the state of oregon has an entire are of 9.0 x 10

Answers

Answer 1

The state of Oregon has an area of 90,000 square kilometers.

1. Take the given area of 9.0 x 10^6 square kilometers

2. Move the decimal point 6 places to the left

3. The new area is now 90,000 square kilometers

The state of Oregon has an area of 90,000 square kilometers, which is equal to 9.0 x 10^6 square kilometers.

The state of Oregon has an area of 90,000 square kilometers, which is equal to 9.0 x 10^6 (nine million) square kilometers. This is an area of around 553,000 square miles, and is roughly equivalent to the size of the United Kingdom. It is the 9th largest state in the United States, and is bordered by the states of Washington, Idaho, California, Nevada, and the Pacific Ocean. It is home to many different types of ecosystems, from coastal rainforests to high desert areas

The complete question is :

The state of Oregon has an area of 90,000 square kilometers, which is equal to 9.0 x 10^6 square kilometers.

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Related Questions

the ... of a positive integer is negative.

Answers

Answer:

Multiplying

Step-by-step explanation:

The Multiplying of a positive integer is negative.

4x-5y≥-35 (y>-x-2 please help

Answers

The common region to the graph of both inequality represents the possible solution sets to the inequality.

What is inequality? What are algebraic expressions?

An inequality is used to make unequal comparisons between two expressions.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is a system of inequality as -

4x - 5y ≥ -35

y > - x - 2

Refer to the graph attached. The common region to the graph of both inequality represents the possible solution set to the inequality.

Therefore, the common region to the graph of both inequality represents the possible solution sets to the inequality.

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Mary makes $15/hr at her job. She currently has $100 in her bank account. Write an equation to show how much money she will have at the end of the week, then find the value if she works 10, 15, and 20 hours.

Answers

The required money she will have at the end of the week for 10, 15, and 20 hours is $250, $375, and $500.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

The equation to show how much money Mary will have at the end of the week would be:

M = 100 + (15 * h), where M is the total money Mary will have at the end of the week and h is the number of hours she works.

If Mary works 10 hours, she will have:

M = 100 + (15 * 10) = 250 dollars.

If Mary works 15 hours, she will have:

M = 100 + (15 * 15) = 375 dollars.

If Mary works 20 hours, she will have:

M = 100 + (15 * 20) = 500 dollars.

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Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their shadows. Dixon's shadow is 18 feet long and Ariadne's shadow is 15 feet long. If Dixon is 6 feet tall, how tall is Ariadne?









Clear
Click and hold an item in one column, then drag it to the matching item in the other column. Be sure your cursor is over the target before releasing. The target will highlight or the cursor will change. Need help? Watch this video.

Answers

Answer:  5 feet tall

==============================================

Explanation:

We have a proportion in the form:

A/B = C/D

where,

A = length of Dixon's shadowB = Dixon's heightC = length of Ariadne's shadowD = Ariadne's height

Each is measured in feet.

In this case,

A = 18B = 6C = 15D = unknown

Let's solve for D.

A/B = C/D

18/6 = 15/D

3 = 15/D

3D = 15

D = 15/3

D = 5

Ariadne is 5 feet tall.

determine whether the following system has no solution, an infinite number of solutions or a unique solution

Answers

System 1 has unique solution, System 2 have infinite solutions, System 3 has no solution and System 4 have infinite solutions.

What is system of equation?

Algebra requires the simultaneous solution of two or more equations. There must be an equal number of equations and unknowns for a system to have a singular solution. The several kinds of linear equation systems are as follows:

Independent: There is just one possible outcome for the system. The graphs of the equations come together at this one location.

Inconsistent: There is no solution for the system.

1. Given these 3 equations will yield a unique solution:

x = 32, y = 5, z = -9.  

So, a unique solution exists for this

2. This is yield many solutions. It is of the form:

x = 41n + 20, y = 55n + 27, z = 10n + 4, when n can take any values.

Hence, infinite solutions exist

3. There is no answer for any of the three equations when you try to solve them.

4. Multiply the first equation by two and subtract from the third equation. Basically, the equation is the same.

Three unknowns, but no three distinct equations Thus, there are an infinite number of combinations of x, y, and z.

Hence, infinite solutions exist.

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How are coefficient estimates from WLS (weighted least squares) interpreted?Select one:a. They should only be used for hypothesis testing. Coefficient estimates from the un-weighted, original model should be used for prediction.b. There is no difference in interpretation since each observation is scaled by the same divisor.c. Take the inverse of the natural logarithm of the coefficient to find marginal effects.d. They must be scaled up by the weight used in order to calculate marginal effects.

Answers

Coefficient estimates from WLS (weighted least squares) are interpreted in a similar manner to those from an un-weighted, original model. The main difference is the weights used to scale the observations.

Therefore, correct answer will be:-  Coefficient estimates from the un-weighted, original model should be used for prediction

This can cause estimates to differ depending on the weight chosen. When interpreting the coefficient estimates, it is important to consider the weights used when calculating the model. This is because they can affect the magnitude of the coefficient estimates.

Additionally, the weights should be taken into account when calculating the marginal effects of the coefficients. This can be done by scaling up the coefficients by the weight used. Ultimately, the interpretation of coefficient estimates from WLS should be done in the same manner as those from an un-weighted model, but the weights should be taken into account when considering their magnitude and when calculating marginal effects.

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a typical rectangle is shown in the diagram located at position x. what is the height of this rectangle, in terms of ?

Answers

The height of the rectangle is equal to -2x² - 3x + 35.

The height of a rectangle can be found by subtracting the value of one of its side lengths from the value of the other side length.

We know that the height is equal to the difference between two side lengths, which are represented by the expressions y1 = -2x²+20 and y2 = 3x-15.

To find the height, we subtract y2 from y1:

y1 - y2 = (-2x²+20) - (3x-15) = -2x² - 3x + 35

So, the height of the rectangle is equal to -2x² - 3x + 35.

It is important to note that rectangles have four sides and all their internal angles are exactly 90 degrees. Additionally, opposite sides of a rectangle have equal lengths and its perimeter is the total distance covered by its outside boundary.

Complete Question:

The shaded region between the graphs of y = − 2 x 2 + 20 and y = 3 x − 15 is displayed below. In the shaded region lies between x = -5 x = 7/2. A typical rectangle is shown in the diagram located at position x. What is the height of this rectangle, in terms of x?

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The height of the rectangle is equal to -2x² - 3x + 35.

The height of a rectangle can be found by subtracting the value of one of its side lengths from the value of the other side length.

We know that the height is equal to the difference between two side lengths, which are represented by the expressions y1 = -2x²+20 and y2 = 3x-15.

To find the height, we subtract y2 from y1:

y1 - y2 = (-2x²+20) - (3x-15) = -2x² - 3x + 35

So, the height of the rectangle is equal to -2x² - 3x + 35.

It is important to note that rectangles have four sides and all their internal angles are exactly 90 degrees. Additionally, opposite sides of a rectangle have equal lengths and its perimeter is the total distance covered by its outside boundary.

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Complete Question:

The shaded region between the graphs of y = − 2 x 2 + 20 and y = 3 x − 15 is displayed below. In the shaded region lies between x = -5 x = 7/2. A typical rectangle is shown in the diagram located at position x. What is the height of this rectangle, in terms of x?

HELP PLS ASAP!!!! !!!!

Answers

The money after 8 quarters is $4,324,500.

What is Exponential Function?

The formula for an exponential function is f (x) = aˣ, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Given the amount invested in the company = $5,000,000

interest loss in each quarter = 7%

the formula for exponential decay

y = a[tex](1 - r)^{t}[/tex]

here t = time in years

1 year = 4 quarter

8quater = 2 years

t = 2

r = rate = 7% = 0.07

a = $5,000,000

y = 5,000,000(1 - 0.07)²

y = $4,324,500

Hence the amount after 8 quarters is $4,324,500.

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at rush hour, two people per second step onto an escalator. the escalator takes 20 seconds to bring a person from the bottom to the top. how many people are on the escalator during rush hour? (round to the nearest integer)

Answers

The number of people on the escalator during rush hour will depend on how long rush hour lasts, so it is not possible to provide a single answer without knowing the length of rush hour.

At rush hour, two people per second step onto the escalator, so in one second, 2 people get on the escalator.

The escalator takes 20 seconds to bring a person from the bottom to the top, so for every 20 seconds, 2 people get on the escalator and 2 people get off the escalator.

To find the number of people on the escalator during rush hour, we need to determine the number of people on the escalator after a certain amount of time, say t.

The number of people on the escalator at time t can be calculated as follows:

people on the escalator at time t = 2 * t - 2 * floor(t / 20)

where floor(t / 20) represents the number of complete cycles (20 seconds each) that have occurred.

For example, if t = 40 seconds, then floor(t / 20) = 2, so the number of people on the escalator would be:

people on the escalator at time 40 = 2 * 40 - 2 * 2 = 76

The number of people on the escalator will continue to increase as long as rush hour continues, so it is not possible to give a single answer to the question "how many people are on the escalator during rush hour?" without more information.

In general, the number of people on the escalator during rush hour will depend on how long rush hour lasts, so it is not possible to provide a single answer without knowing the length of rush hour.

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The number of people on the escalator during rush hour will depend on how long rush hour lasts, so it is not possible to provide a single answer without knowing the length of rush hour.

At rush hour, two people per second step onto the escalator, so in one second, 2 people get on the escalator.

The escalator takes 20 seconds to bring a person from the bottom to the top, so for every 20 seconds, 2 people get on the escalator and 2 people get off the escalator.

To find the number of people on the escalator during rush hour, we need to determine the number of people on the escalator after a certain amount of time, say t.

The number of people on the escalator at time t can be calculated as follows:

people on the escalator at time t = 2 * t - 2 * floor(t / 20)

where floor(t / 20) represents the number of complete cycles (20 seconds each) that have occurred.

For example, if t = 40 seconds, then floor(t / 20) = 2, so the number of people on the escalator would be:

people on the escalator at time 40 = 2 * 40 - 2 * 2 = 76

The number of people on the escalator will continue to increase as long as rush hour continues, so it is not possible to give a single answer to the question "how many people are on the escalator during rush hour?" without more information.

In general, the number of people on the escalator during rush hour will depend on how long rush hour lasts, so it is not possible to provide a single answer without knowing the length of rush hour.

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What is the value of 83 dimes as a decimal number? $ . show your work

Answers

Answer: $8.30

Step-by-step explanation:

Multiply: 83 times 10. If it's in a decimal put the decimal after 8

PLEASE HELP ME
A circular mulch bed has a radius of 1.6 feet. A bag of mulch contains 2 cubic feet of mulch. If all of the mulch is spread evenly on the bed, what is the mulch's depth to an appropriate number of significant digits? A. 0.249 foot B. 0.2 foot C. 0.25 foot D. 0.2487
PLEASE SHOW WORK!!!

Answers

The correct answer is C. 0.25 foot.

To find the depth of the mulch, we need to determine the volume of the circular mulch bed and divide it by the area. The volume of a cylinder can be calculated as:

V = πr^2h

where r is the radius and h is the height (or depth) of the cylinder.

For the circular mulch bed, the radius is 1.6 feet and we want to find the height (or depth), so we can set the volume equal to the volume of the mulch:

V = π * 1.6^2 * h

V = 2 cubic feet

Solving for h:

h = V / (π * r^2)

h = 2 / (π * 1.6^2)

Using the value of π = 3.14, we get:

h = 2 / (3.14 * 1.6^2)

h = 0.24 inches

Therefore, the depth of the mulch is approximately 0.24 inches to the nearest hundredth of an inch, which is the appropriate number of significant digits.

To convert inches to feet, divide the number of inches by 12:

0.24 inches / 12 inches/foot = 0.02 feet

Rounding to the nearest hundredth of a foot, we get 0.25 feet as the answer.

The image of a trapezoid is shown.

What is the area of the trapezoid?

A 17.4 m2
B 20.3 M2
C 40.6 m2
D 69.6 M2

Answers

Check the picture below.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ b=\stackrel{4+7}{11}\\ h=5.8\\ a=3 \end{cases}\implies A=\cfrac{5.8(3+11)}{2}\implies A=40.6~m^2[/tex]

the solid with a semicircular base of radius whose cross sections perpendicular to the base and parallel to the diameter are squares

Answers

The solid with a semicircular base of radius "r" and cross sections perpendicular to the base and parallel to the diameter are squares is called a "right circular cylinder with a half-circle base".

The height of the cylinder is equal to the side length of the square cross sections, and the radius of the semicircular base is equal to "r". The volume of this solid can be calculated as follows:

V = (Pi * r^2 * h) / 2

where Pi is the mathematical constant pi (approx. equal to 3.14), r is the radius of the semicircular base, h is the height of the cylinder, and "/ 2" represents that the volume is half of a full cylinder with a complete circular base.

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Write the quadratic equation whose roots are -5 and -6, and whose leading coefficient is 1.

Answers

The quadratic equation is: y= (x^2+11x+30), whose roots are -5 and -6, and whose leading coefficient is 1.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

the quadratic equation whose roots are -5 and -6, and whose leading coefficient is 1.

If the roots of the quadratic equation are "-6" and "-5", then it must have the following factors:  (x+5) & (x+6)

Therefore, we can write the equation in factor form as:

y = a (x+5) * (x+6)

where a is a real number constant factor. Now, this equation in standard form will look like:

y= a(x^2+11x+30)

Therefore, using the information about the leading coefficient being "1" (one), we derive that the constant  factor  must be "1".

The final expression for the quadratic becomes:

y=(x^2+11x+30)

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which sets does square root of 7 belong to

Answers

Answer:

The square root of 7 lies between the perfect squares closer to 7. Thus, √7 lies between 2 and 3.

Step-by-step explanation:

best of luck to you

Simplify the expression.
4(q + 2) -6

Answers

Answer:

4q + 2

Step-by-step explanation:

4(q + 2) -6

4q + 8 -6

4q + 2

4(q+2)-6
distribute: 4q+8-6
subtract: 4q+2
common factor : 2(2q+1)
ANSWER: 2(2q+1)

Find values of the constants A, B, C, and D that make the following equation an identity (i.e., true for all values of x). 3x³+4x²-6x/(x²+2x+2)(x²-1) = Ax+B/x²+2x+2 + C/x-1 + D/x+1

Answers

By Solving the given identity equation we get A = 32/5, B = 36/5, C = 1/10 and D = -7/2.

Given  (3x³ + 4x² - 6x)/(x² + 2x + 2)(x² - 1) = (Ax + B)/(x² + 2x + 2) + C/(x - 1) + D/(x + 1)

Taking LCM in RHS

(3x³ + 4x² - 6x)/(x² + 2x + 2)(x² - 1) = ((Ax + B)(x² - 1) + C(x² + 2x + 2)(x + 1)+ D(x² + 2x + 2)(x - 1))/(x² + 2x + 2)(x² - 1)

3x³ + 4x² - 6x = Ax³ - Ax+ Bx² - B + C(x³ + 3x² + 4x + 2)+ D(x³ + x² -2)

3x³ + 4x² - 6x = (A + C + D)x³ + (B + 3C + D)x² +(-A + 4C)x - B + 2C -2D

Comparing coefficients of RHS with LHS

So, A + C + D = 3     --(1)

B + 3C + D = 4       --(2)

- A + 4C = -6      --(3)

- B + 2C -2D = 0       --(4)

We have 4 variables and 4 equations. Solving them, we get

A = 32/5, B = 36/5, C = 1/10 and D = -7/2

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Evaluate the expression using a calculator. Round your answer to two decimal places when appropriate.
Square root 5^32,768 =

Answers

The value of the given radical expression [tex]\sqrt[5]{32,768}[/tex] will be 8.

What is Algebra?

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

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

The radical expression is given below.

[tex]\rightarrow \sqrt[5]{32,768}[/tex]

The number 32,768 can be written as,

32,768 = 8 x 8 x 8 x 8 x 8

32,768 = 8⁵

Then the value of the expression is given as,

[tex]\rightarrow \sqrt[5]{32,768}\\\\\rightarrow \sqrt[5]{(8)^5}[/tex]

→ 8

The value of the given radical expression [tex]\sqrt[5]{32,768}[/tex] will be 8.

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Order the numbers from least to greatest.

Answers

Answer:

-3.5, -3, -2 1/2, -2, 2.5

Step-by-step explanation:

Answer:

-3.5,-3,-2 1/2,-2,2.5

classify each quantity as a vector, a scalar, or it cannot be determined. in the figure, arrow a has a magnitude of 13.0 and makes an angle =30.6∘ with the horizontal.

Answers

The  speed describes as :  A scalar quantity with magnitude only.

What is speed?

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

Some more information about speed:

When an object travels the same distance in the same amount of time, it is said to be moving at a uniform speed.

When an object travels a different distance at regular intervals, it is said to have variable speed.

Average speed is the constant speed determined by the ratio of the total distance travelled by an object to the total amount of time it took to travel that distance.

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This graph shows the line `3x+2y=18`. Select all of the points that are on this line.

Answers

Answer:

(6,0), (0,9), (2,6)

Step-by-step explanation:

If a point is on a line, then the equation should be true when you plug in the x and y values.

(0,6): 3*0+2*6 = 18 -> 12 = 18, false

(6,0): 3*6+2*0 = 18 -> 18 = 18, true

(0,9): 3*0+2*9 = 18 -> 18 = 18, true

(9,0): 3*9+2*0 = 18 -> 27 = 18, false

(2,6): 3*2+2*6 = 18 -> 18 = 18, true

What’s the answer to B

Answers

The equation to represent the distance is, y = 20/3 *x.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

they could ride 3 miles in 20 mints.

speed = 20/3

now, y is in mile the distance,

x is in mint the time

so, the equation to represent the distance is,

y = 20/3 *x.

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80 POINTS AND BRAINLIEST IF THIS IS ANSWERED (WITH STEPS PLS)

Answers

The total surface area of the prism is 204 cm²

what is a prism in math?

Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.

Given here: A prism with triangular base with three of its faces as rectangle and its bases triangles.

Thus total surface area is the sum of areas of all these 5 faces

TSA= Sum of the area of the two slanted rectangles + Sum of the two bases + the sum of the rectangle the prism is resting on in the figure

Now dimensions of the slanted rectangles are given by length =12 and breadth =5 and the dimensions of the last rectangle are length =12 and breadth = 6

∴ TSA= 2×12×5 +1/2 ×6×4 +12×6

         = 120+12+72

        =204 cm²

Hence, The total surface area of the prism is 204 cm²

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PLEASE HELP!!!
Pls, answer need it NOW :(((

Answers

Answer:

using the random numbers, we can determine that 5 servers will be correct.

Step-by-step explanation:

(this may be incorrect, but the if their success rate is 60% then it should be 7.2, but this is not what the question is asking)

Question 13 < > Given that the point (-48, -55) is on the terminal side of an angle, 0, find the exact value of the following: sin(0)- cos()- tan(0)- csc(0)- sec(0)- cot(0)-

Answers

The required values are sin θ = -55/73, cos θ = -48/73, tan θ = 55/48, cosec θ = 73/-55, sec θ = 73/-48, cot θ =48/55

Trigonometry is one of the most important branches in mathematics. The word trigonometry is formed by clubbing words 'Trigonon' and 'Metron' which means triangle and measure respectively. It is the study of the relation between the sides and angles of a right-angled triangle. It thus helps in finding the measure of unknown dimensions of a right-angled triangle using formulas and identities based on this relationship. Trigonometry basics deal with the measurement of angles and problems related to angles. There are three basic functions in trigonometry: sine, cosine, and tangent. These three basic ratios or functions can be used to derive other important trigonometric functions: cotangent, secant, and cosecant. All the important concepts covered under trigonometry are based on these functions. Hence, further, we need to learn these functions and their respective formulas at first to understand trigonometry.

Given the terminal point we know the following:

Adjacent = -48

Opposite = -55

Hypotenuse can use the Pythagorean Theorem to find:

c²=(-48)²+(-55)² = 5329

Take the square root of both sides

c=√5329 = 73

So, sin θ = -55/73

cos θ = -48/73

tan θ = 55/48

csc θ = 73/-55

sec θ = 73/-48

cot θ =48/55

Thus, the required values are sin θ = -55/73, cos θ = -48/73, tan θ = 55/48, csc θ = 73/-55, sec θ = 73/-48, cot θ =48/55

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can anyone answer -13b = 793

Answers

-61
-13b/-13 =b
793/-13 =-61
b = -61
-13 x -61 = 793

How do you convert 125 Kilogram (kg) to Pound (lb)?

Answers

Answer:

275.5

Step-by-step explanation:

In order to convert.

It is fairly simple, follow my directions and next time when you have a question similar to this you’ll know what to do!

1 kg = 2.2 lb. It is as simple as that!

So your question,

“ Convert 125 kilograms to pounds “

125x2.2 = 275 .

Our answer is very close to the verified one, so now you know how to convert kilograms to pounds!.

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56.69904625 kg in 125 lbs. Likewise the question how many pound in 125 kilogram has the answer of 275.577827731 lbs in 125 kg.

What is the pound equivalent of 125 kilograms?

125 kg*2.2046226218 lbs/1kg = 275.577827731 lbs

The weight of 125 kilograms is equivalent to 275.577827731 pounds (125kg = 275.577827731lbs). It is simple to convert 125 kg to lb. Simply use our calculator above or the method to convert 125 kg to pounds. To convert 125 kg to pounds, multiply the kilogram mass by 2.2046226218. The formula for converting 125 kilograms to pounds is [lb] = 125 * 2.2046226218. Thus, 125 kilos is 275.577827731 pounds.

One pound is about equivalent to 0.45359237 kilos (kg). The pound to kilogram conversion is accomplished by multiplying the provided pound value by 0.45359237. In addition, one kilogram is about equal to 2.2046226218 pounds.

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Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.

Answers

The quotient of the rational expression given is [tex]\frac{2x - 1}{3x}[/tex] , and option A is the correct answer.

What is rational expression?

The ratio of two polynomials is displayed in rational expressions. It indicates that the denominator and numerator are polynomials. It is an algebraic expression that has a ratio and an unknown variable, just like a fraction. Although we can simplify this kind of equation with the aid of a calculator.

Polynomial expressions must be set equal to zero in order to find the root or zero. However, once the expression has been condensed to its simplest form, we must only set the numerator equal to zero in order to obtain the zeros of rational functions or expressions.

The given rational expression is:

[tex]\frac{2x - 1}{x + 1}[/tex] ÷ [tex]\frac{3x^2}{x^2 + x}[/tex]

The rational expression can be written as follows:

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

Hence, the quotient of the rational expression given is [tex]\frac{2x - 1}{3x}[/tex] , and option A is the correct answer.

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find the area of a circle with a radius of 2.5 meters. Use 3.24 for pi. Round to the nearest tenth

Answers

The area of the circle is 19.625 m²

What is the area and circumference of a circle?

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: The radius of the circle 2.5 m

We know the area of the circle is given by

A=π×2.5²

 =3.14×6.25  where π=3.14

=19.625 m²

Hence, The area of the circle is 19.625 m²

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A utility company charges $0. 12 per kilowatt-hour for energy a customer uses. They give a credit of $0. 0025 for every kilowatt-hour of electricity a customer with a solar panel generates that they don't use themselves. A customer has a charge of $82. 04 and a credit of -$4. 10 on this mouth bill. How many kilowatt-hour did they generate that they didn't use themselves?

Answers

The 683.67 kilowatt-hour was charged while 1640 kilowatt-hour generated the credit by not being used.

The amount of electricity consumed will be calculated by the formula -

Amount of electricity consumed = total charged amount ÷ amount of unit electricity consumed

The amount of electricity that earned the credit will be calculated by the formula -

Amount of electricity that earned the credit = total reduction amount ÷ credit on unit electricity

Keep the values in formula

Amount of electricity consumed = 82.04/0.12

Performing division on Right Hand Side of the equation

Amount of electricity consumed = 683.67

Amount of electricity that earned the credit = 4.10/0.0025

Performing division on Right Hand Side of the equation

Amount of electricity that earned the credit = 1640

Thus, the amount of electricity consumed is 683.67 units and unused electricity is 1640 units.

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