identify the rational numbers represented by the letters on the number line.​

Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.

According to this question, Marcus had to drive to a job training workshop in a city 225 miles away from his home.

He was paid $0.55 per mile each way and was also given a motel and meal allowance of $145 per day for the four-day training.

This means that Marcus was paid as follows:

Therefore, Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.

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Answer:

28.6 cm

Step-by-step explanation:

Given radius of semicircle (r) = 9.1 cm

perimeter of a semicircle = πr

= 22/7 × 9

= 22 × 1.3

= 28.6

Answer:

Multiplication

The solution of given equation x = -20

Step-by-step explanation:

step (i) :-

given equation = -(x/4) = 5

multiply '1' on both sides we get

[tex] = - (( - \frac{x}{4} )) = - 5[/tex]

[tex] = \frac{x}{4} = - 5[/tex]

step (ii) :-

multiply '4' on both sides we get

[tex] = \: \: \: \: \: \frac{x}{4} \: \: \times \: 4 \: \: = - 5 \times 4[/tex]

Cancellation '4' on left side we get

x = -20

conclusion:-

The solution of given equation x = -20

Answer:

x - 2y > 8 or x - 2y ≤ -6

Step-by-step explanation:

I used desmos

I hope this helps!!!

Answer:

ok but question should be more clear though this is hard to understand

Answer:

0, 1-9, 20

Step-by-step explanation:

Pre-calc 2021

Answer:

a. 20 points

Step-by-step explanation:

Range = Largest given value - Smallest given value.

Identifying the range of test 1

Looking at the dot plot the lowest test grade appears to be 50 while the highest is 90.

So range of test 1 = 90 - 50 = 40

Identifying the range of test 2

Looking at the plot the lowest test grade appears to be 40 while the highest appears to be 100

So range = 100 - 40 = 60

Identifying the differences between the ranges

Test 1 range : 40

Test 2 range : 60

Difference between the two : 60 - 40 = 20 points

The most appropriate measure is absolute deviation, as we know absolute deviation can help us gain a more representative notion of spread option (D) is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have data shown in the picture.

As we know, Quartiles or ranges are useful, but they are limited because they skip a lot of data in the group.

For a data set like the one in this question, where the items are close in difference, absolute deviation can help us gain a more representative notion of spread.

Thus, the most appropriate measure is absolute deviation, as we know absolute deviation can help us gain a more representative notion of spread option (D) is correct.

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Answer:

[tex]f(2) = 6[/tex]

Step-by-step explanation:

Substitute x=2 into f(x) x times 3

[tex]f(2) = 2 \times 3[/tex]

Calculate it

[tex]f(2) = 6[/tex]

Answer:

There is no answer as there is no question.

Step-by-step explanation:

Answer:

I added the answer to your newest problem :D

Step-by-step explanation:

Hope it helped!

Step-by-step explanation:

it means

$75.99 = original price × 0.65 ((100-35)/100)

original price = $75.99/0.65 = $116.9076923... ≈

≈ $116.91

Table 3 will fit snugly in the corner of the room.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

From the given data we will check the value of the diagonal by applying the Pythagorean theorem.

So by using the Pythagorean theorem:-

D ²  =    L²   +   W²

D²   =    ( 2.4 )²  +  ( 3.2 )²

D²   =    ( 5.76   +    10.24 )  =   16

D     =   √16   =  4  feet

Therefore table 3 will fit snugly in the corner of the room.

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Answer:

Table 3.

Step-by-step explanation:

Person above is correct, I'm takin the test!!

Step-by-step explanation:

there is a rectangle and an octagon within

area of rectangle = 8*9 = 72

there are 4 right angled triangles

area of one such triangle = .5 × 9 = 4.5

total area of triangles = 18

area of octagon = 72-18 = 54 m^2

Answer:So I think the answer might be 88

Answer: 85 sqm

Step-by-step explanation: So 5 litres of Retail paint will cover 65sqm- one coat, and 5 litres of Trade paint will cover 85 sqm- one coat.

Answer:

8.50

Step-by-step explanation:

it’s 8.50 this is because if you need to round it to the nearest tenth, you just think is 9 closer to 10? Yes and so you make 48 into 8.50

Answer:

D' : (2, 1)

E' : (2, 3)

A' : (5, 3)

Step-by-step explanation:

Answer:

D' = (2, -3)

E' = (2, -1)

A' = (5, -3)

Step-by-step explanation:

Coordinates are :

The transformation rule is :

Point D'

Point E'

Point A'

Answer:

80

Step-by-step explanation:

140-60

Answer:

Step-by-step explanation:

a) the thickness of one ream of paper :

= 0.1 × 500

= 50 mm

b) 12 cm = 12 × 10 = 120 mm

Then

the number of sheets that exist in a pile of papers that has a thickness of 12 cm :

= 120 ÷ 0.1

= 1 200 sheet of paper

Answer:

what is tge problem its to blurry

Step-by-step explanation:

Represent D and E as x because you don't know them

Now the sum of all these angles is 180

so,D+E+90(THE SIGN AT THE TOP)=180

D which is x the E which is also x

x+x+90=180

2x+90=180

2x=180-90

2x=90

[tex] \frac{2x}{2} = \frac{90}{2} [/tex]

cancel and you will get x as 45

therefore x is 45 degrees

Answer:

1.5 per minute

Step-by-step explanation:

unit rate is how many in 1 minute so 45 divided by 30 is 1.5 and if you want to check your answer do 1.5 x 30 which is 45

Answer: m ≥ 1,379

Step-by-step explanation:

$26 monthly fee

$0.06/minute of use

$108.74 (least charged in a month)

m = number of minutes

26 + 0.06m ≥ 108.74

0.06m ≥ 108.74 - 26

0.06m ≥ 82.74

[tex]\frac{0.06m}{0.06}[/tex]  ≥  [tex]\frac{82.74}{0.06}[/tex]

m ≥ 1,379

Answer:

Given that the probability of winning is = 0.05

So the probability of losing is = 1 - 0.05 = 0.95.

We are told we have a 1 in 20 chance

Success: 0.05

Failure: 0.95

P(X=4)= 0.95*0.95*0.95*0.05

So the chance is 0.04286 or Option D

The true proportion of air traffic controllers in Canada with resting heart rates over 100 bpm is; 0.2717 or 27.17%

We are given;

Sample size; n = 173

Number of people who had  a resting heart rate over 100 bpm = 47

Now, formula for true proportion is;

p' = x/n

where;

x represents the number of successes

n represents the sample size.

p′ is the sample proportion which is the point estimate for the true population proportion.

Thus;

p' = 47/173

p' = 0.2717

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The area covered by the napkin is 56 square centimeters

This is calculated using:

[tex]Area = \frac 12 ab\sin(C)[/tex]

Where:

a = 15, b = 5 and C = 30

So, we have:

[tex]Area = \frac 12 * 15 * 15 * \sin(30)[/tex]

Evaluate the product

Area = 56.25

Approximate

Area = 56

Hence, the area covered by the napkin is 56 square centimeters

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Answer: 56

Step-by-step explanation:

that’s c on 2023 edge

Answer: 84

Step-by-step explanation:

We need a maximum enlargement of n = 18 terms in order to guarantee this level of accuracy for Simpon's Rule.

The estimation of Simpson's rule follows an approach where the value of the definite integral [tex]\int\limits^a_b f{x} \, dx[/tex] is approximated by using a parabolic method of approximation for each subinterval of the interval [a, b].

The formula for calculating Simpon's rule can be expressed as:

[tex]\mathbf{\int ^b_a f(x) d \simeq \dfrac{\Delta x}{3}[y_o+4y_1+2y_2+4y_3+2y_4+...+4{y_{n-1} +y_n}}[/tex]

Given that:

[tex]\mathbf{\int ^1_0 7ex^2 dx }[/tex],

We need to determine the fourth derivative; i.e.

[tex]\mathbf{f'(x) = 14xe^{x^2}}[/tex]

[tex]\mathbf{f''(x) = 14ex^2 +28x^2e^{x^2} = (14+28x^2)e^{x^2}}[/tex]

[tex]\mathbf{f'''(x) = 56xe^{x^2} +2(14+28x^2)e^{x^2} = (84x+48x^3)e^{x^2}}[/tex]

[tex]\mathbf{f^{iv}(x) = (84+144x^2)e^{x^2} +2x(84x+48x^3)e^{x^2} = (84x+312x^2+96x^4)e^{x^2}}[/tex]

The maximum value of the 4th derivative on the interval [0,1] is:

[tex]\mathbf{f^{iv}(1) = 624e}[/tex] and the error is bounded by:

[tex]\mathbf{\Bigg| \dfrac{f^{iv}(1) (1-0)^5}{180n^4} \Bigg| = \dfrac{624e}{180n^4}=\dfrac{52e}{15n^4}}[/tex]

Now for the error to be less than 0.0001; we have:

[tex]\mathbf{\dfrac{52e}{15n^4} < 0.0001}[/tex]

[tex]\mathbf{52e < 0.0015n^4}[/tex]

[tex]\mathbf{n^4 > \dfrac{52e}{0.0015}}[/tex]

[tex]\mathbf{n > \sqrt[4]{ \dfrac{52e}{0.0015}}}[/tex]

n ≅ 17.52.

Therefore, we can conclude that we need a maximum of n = 18 terms in order to guarantee this level of accuracy for Simpon's Rule.

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Answer:

x=-2   x=-1

Step-by-step explanation:

2x^2 + 6x = -4​

Add 4 to each side

2x^2 + 6x +4= -4+4

2x^2 + 6x +4=0

Factor out 2

2( x^2 +3x+2) = 0

Divide by 2

x^2 +3x +2 =0

( x+2)(x+1) =0 ​​

Using the zero product property

x+2 =0  x+1 =0

x=-2   x=-1

Answer:

x = -1, -2

Step-by-step explanation:

Bring the constant term to the left hand side :

Divide throughout by 2 :

Splitting the middle term :

Factors obtained :

Finding the zeros :

Answer:

its C

Step-by-step explanation:

I used something else for it for it

Answer:

if you want to, I can explain it to you in more details