what is the domain of the relation shown

Answer:

  a. $4200

  b. $32,300

  c. $5814

  d. $30,686

  e. 2557.17

Step-by-step explanation:

The man can claim all of the allowances shown in the problem statement, except the single person's allowance.

  total allowances = married + young child + child in school + dependent relative

  total allowances = $2400 +500 +1000 +300 = $4200

__

The man's taxable income is his income after allowances have been deducted:

  taxable income = gross income - allowances

  taxable income = $36,500 -4,200 = $32,300

__

The tax is found by multiplying the tax rate by the taxable income.

  tax = (tax rate) ×(taxable income)

  tax = 0.18 × $32,300 = $5,814

__

The net income is the gross income less the taxes paid.

  net income = gross income - tax paid

  net income = $36,500 -5,814 = $30,686

__

The man's net monthly salary will be 1/12 of his annual net income.

  net monthly salary = $30,686/12 ≈ $2,557.17

The unit rate of the distance covered per unit stride taken is; 3.5 ft per stride.

From the given table and graph, we see that;

Number of strides taken is on the x-axis.

Distance covered for each respective number of strides is on the y-axis.

Now, the rate will be;

Rate = Change in Distance covered/Change in number of strides

Thus;

Rate = (14 - 7)/(4 - 2)

Rate = 7/2

Rate = 3.5 ft per strides

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Answer:

Oliver’s table indicates that for every increase of 2 strides, the distance he travels increases by 7 feet. So, the change in distance divided by the change in stride gives the unit rate.

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

3/4 ÷ 5/8

Keep Change Flip

3/4x8/5

=6/5

Hope this helps :)

Answer:

272

Step-by-step explanation: I had i

Answer:

1)3 meters/second

2)-16°C

Step-by-step explanation:

Hope it can help you lovelots

Answer:

8

Step-by-step explanation:

Using the Heron's formula we can find that the total area of the triangle is 84 inches.

Then, to find the height of the triangle, you have to multiply the area by 2 since the formula for the area of a triangle is (h*b)/2

Now, when we multiply 84 and 2 we get 168, so you have to divide 168 by 21 to find 8.

Answer:

b; |-4|<|-5|

Step-by-step explanation:

Absolute value is the distance from zero, so the absolute value of -5 is greater than the the absolute value of -4.

Answer:

Step-by-step explanation:

2x-y=4 ..........(1)

x+y=5 ...........(2)

Add equation 1 and 2:

We get:

3x=9

x=9/3

x=3

Substitute value of x in (2):

x+y=5

3+y=5

y=5-3

y=2

(3,2)

Spent amount= $81.50

Pending= $18.50

Answer:

$2.34

Step-by-step explanation:

30x0.078=2.34

Answer:

the set of elements that are common to each of the given sets

Step-by-step explanation:

Answer:

274695.40209727081725

Step-by-step explanation:

Answer:

In £280, there will be €327.6.

Step-by-step explanation:

Since we have given that

£1 = €1.17

We need to find the value of  £280.

Using "Unitary method", we will multiply 1.17 by 280 and we get that

Hence, in £280, there will be €327.6.

# learn more:

The exchange rate at the post office is 1 pound = 1.17 euros

how many euros will you get for 280 pounds

Multiply 280 both sides

£ 280 = € 1.17 × 280

£ 280 = € 327.6

£ 1 = € 1.17

(Hope this helps can I pls have brainlist (crown)☺️)

4(2+y)2y-z when x=2 and y=4

4(2+4)2×4-z

4(6)(8-z)

(4×6)(-8z)

24-8z

z=24÷8

8/3

Therefore 8/3 is last answer .

The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [4(2 + y)] / (2y - x)

The value of the expression at x = 2 and y = 4 will be given as,

⇒ [4(2 + 4)] / [2(4) - 2]

Simplify the equation, then we have

⇒ (4 × 6) / (8 - 2)

⇒ 24 / 6

⇒ 4

The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.

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Answer:

18

Step-by-step explanation:

18devided by 3 is 6 and 18 divided by 2 is 9

The number that has prime factors of 2 and 3 is 18.

Prime factors are factors that are prime numbers. Prime numbers are numbers that are divisible by one and itself. Examples are 2 and 3.

What are the factors of the numbers between 14 and 19?

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Answer:

3

Step-by-step explanation:

Midpoint means EF and FG are both 8 the whole thing is 19 so 19 - 16 = 3

Answer: - 27 meters

Step-by-step explanation:

1.     86 m   Start at 86 meters

2.  +35 m    Go up another 35 meters

3. -148 m   Go down 148 meters.

4.  - 27 meters  Net change in elevation

The net result is a negative 27 meters in elevation from the start of the hike.

Answer:

Step-by-step explanation:

To complete the 1st model you have to put 5 red chips

To complete the 2nd model you have to put 10 yellow chips

To complete the 3rd model you have to put 8 red chips

But to understand why we are putting a certain number of yellow or red chips

we have to understand the zero pairs method meaning one positive and one negative zero out each other

Answer:

3.78

Step-by-step explanation:

Answer:

the y-intercept is 6 the slope is 3 / 5

Step-by-step explanation:

slope-6

y-intercept-3/5

Answer:

M = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Use the slope-intercept form y = mx + b  to find the slope m.

.

I would say B as the answer... 81 is just to high and 19 doesn't seem right.. so I'm just gonna go with B 23%

I am very sorry if this is wrong in anyway!

Answer:

the answer is 23%

Step-by-step explanation:

i used a percent increase calc... was too lazy to do the work haha

Answer:

  ∠6, ∠10

Step-by-step explanation:

Apparently, we are to assume that the avenues are parallel.

The angles that form a linear pair with ∠8 will be supplementary: ∠6 and ∠7. The angles that correspond to those will also be supplementary to angle 8: ∠10 and ∠11.

Among the answer choices ∠3, ∠4, ∠6, ∠10, only ∠6 and ∠10 are equal to 180° -x.

_____

Additional comment

It appears we are to assume that 1st Ave is parallel to 2nd Ave. If that is the case, then we might also assume that D Street is perpendicular to those avenues. In that case, all of angles 5, 6, 7, 9, 10, 11, 12 are equal to 180° -x, because x and all of those are all 90°.

Answer:

1

Step-by-step explanation:

Y=2x+3

Y=2×(-1)+3

Y=1

Answer:

Reflection

Step-by-step explanation: It is reflection because it is the same thing just reflected

Answer:

Vertical reflection of MNOP quadrilateral

Step-by-step explanation:

Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis.

here the MNOP quadrilateral is reflected over x axis, it is called vertical reflection

Answer:

$11.16 - $0.68 = $10.48 - price of four cards without tax

$10.48 : 4 = $2.62 - price of one card without tax

Cheers!

Answer:

the cost of each card including sales tax is 2.79

the cost of each card without sales tax is

11.16-0.68=10.48

10.48÷4=2.62

Step-by-step explanation:

Answer:

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

Step-by-step explanation:

{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}

The domain is the input and the range is the output

domain is { 2,8,-5,4,6,9} and the range is {4,-3,-1,6,7,0}

We put the numbers in order from smallest to largest

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

Answer:

(-9,-3,6,-2,8,6) is the answer as the range is always the "second pair" of numbers in any relation.

Answer:

100J

Step-by-step explanation:

work done = force x distance

                  = 200 x 0.5

                  = 100J

Answer:

16.49%

Step-by-step explanation:

0.97+16.49%=1.129953

The percentage increase is 16.49%

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100)

We are given that the price of a newspaper increased from $0.97 to $1.13

WE need to find the percentage increase.​

Therefore,

Intital price = 0.97 ( 1.13 - 0.07)

= 0.16 / 0.97 x 100

= 16/0.97

= 16.49

0.97+16.49%  = 1.129953

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the standard form of this expression is

(72+3)(-i)