circumference of circle whose radius is 7cm​

Answers

Answer 1

Answer:

43.98 cm

Step-by-step explanation:

[tex]C=2\pi r[/tex] where r is the radius

Plug the radius 7 cm into the equation as r

[tex]C=2\pi (7)\\C=14\pi \\C=43.98[/tex]

Therefore, the circumference of the circle is approximately 43.98 cm.

I hope this helps!


Related Questions

A high school has a policy that students' phones must be kept away during class. A principal used
the school roster to poll a random sample of 50 students, and only 10% said that they ever had
their phone out during class. The next day, the principal observed classrooms and noticed that
approximately 25% of students had their phone out at some point during class.
Which of these is the most concerning potential source of bias in the principal's poll?
Choose 1 answer:

Answers

Answer:

Out of these potential sources of bias, the most concerning the potential source of bias in the principal's poll is probably response bias.

Step-by-step explanation:

There are several potential sources of bias in the principal's poll that could have led to the discrepancy between the poll results and the principal's observations. Some possible sources of bias include:

Self-selection bias: It is possible that students who were more likely to admit to using their phone during class were more likely to participate in the poll. This could have led to an overestimation of the percentage of students who use their phone during class.

Response bias: It is possible that students who participated in the poll were not entirely truthful in their responses. For example, students who do use their phone during class might have been reluctant to admit it, leading to an underestimate of the percentage of students who use their phone during class.

Sampling bias: The principal might not have selected a truly random sample of students for the poll, leading to a sample that is not representative of the entire student body. For example, if the principal only polled students from certain classes or certain grade levels, the results might not be representative of the entire school.

Observation bias: The principal's observations might not have been completely objective. For example, the principal might have been more likely to notice students who were using their phone during class, leading to an overestimate of the percentage of students who use their phone during class.

If students are not completely truthful in their responses, it will be difficult to accurately gauge the extent to which students are using their phones during class. It is important to try to minimize response bias as much as possible in any survey or poll.

D! Response bias is the one due to everyone’s mindset

the figure shown is composed of a triangle within a trapazoid determin the area of the shaded region

Answers

The area of the shaded region of the figure composed of a trapezoid and triangle is 26.25 m².

How to find the area of a composite figure?

The figure shown is composed of a triangle within a trapezoid. The area of the shaded portion can be found as follows:

The area of the shaded portion is the subtraction of area of the triangle from the area of the trapezoid.

Hence,

area of the shaded portion = area of the trapezoid - area of the triangle

area of the trapezoid  = 1 / 2 (5 + 9)6

area of the trapezoid  = 1 / 2 (14)6

area of the trapezoid  = 42 m²

area of the triangle = 1 / 2 × 7 × 4.5

area of the triangle = 1 / 2 × 31.5

area of the triangle = 15.75 m²

Therefore,

area of the shaded portion = 42 - 15.75

area of the shaded portion = 26.25 m²

learn more on area here:https://brainly.com/question/15480382

#SPJ1

How many solutions does the equation y 0 and y =- 7 have?

Answers

The system of linear equations has no solution. Then the number of the solution of the equations will be zero.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equations are given below.

y = 0 and y = - 7

The lines are parallel to each other. Then they will never intersect with each other.

The system of linear equations has no solution. Then the number of the solution of the equations will be zero.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ4

Can you justify that all sides and all angles are equal in a equilateral triangle?

Answers

The basic definition states that all the sides of an equilateral traingle is always same.

so equilateral traingle have same side and is justified  according to the definition of the equilateral traingle.

Now secondly we have to prove that all angles of an equilateral traingle is same  :

in the traingle PQR shown below PQ,QR,PR is the side of the traingle

we have to prove that ∠QPR = ∠PQR = ∠ PRQ.

As we know that all sides length of equilateral traingle are equal.

so PQ=QR=PR

Statement 1:

Angles opposite to equal sides QR and PR are equal so .

=>   ∠QPR = ∠PQR

Statement 2:

Angles opposite to equal sides PR and PQ are equal so .

 =>   ∠PQR = ∠ PRQ.

combining statement 1 and statement 2.

=>  ∠QPR = ∠PQR = ∠ PRQ and hence all three angles are same [Proved]

To know more about Equilateral traingle click on below link:

brainly.com/question/30068040#

#SPJ4

What conditions would produce a negative z-score? Choose the correct answer below .
O A z-score corresponding to
O an area located entirely in the left side of the curve an area in the top 10 % of the graph
O a z-score for a negative area
O a z-score corresponding to an area located entirely in the right side of the curve

Answers

z-score in normal distribution is a standardized value of raw score,i.e., random variable X when mean is 0 and standard deviation is 1.

What is standard deviation?

The standard deviation is a metric that reveals the degree of variation (such as spread, dispersion, and spread) from the mean. Similar to variance, there is little variation when data points are close to the mean, but there is much variation when data points are widely scattered from the mean. The amount of departure from the average is determined by standard deviation. The most common measurement of dispersion, the standard deviation, is based on all values. Therefore, a change in even one value has an impact on the standard deviation's value. In the bell curve of z, a 'negative z-score' represents raw score below mean and 'positive a-score' means raw score is above mean.Since, the distribution of standard variate z~N(0,1) is always centered towards 'zero' mean and is symmetrical, negative z-score ,which represent raw score below mean, is always in the left side of the curve.Therefore, ​z-score corresponding to an area located entirely in the left side of the curve will produce a negative z-score. Also, area is never negative.

To know more about z-score check the below link:

https://brainly.com/question/25638875

#SPJ1

A chopstick model of a catapult launches a marshmallow in a classroom. The path of the marshmallow can be modeled by the quadratic y = −0.07x^2 + x + 2.2, where y represents the height of the marshmallow, in feet, and x represents the horizontal distance from the point it is launched, in feet.

When the marshmallow hits the ground, what is its horizontal distance from the point where it was launched?

16.22 feet

−1.94 feet

7.14 feet

2.2 feet

Answers

The horizontal distance from the point where it was launched is; Option C: 7.14 feet

How to solve quadratic model of projectile functions?

Horizontal distance is defined as the distance between two points measured at a zero percent slope.

We are told that the path of the marshmallow can be modeled by the quadratic equation;

y = −0.07x² + x + 2.2

The maximum point will occur when dy/dx = 0

Thus;

dy/dx = -0.14x + 1

At dy/dx = 0,

-0.14x + 1 = 0

1 = 0.14x

x = 7.14

This value of x is the x-coordinate of the vertex and it represents the horizontal distance from the point where it was launched.

Read more about Quadratic model of projectile functions at; https://brainly.com/question/15848058

#SPJ1

A line goes from (1, 0) to (5, question mark). a horizontal line is at x = 5. what would the height need to be for this curve to be a density curve? one-fifth one-fourth one-half 1

Answers

As per the equation of line, the height density of the curve is 0.2

The standard form of the equation of a straight line is

=> y = mx + c

here m is the slope and c refers the intercept on the y-axis.

Here we have given that A line goes from (1, 0) to (5, question mark). a horizontal line is at x = 5.

And we need to find  height need to be for this curve to be a density curve.

As per the given details,

here we have the point (1,0) and ( 5, ?)

There is an horizontal line at x = 5.

Then the height of the density of the curve is calculated as.

Here we have to recall that the area must equal 1 and that uniform density curves are rectangular.

=> base x height = 1

=> 5 x height = 1

=> height = 1/5

=> height = 0.2

To know more about Equation here.

https://brainly.com/question/10413253

#SPJ4

Solve the following inequality for c. Write your answer in simplest form.
c-8<10c+3

Answers

-11/9 < c is the simplest form of the given inequality

What is Linear Inequality?

A linear inequality is a mathematical inequality that incorporates a linear function. A linear inequality contains one of the inequality symbols. It displays data that is not equal in graph form.

Solution:

In this question all that we have to do is to seperate the variable terms and the constant terms

It is showwn in the solution below

c - 8 < 10c + 3

-8-3 < 10c - c

-11 < 9c

-11/9 < c

as you can see after seperating the terms we can surely make an inequality

Refer to the Graph Attached

To learn more about Linear Inequality from the gievn link

https://brainly.com/question/24372553

#SPJ1

Why are measuring tools are necessary?

Answers

Measuring tools are necessary because its improve the quality and quantity of life while also making our lives easier and safer. It is debatable if the capacity for precise measurement of physical attributes has a significant survival value that gives humans an adaptive, evolutionary advantage honed over many years of natural selection.

what are measuring tools?

A measuring instrument is a tool used to quantify anything tangible. Measurement is a key activity in the physical sciences, engineering, and quality control.

Measurement equipment that is frequently used includes thermometers, rulers, yardsticks, scales, beakers, protractors, clocks, and measuring tape. Understanding the proper way to use each instrument can make measurement more accurate , enjoyable. Each tool has a unique purpose.

To know more about measuring tools visit;-

https://brainly.com/question/22599655

#SPJ4

How can you determine if the left and behavior of a polynomial function is rising or falling?

Answers

To determine if a polynomial function is rising or falling, take the derivative of the function and evaluate it at the given point. If the derivative is positive, then the function is rising; if the derivative is negative, then the function is falling.

To determine if a polynomial function is rising or falling, take the derivative of the function. The derivative of a function at a given point is the slope of the tangent line at that point. If the slope is positive, then the function is rising; if the slope is negative, then the function is falling. To find the derivative of a polynomial function, use the power rule. This states that if f(x) = x^n, then the derivative of f(x) is nx^(n-1). Once the derivative is found, evaluate it at the given point. If the result is positive, then the function is rising; if it is negative, then the function is falling.

Let's say we have a polynomial function f(x) = x^3. To find the derivative of this function, use the power rule. The derivative of f(x) = x^3 is 3x^2. Now let's evaluate the derivative at the given point x = 2. The derivative at x = 2 is 3(2)^2 = 12. Since 12 is positive, the function is rising at that point.

Learn more about polynomial here

https://brainly.com/question/11536910

#SPJ4

How do you write 4 is greater than 3?

Answers

We write 4 is greater than 3 using Inequality sign as 4 > 3.

The first number in every inequality sign tells us how the first and second numbers relate to one another, so 4 > 3 means "4 is greater than 3."

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

Greater than and less than symbols are used to indicate whether one number is greater than or less than another. The greater than symbol (>) is used when the first number exceeds the second number. The less than symbol (<) is used when the first number is less than the second number.

Learn more about Inequality sign:

brainly.com/question/948454

#SPJ4

What is the natural domain of f x?

Answers

If only the rule y = f(x) is provided, the set of all real x for which the function is defined is assumed to represent the domain.

Given that,

We have to find what is the natural domain of f(x).

We know that,

Consider the relationship between the independent variable x and the dependent variable y, y = f(x). It is considered to be in the domain of the function f if a value for x successfully enables the construction of a single value y using another value for x.

If only the rule y = f(x) is provided, the set of all real x for which the function is defined is assumed to represent the domain.

For instance, all real x has a value of zero when y = x. This is sometimes referred to as the function's natural domain.

To learn more about domain visit: https://brainly.com/question/28135761

#SPJ4

What is the proportional relationship?

Answers

Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think of them is that, in a proportional relationship, one variable is always a constant value for the other. That constant is known as the "constant of proportionality."

Step-by-step explanation:

How can you use the transformations to identify corresponding parts of congruent triangles?

Answers

To identify corresponding parts of congruent triangles, you can use the transformations of translation, rotation, and reflection.

Translation involves moving a figure a certain distance in a certain direction, and all parts of the figure move the same distance in the same direction. If you translate two congruent triangles, their corresponding parts will still be corresponding.

What does a triangle represent in mathematics?

The term "trigon" is occasionally (though not very frequently) used to refer to a triangle, a 3-sided polygon. Three sides and three angles, some of which may be the same, characterize every triangle.

What categories go under triangles?

The term "acute triangle" refers to a triangle with all three angles being smaller than. The term "obtuse triangle" refers to a triangle with any one angle greater than. The terms "right triangle" and "right-angled triangle" both refer to triangles with at least one angle of.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ4

The shelter found homes for
10% of the cats they had. What is
10% of 40 cats?

Answers

Answer: 4 cats

Step-by-step explanation:

10% = 0.1

Take 40 times 0.1 = 4 cats

He i the midpoint of AC which tatement bet decribe the relationhip between triumph ABD and CBD triangle ABD and CBD are congruent by the SSS congruence potulate

Answers

The option 1 "Triangles ABD and CBD are congruent by the SSS Congruence Postulate." is correct.

In the given question, DB is a median of ∆ADC.

We have to find which statement best describes the relationship between triangles ABD and CBD.

From the diagram we can see that

AD = CD

Since DB is median so it divide AC into two equal parts

So AB = CB

DB = DB (Common)

So, ∆ABD ≅ ∆CBD by SSS Congruence Postulate.

So, the option 1 "Triangles ABD and CBD are congruent by the SSS Congruence Postulate." is correct.

To learn more about SSS Congruence Postulate link is here

brainly.com/question/11804045

#SPJ4

The complete question is:

DB is a median of ∆ADC. Which statement best describes the relationship between triangles ABD and CBD?

(1) Triangles ABD and CBD are congruent by the SSS Congruence Postulate.

(2) Triangles ABD and CBD are similar by the SSS Similarity Postulate.

(3) Triangles ABD and CBD are congruent by the SAS Congruence Postulate.

(4) Triangles ABD and CBD are similar by the SAS Similarity Postulate.

Which term should be inserted in X² − +16 to make it a perfect square?

Answers

64 should be added to the equation to make it perfect square. The correct option is A.

What is a perfect square?

A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer. Perfect square trinomials are three-term polynomials with a quadratic equation of ax^2 + bc + c

In order to find the c, we must divide 16 in the equation 16x , and raise it to the power of 2.

This will be:

(16/2)²

= 8²

= 64

Therefore the answer is 64.

Learn more about perfect square at:

https://brainly.com/question/26119721

#SPJ1

Complete question

Which term should be inserted in X² − +16 to make it a perfect square?

A. 64

B. 6

C. 4

D. 2

Jacinta says there are infinitely many rational numbers between 0 and 1. Do you​ agree? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

Therese infinite amount of rational numbers between 0 and 1 because of decimals.

0.9

0.99

0.999

0.9999

.....

There's an infinite amount of decimals you can add. If the sequence repeats, it is rational.

What is the mean of first ten even natural numbers * 9 10 11 12?

Answers

The first ten even natural numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20. The mean of these numbers is the sum of the numbers divided by the number of numbers in the set. The sum of these numbers is 110 and there are 10 numbers in the set, so the mean is 11.

The mean of the numbers 9, 10, and 11 is 10. The mean of the numbers 12, 13, and 14 is 13. So the mean of the numbers 9, 10, 11, 12, 13, 14, 15, 16, 17, and 18 is (10+13)/2 = 11.5.

The meaning of natural numbers in mathematics

Standard Numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11 are the numbers we use to count or arrange things in numerical order. Detailed numbers the set of integers that includes zero and the natural numbers. neither a fraction nor a decimal.

To know more about natural number visit:
https://brainly.com/question/17273836

#SPJ4

help me PLEASEEEEEEEEE EE EE EE E

Answers

this is just base (b) times width (w) times height (h)

you can put them into an equation that looks like this:

b × w × h = area (a)

now lets put those numbers for the letters.

8 × 2 × 4 = a

a = 64

you're welcome :)

How do you know if its a discontinuity?

Answers

The conditions for the discontinuity is illustrated as follows.

The term discontinuity in math is defined as the functions f(x) that are not continuous at a point of its domain.

If the function fall under the discontinuity if it satisfies any one of the following condition,

if the limit values are not sameIf any one of the limit value is not definedIf there is no limit in the functionFunction is not properly definedif the denominator of the function will fall on the value of zero,

If the function will satisfies any one of these condition, then the function must discontinuous one.

To know more about Discontinuity here

https://brainly.com/question/28783981

#SPJ4

Can you prove the triangles are congruent?

Answers

The triangles can be proven to be congruent. ΔADC ≅ ΔCBA based on the HL congruence theorem.

How to Prove that Two Triangles are Congruent by HL Congruence Theorem?

The HL congruence theorem can be used to prove that two triangles are congruent if we can show that they are right triangles which have a pair of congruent hypotenuse and a pair of congruent legs.

Given the triangles in the image, ΔADC and ΔCBA, they have the following:

Both are right triangles because angles ADC and CBA are right angles.AC ≅ CA based on the reflexive property (congruent hypotenuses)DC ≅ AB because it is indicated they are congruent to each other [congruent legs].

Therefore, both triangles are congruent by HL congruence theorem.

Learn more about the HL congruence theorem on:

https://brainly.com/question/2102943

#SPJ1

How many solutions y 3x 5 has?

Answers

A linear equation y = 3x+5 with two variables hence has an infinite number of solutions.

What is linear equation?

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given linear equation:

y = 3x+5

In this equation,

there are two variables, x and y.

And equation is one.

That means,

the number of unknowns > the number of equation

2>1.

The line y=3x+5 is a linear equation in two variables.

For every value of x, there is a unique value of y

Put x=0 ⇒ y=5

Hence, (0,5) is a solution

Put x=1, ⇒ y=8

Hence, (1,8) is a solution.

Put x=−1,⇒y=2

Hence, (−1,2) is a solution.

We so obtain varied values of y when preserving distinct values of x.

Therefore, infinitely many solutions are possible.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ4

How do you find the length of a rectangular pyramid with the volume?

Answers

If the volume of a rectangular pyramid is known, we can determine the length of the pyramid if we get the base area or the base dimensions. Here the length of the pyramid is the height of the rectangular pyramid.

The volume of a right rectangular pyramid of base l×b and height h can be determined by the formula

V = l×b×h/3

Therefore we can obtain the length or height of the rectangular pyramid given the volume if we know other two dimensions or their product, that is the base area of the pyramid. In which case we can obtain the height be substituting.

To know more on pyramid

https://brainly.com/question/17615619

#SPJ4

A paper has an area of 96 square inches. What is the paper's area in square centimeters? Use the following conversion: 1 square inch is 6.5 square centimeters.

Answers

To convert an area measured in square inches to square centimeters, we need to multiply the area in square inches by the conversion factor that converts square inches to square centimeters. In this case, the conversion factor is 6.5 square centimeters per square inch. So, to convert the paper's area of 96 square inches to square centimeters, we multiply 96 square inches by 6.5 square centimeters per square inch, giving us 96 * 6.5 = 624 square centimeters. Thus, the paper's area in square centimeters is 624 square centimeters.

Why are the 2 answers in quadratic equation?

Answers

The quadratic equation, which is written in the form [tex]ax^{2} +bx+c=0[/tex] has two solutions because it is a second-order polynomial equation.

What is a quadratic equation?

Any equation of the form  [tex]ax^{2} + bx + c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by :

[tex]x=[/tex][tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]

where a, b, and c are the coefficients of the quadratic equation, and [tex]\sqrt{b^{2}-4ac }[/tex] represents the square root function. The plus-minus symbol (±) indicates that there are two solutions, one for each value of the symbol. These two solutions represent the roots of the equation, which are the values of x that make the equation true.

To know more about quadratic equation , see:

https://brainly.com/question/1526946

#SPJ4

There are commonly two answers to quadratic equations because the answers are where the parabola crosses the x -axis.

Why are the 2 answers in quadratic equation?

Quadratic equations are equations in two variables whose graph is a U-shaped parabola that is symmetrical about a vertical line, called the axis of symmetry. The standard form of a quadratic equation is [tex]y = ax^2 + bx + c[/tex], where [tex]a,b[/tex] and [tex]c[/tex] are real numbers, and x and y represent all (x,y) pairs that satisfy the equation. The solution(s) to a quadratic equation is the point(s) where the parabola crosses the x-axis. A quadratic expression can be written as the product of two linear factors and each factor can be equated to zero, So there exist two solution.

There are commonly two answers to quadratic equations because the answers are where the parabola crosses the x -axis.

To know more about solutions in quadratic equation, check out:

https://brainly.com/question/1214333

#SPJ4

Answer the question for ixl pls

Answers

The value of p is 60°.

What is a Triangle?

A triangle is a polygon with three sides and three vertices.

Sum of all the angles of the triangle is 180°.

Given, the triangle ABC;

∠A = p +  49° + ∠CAB = 180°  

∠CAB = 180° - p - 49°

And the sum of all the angles of the triangle is 180°.

∠CAB + ∠CBA + ∠BCA = 180°

180° - p - 49° + p - 15° + p -16° = 180°

p = 60°

Therefore, Evaluation of p is 60°

To learn more about the triangle;

https://brainly.com/question/2773823

#SPJ1

pls help me. i really need the answer quickly.

Answers

Answer:

x = 90

y = 58

z = 32

Step-by-step explanation:

A straight line is 180.

x = 180 =90 = 90

I looked at the small white triangle on the far right.  I now that the sum of the 3 angles must add up to 180.  I know that one angle is 90.  I can figure out C from the large triangle.

Angle  C is 180 -90 - 32 = 58

I now know 2 of the angle measurements for the small right side triangle:

58 and 90  I subtract these from 180 to find z

180 - 90 - 58 = 32

To find x.  I know that a straight line is 180,  I also know that I have a 90 and a 32 degree angle.  I subtract these from 180

180 - 90 -32 = 58

Answer:

Your answer is x = 90° , y = 58° , z = 32°

Step-by-step explanation:

Looking at that right-angle triangle ABC we know that it has 3 angles that must add up to 180°.

The problem mentions that there is a square the inside the triangle.

Now within the triangle ABC there is 2 triangles and a square inside of it.

This is the information from looking at the triangle.

Angle 32° + x° + y° = 180°

Angle y° + 90° + z° = 180°

Angle x° seems to be perdicular to the triangle so must be 90°

Now we know 2 angles we can solve for angle y°

32° + x° + y° = 180°

32° + 90° + y° = 180°

122° + y° = 180°

y° = 58°

The square's four angle is all 90°. Substitute y to solve for z.

y° + 90° + z° = 180°

58° + 90° + z° = 180°

148° + z° = 180°

z° = 32°

"Four times the difference of a number and seven is at least -52."​

Answers

The term "difference" relates to subtraction, thus since they are looking for an unknown number's "difference," we can utilize the variable "x." X-7

How to find the Calculation?

Subtraction is an operation to find the difference of two numbers; yet, the outcome of subtraction is a difference.

The greater-than sign is represented by the letter >. Therefore, 9>7 is understood to mean "9 is greater than 7." The sign for less than is. (greater than or equal to) and are two more comparison symbols (less than or equal to).

The larger than, less than, and equal to signs are referred to as our "at least" signs.

7 divided by a number equals x-7.

Four times is four or four.

At the very least = -52 = Response negative 52

Connect them all,

x-7(4)<-52

4(x - 7) ≥ -52

4x - 28 ≥ -52

4x ≥ -24

x ≥ -6.

To Learn more About difference refer to:

https://brainly.com/question/148825

#SPJ1

What is I² in math?

Answers

In mathematics the expression of refers to or has a value equal to -1

We are going to define complex numbers, since "i" is a letter that denotes that it is an imaginary number.

What are Complex numbers?

Complex numbers are known as imaginary numbers and can be defined as an extension of the set of real numbers, since in its structure it has a real number followed by an imaginary number denoted with the letter "i".

The value of "i" starts from the square root of (-1)

√(-1) = i

Then if we want to know the value of i squared we do the following:

√(-1) = i

[√(-1)]² = i²

(-1) = i²

Learn more about complex numbers at:

brainly.com/question/12241782

#SPJ4

Other Questions
Roberto really enjoys mingling at work functions, both to network for new contacts and simply to share stories with other interesting people. Roberto probably scores high in O extroversion. O openness to experience. conscientiousness. emotional stability, O agreeableness, A company with $800,000 in operating assets is considering the purchase of a machine that costs $75,000 and is expected to reduce operating costs by $20,000 each year. The payback period for this machine in years is closest to:A. 0.27 yearsB. 10.7 yearsC. 3.75 yearsD. 40 years le Choice (1 point each)- the choice that best completes the statement or answers the question.1.What were the four causes of World War I?A. The rise of nationalism, the alliance system, imperialism, and the assassination ofArchduke Franz Ferdinand.B.) The spread of industrialization, the need for natural resources, imperialism, andnationalism.C. The Triple Entente, the Triple Alliance, unjust governments, and industrializationMilitarism, economic depression, lack of education, and superstition. how did the homestead act contribute to the expansion of western settlement? a. by establishing agricultural colleges to develop better ways to farm b. by granting farm plots to people willing to live on the land for five years c. by granting white settlers ownership of mexican american land d. by encouraging more white migration by prohibiting chinese immigrants What is a credit score used for? Is a factor of production Mcq? (4+ square root3x-2 (4+square root 13x-2)How do you foil this? which of the following is not a piece of evidence scientists have found indicating that liquid water once existed on mars? select one: a. meandering run-off channels and canyons carved by flowing water b. martian rocks and minerals that form in the presence of water c. parallel grooves in channels that appear to have been carved by strong currents d. ice flows cascading down mars' active volcanic clopes The ________ and __________ are the vessels in the fetal pig heart that is absent in adults. What is the nature of the roots of the quadratic equation 4x 4 3x 3 0? a decision that faithfully reflects the concerns and interests of affected parties fulfills which of the following dimensions of quality with respect to decision making? group of answer choices justice due process fairness coherence accuracy The version of Grendal is more______ than the version in John Gardeners novel What is example of distributive? Can pewter cause lead poisoning? Use compatible numbers to determine if 455 + 229 455 + 229 is more than 650 650 . Drag the numbers to the table to show each compatible number. Numbers may be used once or not at all. Is it more than one answer for each box or just the one I already selected to test an action query before running the query, it is a good practice to create a query first to make sure the correct records are selected. During the Holocaust, terrible things were done by real people, with faces, names, and life histories. Why do you think the authorshows the Terrible Things as anonymous?Explain in two to three complete sentences. During Charles Darwins first presentation following his voyage on the HMS Beagle, he attempts to document his evidence of gradualism an idea he learned about from reading Charles Lyells book Principles of Geology. What evidence did he present? What did he describe as the key to the formation of mountains? y varies jointly as x and z. If y = -40 when x = -2 and z = -1, what is the variation equation? if we accept the evolutionary psychology idea that a particular behavior has an evolved basis, then it follows that. true of false