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The solution of the equation 2/y + 1/2 = 5/2y is y = 1

In this question, we have been given an equation.

2/y + 1/2 = 5/2y

We need to find the solution of given equation.

⇒ 2/y + 1/2 = 5/2y

⇒ (4 + y)/2y = 5/2y

⇒ 4 + y = 5

⇒ y = 5 - 4

⇒ y = 1

We need to check above solution.

So, substitute y = 1 in given equation.

⇒ 2/y + 1/2 = 5/2y

⇒ 2/(1) + 1/2 = 5/2(1)

⇒ 2 + 1/2 = 5/2

⇒ 5/2 = 5/2

⇒ LHS = RHS

Therefore, the solution of the equation 2/y + 1/2 = 5/2y is y = 1

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Answer: 8 dollars and 10 cents

Step-by-step explanation:

5.40 divided by 12 = .45

This means that each juice costs 45 cents

.45x18=8.10

Answer:

$8.10

Step-by-step explanation:

$5.40/12=$0.45 $0.45*18=$8.10

Answer:

Step-by-step explanation:

Probability that either his partner or the pile have the joker from the deck of 43 cards including one joker ,four players each have 10 cards and 3 cards in a pile is 13/33.

As given,

Total number of cards=43

Number of cards with each players =10

Number of cards in a pile =3

Greg doesn't have joker

Total cards left = 43-10

                       = 33

Probability either his or the pile have the joker = (10 +3)/33

                                                                         = 13/33

Therefore, probability that either his partner or the pile have the joker is 13/33.

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The total cost of the shirts that the foreign student buy will be 48.71 Krona.

From the information, the person finds a special deal, 7 t-shirts for $07.93, that she would like to purchase for her family.

Therefore, the total cost will be:

= $7.93 / 7 × 5

= $5.66

Therefore, the amount when converted to Krona will be:

= $5.66 × 8.6064

= $48.7

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Answer:

The answer is C "608.313 Krona"

Step-by-step explanation:

Got it right on my quiz.

The value of the expression (7 - 1/4 × ✓16)² + (2 - 5)² is 45.

Based on the information given, the expression will be:

(7 - 1/4 × ✓16)² + (2 - 5)²

= (7 - 1)² + (-3)²

= 6² + 3²

= 36 + 9

= 45

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To make a line perpendicular, flip the denominator and numerator of the slope and make it positive if it was negative or negative if it was positive.

In this case, our slope is 3, so to make a perpendicular line, it would become: [tex]-\frac{1}{3}[/tex]

Now to make it pass through -6, 3 we need to plug in those numbers, and we'll be removing the 3 added at the end.

x = -6

y = 3

y = x

3 = [tex]-\frac{1}{3}[/tex](-6)

3 = 2

In order to make this true, we need to add 1 to the right side.

3 = 2 + 1

3 = 3

So, the equation would be  [tex]y=-\frac{1}{3}x+1[/tex]

The sum of the given finite series is 2140

Sum notation is used to express long summation into a single formula.

Properties of sum operator:

[tex]\sum\limits^{40}_{n=1} {(3n-8)}=\sum\limits^{40}_{n=1} {3n}-\sum\limits^{40}_{n=1} {8}[/tex]

[tex]=3\sum\limits^{40}_{n=1} {n}-\sum\limits^{40}_{n=1} {8}[/tex]

[tex]=3\sum\limits^{40}_{n=1} {n}-8\times40[/tex]

[tex]=3(1+2+...+40)-8\times40[/tex]

[tex]=3.\frac{40}{2}. (1+40)-320[/tex]

= 2140

Hence, the sum of the given finite series is 2140

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The expression given by (1/2)⁻¹ is equivalent to 2

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

(1/2)⁻¹

Taking the negative one exponent gives:

= 2 / 1

Simplifying the equation gives:

= 2

The expression given by (1/2)⁻¹ is equivalent to 2

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Answer:

y=17.50n+80.00 202.50

Step-by-step explanation:

y=17.50n+80.00

N is hours

Make N=7

17.50*7=122.50

80+122.50=202.50

A group of products are averaged to determine central tendency using the geometric mean. The geometric mean of 7 and 12 is 2√21.

The geometric mean in mathematics is a mean or average that, by using the product of the values of the numbers, shows the center tendency or usual value of a set of numbers.

The geometric mean, sometimes known as the compounded annual growth rate, is a tool used in finance to determine average growth rates.

The Geometric Mean (GM) is the average value or mean that reveals the central tendency of a group of numbers by adding up the values of those numbers.

Formula to calculate Geometric Mean is

x = √(a × b)

Where, a = 7 and b = 12

x = √(7 × 12)

x = √(7 × 4 × 3)

x = 2√21

The value of x = 2√21.

Therefore, the geometric mean between the pair of numbers 7 and 12 is 2√21.

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The correct statements for the function are given as follows:

A. The domain for the function is all real values.

B. The range for the function is the set {-5}.

For this problem, the function assumes the value y = -5 for all real values of x, hence statements A and B are correct, while D is not.

The graph also represents a function, as each value of x is associated with only one value of y.

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The number of hours that the kayak rented for the total costs to be the same will be 2 hours.

At 1 hour, the cost will be:

y = 7x + 9

= 7(1) + 9 = 16

At 2 hours, cost will be:

y = 7x + 9

y = 7(2) + 9

= 23

It should be noted that in the table, at 2 hours the cost is $23 also. Therefore, the number of hours that the kayak rented for the total costs to be the same will be 2 hours.

Also, shop B charges less per hour.

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Check the picture below.

notice, the function namely f(x) or "y", has a hole at (-3 , 2), that means that the values for the range are anything less than 2, but never 2, so 1.1 is ok, 1.99 is also good, 1.999999999999999 is also ok, but never 2, thus y < 2.

Let's also notice, the arrowhead means the graph keeps on going to the left as well as to the bottom.

The average temperature decrease of -6.5 degrees/km Celsius is known as Normal lapse rate.

Normal lapse rate is defined as the decrease in the temperature while moving upwards in the atmosphere. Normally, the rate of decrease is 1 degree Celsius for every 165 meter rise in altitude or we can say that it is 6.5 degree Celsius for every 1 km rise in altitude.

This lapse rate is known as normal lapse rate or environmental lapse rate.

This is why when we move higher in the atmosphere, we experience low temperatures. On average this decrease is equal to the amount of temperature as discussed in the normal lapse rate.

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Answer:

7.8

-1/5

-16.2

5 5/8

Step-by-step explanation:

Answer:

4.775278.

Step-by-step explanation:

4.77527806851, when rounded to nearest millionth results in 4.775278.

Answer: 4.775278

Step-by-step explanation:

The place values go tenth, hundredth, thousandth, ten thousandth, hundred thousandth, and millionth. The place value after that is zero, so it stays as eight.

Answer:

Solution on screen

Step-by-step explanation:

I hope it's clear

Answer:

C=r-p

Step-by-step explanation:

r-c=p

We need to solve the equation for Variable C

To get c alone we need to remove r from the left hand side

Subtract R from both sides

r-c=p

r-r-c=-r+P

-c=-r+P

Now divide both sides by -1 to get c alone

c=r-p

C is alone, it is solved for C

Answer:

(4/3)

Step-by-step explanation:

  1                5

---------  +  --------

  2              6

  1 (3)          5

---------  +  --------

  2(3)          6

  3            5            8

-------  +  -------  =  -------

  6           6             6

  8  ÷  2            4

-------        =     -------

  6  ÷  2             3

I hope this helps!

The consecutive page no. are 126 and 127.

An example of a run of consecutive integers is 1, 2, 3, 4. Another illustration is 7, 8, and 9. An integer sequence is a set of numbers where each term is one more than the term before it.

Continually following one another, from smallest to greatest, are consecutive numerals. For instance, the sequence of the numerals 1, 2, 3, 4, 5, and so forth.

The next two numbers are (n + 1) and (n + 2) if n is an integer. Take 1 for n as an example. Its subsequent numbers can be read as (2 and 3), or as (1 + 1) and (1 + 2).

let the consecutive page numbers be x and x+1

according to question ,

          x + x + 1 = 253

          2x = 252

            x = 126

so the consecutive page numbers are 126 and 127.

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With each line, a slope-intercept relationship (4,-1) and (-2,-1).

Y = 0 ,X = 5.

The slope-intercept form is just a means of stating a line's equation so that both the slope (steepness) as well as y-intercept (where another line crosses this same vertical y-axis) are obvious. This expression is frequently referred to as y = mx + b.

To begin, are using the slope formula to figure out the average slope between two points here.

Let:

x1 = 4

y1 = -1

x2 = -2

y2 = -1

m = (y2-y1)/(x2-x1)

= (-1 - (-1))/ (4-(-1))

= 0/5

= 0

So the slope is 0.

We must now calculate the y-intercept. This will be accomplished by converting a single of the points and also the slope together into a point-slope linear equation. y2-y1 = m(x2-x1).

Let’s plug in the point (5,0).

So we get y-(-0) = (0/5)(x-(-5)) ⇒  y+0

= (0/5)x +  0 ⇒  y

So,

Y = 0

X = 5

with each line, a slope-intercept relationship (4,-1) and (-2,-1).

Y = 0 ,X = 5

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According to the given data young's modulus for this material = 5.73 *(10^8 ) pa

Young's modulus (E) of material seems to be the ratio of compressive loading () to tensile strain (). Where stress is defined as the amount of normal force per unit area ( = F/A) and strain is defined as extension per unit length ( = dl/l).

Youngs modulus Y of a material is given Y = FL/ADL

where

A = area

DL = change of length

L = original length

F = force

so here we apply

Y = 65*9.8* 45/(3.14* 3.5*3.5* 10^-6 * 1.3)

Y = 5.73 *(10^8 ) pa

According to the given data young's modulus for this material = 5.73 *(10^8 ) pa

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I understand that the question you are looking for is:

A nylon rope used by mountaineers elongates 1.30 m under the weight of a 65.0-kg climber. If the rope is 45.0 m in length and 7.0 mm in diameter, what is Young's modulus for this material?

Answer:

4[tex]x^{2}[/tex]

Step-by-step explanation:

1st seperate the equation

[tex]\sqrt{16}[/tex] and [tex]x^{2}[/tex]

square root of 16 is 4, and x squared stays the same, so the equation becomes

4[tex]x^{2}[/tex]

Answer:

Step-by-step explanation:

[tex]\displaystyle\\\frac{10px^2}{3c^2d} \div\frac{5px}{6c^2d^2} =\\\\\frac{10px^2}{3c^2d}*\frac{6c^2d^2}{5px} =\\\\\frac{60c^2d^2px^2}{15c^2dpx^2} =\\\\4d\\\\\\\frac{3}{x+7} \div\frac{8x^2-8x}{x^2+6x-7} =\\\\\frac{3}{x+7} \div\frac{8x(x-1)}{x^2-x+7x-7} =\\\\\frac{3}{x+7} \div\frac{8x(x-1)}{x(x-1)+7(x-1)} =\\\\\frac{3}{x+7} \div\frac{8x(x-1)}{(x-1)(x+7)} =\\\\\frac{3}{x+7} \div\frac{8x}{x+7} =\\\\\frac{3}{x+7} *\frac{x+7}{8x} \\\\\frac{3(x+7)}{8x(x+7)}=\\\\\frac{3}{8x}[/tex]

The square root of (1/96) is the same as the square root of 1 divided by the square root of 96. You can divide the fraction inside the radical before or after you calculate the square root. The result will be the same.

Here we first calculate the square root of the numerator and the square root of the denominator separately, and then we divide the two:

[tex]\frac{\sqrt{1}}{\sqrt{96} }[/tex] ≈ [tex]\frac{1}{9.798}[/tex]  ≈  0.1021

Alternatively, we first divide 1 by 96 and then do the square root of the quotient:

[tex]\sqrt{1/96}[/tex] ≈ [tex]\sqrt{0.0104}[/tex] ≈ 0.1021

To calculate the square root of 1 divided by 96, you first take the square root of 1 and then divide that result by 96:

[tex]\frac{\sqrt{1}}{96} = \frac{1}{96}[/tex] ≈  0.0104

Answer:

x = 100, y = 80

Step-by-step explanation:

100° and x° are alternate interior angles and are congruent , so

x = 100

x° and y° are a linear pair and sum to 180° , that is

100 + y = 180 ( subtract 100 from both sides )

y = 80