If one book is 2.5 inches wide and another is 1.754 inches wide, how much wider is the first?

Answer:

C

Step-by-step explanation:

Taking a square root of a number that doesn't have a square root like [tex]\sqrt{17}[/tex] will result in an infinite number of random digits which is an irrational number. Hence, C is the answer.

D isn't the answer because even though [tex]\sqrt{5}[/tex] is irrational, you're adding [tex]\sqrt{5}[/tex] and then subtracting [tex]\sqrt{5}[/tex] from the total sum. Hence the total sum would be 5+14.

5+[tex]\sqrt{5}[/tex]+14-[tex]\sqrt{5}[/tex] =5+14+[tex]\sqrt{5}[/tex]-[tex]\sqrt{5}[/tex]= 5+14 ==> 19 is a rational number

Answer:

x = -54

Step-by-step explanation:

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

[tex] \sf \: `-\frac{1}{3}x=18`[/tex]

Step 1: Multiply both sides by 3/(-1).

[tex] \sf( \frac{3}{ - 1} ) \times ( \frac{ - 1}{3} x) = ( \frac{3}{ - 1} ) \times (18)[/tex]

[tex] \sf \: x = - 54[/tex]

No.

The intermediate value theorem (IVT) says that if [tex]f(x)[/tex] is continuous on [tex][a,b][/tex], and if [tex]d[/tex] is a number between

[tex]\min\{f(a),f(b)\} \le d \le \max\{f(a),f(b)\}[/tex]

then there is some [tex]c\in(a,b)[/tex] such that [tex]f(c) = d[/tex].

In this case we have for all [tex]x\in[5,6][/tex],

[tex]-5 \le f(x) \le 5[/tex]

0 falls in this range, so by continuity of [tex]f[/tex] and the IVT, there must be some number [tex]x\in(5,6)[/tex] such that [tex]f(x) = 0[/tex].

A triangle with two angles measuring 45⁰ and 92⁰ is an obtuse scalene triangle. The answer is A.

A triangle is a two-dimensional shape that has three sides and three angles. The sum of its interior angles is 180⁰.

If two angles of a triangle have measures 45⁰ and 92⁰, solving for the third angle

180⁰ = 45⁰ + 92⁰ + third angle

third angle = 43⁰

If a triangle has an angle greater than 90⁰, then it is an obtuse triangle.

If a triangle has angles less than 90⁰, then it is an acute triangle.

If a triangle has an angle equal to 90⁰, then it is a right triangle.

An isosceles triangle is a triangle with two congruent sides and congruent base angles (2 angles are equal).

An equilateral triangle is a triangle with all three sides equal and all three angles are of equal measures.

A scalene triangle is a triangle with no sides are equal and no angle are equal also.

Since our triangle has 3 unique angles: 43⁰, 45⁰, and 92⁰, with one angle greater than 90⁰, then it is an obtuse scalene triangle.

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Answer:

Step-by-step explanation:

30

Step-by-step explanation:

以下の情報を添えて、このチラシを当社の登録従業員の 1 人に渡してください。 より多くのチラシを提出した先生がピザ パーティーを勝ち取ります。

The complete sentence is 3 mi ≈ 4.827 km

The open sentence is given as:

3mi ≈ ____ km

In the standard unit of conversion, we have

1 mi ≈ 1.609 km

Multiply both sides by 3

3 * 1 mi ≈ 1.609 km * 3

Evaluate the product

3 mi ≈ 4.827 km

Hence, the complete sentence is 3 mi ≈ 4.827 km

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The five-number summary is:

Minimum: 9

First Quartile: 16.5

Median: 25.5

Third Quartile: 39

Maximum: 51

3. Range = 42

4. Interquartile range = 22.5

Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:

1. The numbers in ordered from the smallest to the largest would be:

9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51

2. The five-number summary for the lengths in minutes would be:

3. Range of the data = max - min = 51 - 9 = 42

4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5

Interquartile range for the data set = 22.5

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Step-by-step explanation:

multiply through by the LCM=3x-7

4(3x-7)-5=4(3x-7)

12x-28-5=12x-28

The integer coefficient of x on both sides of the equation=+12 so there's no integer solution for the equation

The solution is an infinite solution.

An infinite solution can be defined as a solution with both sides equal to each other

Given the expression;

-15 - 3w = 4w - 2w

Let's simply the expression

Collect like terms

- 3w - 4w + 2w = 15

Add or subtract like terms

-5w = 15

Make 'w' the subject

w = 15/ -5

w = -3

Thus, the solution is an infinite solution.

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The average rate of change over the entire slide if the height of the slide is 2 feet is; -3.9

Average rate of change is defined as a measure of how much the function changed per unit, on average, over that interval.

First, we will calculate the average rate from x = 0 to x = 15:

We have:

R = ((80 - 10)/(0 - 15))

R = -4.667

Let us now calculate average rate of change for the entire interval supposing that the height of the slide is 2 feet,:

From x = 0 to x = 20, we have;

R = ((80 - 2)/(0 - 20))

R = -3.9

Thus, we can conclude that the average rate of change over the entire slide is; -3.9

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Answer:

slower than & -3.9

Step-by-step explanation:

By using area formula, we get base is [tex]20 m[/tex]

What do you mean by area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. For instance, On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Given that:

Area of a rhombus is [tex]400 m^{2}[/tex]

Height  of a rhombus is [tex]20 m[/tex]

We know that,

Area of rhombus = base × height

Substituting area and height in above formula

[tex]400[/tex] = base × [tex]20[/tex]

∴ Base = [tex]\frac{400}{20}[/tex]

           =[tex]20[/tex]

Therefore, by using area formula, we get base of a rhombus is [tex]20 m[/tex]

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Because of differences in the given dimensions, two students have different calculated areas when measuring the same rectangle.

So,

1st students measurement:

2nd students measurement:

The formula of area:

1st students measurement:

2nd students measurement:

Therefore, because of differences in the given dimensions, two students have different calculated areas when measuring the same rectangle.

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The complete question is given below:

Calculating the area of a rectangle

Your measurements Another student's measurements

Length (cm) 20.70 20.74

Width (cm) 10.44 10.46

Area (cm2)

Required:

Why might two students have different calculated areas when measuring the same rectangle?

Answer:

3m + 4 is the answer obtained after combining like terms

The image of ΔHOP with coordinates H(2,1), O(-3,4), and P(5,7).

(a) after 90° clockwise rotation is H'(1,-2,),O'(4,3),P'(7,-5) ,

(b) after 90° counterclockwise rotation is H''(-1,2),O''(-4,-3),P''(-7,5) ,

(c) after 180° rotation is H'''(-2,-1),O'''(3,-4),P'''(-5,-7) .

When a point (x,y) is rotated 90° in clockwise about the origin then the image after rotation becomes (y,-x) .

When a point (x,y) is rotated 90° in counterclockwise about the origin then the image after rotation becomes (-y,x) .

When a point (x,y) is rotated 180° about the origin then the image after rotation becomes (-x,-y) .

Part(a)

The ΔHOP with coordinates H(2, 1), O(-3, 4), and P(5, 7) is rotated 90° in clockwise direction ,

we know the points (x,y) becomes (y,-x),

So the image of ΔHOP after rotation becomes H' , O' , P'   .

H(2, 1) → H'(1,-2)

O(-3, 4) → O'(4,3)

P(5,7) →  P'(7,-5)

Part(b)

The ΔHOP with coordinates H(2, 1), O(-3, 4), and P(5, 7) is rotated 90° in counterclockwise direction ,

we know the points (x,y) becomes (-y,x),

So the image of ΔHOP after rotation becomes H'' , O'' , P''   .

H(2, 1) → H''(-1,2)

O(-3, 4) → O''(-4,-3)

P(5,7) →  P''(-7,5)

Part(c)

The ΔHOP with coordinates H(2, 1), O(-3, 4), and P(5, 7) is rotated 180°,

we know the points (x,y) becomes (-x,-y),

So the image of ΔHOP after rotation becomes H''' , O''' , P'''   .

H(2, 1) → H'''(-2,-1)

O(-3, 4) → O'''(3,-4)

P(5,7) →  P'''(-5,-7)

Therefore , The image of ΔHOP

(a) after 90° clockwise rotation is H'(1,-2,),O'(4,3),P'(7,-5) ,

(b) after 90° counterclockwise rotation is H''(-1,2),O''(-4,-3),P''(-7,5) ,

(c) after 180° rotation is H'''(-2,-1),O'''(3,-4),P'''(-5,-7) .

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Answer:

D

Step-by-step explanation:

the picture

The perimeter of the triangle ABC is approximately equal to 35.633 units.

In this problem we find the locations of the three vertices of the triangle and from which we have to calculate the length of each of the three sides. The perimeter is the sum of the three lengths. First, determine the vectors of each side:

AB = (2, - 9) - (- 3, 2)

AB = (5, - 11)

BC = (0, - 10) - (2, - 9)

BC = (- 2, - 1)

AC = (0, - 10) - (- 3, 2)

AC = (3, - 12)

Second, calculate the magnitudes of the three sides:

AB = √[5² + (- 11)²]
AB = √146

BC = √[(- 2)² + (- 11)²]

BC = 5√5

AC = √[3² + (- 12)²]

AC = 3√17

Third, add the three lengths to find the perimeter:

p = √146 + 5√5 + 3√17

p ≈ 35.633

The statement reports a typing mistake that it would take a triangle for an angle, which is absurd since angles only have one vertex. Correct statement is shown below:

Find the perimeter of Δ ABC to the nearest hundred, given the coordinates of its vertices A(x, y) = (- 3, 2), B(x, y) = (2, - 9) and C(x, y) = (0, - 10).

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Answer: 3070

Step-by-step explanation:

The required equation of line is: [tex](y - 4)= \frac{3}{5}(x+6)[/tex]

Given:

To find: Equation of new line

Finding:

=> y = [tex]\frac{5}{3} (1-x) = \frac{-5}{3}(x-1)[/tex]

We get: m = -5/3 and [tex](x_0,y_0)[/tex] = (1,0) for the given line.

Slope of the new line = m' = [tex]\frac{-1}{m} = \frac{3}{5}[/tex]

Hence, On substituting the values for [tex](x_0,y_0)[/tex] and m', we get the equation of the new line as:

[tex](y - 4)= \frac{3}{5}(x+6)[/tex]

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30 10×3=30 that how you get it

Analysis of data that reveals a correlation coefficient of 0.77 shows  a strong relationship between variables.

Correlation can be defined as any statistical relationship, whether causal or not, between two random variables or bivariate data. The type of correlation that we have include;

A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement while a correlation that is between 0.6 and 0.9 are classified as a strong relationship.

Hence we can conclude that analysis of data that reveals a correlation coefficient of 0.77 shows  a strong relationship between variables.

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The inequalities that represent the problem is 5h + 2.50t ≤ 60

Each hamburger costs $5 and each taco costs $2.50.

He has a total of $60 to spend on hamburgers and tacos.

The inequalities that would be used to  represent the possible values for the number of hamburgers purchased, h, and the number of tacos purchased, t is as follows:

Therefore,

h = number of hamburgers purchased

t = the number of tacos purchased

Hence,

5h + 2.50t ≤ 60

Therefore, the inequalities that represent the problem is 5h + 2.50t ≤ 60

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Step-by-step explanation:

"complimentary" means together they have 90°.

"supplementary" means together they have 180°.

which can be easily and quickly found on any internet search.

7.

A = 70°

A + B = 90°

70 + B = 90

B = 90 - 70 = 20°

B + C = 180°

20 + C = 180

C = 180 - 20 = 160°

8.

A + B = 90°

B + C = 180°

C = 100°

B + 100 = 180°

B = 180 - 100 = 80°

A + 80 = 90

A = 90 - 80 = 10°

If Mei spent $66 buying fabric that costs $7.50 per yard, then she bought 8.8 yards of fabric

Given,

The total amount Mei spent = $66

Cost of fabric = $7.50 per yard

How many yards of fabric Mei bought= Total amount she spent / Cost of fabric

Substitute the values and divide it

How many yards of fabric Mei bought = [tex]\frac{66}{7.50}[/tex]

=8.8 yards

Hence, if Mei spent $66 buying fabric that costs $7.50 per yard, then she bought 8.8 yards of fabric

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The equivalent of the given expression ( (4 1/2)x - 3 ) + ( -2 + (1 3/4)x ) is (6 1/4)x - 5.

Given the expression in the question;

( (4 1/2)x - 3 ) + ( -2 + (1 3/4)x )

First, convert the mixed fractions into an improper fractions.

( (4 1/2)x - 3 ) + ( -2 + (1 3/4)x )

( (4×2 + 1/2)x - 3 ) + ( -2 + (1×4 + 3/4)x )

( (8 + 1/2)x - 3 ) + ( -2 + (4 + 3/4)x )

( (9/2)x - 3 ) + ( -2 + (7/4)x )

Now, remove the parenthesis and collect like terms

(9/2)x - 3 + -2 + (7/4)x

(9/2)x + (7/4)x - 3 - 2

9x/2 + 7x/4 - 5

Now, add the two fractions containing x

(9x × 4)+(7x × 2)/8 - 5

( 36x + 14x )/8 - 5

50x/8 - 5

(50/8)x - 5

(25/4)x - 5

Convert 25/4 into an improper fraction

(6 1/4)x - 5

Therefore, the equivalent of the given expression ( (4 1/2)x - 3 ) + ( -2 + (1 3/4)x ) is (6 1/4)x - 5.

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Answer:

4.875 × 105^5

Step-by-step explanation:

Answer:

2(x^9)(y^2)

Step-by-step explanation:

I just did quick math on this one, but you combine like terms on the top then divide by the bottom terms...

The number of can collected by Carrie after one week if the pattern continued will be; 105 cans and hence, she met her goal.

It follows from the task content that Carrie's target for can collection was 100 units of can collected over 1 week.

Since, one week contains seven, 7 days, it follows that she has 7 days to meet her target.

Following from observation, she increased the number of cans collected each day following a pattern; 7, 8, 10, 13.... where the difference between two successive days increases by 1 each time.

Hence, the number of cans collected for the rest of the days are as follows;

Therefore, the total number of cans collected is; 7 + 8 + 10 +13 + 17 + 22 + 28 = 105 cans and hence, she meets her goal.

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Answer:

12a

Step-by-step explanation:

The equation is 6.5 (r-1) + 5.5  = 259 or 6.5 r - 1 = 259.

In this case, r stands for the overall number of rows.

The answer indicates that each row is 6.5 cm tall.

A formula known as an equation uses the equals sign (=) to express how two expressions are equal. The word "equation" and its cognates in other languages may have slightly different meanings. For instance, in French, an equation is defined as having one or more variables, while in English, any well-formed formula consisting of two expressions related with an equals sign is an equation. The task of solving an equation with variables entails figuring out which values of the variables cause the equality to hold true. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Identity equations and conditional equations are the two types of equations.

The height of the top row is 6.5 - 1 = 5.5 cm.

Except for this row, there are total rows of = (r-1)

So, 6.5 is the total length of these rows (r-1)

The overall length of the wall is therefore equal to the sum of the (r-1) row and the top row.

However, once more in line with the inquiry,

Exactly 259 centimeters must be on the wall.

⇒ 259 = 6.5(r-1) + 5.5

⇒ 6.5(r-1) + 5.5 = 259

⇒ 6.5 r - 6.5 + 5.5 = 259

⇒ 6.5 r - 1 = 259

Which is the required equation for finding the number of rows (r).

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Answer:

Below in bold.

Step-by-step explanation:

4(5x + 6) = 12

20x + 24 = 12

20x = -12

x = -12/20 = -3/5

-3(2x - 4) = 18

-6x + 12 = 18

-6x = 6

x = -1.

26 = 2(3x - 2)

26 = 6x -4

30 = 6x

x = 30/6 = 5.