What is 3/7 as a decimal rounded to 3 decimal places?

Verifying the conditions, it is found that ordered pair (2,5) is a solution to the given system of inequalities.

As stated in the problem, it is modeled by:

y ≤ –x2 + 5x

y > x2 – 4

For ordered pair (-1,-1), we have that:

y ≤ –x2 + 5x

-1 ≤ –(-1)2 + 5(-1)

-1 ≤ -6

Which is false.

For ordered pair (0,2), we have that:

y ≤ –x2 + 5x

2 ≤ –(0)2 + 5(0)

2 ≤ 0

Which is false.

For ordered pair (2,5), we have that:

y ≤ –x2 + 5x

5 ≤ –(2)2 + 5(2)

2 ≤ 6

Which is true.

y > x² - 4

5 > 2² - 4

5 > 0

Which is true.

Hence ordered pair (2,5) is a solution to the given system of inequalities.

More can be learned about a system of inequalities at https://brainly.com/question/9774970

Answer:

the third option (2,5)

Step-by-step explanation:

I just took the test:)

Answer:

A, E, B

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

39 + 33 + x = 180

To find the missing angle, we have to add together the two angles that are given and then subtract that from 180.

39 + 33 = 72

180 - 72 = 108

Therefore, our answer is 108 degrees.

I hope this helps! Have a lovely day!! :)

Answer:

Step-by-step explanation:

Answer:

1.732i (complex form)

its weird, at high-school level complex shouldn't come, its considered mistake in the question. But the mathematically its all correct

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Out of those choices, only a rational number is going to work. There are too many decimals in the given equation to give an integer, zero, a whole number or a minus number.

D

Answer:

18.84 square centimeters

Step-by-step explanation:

[tex]C =[/tex] [tex]\pi[/tex][tex]d[/tex]

[tex]C = (3.14)(6)[/tex]

[tex]C = 18.84[/tex] [tex]cm^{2}[/tex]

P.S: Diameter is radius + radius so that means that diameter is 3 + 3 for this problem.

Answer:

41

Step-by-step explanation:

5 integers with an average of 44

⇒ sum of the integers = 5 x 44 = 220

The median is the middle number when the numbers are put in order of smallest to largest.  So the integers are:  x  x  50  x  x

The modal integer is the one that occurs most frequently, so if the mode is 52, then at least 2 of the integer are 52.  Since the median is 50, the integers are:  x x 50 52 52

Therefore, the remaining two integers are less than 50.

The range is the difference between the largest integer and the smallest integer.  As we know that the largest integer is 52 and the range is 27, then the smallest integer is 52 - 27 = 25

25 x 50 52 52

To find the last unknown integer :

⇒ sum of the integers = 25 + 50 + 52 + 52 + x = 220

⇒ x = 41

Therefore, the integers are:

25, 41, 50, 52, 52

Answer:

72

Step-by-step explanation:

1 large cube is 2 x 3 cubes equals 6

length is 3 x 4 x 2 = 24

24 x 3 = 72 for each layer

72 x 2 = 144 smaller cubea

Answer:

19.6

Step-by-step explanation

= Sum of terms / number of terms

= ( 20 + 19 +18+ 20 +19 +22 ) / 5

= 19.6

Answer:

Not normal, because we expect fewer than 10 children to redeem the coupon.

Step-by-step explanation:

Answer:

Answer: 1/3, 4/5, 7/8, 9/10

Step-by-step explanation:

4/5 9/10 1/3 7/8

240

5*48=240  4*48=192      192/240

10*24=240 9*24=216        216/240

3*80=240   1*80=80          80/240

8*30=240    7*30=210        210/240

Answer:

option 1 (the basic)

Convert it into a common factor.

So everything in the denominator has to have a common multiple then we can compare from there.

You can either find every multiple here and then see which ones the same or multiply them all (not recommended)

so 120 is the common factor here.

I got this because I know 10 and 5 are basically the same. Since they almost all end with 0s. I know it has to be a number that ends with 0.

8 here is the one I calculated.

My process:

8*5 = 40

40 doesnt go to 3

8*10 = 80

80 doesn’t go to 3

8*15 = 120

120 goes to 3 (Becuase if you add up the numbers 1 + 2 + 0, you’d get 3 which is divisible by 3)

So 120 is the denominator.

Now we divide each to find the numerator now.

120/5 = 24

So we multiplieds 24 by 5 to get 120.

Thats the bottom, whatever we do on the bottom we do to the top.

So 4 * 24 is 96

96/120

Now lets fast forward

In the end you’d end up with in the order we began with

96/120 …(4/5)

108/ 120 …(9/10)

40/120 …(1/3)

105/120 …(7/8)

Now we put them in order from least to greatest in this case.

40/120 …(1/3)

96/120 …(4/5)

105/120 …(7/8)

108/120 …(9/10)

Your order would be

1/3

4/5

7/8

9/10

Option 2 (the decimal)

SO in this case you jsut convert them into a decimal then compare

This is relatively easier since its jsut basic division with decimal.

You do numerator divide by denominator.

4 ÷ 5 = 0.8

9 ÷ 10 = 0.9

1 ÷ 3 = 0.3333333…

7 ÷ 8 = 0.875

Now you just put them in order

0.2, 0.333…, 0.875, 0.9

Same order as before

1/3, 4/5, 7/8, 9/10

Answer:

I believe the majority you got correct, just a few changes. Look at image above for reference.

Answer:

First Number: 2

Step-by-step explanation:

You need to work backwards, as an algebraic equation.

24 ÷ 3 = 8

8 ÷ 2 = 4

4 × 2 = 8

8 - 6 = 2

The first number is 2.

- Educationist

Answer: perimeter: 40.79

Area: 84

Step-by-step explanation:  

perimeter: (√3² + 6²) + (√1² + 6²) + 7 + 6 +  6 + 9 = 40.79

area: ((9 + 6) x 6) / 2 + ((6 + 7) x 6) / 2) = 45 + 39 = 84

Answer:

C, $12

Step-by-step explanation:

Every hour worked the employee earns $12. This is a fixed rate and the answer is shown in the 1st slot of the table -- 1 hour = $12

Answer:

12 dollars per hour

Step-by-step explanation:

For each hour worked, we make 12 dollars as show in the first column, 1 hour is 12 dollars

We can check using the last colum

48 dollars / 4 hours = 12 dollars per hour

Answer:

it’s B

Step-by-step explanation:

Answer: The answer to the question is option A

Step-by-step explanation:

The sixth term of the sequence 13, 39, 117, ... is 243

The definition of the function is given as

13, 39, 117, ...

The above definitions imply that we simply multiply 3 to the previous term to get the current term

using the above as a guide,

So, we have the following representation

an = 13(3)^(n - 1)

For the 6th term, we have

a(6) = 13(3)^(6 - 1)

Evaluate

a(6) = 243

a₃ = 9 + 3

Hence, the value of the 6th term is 243

Read more about sequence at

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#SPJ1

Answer:

#6=perimeter=32 area=55

#7=perimeter=66 area=242

#8=perimeter=94  area=550

Step-by-step explanation:

5+5+11+11=32

5x11=55

22+22+11+11=66

22x11=242

22+22+25+25=94

22x25=550

Step-by-step explanation:

please mark me as brainlest

Answer:

6a - 9

Step-by-step explanation:

[tex]12(3a-1) -3(14a-1)\\[/tex]

First you want to factor. Factor out a -3 from both terms.

[tex]= (-3)(-4(4a-1) + (14a-1))\\[/tex]

Then you want to expand the right bracket.

[tex]= (-3)(-16a + 4 + 14a - 1)\\[/tex]

Collect the like terms

[tex]= (-3)(-2a +3)\\[/tex]

Distribute:

[tex]= 6a - 9[/tex]

Answer:

Here we will show you how to calculate how much you will make in a year if you make $3252 an hour. Our calculations are based on the following information, but you can change the numbers further down on this page to make it better reflect your situation.

Hourly Pay: $3252

Work hours per week: 40

Work weeks per year: 52

Income Tax Rate: 12%

To calculate how much $3252 an hour is per year, we first calculate weekly pay by multiplying $3252 by 40 hours per week, and then we multiply the product by 52 weeks, like this:

$3252 × 40 hours

= $130,080.00 per week

$130,080.00 × 52 weeks

= $6,764,160.00 per yearNow you know that your gross income per year (income before tax) is $6,764,160.00 if you make $3252 per hour. However, you have to deduct taxes to find your net yearly income (income after tax).

Everyone has to pay 6.2% Social Security Tax and 1.45% Medicare Tax. Furthermore, we assume you will pay about 12% in Federal, State, and Local income taxes. Here is how to calculate your net income (the actual amount you will receive per year):

Social Security Tax

($6,764,160.00 × 6.2)/100

= $419,377.92

Medicare Tax

($6,764,160.00 × 1.45)/100

= $98,080.32

Income Taxes

($6,764,160.00 × 12)/100

= $811,699.20

+ $6,764,160.00 Gross Income

- $419,377.92 Social Security Tax

- $98,080.32 Medicare Tax

- $811,699.20 Federal/State/Local Taxes

= $5,435,002.56 Net IncomeThere you have it. Now you have the answer to "$3252 an hour is how much a year?" If you make $3252 per hour, then your yearly income before taxes is $6,764,160.00 and your yearly income after taxes is $5,435,002.56

We made some assumptions about how much you work and how much taxes you have to pay. You can adjust these assumptions below to match your situation to get the exact amount for your situation.

Step-by-step explanation:

result = 39 - 39 x 3% = 39 x 0,97 = 37,83

Answer:

C=2πr

r=C/2π

 198/2π

≈31.51268cm

Answer:

82.358

Step-by-step explanation:

You have to use PEMDAS to solve this question. Since M is the first one we have to multiply since M stands for multiplication.

676 • 122 - 45 + 69

82,472 - 45 + 69

Then you add because A is next.

82,472 - 114

Then finish it

82,358

Your answer would be = 82,358

I hope it helps! Have a great day!

Muffin ^^

Answer:

No

Step-by-step explanation:

The sample size wasn't big enough. It could only be a trend in that grade.

Answer:

Mr. Rodriguez made a reasonable assumption. His surveys were random, non-biased, and relatively large in comparison to the school population. 12 out of 60 is 20%.

Step-by-step explanation:

Answer:

See below ↓

Step-by-step explanation:

Information we need

Solving

circles are 360⁰ and lines are 180⁰

Answer:

63

Step-by-step explanation:

30 percent * 210 =

(30:100)* 210 =

(30* 210):100 =

6300:100 = 63