Which expression is not equivalent to the other three?

Answer: 30.5

Step-by-step explanation:

Answer:

6.5 = h + 2

h = 4.5

Step-by-step explanation:

We are given h and since she did 2 additional hours of work, we add the 2 hours. and since we are trying to find h, we set the equation equal to 6.5

Answer:

  -8

Step-by-step explanation:

Put the given values where the corresponding variables are, and do the arithmetic.

__

  f(x) = 12 -3x

  f(5) = 12 -3(5) = -3

__

  j(x) = x² +4x -1 = (x +4)x -1

  j(-2) = (-2 +4)(-2) -1 = 2(-2) -1 = -5

__

  f(5) +j(-2) = -3 +(-5) = -8

Based on the exchange rate and Victor's budget, hector can see the sumo tournament and have about $322 left over.

Conversion rate of US dollars to Japanese yen = 1 : 94.153

Ratio of dollar to Yuan

1 : 94.153 = x : 5,488

1/94.153 = x / 5,488

1 × 5,488 = 94.153x

5,488 = 94.153x

x = 5,488 / 94.153

x = 58.2881055303601

Approximately,

x = $58

Amount left with Victor = Total money with Victor - amount spent

= $380 - $58

= $322

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Answer:

-13.5

Step-by-step explanation:

-6.52-6.98=-13.5

Answer:

D) m=2.55, b=-6.435

Step-by-step explanation:

See attached file ("a" represents the slope and "b" represents the y-intercept).

The thickness of each sheet of paper is 0.0012mm.

To find the thickness of each sheet of paper answer in millimeters​.

The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.

Given that:

A ream of A4 paper contain 500 sheets the size of each paper is 297mm long and 210mm wide the volume of the ream is 3742.2cm.

To convert cm in mm.

3742.2cm=37422 mm

Surface 1 sheet:

(297mm) X 210mm) =

62370[tex]mm^{2}[/tex]

Volume 1 sheet:

37422mm : 500 =

74.844mm

Thickness of 1 sheet:

74.844mm : 62370mm =

0.0012mm

So, the thickness of each sheet of paper is 0.0012mm.

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Answer: D) 80 degrees

Step-by-step explanation:

Answer:

740

Step-by-step explanation:

10^2 = 100

So 7.4 * 10^2

= 740

Answer:

13.9%

Explanation:

Rolling for 2 : (1, 1)

Rolling for 5 : (1, 4), (4, 1), (2, 3), (3, 2)

So, there are (4 + 1) = 5 possible outcomes out of 36 outcomes

Note: There are 36 outcomes when rolling a two fair cubes.

[tex]\sf Probability = \dfrac{possible \ outcomes}{Total \ outcomes}[/tex]

[tex]\rightarrow \sf \dfrac{5}{36} \ x \ 100[/tex]

[tex]\rightarrow \sf \dfrac{125}9} \%[/tex]

[tex]\rightarrow \sf 13.9 \%[/tex]

The measure of the angle B is 30 degree after applying the sin law of triangle.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle shown in the picture:

We can apply the sin law of the triangle to find the angle B

[tex]\rm \dfrac{28}{sin91} =\dfrac{14}{sinB}[/tex]

SinB = 0.499

B  = 29.99 ≈ 30 degree

Thus, the measure of the angle B is 30 degree after applying the sin law of triangle.

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Answer:

  18

Step-by-step explanation:

The summation symbol is telling you there are 4 terms of the sum. The values of x in the terms range from 1 to 4.

__

The expanded form of the sum is ...

  (1 +2) +(2 +2) +(3 +2) +(4 +2)

  = 3 +4 +5 +6 = 18

The sum is 18.

_____

Additional comment

The sum can be rewritten as ...

  [tex]\displaystyle \sum_{x=1}^4{(x+2)}=\sum_{x=1}^4{x}+\sum_{x=1}^4{2}=\dfrac{4(4+1)}{2}+4\times2=10+8=\boxed{18}[/tex]

This way, you need to know the sum of integers from 1 to n is (n/2)(n+1). It may be easier just to write the terms out as we have done above.

Answer:

(2,2)

Step-by-step explanation:

coordinates are written as (x,y)

where x represents the x value of the coordinate and y represents the y value of the coordinate.

If we look at the graph we can tell that "b" has an x value of 2 and a y value of 2

Therefore we can say that "b" is positioned at (2,2)

Answer:

C. (2, 2)

Step-by-step explanation:

A coordinate is used to identify a point on a graph. A coordinate is written in the form of (x, y), where x is the x-value and y is the y-value.

The x-value is the number of units left or right from the origin (0, 0), and it gets negative by going left and positive by going right.

The y-value is the number of units up or down from the origin (0, 0), and it gets negative by going down and positive by going up.

For example, the coordinates (1, -2) indicate that the x-value goes to the right one unit and the y-value goes down two units.

Here, we are asked to find the coordinate of B:

Therefore, the correct answer is C. (2, 2)

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Answer: 19/28

Step-by-step explanation:

p(student plays basketball)=  14/28

p(student plays baseball)=  7/28

2 students play both sports= 2/28

⇒ 14/28+ 7/28 - 2/28 = 19/28

Answer:

Answer:

the answer is C

Step-by-step explanation:

as you can see f(x) cut g(x) 3 time ( sorry for my bad English )

Answer:

see explanation

Step-by-step explanation:

given that x and y are proportional relationships , then

y = kx ← k is the constant of proportionality

divide both sides by x

[tex]\frac{y}{x}[/tex] = k

using corresponding values of x and y from each table to find k

first table

k = [tex]\frac{10}{1}[/tex] = 10

second table

k = [tex]\frac{20}{4}[/tex] = 5

third table

k = [tex]\frac{15}{2}[/tex]

fourth table

k = [tex]\frac{4}{1}[/tex] = 4

Answer:

  f(4) = 0

Step-by-step explanation:

For many sequences that involve recursive formulas, the quickest way to find the value of a given term is to evaluate those leading up to it. That seems to be the case here.

The next term after the one given is ...

  f(2) = f(1)² -1 = 1² -1 = 0

Then we have ...

  f(3) = f(2)² -1 = 0² -1 = -1

  f(4) = f(3)² -1 = (-1)² -1 = 0

The value of f(4) is 0.

_____

Additional comment

Now that we have seen a few terms of the sequence, we can write an explicit formula for the terms after the first:

  f(n) = (-1 +(-1)^n)/2 . . . integer n ≥ 2

Answer:

0.91 g/cm³

Step-by-step explanation:

Density Formula

Solving

Answer: 71/28 or 2 15/28

Step-by-step explanation:

Turn both fractions into improper fractions.

5 1/4 = 21/4

2 5/7 = 19/7   multiply the denominator with the whole then add the     numerator, same denominator.

21/4 - 19/7 = ?  find common denominator to subtract

4 x 7 = 28  common denominator

Divide the new denominator by previous denominators then multiply by each respective numerator. 28 divided by 4 is 7 multiplied by 21 is 147, the same happens with 19/7.

147/28 - 76/28 = 71/28 or 2 15/28

Answer:

x=32

Step-by-step explanation:

Answer:

b = 8

Step-by-step explanation:

1.3b + 2 = 12.4

- Subtract 2 from both sides

1.3b = 12.4 - 2

- Subtract 2 from 12.4 to get 10.4.

1.3b = 10.4

- Divide both sides by 1.3.

b = [tex]\frac{10.4}{13}[/tex]

- Expand [tex]\frac{10.4}{13}[/tex] by multiplying both numerator and the denominator by 10.

[tex]b = \frac{104}{13}[/tex]

- Divide 104 by 13 to get 8.

Answer:

i think its D.

Step-by-step explanation:

i just counted

The system of inequalities have no solutions, option D is correct.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given that the graph shows the solutions to the inequalities y> 3x + 14 and y< 3x + 2.

We have to find the  system of inequalities have solutions has solutions or not

As we observe the graphs  y> 3x + 14 and y< 3x + 2 of these inequalities the shade of both lines are not overlapped.

So the two inequalities does not have solution

Hence, the system of inequalities have no solutions, opton D is correct.

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The value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶

It is defined as the combination of constants and variables with mathematical operators.

We have:

[tex]\rm = 3^{\dfrac{6}{5}}[/tex]

We can write it as:

[tex]\rm = \sqrt[5]{3^6}[/tex]

The value of a = 3,

The value of b = 6, and

The value of c = 5

Thus, the value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶

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Answer:

C. 60

Step-by-step explanation:

The range of the given data set, 33, 38, 35.5, 39.25, 31.75, is 7.5. The range represents the spread or the difference between the highest and lowest values in the data set.

To calculate the range of a data set, you need to find the difference between the maximum and minimum values.

Given the data set: 33, 38, 35.5, 39.25, 31.75

To determine the maximum value, we can compare the numbers in the data set and identify the highest one. In this case, 39.25 is the largest number.

To find the minimum value, we compare the numbers and identify the smallest one. Here, 31.75 is the smallest number.

Now, we can calculate the range by subtracting the minimum value from the maximum value:

Range = Maximum value - Minimum value

      = 39.25 - 31.75

      = 7.5

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Answer:

Below in bold.

Step-by-step explanation:

-8xy-6xz + 10xy + 9xz - 4yx    (Note 4yx = 4xy)

Bringing like terms together we have:

-8xy + 10xy - 4xy - 6xz + 9xz

= -2xy + 3xz.

m² - 4m - 1 + m² - 8m + 5-6m² +3m - 1

= m² + m² - 6m² - 4m - 8m + 3m - 1 + 5 - 1

= -4m² - 9m + 3.