 = 2.64 square meters. This is because the base of the cuboid has an area of 1.2 * 1.2 = 1.44 square meters, and each of the four sides has an area of 1.2 * 0.25 = 0.3 square meters. The total surface area of the cuboid is therefore the sum of these areas: 1.44 + 4 * 0.3 = 2.64 square meters.

suppose that 90% of the patients with a certain disease can be cured with a certain drug. what is the approximate probability that, of 50 such patients, at least 45 can be cured with the drug?

Answers

The approximate probability that at least 45 of 50 patients can be cured with the drug is 0.788.

To find the approximate probability that at least 45 of 50 patients can be cured with the drug, we can use the binomial formula. The binomial formula allows us to calculate the probability of a certain number of success out of a set of trials given a certain probability of success for each trial. In this case, we have a probability of success of 0.9 and 50 trials. Therefore, the probability of at least 45 of the 50 patients being cured with the drug is 0.788. This can be calculated using the binomial formula or a binomial probability calculator.

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Order the fractions below from least to greatest.
The numbers are 5/6, 2/3, and 1/2.

Please write the fractions like this
Least ____
Middle _____
Greatest ______

Answers

Answer: Least 1/2

Step-by-step explanation: Middle 2/3

Greatest 5/6

Answer:

Least 1/2

Middle 2/3

Greatest 5/6

Step-by-step explanation:

First,5 divided by 6,is 0.83(in to 1 decimal point)

Then 2 divided by 3 is 0.67(in to 1 decimal point)

Last 1 divided by 2 is 0.5(in to 1 decimal point)

So is 5/6 is greatest and 2/3 is in the middle and the least is 1/2.

when some of the variables represent categories, we can apply a useful summarization method called tabulation, where we simply count how many people or items are in each category or combination of categories. true false 1.25 points question 1 of 8 next question last questionunsaved change moving to another question will save this res

Answers

The given statement is true for tabulation method representing the variable different categories and summarize it in tabulation method makes the calculation simple.

As given in the question,

Let the variable 'x' , 'y'  , and 'z' represent some different categories.To simplify the data represent the category in tabulation form.Each category represent the frequency of its own.Now to do the calculation simply count the number of items present in each category.This makes the calculation simple and easy to handle.

Therefore, the given statement of representing the variable different categories and summarize it in tabulation method makes the calculation simple is a true statement.

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What are the vertex and range of y = |2x 6| 2? (0, 2); 2 < y < [infinity] (0, 2); −[infinity] ≤ y < [infinity] (−3, 2); 2 < y < [infinity] (−3, 2); −[infinity] ≤ y < [infinity]

Answers

Although part of your question is missing, you might be referring to this full question: What are the vertex and range of y = |2x + 6| + 2?

(0, 2); 2 < y < ∞

(0, 2); −∞ ≤ y < ∞

(−3, 2); 2 < y < ∞

(−3, 2); −∞ ≤ y < ∞

The vertex of the function is (–3, 2) and the range of the function is 2 < y < ∞.

The given modulus function:

y = |2x + 6| + 2

Now, we get two equations out of the absolute value function:

y = 2x + 6 + 2

y = 2x + 8

and

y = –2x – 6 + 2

y = –2x – 4

The vertex of the function will be at a point where these two equations are equal. So, we can calculate the vertex as follows:

2x + 8 = –2x – 4

2x + 2x = –4 – 8

4x = –12

x = –3

If x = –3, then y = 2(–3) + 8 = –6 + 8 = 2

Thus, the vertex of the function is (–3, 2).

Now, the values that y can take will range from 2 to infinity as y cannot take values below the vertex.

Thus, the range of the function is 2 < y < ∞.

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Triangle A and Triangle B are right triangle. Triangle A ha a height of 8 meter and a bae of 6 meter. Triangle B ha a height that i one unit greater than triangle A and a bae that i one unit le. Part A
What i the meaure of the hypotenue of triangle A? Show your work

Answers

Triangle A and Triangle B are right triangle. Triangle A ha a height of 8 meter and a bae of 6 meter. then The length of one of the legs of the triangle is 10 units.

An isosceles triangle has a base length of 126 units and a height of 16 units. We need to find out the length of one of the legs of the triangle.

First of all, we will consider a perpendicular bisector of the triangle. This divides the given triangle into two equal right-angled triangles. Now, in the smaller triangle, we will use the Pythagorean theorem.

Let the length of the leg be represented by the variable "x". The length of the base of the right-angled triangle is half the length of the base of the original triangle.

x² = (6)² + (8)²

x = sqrt ( 36+64)

x = √100

x = 10

Hence, the length of one of the legs of the triangle is 10 units.

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Other Questions
deborah tannen notes that when women state their opinions, they often tag them with a question at the end of the sentence. 5350 divided by Equals 5.35 As Ruchira is packing her apartment while preparing to move in with her new husband, Biren, she reflectson the first time he saw her artwork.(1) He'd moved close to the wall and was standing very still. (2) It took her a moment to figure out that hewas examining her brushstrokes. (3) (But only artists did that. (4) Was he a closet artist, too?) (5) Finally hemoved back and let out a long, incredulous breath, and it struck her that she had been holding hers aswell. (6) "Tell me about your work," he said.(7) This was hard. (8) She had started painting two years ago, and had never talked to anyone about it. (9)Even her parents didn't know. (10) When they came for dinner, she removed the canvases from the walland hid them in her closet. (11) She sprayed the room with Eucalyptus Mist and lit incense sticks so theywouldn't smell the turpentine. (12) The act of painting was the first really risky thing she had done in herlife. (13) Being at the gallery, she knew how different her work was from everything in there, or in theglossy art journals. (14) Her technique was crude-she hadn't taken classes and didn't intend to. (15) Shewould probably never amount to much. (16) Still, she came back from work every evening and paintedfuriously. (17) She worked late into the night, light-headed with the effort to remember. (18) She stoppedinviting people over. (19) She made excuses when her friends wanted her to go out. (20) She had to forceherself to return their calls, and often she didn't. (21) She ruined canvas after canvas, slashed them infrustration and threw them into the Dumpster behind the building. (22) She wept till she sa a blurrybrightness, like sunspots, wherever she looked. (23) Then, miraculously, she got better. (24) Sometimesnow, at 2:00 or 3:00, her back muscles tight and burning, a stillness would rise around her, warm andvaporous. (25) Held within it, she would hear, word for word, the stories her grandmother used to tell.From Chitra Banerjee Divakaruni, The Unknown Errors of Our Lives. C2001 by Chitra Banerjee Divakaruni.QuestionAs used in sentence 16, "furiously" most nearly meansintenselyO viciouslyirritablyO vengefully The firm's problem Consider a competitive firm that produces bots. Labor (L) and capital (K) are the only two inputs of production; each unit of labor is paid the market wage (w), and each unit of capital is rented at the rental price of capital (r). Output (Y) is therefore a function of labor and capital, or Y = f (K, L), and is sold at the market price (P). The goal of this firm is to maximize profit given the price of bots, the wage rate, the rental rate of capital, and production technology by choosing its labor and capital inputs. Fill in the following equations with the firm's profit maximization problem: Profit Revenue - Labor Cost - Capital Cost Labor Cost + Capital Cost - Revenue Profit-maxi Revenue - Labor Cost iring an additional unit of labor will affect profit. To do this, the firm can compare the change in revenue from hiring the cost of that extra worker. The additional output produced by an extra unit of labor is equal to the Revenue - Labor Cost - Capital Cost marginal p h bot sells for the market price (P), the change in revenue from hiring an additional worker is Revenue - Capital Cost w Fill in the following equations with the firm's profit maximization problem: Profit = Revenue - Labor Cost - Capital Cost Pf (K, L) WL rK Pf (K, L) WL rK Profit-maxi rmine how hiring an additional unit of labor will affect profit. To do this, the firm can compare the change in revenue from hiring wL+ rK Pf (K, L) bor against the cost of that extra worker. The additional output produced by an extra unit of labor is equal to the marginal p Because each bot sells for the market price (P), the change in revenue from hiring an additional worker is Pf(K, L) WL in cost is Pf(K, L) rK W Firms will continue to hire workers until the change in profit is Given this condition, which of the following equations correctly Profit-maximizing firms must determine how hiring an additional unit of labor will affect profit. To do this, the firm can compare the change in revenue from hiring an additional unit of labor against the cost of that extra worker. The additional output produced by an extra unit of labor is equal to the marginal product of labor (MPL). Because each bot sells for the market price (P), the change in revenue from hiring an additional worker is and the change in cost is W P MPL F ntinue to hire workers until the change in profit is Given this condition, which of the following equations correctly Y P profit-maximizing labor choice of the firm? PXY MPL PL = ? W W PX MPL PL = MPL MPL III Profit-maximizing firms must determine how hiring an additional unit of labor will affect profit. To do this, the firm can compare the change in revenue from hiring an additional unit of labor against the cost of that extra worker. The additional output produced by an extra unit of labor is equal to the marginal product of labor (MPL). Because each bot sells for the market price (P), the change in revenue from hiring an additional worker is and the change in cost is W I W Firms will continue to hire workers until the rofit is Given this condition, which of the following equations correctly describes the profit-maximizing labor choice W X Y MPL = P W MPL = W W X MPL W= MPL Given this condition, which of the following equations correctly Firms will continue to hire workers until the change in profit is describes the profit-maximizing labor choice of the firm? positive MPL: W negative OMPL= W equal to zero W = MPL P MPL = w XP Demonstrate your understanding of the previous concepts in the following example. Suppose the price of a bot is equal to $2, and the market wage rate is $12. Moreover, suppose the marginal product of labor for this firm is equal to the following: MPL = 14-L On the graph, use the blue line (circle symbol) to show the firm's demand for labor. Then, place the black point (plus symbol) on the graph to indicate the real wage and the profit-maximizing quantity of labor. Note: Dashed drop lines will automatically extend to both axes. ? 20 O 18 Labor 16 14 12 Real w, labor UNITS OF OUTPUT (Bots) PER UNIT OF LABOR 10 8 0 0 2 4 6 14 16 18 20 10 12 UNITS OF LABORPrevious question archaeologists can understand how artifacts, features, and sites formed using information from which of the following. the edwards's theater chain has studied its movie customers to determine how much money they spend on concessions. the study revealed that the spending distribution is approximately normally distributed with a mean of $4.11 and a standard deviation of $1.37. what spending amount corresponds to the top 87th percentile? data or the trends in data that may indicate the effectivess of security countermeasures or controls-technical and managerial-implemented in the organization are known as program measurements people who have an integrating conflict style are least likely to have which big five trait? t on october 1, 20a1, borah, inc., a calendar year-end firm, invested in a derivative designed to hedge the risk of changes in fair value of certain assets, currently valued at $1.5 million. the derivative is structured to result in an effective hedge. however, some ineffectiveness may result. on december 31, 20a1, the fair value of the hedged assets has decreased by $350,000; the fair value of the derivative has increased by $325,000. borah should recognize a net effect on 20a1 earnings of: the first suggestion that chromosomes may physically exchange segments came from the microscopic identification of show the balanced chemical equation of methane with the heat of reaction added to the right side because it is an exothermic reaction. Precalc wohoo help would rlly appreciate it Match each term to its definition.A. anabolismB. biochemical pathwayC. catabolismReactions that result in the breakdown of large biomoleculesC Hi, Can anyone help me solve this please? The benefit of diversification in your investments is:Reduced riskIncreased returnReduced tax liabilityIncreased risk how did bebop differ from earlier jazz forms? multiple choice it was meant for attentive listening, not dancing. it used simple harmonies. it incorporated stylistic elements from r the drawing shows two transverse waves traveling on strings. the linear density of each string is 0.065 kg/m. the tension is provided by a 26-n block that is hanging from the string. find the speed of the wave in part (a) and in part (b) of the drawing. a thin solid barrier in the xy-plane has a 10um diameter circular hole. an electron traveling in the z-direction with vx identify the acid and conjugate base pair in the following: hso3- + cn- hcn + so32- toshiba america medical systems sells mri and ct machines using technology that can show prospective customers elaborate 3d animations, scans, and video.