Which of the following angles DO NOT have equal measure when a pair of parallel lines is crossed by a transversal?

Answers

Answer 1
The angles are missing

Related Questions

Is 1 1 2 3 5 8 an arithmetic sequence?

Answers

No, 1 1 2 3 5 8 is not an arithmetic sequence. An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a constant to the previous term.

Thus, the difference between successive terms is the same. In the given sequence, the difference between terms 1 and 2 is 0, between terms 2 and 3 is 1, between terms 3 and 5 is 2, and between terms 5 and 8 is 3. Therefore, the difference between successive terms is not the same and hence, 1 1 2 3 5 8 is not an arithmetic sequence.

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How do you know if a domain is all real numbers?

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A domain is all real numbers if it includes all of the values on the real number line (including negative and positive numbers, fractions, decimals, and irrational numbers).

1. A domain is the set of all possible values of an independent variable that produces a valid solution to a given equation.

2. To determine if a domain includes all real numbers, you must examine the set of values in the domain and see if it includes all the values on the real number line.

3. This includes negative and positive numbers, fractions, decimals, and irrational numbers.

4. If the domain includes all of these, then it is all real numbers.

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Is rotation congruent or similar?

Answers

Answer:

a

Step-by-step explanation:

how to know if a piecewise function is a function

Answers

Answer:

Step-by-step explanation:

a piecewise function is a function that is defined by different formulas or functions for each given interval. In mathematics, a piecewise-defined function (also called a piecewise function or a hybrid function) is a function which is defined by multiple sub-functions, each sub-function applying to a certain interval of the main function's domain (a sub-domain).

applied partial differential equations 7.7.2

Answers

The solution of the partial differential equation 7.7.2 is given by

u(x,t) = t^2 sin(2πx) + c,u(0.3,1.5) = 1.96 + c, where c is an arbitrary constant.

Partial differential equations are mathematical equations used to describe how a function changes as its inputs change. The equation 7.7.2 is a linear second order partial differential equation in two independent variables. It has the form of a generalized wave equation, in which a wave propagates through a medium with varying physical properties.

To calculate partial differential equations u(x,t) for given values of x and t:

Let x = 0.3 and t = 1.5

Substituting these values into the equation, we get:

u(0.3,1.5) = (1.5)^2 sin(2π(0.3)) + c

= 2.25 sin(0.6π) + c

= 2.25(0.87) + c

= 1.96 + c

Therefore, u(0.3,1.5) = 1.96 + c, where c is an arbitrary constant.

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From the set {8, 19, 25}, use substitution to determine which value of x makes the inequality true

Answers

x = 19 and x = 25 make the inequality true.

What is inequality?

In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality. ' So, a lack of balance results in inequality.

To use substitution to determine which value of x makes the inequality true, we can substitute each value from the set {8, 19, 25} into the inequality and see if it makes the inequality true or false.

For example, if the inequality is x < 10, we can substitute 8, 19 and 25 into the inequality to see which one makes it true:

8 < 10 is true

19 < 10 is false

25 < 10 is false

So, we can see that only 8 makes the inequality true. Therefore, x = 8 makes the inequality true.

If the inequality is x > 10, we can substitute 8, 19 and 25 into the inequality to see which one makes it true:

8 > 10 is false

19 > 10 is true

25 > 10 is true

Hence, x = 19 and x = 25 make the inequality true.

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What is f(-3) if f(X) =1/3x

Answers

Answer: 1/3x

Step-by-step explanation:

Hey there!

f(x) = 1/3x

f(x) = 1/3(-3)

f(x) = 1/3(-3/1)

f(x) = 1(-3)/3(1)

f(x) = -3/3

f(x) = -1


Therefore, your answer should be:

f(x) = -1



Good luck on your assignment & enjoy your day!


~Amphitrite1040:)


Contruct an iocele right-angled Triangle 'XYZ' in which angle Y=90° and two ide are 5cm each

Answers

Isosceles right angled triangle XYZ is constructed with the given measure of ∠Y =90° , YX = 5cm and YZ = 5cm each using steps of construction.

Constructed diagram is attached.

As given in the question,

Given measurement to construct a isosceles right angled triangle are:

Measure of ∠Y =90°

Measure of side length

YX = 5cm and YZ = 5cm

Constructed diagram is attached.

Step of construction :

Draw a ray.Take point Y on it and draw an arc of any measure.Take the measure more than half of the radius of the drawn arc.Take each end point as centre and draw an arc on the upper half plane of the ray.Draw ray perpendicular through point Y in the upper half plane.Now take measure of 5cm and point Y as centre and cut an arc on each of the ray.Name the point as 'X' and 'Z'.Join XZ .Isosceles right angled triangle is constructed with the given measurement.

Therefore, construction of isosceles right angled triangle is done as per the above steps of construction.

The above question is incomplete, the complete question is :

Construct an isosceles right-angled Triangle 'XYZ' in which angle Y=90° and two side are 5cm each.

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i need help this is due at 12:10

Answers

Answer:

I believe the answer is 180°

Rahul bought a weater and aved r20 when a dicount of 25% wa given. What wa the price of the weater before the dicount ?

Answers

The price of a sweater bought by Rahul before the discount is Rs. 80.

Let us assume the price of the sweater before the discount to be x.

Given that,

The money saved by Rahul will be equal to the discount given for the sweater.

Therefore, we can say that Rs. 20 will be equal to 25% of the price of the sweater before the discount.

The equation we would obtain from the language above would be,

25% of x = 20

Solving this equation further, we can see that,

=> 25% of x = 20

=> 25* 1/100 * x = 20

=> x/4 = 20

=> x = 80

As we assumed x to be the price of the sweater before the discount,

So, the price of a sweater bought by Rahul before the discount is Rs. 80.

Complete question: Rahul bought a sweater and saved Rs. 20 when a discount of 25% was given. What was the price of the sweater before the discount?

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Graph the image of A(7, −6)
after a reflection in y=x
followed by a reflection in x=−3.

Answers

The image of A After a reflection in y=x followed by a reflection in x=−3. is (0. 7).

What is a reflection?

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

A = (7, -6)

Reflection rules over y = x.

(x, y) → (y, x)

So,

(7, -6) = (-6, 7)

Now,

Reflection in x = -3

Reflection rules over the y-axis.

(x, y) → (-x, y)

So,

x = -3

There are 3 units between -3 and -6.

So,

3 + 3 = 6 units will be added during reflection over y = -3

i.e

3 units on the left side of y = -3

3 units on the right side of y = -3

So,

(-6, 7) = (-6 + 6, 7) = (0, 7)

Thus,

The image of A is (0. 7).

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The reflection of image of point in y = x is (-6, 7),

and  reflection in x = −3 is (-13, -6).

What are transformations?

The transformation, or f: X X, is the name given to a function, f, that maps to itself. After the transformation, the pre-image X becomes the picture X. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation.

Given a point  A(7, −6)

A. a reflection in y = x

Flipping is the term for reflection. A reflection is the shape's mirror image. The line of reflection is the path taken by an image when it reflects.

reflection in y = x

x changed to y and y changed to x

x = -6 and y = 7

coordinates are A'(-6, 7)

B. a reflection in x = −3.

let the coordinates be (a, b)

reflection in x = k

image coordinates will be A" (2k - a, b)

here a = 7, k = -3, and b = -6

2k - a = 2(-3) - 7

2k - a = -13

image coordinates will be A"(-13, -6)

Hence the coordinates are A'(-6, 7),

and reflection in x = -3,

coordinates aere A"(-13, -6).

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Can somebody help me on this one please I am so confused don’t know none of this stuff

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rotation then reflection.

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Ruben measured how many minutes he meditated each night and the number of hours he slept. Plot the data in a scatter plot.

Meditation (minutes) 444 888 101010 444 181818 444
Sleep (hours) 4.54.54, point, 5 9.59.59, point, 5 8.58.58, point, 5 666 101010 777

Answers

The scatter plot for the given data (See full and correct details attached) is appended accordingly.

What is a scatter plot?

A scatter plot is a collection of dots drawn on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the amount, if any, of correlation between the values of observed quantities or events (called variables).

Scatter plots aid in the visual representation of correlations between economic factors such as employment and production, inflation and retail sales, and taxes and economic growth.

As you can see there is a slight positive correlation between the number of hours meditated and the numberr of hours slept.

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Which explains why the commutative property of addition does not work for subtraction?

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The commutative property of addition states that the order of the numbers being added does not affect the result. For example, the sum of 2 + 3 is the same as the sum of 3 + 2, which is 5.

The commutative property of addition does not work for subtraction because subtraction is not commutative. In subtraction, the order of the numbers being subtracted does affect the result. For example, the difference of 3 - 2 is 1, but the difference of 2 - 3 is -1.

The reason for this is that subtraction is the inverse operation of addition and the inverse operation of a commutative operation is not always commutative. In addition, subtraction is not commutative because when we subtract the smaller number from the larger number, we get a positive result but when we subtract the larger number from the smaller number we get a negative result.

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drew was shopping on amazon on black Friday. he purchased 5 DVDs all at the same price. the tax on his purchase was 6 bring the total cost to 61. what was the price of each DVD?

Answers

Based on the information provided, the price of each DVD is $11.

How to calculate the price of the DVD?

To calculate the price of the DVD, two main variables must be considered:

Price of the DVD Total of units boughtTaxes

What is the price of each DVD?

Tax is a compulsory amount that is levied on goods and services by the government. Tax serves as a form of transfer of wealth from the private individuals to the government.

Taxes increase the cost of a good or service.

Now, let's calculate the cost of each DVD:

The price of each DVD = (total cost - tax) / number of DVDs bought

The price of each DVD = (61 - 6) / 5

The price of each DVD = 55 / 5

The price of each DVD = $11

Based on this, the price of each DVD was $11, you can double-check this below
$11 x 5 = $55 (prices for the DVDs) + 6 = $61 (total price)

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. Complete the table of inputs and outputs for the given function. g⁡(x)=3−8⁢x

Answers

The complete table is,

x             3/8         0         1         3

g(x)          0            3        -5       -21

What are linear equations?

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Given equation g⁡(x) = 3 − 8⁢x

1. when g(x) = 0

0 = 3 - 8x

8x = 3

x = 3/8

2. when x = 0

g⁡(x) = 3 − 8⁢x

g⁡(x) = 3 − 8⁢(0)

g(x) = 3

3. when g(x) = -5

-5 = 3 - 8x

8x = 3 + 5

8x = 8

x = 1

4. when x = 3

g⁡(x) = 3 − 8⁢x

g⁡(x) = 3 − 8⁢(3)

g(x) = -21

Hence the missing values of x are  3/8 and 1,

missing values of g(x) are 3 and -21.

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Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner.

6 x + 3 y = 27. 5 x + 2 y = 21.

Which variable should he choose so that he can use substitution to solve the system?
Jon should solve for y in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.
Jon should solve for x in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.
Jon should solve for y in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.
Jon should solve for x in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.

Answers

Jon should solve for y in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient of y.

What are Linear Equations?

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Given linear equations are,

6x + 3y = 27

5x + 2y = 21

The coefficients of the first equation are multiples of 3.

Hence dividing throughout the first equation by the common factor 3, coefficient of y will be eliminated.

6x/3 + 3y/3 = 27/3

2x + y = 9

y = 9 - 2x

Solving by substitution, the second equation becomes,

5x + 2(9 - 2x) = 21

5x + 18 - 4x = 21

x = 3

y = 9 - 2x = 3

Hence Jon should could solve the problem by eliminating the coefficient of y in the first equation by a common factor 3.

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Can someone help me out with this question fast!?!?!

Answers

Answer:

x=2

Step-by-step explanation:

2(4x-1)= -10(x-3)+4

(2×4x)-(1×2 )=(-10×x) -(3×-10) +4

8x -2 = -10x -(-30)+4

8x -2 = -10x +30+4

8x-2= -10x+ 34

8x+10x=34+2

18x=36 we do ÷18

x=2

What is the exponential of 10?

Answers

The term "exponential of 10" means the numbers in which the base is 10 and the exponent is an integer.

The Exponential of 10 or the "powers of 10" means when the number 10 is multiplied a certain number of times, then the  product is expressed using exponents.

These numbers which are written as the exponents are exponents of 10.

For example : 10² , 10³ represents different exponents of 10 .

In general form of the exponent of 10 or power of 10 is represented as 10ⁿ .

For Example : 10 to the exponent of 5 can be written as 10⁵, and

it's value is calculates as :

⇒ [tex]10^{5}=10\times\ 10 \times 10\times 10\times 10[/tex]

⇒[tex]10^{5}= 100000[/tex] .

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An unusually wet spring has caused the size of a mosquito population in some city to increase by 7​% each day. If an estimated 25​0,000 mosquitoes are in the city on May ​11, find how many mosquitoes will inhabit the city on May 23. Use y​250,000(1.07)x where x is number of days since May 11

Answers

The number of mosquitoes that will inhabit the city on May 23, given the increase in population, is 563, 048 mosquitos

How to find the number of mosquitoes ?

The formula for finding the number of mosquitoes after May 11, is given as:

y​ = 250,000 ( 1. 07 ) ˣ

Given that x is the number of days since May 11, the number of days till May 23 is :

= 23 - 11

= 12 days

The number of mosquitoes is therefore:

= 250, 000 x ( 1. 07 ) ¹²

= 250, 000 x 2.252191588960823337718801

= 563, 048 mosquitos

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during which time interval did dylan maintain the fastest average speed

Answers

The time interval that saw Dylan maintain the fastest average speed was B. between hour 1 and hour 2.

Where did Dylan maintain the fastest speed ?

Dylan maintained the fastest speed at the interval that saw him cover more distance in a shorter amount of time. You can find the speed at these intervals by using the speed formula of distance divided by time.

Speed between hour 0 and 1 :
= 25 miles / 1 hour

= 25 miles per hour

Speed between hour 1 and 2 :

= ( 75 - 25 ) / 1

= 50 miles per hour

Speed between hour 3 and 5 :

= ( 125 - 75 ) / 2

= 25 miles per hour

The fastest speed was therefore between hour 1 and 2.

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Options for this question are:

between hour 0 and hour 1between hour 1 and hour 2between hour 2 and hour 3between hour 3 and hour 5

Is x³ an exponential function?

Answers

Yes, is an exponential function. An exponential function is a function in which the variable (x) is in the exponent.

The general form of an exponential function is f(x) = a^x, where a is the base and x is the exponent. In the case of x³, the variable (x) is in the exponent. x³ represents x raised to the power of 3, where x is the base and 3 is the exponent.

Exponential functions are often used to model growth and decay in a variety of natural phenomena, such as population growth, radioactive decay, and compound interest. Understanding exponential functions is important for solving mathematical problems, especially in algebra, calculus, and applied fields such as physics and engineering.

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How do you find the value of n in exponents?

Answers

We can find the value of n in exponents through various rules based on the given equation.

If x is any real number and n is a positive integer, then [tex]x^n[/tex] is equivalent to repeated multiplication.

We can also write [tex]x^n[/tex] in the following way:

[tex]x^n[/tex] = x * x * x * x * x *...... * x (n times)

This can be referred to as "n raised to the power of x," "n to the power of n," or just "n." In this case, n is the exponent or power, and x is the base.

We may infer a few fundamental guidelines for exponentiation from this concept. There are various methods of finding the exponent based on various rules, namely,

Product ruleQuotient rulePower of a powerPower of a productPower of onePower of ZeroPower of negative oneChange the sign of exponentsFractional exponents

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To find the value of n in exponents, you can use the property that a^n * a^m = a^(n+m)

For example, if you have the expression (2^3)^n, you can use the property above to find the value of n by dividing both sides by 2^3, so (2^3)^n / 2^3 = 1^n. Now you can see that n = 1.

Another way to find the value of n in exponents is to use logarithms. The logarithm base "a" of a^n is n. Therefore, if you know the value of a^n, you can find the value of n by taking the logarithm base "a" of a^n.

For example, if a^n = 8 and a=2, then n = log2(8) = 3.

In summary, there are a couple of ways to find the value of n in exponents, but the most common way is to use the property of exponents or logarithms.

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Please help me and explain

Answers

The value of x in the equation 8 (x - 3) + 7 = 2x (4 - 17) is x = 1/2.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side

The given equation is,

8 (x - 3) + 7 = 2x (4 - 17)

Distributive property : p (q + r) = p q + p r

Applying the property here,

8x - (8 × 3) + 7 = 2x × (-13)

8x - 24 + 7= -26x

8x - 17 = -26x

8x + 26x = 17

34x = 17

x = 17/34

x = 1/2

The mistake of Lin happened in the second step where 4 - 17 = -13 but she wrote 13.

Hence the value of x is 1/2 not -1/2 as the solution of Lin.

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Evaluate the expression use calculator if needed

Answers

Answer:

780.

Step-by-step explanation:

I cant explain Its just the answer.

What is called absolute number?

Answers

Any value inside an absolute value in a problem or equation indicates that the value is always positive.

What is called an absolute number?In a wide range of mathematical contexts, generalizations of the absolute value for real numbers occur. Complex numbers, quaternions, ordered rings, fields, and vector spaces are a few examples of objects for which an absolute value is also specified. In a variety of mathematical and physical situations, the absolute value is intimately related to the concepts of magnitude, distance, and norm. Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line. A number can never have a negative absolute value. View some illustrations. 5 is 5 in its entirety.Any value inside an absolute value in a problem or equation indicates that the value is always positive. Absolute values are occasionally utilized with inequality problems and are frequently employed in situations concerning distance.

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K
Find the measures of an interior angle and an exterior angle of a regular 15-gon.
The measure of an interior angle is

Answers

The measure of each interior angle of the polygon is 156°.

What is the interior angle of polygon?

In a regular polygon, all interior angles are equal. The interior angle of a polygon = sum of interior angles and the number of sides is the formula for determining the size of an interior angle. A polygon's exterior angles add up to 360°.

Given that the number of sides of the polygon is 15. The sum of the interior angles of the polygon is calculated by the formula:-

Sum = ( n - 2 ) x 180

Sum = ( 15 - 2 ) x 180

Sum = 2340

The measure of each angle is calculated as:-

Angle = 2340 / 15

Angle = 156°

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Is the residual always 0?

Answers

The residual square sum may equal 0. Your model will fit your data more closely if the residual sum of squares is small; conversely, if the residual sum of squares is large, your model will match your data less closely. A value of 0 indicates that your model fits the data perfectly.

What Exactly Is Residual Value?

The estimated value of an asset that is fixed at the end of its useful life or lease term is its residual value, which is often referred to as salvage value. In lease agreements, the residual value is one of the lessor's main methodologies for calculating the lessee's periodic lease payments.

A good residual value is what?

Check out the Car Lease Ratings section of our Lease Kit for a complete list of high-residual vehicle brands and models.

                   A car is probably not a good lease deal if the lease-end residual value is less than 50% of the MSRP (for a 36-month lease). 55% to 65% of MSRP would be a nice residual.

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Twelve less the product of two numbers, ‘a’ and ‘b’. what does it mean.

Answers

Answer: (a * b) - 12

Step-by-step explanation:

      We will pull details for the sentence given to write an expression representing this situation.

      In this case, these words mathematically mean:

             less ➜ subtraction

             product ➜ multiplication

      Using this information, we will write our expression.

(a * b) - 12

Find the values of x and y.

40°

Answers

(x,, y,) is a point on the line in the point-slope formula, and m is the slope.

How should slope m be written?

When you know the slope of the line to be investigated and the point supplied is also the y intercept, you may utilize the slope intercept formula y = mx + b. (0, b). The y value of the y intercept point is represented by b in the formula.

The equation of a line can be written in several different formats:

Standard form

Ax+ By = C

A, B, and C must be real numbers and A and B cannot both be zero.

Slope-intercept form

Y = MX + b

M is the slope and b is the y-intercept.

Point-slope form

y-y₁ = m(x-x1)

In the point-slope formula, (x,, y,) is a point on the line and m is the slope.

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explain why oils, fats (lipids) and greases (hydrocarbons) are insoluble in water assume that the tc function for a companyu is as follows: tc = 550 4q 3q2 (show calculations for all parts)a. What is the average total cost function for this firm? Provide answer as a function.b. What is the average fixed cost of producing 5 units of output? Provide answer in dollars.c. What is the average variable cost of producing 5 units of output? Provide answer in dollars. Supply would often be out of sync with demandExcess inventory would existThe total cost of the product would be a low as possibleA & BB & CAll of the above the marginal cost for sals sneakers has fallen from mc1 to mc2. how will sal adjust the price he charges? which linux command can be utilized to display your current login name? 1. (10 points) Outline major developments in telecommunications technologies.2- (30 points) Define the following terms:a. Telecommunicationb. Backbonec. Public Network d. Private Networke. VPN f. Circuit Switchingg. Message Switchingh. Packet Switchingi. Centralized Computingj. Distributed Computing In the boy who harnessed the wind how did the author value education regardless of their authenticity, the performances of psychics who claim to communicate with the dead seem to be indistinguishable from those based on cold reading. group of answer choices true false What was a cause of Soviet mistrust of the Western Allies in World War ll? OA. The Soviets knew that Great Britain had signed a separate peace treaty with Germany. O B. The Soviets felt it took too long for the allies to invade France. C. The United States had joined Great Britain in an attack on Poland. D. The United States had sent troops to Eastern Europe to build democracies. If oligopolists always match price cuts by other firms in the cartel, but do not match price increases, then this strategy _____.Select the correct answer below:will eventually lead to a single monopoly firm capturing the entire marketwill increase the level of competition in the marketcan work like a silent form of cooperationcan incentivize firms to betray the cartel and capture a higher market share by increasing prices which of the following excerpts from the passage best describes the authors reason for opposing an expansion of the scope of the federal government? consider the vector field f = (xy z2) i x2 j (xz 2) k . (a) compute curl f . curl f = correct: your answer is correct. (b) is the vector field irrotational? Write a journal entry as if you have just cast your first vote. Describe how you felt about voting. Large chains of supermarkets can offer lower prices due to their ability to buy items in bulk. This shows the impact from:A. urban areas.B. None of these are correct.C. informal economies.D. the economy of scale. The charge of the complex ion in [Zn(H2O)3Cl]Cl is__________.A) 0B) 1-C) 2+D) 1+E) 2- The gas tank has an inner diameter of 1.50 m and a wall thickness of 25 mm. If it is made from A-36 steel and the tank is pressured to 5 MPa, determine the factor of safety against yielding using (a) the maximum-shear-stress theory, and (b) the maximum-distortion-energy theory. interpretation of which of the following questions would require the most cultural sensitivity Calculate the expected EPS for option 2 given an anticipated EBIT of $50,000,000Company DEF has enjoyed several consecutive profitable years and has accumulated $80,000,000 in cash and marketable securities. The company is considering multiple potential uses for the excess cash. Option 1: Build a new manufacturing facility at an initial cost of $20,000,000. The facility is expected to generate an additional $7,000,000 in annual sales. Assume no new fixed costs and variable costs equal to 55% of sales. For depreciation calculations, assume a 10-year life and straight-line depreciation. Option 2: Use half of the current cash balance to repurchase shares of outstanding stock through a tender offer (4,000,000 shares at $10 per share). Option 3: Use half of the current cash balance to pay off long-term debt. Option 4: Pay a special dividend of $4.00 per share. Option 5: Increase the regular dividend to $4.00 per share. The company has 10,000,000 shares of stock outstanding that are currently priced at $10 per share. The company paid a dividend of $1.25 per share last year and expects dividends to grow at 4% annually. It also has 180,000 bonds outstanding that pay a 6% coupon rate and mature in 5 years. The current price of the bonds is $980. Assume semi-annual interest payments. The tax rate is 21%. Hint: To calculate cash flows for years 1-10: CF70 = Sales - VC-Dep = EBIT - Taxes = NI + Dep = OCF Find the kinetic energy of each planet just before they collide, taking m1 = 2. 20 10^24 kg, m2 = 7. 00 10^24 kg, r1 = 3. 20 10^6 m, and r2 = 4. 80 10^6 m. K1 = JK2 = J FILL IN THE BLANK. In the ice-cream industry in the short run, ____________ includes the cost of cream and sugar but not the cost of the factory.