The expression 9X +5 and 11 X -25 represents the measures of two angles of regular nonagon. Find the Measure of an angle of a nonagon (question 16)

Final answer:

To identify where an error might have occurred, students should be aware of common mistakes, review personal feedback, and reflect on their thought processes. This helps in understanding and correcting errors, leading to improvement in critical and reflective thinking.

Explanation:

The first step in identifying an error in a student's work is to be cognizant of common mistakes that students make. By reviewing a common errors list and reflecting upon feedback from instructors, a student can pinpoint problem areas in his or her academic practice. Starting with the prediction and diagnosis of one's own learning process is essential. This may include recognizing patterns in mistakes, understanding why an error was made, or consulting with a teacher for further clarification. Once the source of the error is identified, the student can work on corrective measures to avoid similar issues in the future. Frequently, errors in thinking or application are not due to a lack of intelligence, but rather to the way our minds are wired, leading to characteristic mistakes that can be anticipated and mitigated with practice and reflection.

Answer:

2x-4 is the answer if you multiply 2x-4 by 4x-3 you get 8x squared minus 10x -12

Step-by-step explanation:

Answer:

800000000000

Step-by-step explanation:

i think

Answer:

the minimum distance from earth to mars is about 54.6 million kilometers. The   farthest apart they can be is about 401 million km. the average distance is about 225 million km

Step-by-step explanation: you divide 230,000,00,00 by two and then add 1.5 + 10/11.

Answer:

25% of the students were absent.

Step-by-step explanation:

100/392=0.26*98=25

To check 25%=1/4

so, 98*4=392

which makes sense.

Answer:

Variable.

Step-by-step explanation:

A letter that takes the place of a number is called a variable.

Answer:

variable

Step-by-step explanation:

A variable is a letter that represents a number. It can also be solved for.

Hope this helps

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Answer:

9. This is because you have to add 13 to -4, which gives you positive 9. Hope this helped!

The required, 5.241 divided by 3 equals approximately 1.747.

To divide 5.241 by 3, we can perform the division as follows:

    1.747

------------

3 | 5.241

To start, we divide the whole number part, 5, by 3. The result is 1, which becomes the whole number part of the quotient.

Next, we bring down the decimal point and consider the decimal part of the dividend, which is 0.241. We can continue the division process by adding a decimal point to the quotient and placing a 0 to the right of the decimal point.

   1.747

 3 | 5.241

     - 3

     -----

       24

Now, we divide 24 by 3, which gives us 8. We bring down the next decimal digit, which is 1, and continue the division:

   1.747

 3 | 5.241

     - 3

      -----

       24

     - 24

      -----

         1

Since there are no more decimal digits to bring down, we have finished the division. The final quotient is 1.747, rounded to three decimal places.

Therefore, 5.241 divided by 3 equals approximately 1.747.

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The expression [tex]\(5x + 2x - 3\)[/tex] is a linear expression.

The expression [tex]\(5x + 2x - 3\)[/tex] represents a linear expression because it consists of terms involving only the variable \(x\) raised to the power of 1. In other words, each term is a linear term.

Linear expressions depict relationships that are straight lines when graphed on a Cartesian plane. In this case, \(5x\) and \(2x\) are both linear terms since they involve the variable \(x\) raised to the first power, while the constant term \(-3\) does not involve \(x\) at all.

The expression simplifies to [tex]\(7x - 3\),[/tex] maintaining its linear form. Linear expressions are fundamental in algebra and represent relationships with constant rates of change.

Answer:

4 miles

Step-by-step explanation:

Answer:

630

Step-by-step explanation:

if you add the percentages of the trucks, sport cars and vans you get:

30% + 25% + 10% = 65%. So to find the percentage of vehicles that aren't in this categories you substract this percentage from 100%.

100% - 65% = 35%

This means that 35% of the vehicles aren't in those categories, so to find the amount you just multiply the total of vehicles with the percentage an then divide by 100

(1,800*35)/100 = 630 vehicles

Answer:

x=+-4

Step-by-step explanation:

Answer: False, there are 12 possible combinations.

Step-by-step explanation:

Each pair of pants matches to each shirt.  

She has 3 pairs of pants (1, 2, & 3) and 4 shirts (A, B, C, & D).

Here are all of the combinations:

           1A       1B       1C         1D

          2A      2B       2C        2D

          3A      3B       3C        3D

There are 3 pants × 4 shirts = 12 different combinations

Answer:

0.008.

Step-by-step explanation:

8 / 1000

= 0.008.

The 3rd position after the decimal point is the thousandth's.

The fraction 8/1000 in to a decimal gives 0.008.

Converting the Fraction 8/1000 to a Decimal:

To convert the fraction 8/1000 to a decimal, you need to divide the numerator by the denominator. In this case, divide 8 by 1000:

Thus, the fraction 8/1000 as a decimal is 0.008.

Answer:

She should earn $540 in a 40 hour week

Step-by-step explanation:

we know that

Her pay for 22 hours is $297

so

using proportion

Find out how much should she earn in a 40 hours week

[tex]\frac{22}{297}=\frac{40}{x}\\\\x=297*40/22\\\\x= \$540[/tex]

Answer:

The 30th term is 83

Step-by-step explanation:

we know that

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant called the common difference d

in this problem

[tex]a_1=-4\\a_2=-1\\a_3=2\\a_4=5\\a_5=8[/tex]

so

[tex]a_2-a_1=-1-(-4)=3\\a_3-a_2=-2-(-1)=3\\a_4-a_3=-5-2=3\\a_5-a_4=-8-5=3[/tex]

The common difference d is 3

We can write an Arithmetic Sequence as a rule:

[tex]a_n=a_1+d(n-1)[/tex]

Find out the 30th term

we have

[tex]n=30\\d=3\\a_1=-4[/tex]

substitute

[tex]a_n=-4+(3)(30-1)[/tex]

[tex]a_n=-4+(3)(29)[/tex]

[tex]a_n=83[/tex]

Final answer:

The 30th term of the linear sequence is 83, found using the formula for the nth term of a linear sequence an = a1 + (n - 1)d, with a common difference of 3.

Explanation:

To find the 30th term of the linear sequence given by -4, -1, 2, 5, 8,..., first identify the common difference between consecutive terms. In this sequence, each term increases by 3. So, the common difference (d) is 3.

To find the nth term of a linear sequence, use the formula:
an = a1 + (n - 1)d, where
an is the nth term,
a1 is the first term, and
d is the common difference.

For our sequence:
a1 = -4 (the first term),
d = 3,
n = 30 (since we are finding the 30th term).

Plugging into the formula gives:
a30 = -4 + (30 - 1) × 3
a30 = -4 + 29 × 3
a30 = -4 + 87
a30 = 83

Therefore, the 30th term of the sequence is 83.

Answer:

There are 13 miles between the opera house and Bryan's home.

Step-by-step explanation:

The equation [tex]2.50x+3=35.5[/tex] can be used to find the distance in miles (x) between the opera house and Bryan's home.

We will solve this to get the value of x.

[tex]2.50x+3=35.5[/tex]

=> [tex]2.50x=35.5-3[/tex]

=> [tex]2.50x=32.50[/tex]

we get x = 13

Hence, there are 13 miles between the opera house and Bryan's home.

Answer:

Remember PEMDAS? That comes into play here. Just multiply your x value with 1/3 and then square. After that just add the 4.

Step-by-step explanation:

Answer:

3/41; 1/6 40/97

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

Answer: if theres 1080 degrees in a octagon and 8 sides. Id suppose that a regular angle in the octagon would all equal the same weighting it to 1080/8=135 degrees. Correct me if im wrong.

Answer:

135°

Step-by-step explanation:

the eights angles is 1080 degrees and there are eughts angles so yhe mesure of yhe interior amgle of a regular octagon is 135 degrees

Answer:

see explanation

Step-by-step explanation:

Using the Remainder theorem

If f(x) is divided by (x - h) then f(h) = remainder, thus

f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is

27 + 9a + 3b + 4 = 10

9a + 3b + 31 = 10 ( subtract 31 from both sides )

9a + 3b = - 21 → (1)

f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is

- 1 + a - b + 4 = 6

a - b + 3 = 6 ( subtract 3 from both sides )

a - b = 3 → (2)

Rearrange (2) expressing a in terms of b

a = 3 + b → (3)

Substitute a = 3 + b into (1)

9(3 + b) + 3b = - 21 ← distribute and simplify left side

27 + 9b + 3b = - 21

12b + 27 = - 21 ( subtract 27 from both sides )

12b = - 48 ( divide both sides by 12 )

b = - 4

Substitute b = - 4 into (3)

a = 3 - 4 = - 1

Hence a = - 1 and b = - 4

Step-by-step explanation:

Let's start by defining our term:

How much she had at the beginning = B

Now let's edit that value like the problem says

B - B/4 - B/8 = 40

Let's multiply everything by 8 to get rid of any denominators

8B - 2B - B = 320

5B = 320

B = 64

Answer:

Rachel had $64 at the beginning.

Answer:

you and 4 other people can go to the game

Step-by-step explanation:

18 for parking

33 for you

33 for 4 other people

= 184 and you cant add another 33 to it cause it will go over 200

Answer:

5

Step-by-step explanation:

A game's packing cost is $18

A ticket for the game is $33

Your family gave you $200 + minivan

Let's say the number of friends (including yourself) you go with to the game is f.

Equating this expression;

$18 + $33f ≤ $200

$33f ≤ $200 - $18

$33f ≤ $182

f ≤ [tex]\frac{182}{33}[/tex]

f ≤ 5.515151515

Since we cannot have 0.515151515 friends, the number of friends (including yourself attending the game must be 5).

Answer:

it's the third one

Step-by-step explanation:

Answer:

The probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made is 0.7744  

Solution:

Total number of coils = number of good coils + defective coils = 88 + 12 = 100

p(getting two good coils for two selection) = p( getting 2 good coils for first selection ) [tex]\times[/tex] p(getting 2 good coils for second selection)

p(first selection) = p(second selection) = [tex]\frac{\text { number of good coils }}{\text { total number of coils }}[/tex]

Hence, p(getting 2 good coil for two selection) = [tex]\frac{88}{100} \times \frac{88}{100} =\bold{0.7744}[/tex]

Probability of selecting two good coils with replacement: [tex]\(0.88 \times 0.88 = 0.7744\)[/tex]. Correct answer is D) 0.7744.

To solve this problem, we need to calculate the probability of selecting two good coils when the first selection is replaced before the second is made. This means the selections are independent.

Here are the steps:

1. Calculate the total number of coils:

  12 defective +88 good $=100$ total

2. Determine the probability of selecting a good coil on the first draw:

  [tex]\[ P(\text{good on first draw}) = \frac{88}{100} = 0.88 \][/tex]

3. Since the first coil is replaced, the probability of selecting a good coil on the second draw is the same:

  [tex]\[ P(\text{good on second draw}) = \frac{88}{100} = 0.88 \][/tex]

4. Calculate the probability of both events (selecting two good coils):

  [tex]\[ P(\text{two good coils}) = P(\text{good on first draw}) \times P(\text{good on second draw}) \][/tex]

  [tex]\[ P(\text{two good coils}) = 0.88 \times 0.88 = 0.7744 \][/tex]

Therefore, the probability of getting two good coils when two coils are randomly selected with replacement is:

[tex]\[\boxed{0.7744}\][/tex]

So the correct answer is:

D) 0.7744

The correct question is:

A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.

A) 0.176

B) 0.0144

C) 0.7733

D) 0.7744

Answer:solution

Step-by-step explanation:

I got it right

Answer:

[tex]g(x) = x + 2[/tex]

Step-by-step explanation:

Parent function [tex]f(x) = x + 5[/tex], is shifted 3 units to the right.

If f(x) is shifted 'a' units to the right then f(x) becomes f(x-a)

If f(x) is shifted 'a' units to the left then f(x) becomes f(x+a)

[tex]f(x) = x + 5[/tex], is shifted 3 units to the right.

Then we subtract 3 from x

So , [tex]f(x) = x + 5[/tex] becomes [tex]f(x-3) = x-3 + 5=x+2[/tex]

[tex]g(x) = x + 2[/tex]

The equation of function will be;

g (x) = x + 2

Option d is true.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

Parent function, f(x) = x + 5 is shifted 3 units to the right.

Since, If a function f(x) is shifted 'a' units to the right then function f(x) becomes f(x-a).

So, The equation of function will be calculated as;

The parent function is shifted 3 units to the right.

Then, we subtract 3 as;

g (x) = x + 5 - 3

g (x) = x + 2

Thus, The equation of function will be;

g (x) = x + 2

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Answer:

6 AO

Step-by-step explanation:

If you compare the vector formed with AO it is 6 AO.

You can do it mathematically too converting each point in coordinates (x, y). But since it didnt say how to do it, the simplest is just drawing an hexagon and summing the vectors

Answer:

x = - 1.10 and x = 1.10

Step-by-step explanation:

Given

25x² - 30 = 0 ( add 30 to both sides )

25x² = 30 ( divide both sides by 25 )

x² = [tex]\frac{30}{25}[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{30}{25} }[/tex]

x = - 1.10 and x = 1.10 ( to the nearest hundredth )

The correct answer is a.  x = -1.10 and  x = 1.10 .

To solve the quadratic equation [tex]\( 25x^2 - 30 = 0 \)[/tex], we first add 30 to both sides of the equation to isolate the quadratic term:

[tex]\[ 25x^2 = 30 \][/tex]

Next, we divide both sides by 25 to solve for [tex]\( x^2 \)[/tex]:

[tex]\[ x^2 = \frac{30}{25} \] \[ x^2 = 1.2 \][/tex]

 Now, we take the square root of both sides to solve for x. Remember that when taking the square root of a number, we must consider both the positive and negative square roots:

[tex]\[ x = \pm\sqrt{1.2} \][/tex]

Using a calculator, we find the square root of 1.2 and round to the nearest hundredth:

[tex]\[ x = \pm1.095445115... \][/tex]

Rounded to the nearest hundredth, the solutions are:

[tex]\[ x = -1.10 \] \[ x = 1.10 \][/tex]

Therefore, the correct options are  x = -1.10 and  x = 1.10 . The other options provided [tex](\( x = -26.15 \)[/tex] and x = 1.15 ,  x = 0 ,  x = -0.83  and  x = 0.83 are incorrect and do not satisfy the original equation.

The complete question is- Solve [tex]25x^2-30=0[/tex]

Round the answer to the nearest hundredth

a. x=-1.10 and x=1.10

b. x=-26.15 and x=1.15

c. x=0

d. x=-0.83 and x=0.83​