Use the number line to explain why 2 is 10 times the value of 2.0

Answers

Answer 1

on the number line, 2.0 is to the right of 2, and multiplying 2.0 by 10 moves it 10 times as far to the right as 2.0 is from 2. This is why 2 is 10 times the value of 2.0.

What is the number line?

The number line is a visual representation of the set of all real numbers, which are the numbers that can represent any value on the continuous number scale, including fractions and decimals. On the number line, each point corresponds to a specific real number.

The number 2 is represented by a point on the number line, as is the number 2.0. These two numbers are different because 2.0 is a decimal number, while 2 is a whole number.

2 is 10 times the value of 2.0 if you multiply 2.0 by 10. This is because multiplying a number by 10 shifts its decimal point one place to the left, which increases its value by a factor of 10. For example, if you multiply 2.0 by 10, you get 20.0, which is 10 times the value of 2.0.

Hence, on the number line, 2.0 is to the right of 2, and multiplying 2.0 by 10 moves it 10 times as far to the right as 2.0 is from 2. This is why 2 is 10 times the value of 2.0.

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Related Questions

three men visit a barber shop on their schedule, jack visits every 18 days, bryce visits every 8 days, and jadon visits every 9 days. If all visit on the same day, how many more days before they will visit on the same day again?

Answers

The three men will visit the barber shop on the same day again in 72 days.

Three men visit a barber shop on their schedule, jack visits every 18 days, bryce visits every 8 days, and jadon visits every 9 days

We have to find the how many more days before they will visit on the same day again

We want to find the least common multiple (LCM) of 18, 8, and 9.

First, we can find the prime factorization of each number:

18 = 2 × 3 × 3

8 = 2 × 2 × 2

9 = 3 × 3

Next, we can take the highest power of each prime factor that appears in any of the numbers:

2³ × 3² = 72

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simplify the expression: 2.7-4.4n-3n+8

Answers

Answer:

-7.4n+10.7

Step-by-step explanation:

Combine like units, and you'll find the same answer as me.

Answer:

−7.4n+10.7

Step-by-step explanation:

Add 2.7 and 8.

−4.4n−3n+10.7

Subtract 3n from −4.4n

Find the measure of angle NXO. The measure of angle MXO is 110*​

Find the measure of angle NXO. The measure of angle MXO is 110*

Answers

Answer:

60º

Step-by-step explanation:

NXO = MXO - MXN

NXO = 110 - 50

NXO = 60

Perimeter of following rectangle mixed number in simplest form 1 1/3 ft 5/8 ft

Answers

Answer: 3 11/12

Step-by-step explanation:

1 1/3 * 2 = 2 2/3

5/8 * 2 = 1 1/4

2 2/3 + 1 1/4 = 3 11/12

Timothy puts $1,500 into a savings account. He receives a
1.35% interest rate from his bank. If he doesn't add any
money to the account and only collects interest, how much
will he have by the time he graduates from high school 40
months later?

Answers

Answer:

the answer is $2310

21x² - 2x + 1/2 =0

find the following quadratic equation by factorization method
PLESE SOMEONE HELP

Answers

Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

(i) Write the zeroes of the polynomial by using above graph.
(ii)Form a quadratic polynomial for above graph.
(iii)If a,1/a are the zeroes of polynomial 2x² -x +8k, then find the value of k.

please answer
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(i) Write the zeroes of the polynomial by using above graph. (ii)Form a quadratic polynomial for above

Answers

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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Please help with this question

Please help with this question

Answers

Answer:

D

Step-by-step explanation:

The first equation would have to have a y-intercept of 4, and the second equation would have to have a y-intercept of -1.

-hope it helps

Answer: what the actual fudge is this?? i am a former harvard professer for math and I have never seen such a monstrocity of a math question, but the answer is the first one.

Step-by-step explanation:

how would you simplify (6 to the 2nd power ) to the 4 power

Answers

Answer:

6⁸

1679616

Step-by-step explanation:

When you exponent an exponent, you multiply the 2 powers together:

(6²)⁴

2(4) = 8

6⁸

Answer:

6^8

Step-by-step explanation:

(6^2)×4

multiply

6^8

when solving the equation 5x-3=5, MaReeco rewrote the equation as 5x =2.Did MaReeco perform an acceptable move to this equation? why or why not?​

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

\(5x-3=5\)

MaReeco's rewrote equation is given by

\(5x = 2\)

As MaReeco subtracted 3 to the right side of the equation, which imbalanced the equation. Hence, it is not correct.

Correction:

For the next step, MaReeco should have added 3 to both sides

i.e.

\(5x-3+3=5+3\)

\(5x=8\)

Therefore, the acceptable move would have been:

\(5x=8\)

50 POINTSS Solve for q.

s = 4p + 4q

50 POINTSS Solve for q.s = 4p + 4q

Answers

the answer is Q = s/4 - P

Please help I will mark BRAINLIEST ​

Please help I will mark BRAINLIEST

Answers

Answer:

The area is 7986m^2

Step-by-step explanation:

But the real thing u would say is the area is 7986.<3

Answer:

The answer would typically be 7986m^2 !.

A system of equations is given.

Equation 1: 4x − 6y = 10
Equation 2: 9x + 2y = 7

Explain how to eliminate x in the system of equations.

Answers

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

Show that Polygon ZSCH
is a Scaled copy of
Polygon XJYN.

Show that Polygon ZSCHis a Scaled copy ofPolygon XJYN.

Answers

As ratio is not given, we cannot prove that they are scaled copy.

Define scaled copy.

Corresponding portions, or parts that are at the same location in relation to the remainder of each figure, exist in both the original figure and its scaled copy. These components could be angles, points, or segments. Polygon 2, for instance, is a scaled-down version of Polygon 1. There is a point in Polygon 2 for each point in Polygon 1.

Given,

Polygon ZSCH is a Scaled copy of Polygon XJYN.

We simply calculate the ratio of the lengths of the two corresponding sides of two polygons to determine the scale factor. The scaling factor is known as such and the polygons are similar if the ratio is the same for all matching sides.

As ratio is not given, we cannot prove that they are scaled copy.

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Q. What is 40% of 230?

Answers

Answer:

Its 92 :D

Step-by-step explanation:

Answer: 92

Step-by-step explanation:

What polynomial must be added to -3c^{2} +3 -6c in order to get a sum of 2c^{2} -c+5

Answers

The polynomial that added to \(-3c^{2}+3-6c\) in order to get a sum of \(2c^{2}-c+5\) is \(5c^{2}+5c+2\)

Given,

The first polynomial =  \(-3c^{2}+3-6c\)

The result =  \(2c^{2}-c+5\)

Then,

\(-3c^{2}+3-6c\) + second polynomial =  \(2c^{2}-c+5\)

The second polynomial =   \(2c^{2}-c+5\) -( \(-3c^{2}+3-6c\) )

\(=2c^{2}-c+5+3c^{2}+6c-3\\ =(2+3)c^{2}+(-1+6)c+(5-3)\\ =5c^{2}+5c+2\)

Hence, the polynomial that added to \(-3c^{2}+3-6c\) in order to get a sum of \(2c^{2}-c+5\) is \(5c^{2}+5c+2\)

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The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?

Answers

The total volume of the air space of spherical ball is A = 12.265625 inches³

Given data ,

Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.

The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.

The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.

The formula for the volume of a cylinder is:

V = πr²h

V = ( 3.14 ) ( 1.25 )² ( 7.5 )

V = 36.796875 inches³

where V is the volume, r is the radius, and h is the height.

So, the volume of the one ball is:

V₁ = ( 4/3 )π(1.25)³

V₁ = 8.177083 inches³

The total volume of three balls is = volume of 3 spherical balls

V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches

Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³

A = 12.265625 inches³

Hence , the volume of air space is A = 12.265625 inches³

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Eastern Aviation Equipment pays Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month. Assume Donald's sales were $90,800 for last month. Calculate the following amounts:
1. Amount of Commission:
2. Gross Pay: ​

Answers

The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656

What is an equation?

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let y represent the gross pay for x total sales.

Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:

y = 1760 + 12% of x

y = 0.12x + 1760

Donald's sales were $90,800 for last month. Hence:

a) Commission = 0.12 * $90800 = $10896

b) Gross pay:

y = 10896 + 1760 = $12656

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Fill in the blank to complete the equation below.

12 + 16
= 2(___ + 8)
PLEASE HELP ASAP

Answers

the answer is 6
i just did the work
I think the answer is 6

PLEASE HELP DUE IN 1 HOUR

PLEASE HELP DUE IN 1 HOUR

Answers

The 3rd and 4th expressions cannot be simplified using the quotient rule for exponents

How to determine expressions that cannot be simplified using the quotient rule for exponents?

The quotient rule for exponents states that if you have two exponents, and you want to divide them, you can do so by subtracting the exponent of the denominator from the exponent of the numerator.

The general form of the quotient rule:

xᵃ / xᵇ = xᵃ⁻ᵇ

Given:

(3²9⁻¹2³)/(8⁵7⁻²)

(3²9⁻¹2³)/(8⁵7⁻²) = (3² × 3²⁽⁻¹⁾ × 2³)/(8⁵×7⁻²)

                        = (3² × 3⁻² × 2³)/(2³⁽⁵⁾ ×7⁻²)

                        = (3²⁺⁽⁻²⁾ × 2³)/(2¹⁵ × 7⁻²)

                        = (3⁰ × 2³)/(2¹⁵ × 7⁻²)

                        = (1 × 2³)/(2¹⁵ × 7⁻²)

                        = (2³)/(2¹⁵ × 7⁻²)

                       = 2³⁻¹⁵ × 7²    ( quotient rule is used here)

                       = (2⁻¹²) (7²)

(4⁻²x⁻¹)/(4⁻¹x⁻²)

(4⁻²x⁻¹)/(4⁻¹x⁻²) = 4⁻²⁻⁽⁻¹⁾ × x⁻¹⁻⁽⁻²⁾  ( quotient rule is used here)

                       = 4⁻²⁻⁽⁻¹⁾ × x⁻¹⁻⁽⁻²⁾

                       = (4⁻¹) (x¹)

(6x⁻⁸z²)(6⁵x⁻¹z²)

(quotient rule cannot be used to simplify this expression because the two expressions are multiplying each other)

(q⁻⁵r¹¹)/(s⁶t⁻¹⁵)

(quotient rule cannot be used here  because there are no like bases)

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what is the slope of the line?

what is the slope of the line?

Answers

Answer:

-1

Step-by-step explanation:

the slope of the line is given by the equation m=(y2-y1)/(x2-x1)

here the line passes with the coordinate (-2,0),(0,-2)

m=(-2-0)/(0-(-2))

 = -2/2

 = -1

what is −2(x+6)=4x

x=

Answers

Answer:

x=-2

Step-by-step explanation:

Distribute, add 12 to both side, then simplify

Answer: -2

Let's solve your equation step-by-step.

−2(x+6)=4x:

Step 1: Simplify both sides of the equation.

−2(x + 6) = 4x

(−2)(x) + (−2)(6) = 4x (Distribute)

−2x + (−12) = 4x

−2x − 12 = 4x

Step 2: Subtract 4x from both sides.

−2x − 12 − 4x = 4x − 4x

−6x − 12 = 0

Step 3: Add 12 to both sides.

−6x − 12 + 12 = 0 + 12

−6x = 12

Step 4: Divide both sides by -6.

−6x/−6 = 12/−6

x = −2

a linear function contains the following points

what are the slope and y-intercept of this function

A. the slope is -1/4. the y-intercept is (0,5)

B. the slope is 1/4. the y-intercept is (0,5)

C the slope is 4. the y-intercept is (5,0)

D the slope is -4. the y-intercept is (0,5)​

a linear function contains the following pointswhat are the slope and y-intercept of this function A.

Answers

Answer: choice (B)

Step-by-step explanation:

(-4,4)

(0,5)

slope=  \(\frac{5-4}{0-(-4)}= \frac{1}{4}\)

The perimeter of the rectangle below is 76 units. Find the value of y.

Answers

The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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A house plan shows a scale of 1:40. If the rectangular lounge room of the house is to measure 4.5 metres by 6.3 metres, What are the dimensions of the room on the plan?​

Answers

Answer:

.112 m by .157m OR 4.43 by 6.20 in

Step-by-step explanation:

The scale is 1:40, meaning that if the house plan shows 1 of something, the real life version is 40 times larger. Given this information:

4.5 m by 6.3 m is the ACTUAL SIZE.

Given this, we need to divide by 40 to get the room PLAN.

0.1125 by 0.1575 meters, OR 4.42913386 by 6.2007874 inches.

Simplifed,

.112 m by .157m OR 4.43 by 6.20 in

:)

Need help please thank you

Need help please thank you

Answers

Answer:

first term (a1) = 3/2

common difference (d) = 7/4-3/2 = 1/4

PLEASE HELP!!!!!!! GIVING BRAINLIEST!!!!!!!

PLEASE HELP!!!!!!! GIVING BRAINLIEST!!!!!!!

Answers

Answer:

side CB

Step-by-step explanation:

draw triangles ABC and ACD next to each other

The longer leg of the triangle ABC is CB, which corresponds with the longest leg of ACD, which is side CD

Answer:

corresponded side

CD=CD

AC=AB

AD=AC

True/False Review and Chapter SummaryUse your knowledge of argument forms and the counterexample method to determine which, if any, of the following statements are true.Check all that apply.Every argument form is either a valid form or an invalid form.Counterexamples are used to prove the validity of an argument.When attempting to give a counterexample, you should substitute terms or statements that will yield premises and a conclusion with indisputable truth values.In an argument form for a hypothetical syllogism, the letters will stand for statements.A substitution instance with true premises and a true conclusion will not prove that an argument form is valid.A counterexample may have false premises and a false conclusion.A substitution instance is a representation of the logical structure of an argument using form words and letters.To represent the logical relationships in an argument, an argument form uses capital letters as a replacement for the meaningful content.Any set of sentences such that some are true and another is false is a counterexample to every invalid argument form.Not all valid arguments have the same argument form.Some valid arguments are substitution instances of invalid argument forms.If an argument is a substitution instance of both a valid argument form and an invalid argument form, then the argument is valid.Since it is impossible for the premises to be true and the conclusion to be false when an argument is valid, it follows that no counterexample can be given to a valid argument form.It is possible to give a counterexample to a valid argument that has false premises and a false conclusion.Some invalid arguments have valid argument forms.

Answers

Answer:

Variable data is defined as information and figures used to build control charts. Variable data can be used to create average (X-bar) charts, range charts, and sample standard deviation charts or "S-charts."

Use an associative law to find an expression equivalent to
s + (r + 75)

Answers

As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.

Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:

s + (r + 75) = (s + r) + 75

The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.

Let's take an example to illustrate this:

Suppose s = 10 and r = 20.

Using the original expression:

s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105

Using the expression with regrouped terms:

(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105

As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

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885 ÷ 4. Write the quotient and remainder

Answers

Answer:

221 remainder 1

Step-by-step explanation:

885/4 is equal 221.25

This means that the quotient is 221, and when multiplying 221 by four gets us 884. 885 - 884 has a remainder of 1

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