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The matching of the items as follows ,a - 4 , b - 5, c - 1 , d - 6 ,  e - 2 , f - 3

What is a number ?

number is used to represent the quantity of number  and it is even used for calculations.  

a) Multiplicative inverse

if the product the given number and reciprocal of the given number is 1.

so,

5 * 1/5  = 1

as LHS = 5 * 1/5  = 1

RHS = 1

Hence , a - 4

b )  Additive inverse

if the summation of the given number and opposite sign of given number results 0 .

7 + (-7) = 0

LHS = 7+ (-7) = 0

RHS = 0

hence , b - 5

c ) Commutative Property of Multiplication

if a.b = b.a hence it is in Commutative Property of Multiplication .

so,  5.6 = 6.5

hence , c - 1

d) Distributive property

if a ( b + c ) = a*b + a*c than it is in distributive property .

hence , d - 6

e) Additive Identity Property

if a+ 0 = a hence it is Additive Identity Property

so , b - 2

f ) Associative Property of Addition

if (a+b) + c = a + (b+c ) hence it is in Associative Property of Addition

so , f - 3.

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Answer: 8(r-t)

Step-by-step explanation:

[tex](12r+2t)-(4r+10t)=12r+2t-4r-10t=8r-8t=8(r-t)[/tex]

Answer:

[tex]1\frac{7}{8}[/tex]

Step-by-step explanation:

Answer:

1.875

Step-by-step explanation:

Convert the whole number 3, and you get 15/4

complete the process, and you get 1.875 aka 1 7/8

Answer:

Step-by-step explanation:

12 divided by four plus 2 x 6+4

assuming that the question is:

12 : 4 + 2 x 6 + 4 =

3 + 12 + 4 =                     (remember PEMDAS)

19

Answer:

d 10

Step-by-step explanation:

Answer:

Answer is D I’ve done it and got it right before

Step-by-step explanation:

Answer:

14 cases

Step-by-step explanation:

Let x be the number of personal injury cases this year by Gypsum Goode

x* 9/7 = 18

Multiply each side by 7/9

x * 9/7 *7/9 = 18 * 7/9

x = 14

The missing side length is 5.7.

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Answer:

6 1/5

Step-by-step explanation:

Answer:

31/5 into a mixed number would be 6 1/5 .

I think that it is the last one

Hope this helps

Answer: D

Step-by-step explanation:

The required graph of the function of h(x) is shown, where h(x) =  |x| + |x + 2|.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the graph, functions f and g are absolute functions,
f = |x|
g = |x + 2|

So,
h(x) = f + g

Now substitue the functions,

h(x) = |x| + |x + 2|

Thus, the required graph of the function of h(x) is shown.

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Answer:

Other words for subtraction:

taking away

withdrawal

abstraction

removal

discounting

Step-by-step explanation:

Answer:

It would be 1%

Step-by-step explanation:

First of all, note that any of the cans with the batch have the same chance at being defective, so ingore that. However, note the chance that each one is defective:

10%

So if you picked up any can, it would have a 10% chance of being defective. With this, by picking up two cans, you would do:

0.1 * 0.1 = 0.01

To find the chance of both cans being defective, being 1% for both of the selected cans being defective.

Answer:

I think it's TWO

Step-by-step explanation:

Answer:

1.69

approximately 2 wax cubes

Step-by-step explanation:

number of wax cubes needed = volume of square pyramid / volume of cube

Volume of a pyramid = 1/3 x ( base area x height)

base area = length²

6² = 36

volume = 1/3 x (36 x 9) = 108

volume of a cube = length³

4³ = 64cm³

108/64 = 1.69

Answer:

2

Step-by-step explanation:

2 + 2 - 4 + 2 = 2

Answer:

2

Step-by-step explanation:

2 + 2 = 4

4 - 4 = 0

0 + 2 = 2

Answer:

0.22

Step-by-step explanation:

Since 5 rounds up, it would be 0.22

Answer:

0.22 Is the answer.

I wish you luck on your assignments.

Answer: A. The first one

Step-by-step explanation:

The first data can be represented in the box plot if the restaurant records the number of tables served each night, and option (A) is correct.

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have data:

Minimum = 3

Lower = quartile = 14

Median = 23

Upper quartile = 29

Maximum = 40

From the above data, we can plot the data in the box plot.

Thus, the first data can be represented in the box plot if the restaurant records the number of tables served each night, and option (A) is correct.

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Answer: Expected Value = -0.31

We expect to lose about 31 cents each time we play the game.

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

Explanation:

A = event of selecting a king

B = event of not selecting a king

P(A) = 4/52 since there are 4 kings out of 52 total. This fraction reduces to 1/13.

P(B) = 48/52 = 12/13

Note: P(A) + P(B) = 1.

V(A) = net value of selecting a king

V(A) = 100-8 = 92, so you net $92 if event A occurs.

V(B) = -8, meaning you lose 8 dollars if you select anything but a king

We multiply the probability values with their corresponding net values

P(A)*V(A) = (1/13)*(92) = 7.07692 approximately

P(B)*V(B) = (12/13)*(-8) = -7.38462 approximately

Add up the results:

7.07692 + (-7.38462) = -0.3077

The expected value is approximately -0.3077 which rounds to -0.31

We expect to lose on average 31 cents each time we play the game. The nonzero expected value means this is not a mathematically fair game.

Answer:

arcPSU = 224degrees

Step-by-step explanation:

From the given diagram;

arcPSU = arcPQ + arcQR + arcRS + arcST + arcTU

Given

arcPQ = arcTU

arcQR = arcRS = 37

arcAST = 90

Since 136 + arcPQ + 37+37+90+arcTU = 360

136+2arcPQ+ 37+37+90= 360

2arcPQ+300 = 360

2arcPQ = 360 - 300

2arcPQ = 60

arcPQ = 60/2

arcPQ = 30degrees

Substitute into the above expression

arcPSU = arcPQ + arcQR + arcRS + arcST + arcTU

arcPSU = 360 - arcPU

arcPSU = 360 - 136

arcPSU = 224degrees

Answer:

254.57 in^3

Step-by-step explanation:

A cylinder has a height of 9 inches. The radius of the cylinder is 1 / 3 the height of the cylinder. What is the approximate volume of the cylinder?

volume of a cylinder = nr^2h

n = 22/7

r = radius

radius = 9 x 1/3 = 3 inches

(22/7) x (3^2) x 9 = 254.57 in^3

Answer:

the triangle is translated 2 units up, and is reflected across the x axis

Step-by-step explanation:

By solving system of linear equation we get Cost for 1 cheeseburger $5 and 1 cups of lemonade $2

A system of linear equations is a collection of two or more linear equations that have the same variables. A linear equation is an equation in which the highest power of the variable is 1. In other words, the equation is a straight line when graphed.

Here is an example of a system of linear equations:

3x + 2y = 19

2x + 4y = 18

This is a system of equations problem, where we can use the information provided to set up two equations and then solve for the unknown variables. Let x be the cost of one cheeseburger and y be the cost of one cup of lemonade.

From the information provided, we know that:

3x + 2y = 19 (the cost of 3 cheeseburgers and 2 cups of lemonade is $19)

2x + 4y = 18 (the cost of 2 cheeseburgers and 4 cups of lemonade is $18)

To find the cost of one cheeseburger and one cup of lemonade, we can solve this system of equations. One way to do this is by substitution.

3x + 2y = 19

we get

[tex]x=\frac{19-2y}{3}[/tex]

substituting x in equation 2x+4y=18

we get

 [tex]2(\frac{19-2y}{3})+4y=18[/tex]

[tex]38 - 4y + 12y = 54\\8y = 16\\y = 2[/tex]

substituting y in equation 3x+2y=19

[tex]3x+2(2)=19\\3x=19-4\\3x=15\\x=5[/tex]

The cost of one cup of lemonade is $2

The cost of one cheeseburger is $5

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The piecewise function f(x) = 1/2 |x| is equivalent to -

1/2 |x| = {- x/2}   {x < 0}

1/2 |x| = {x/2}   {x ≥ 0}

Given is the absolute value function -

f(x) = 1/2 |x|

We can write it as a piecewise function as follows. The given function is as follows :

f(x) = 1/2 |x|

The absolute value function is given as -

|x| = - x   {x < 0}

|x| = x     {x ≥ 0}

So, we can write the piecewise function as -

1/2 |x| = {- x/2}   {x < 0}

1/2 |x| = {x/2}   {x ≥ 0}

Therefore, the piecewise function f(x) = 1/2 |x| is equivalent to -

1/2 |x| = {- x/2}   {x < 0}

1/2 |x| = {x/2}   {x ≥ 0}

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Answer:

5.

Step-by-step explanation:

Given that Nicholas performs an experiment in which he pulls a marble from a bag, and in his experiment, he finds that he is twice as likely to pull a red marble as a blue marble, to determine, if Nicholas pulls 10 red marbles, how many blue marbles does he pull, the following calculation must be performed:

10/2 = X

5 = X

Therefore, Nicholas pulls 5 blue marbles from the bag.

Answer:

I. Radius, r = 5.82 in

II. S.A of a sphere = 19.61 meters

Step-by-step explanation:

Given the following data;

I. Volume of cylinder = 542π in³

Height = 16 in

To find the radius of the cylinder;

Volume of cylinder = πr²h

542π = πr²*16

Dividing both sides by π, we have;

542 = 16r²

r² = 542/16

r² = 33.875

Radius, r = 5.82 in

II. Volume of sphere = 5.055π m³

To find the surface area of the sphere;

First of all, we would find the radius of the sphere.

[tex] Volume \; of \; a \; sphere = \frac {4}{3} \pi r^{3} [/tex]

Substituting into the formula, we have;

[tex] 5.055 \pi = \frac {4}{3} \pi r^{3} [/tex]

Cross-multiplying, we have;

[tex] 5.055 \pi * 3 = 4 \pi r^{3} [/tex]

[tex] 15.165 \pi = 4 \pi r^{3} [/tex]

Dividing both sides by 4π, we have;

[tex] 3.79 = r^{3} [/tex]

Taking the cube root of both sides, we have;

r = 1.56 m

Next, we find the surface area (S.A) of the sphere;

S.A of a sphere = 4πr

S.A of a sphere = 4*3.142*1.56

S.A of a sphere = 19.61 meters

Using a calculator we can approximate this to be A ≈ 568.89 cm^2.

A regular decagon is a two-dimensional geometric shape with ten sides of equal length and ten interior angles of equal measure. It is a polygon, which is a two-dimensional shape made up of line segments (straight sides).

The approximate area of a regular decagon can be calculated using the formula A = (5/2) * a^2 * tan(π/5), where a is the length of each side. Since the radius of the decagon is 8 cm, the length of each side can be calculated using the formula a = 2r * sin(π/10) where r is the radius.

Plugging these values into the formula we get A = (5/2) * (2 * 8 * sin(π/10))^2 * tan(π/5) which simplifies to A = 320 * sin^2(π/10) * tan(π/5).
Using a calculator we can approximate this to be A ≈ 568.89 cm^2.

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Answer: mean = 6

median = 7

mode = 8

Step-by-step explanation: