challenge questions 1

Answer:

Is it the subset of 1, or other numbers.

Step-by-step explanation:

please be more specific with the question so I can actually answer please, I would try to help but I don't know the question. If you update it It would be more helpful.

To list all subsets of a set, use binary representation to generate all possible combinations by including or excluding each element.

A subset is a collection of elements from a set. To list all subsets of a set, we can use the concept of binary representation. Each element in the set can be either included or excluded in a subset. By representing each element as a binary digit, we can generate all possible subsets.

For example, if we have a set {1, 2, 3}, we can represent it as 000, 001, 010, 011, 100, 101, 110, 111, where each digit represents whether the element should be included or not. The subsets are: { }, {1}, {2}, {1, 2}, {3}, {1, 3}, {2, 3}, {1, 2, 3}.

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For this case we have:

By definition, a mathematical function is the correspondence or relation f of the elements of a set A with the elements of a set B. A function fulfills the condition of existence (all the elements of A are related to the elements of B) and with the condition of uniqueness (Each element of A is related to a single element of B).

That said, we can conclude that the relationship shown in the table defines a function of the form [tex]y = f (x)[/tex]

By definition, the domain of a function is represented by the input elements of it.

Thus, the domain is given by Domain: (m, n, p, q)

Answer:

Yes, Domain: (m, n, p, q)

Option A

1 inch = 400 miles The scale gives the relationship between the measurements of the model and the measurements of the real object. Hope this helps.

Since, Jesse is building a spice rack.

The total length of wood = 90 centimeters

He cuts the board into three parts.

The length of the first part = 23.5 cm

So, remaining length of the board = [tex]90 - 23.5[/tex] = 66.5 cm

Now, he cuts the second part.

The length of the second part = 33.3 cm

So, now remaining part of the board = [tex]66.5 -33.3[/tex] = 33.2 cm

Now, he cuts the third part of the board.

The length of the third part = 19.45 cm

Now, the remaining part of the board = [tex]33.2-19.45[/tex] = 13.75 cm

So, the length of the original board after cutting the three parts = 13.75 cm

So, Option A is the correct answer.

Answer:

Step-by-step explanation:

So, the length of the original board after cutting the three parts = 13.75 cm

So, Option A is the correct answer.

Answer: x = 120°

angles: 60°, 60°, 120°, 120°

Step-by-step explanation:

x + x + [tex]\frac{1}{2}x[/tex] + [tex]\frac{1}{2}x[/tex] = 360°

3x = 360°

x = 120°

[tex]\frac{1}{2}x = \frac{1}{2}(120)[/tex] = 60°

In the inequality a>b, 'a' will be located to the right of 'b' on a number line. This is because numbers increase as we move to the right on a number line.

If the inequality a>b holds, then the position of a on the number line is to the right of b. This is because on a number line, numbers increase as we move towards the right. Consequently, a larger number will always be to the right of a smaller number.

For instance, if a=5 and b=3, on the number line, the point at 5 (representing a) will be to the right of the point at 3 (representing b). This shows that a is greater than b.

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ANSWER.

The correct answer is Option A

EXPLANATION.

The real number

[tex]\sqrt{35}=5.916079783[/tex]

to 9 decimal places.

You can see that the decimals are not repeating, neither will they terminate.

Therefore the real number [tex]\sqrt{35}[/tex] is irrational because, the decimal does not terminate or repeat

Also note that,

[tex]\sqrt{35}=\sqrt{5} \times \sqrt{7}[/tex] .

That is,

[tex]\sqrt{35}[/tex] is a product of two irrational numbers, which still gives an irrational number.

Answer:

B i think

Step-by-step explanation:

Multiply 36.50 by 8 and then multiply that answer by 5 to get your answer

$1,460 a week

36.50 by 8 multiply the answer by 5 to get your answer $1,460 a week

Note that (-6)^2 = (-6)(-6)

Multiply across. Remember that when multiplying two negative numbers, the product would be a positive answer

(-6) x (-6) = 36

36 is your answer

~Rise Above the Ordinary, Senpai

Answer:

[tex]\huge \boxed{36}}[/tex]

Step-by-step explanation:

PEMDAS

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

[tex]\displaystyle-6^2=6^2[/tex]

Exponent, to find the answer.

[tex]\displaystyle6^2=6*6=36[/tex]

[tex]\displaystyle 36[/tex], which is our answer.

Answer:

Answer 4

Step-by-step explanation:

ANSWER

The degree of the given polynomial is [tex]5[/tex]

EXPLANATION

The given polynomial is

[tex]p(x)=x^4+2x^3-3x^5+4x-5x^2+6[/tex]

When we write this polynomial in descending order, we get,

[tex]p(x)=-3x^5+x^4+2x^3-5x^2+4x+6[/tex]

The highest degree is 5.

Hence the degree is 5

The line y = 5 is a horizontal line. A line perpendicular to a horizontal line is a vertical line. The vertical line that passes through point (-7, -5) has equation x = -7.

Answer: x = -7

To find the answer you divide the whole amount of 1456 by 7 since there is the 1 regular priced group and the remaining 6  discounted priced ticked. When you divide the 1456 by 7 it comes out to be 208 and to find the amount of the group of 6 you would multiply the 208 times the 6 and that will give you the amount of the dicount tickets sold. which is 1248.

1)Find all the like terms=3x3x/6>1/3x+2

2)Multiply both sides by six=9x>2x+12

3)Move the variables to the left side and change the sign=9x-2x>12

4)Find the like terms=7x>12

5)Divide by sides by seven=x>12/7

6)Your answer is x>12/7

I hope this helps! :)

2x² - 3x - 8

note that (f - g)(x) = f(x) - g(x) = 2x² - 5 - 3x - 3 = 2x² - 3x - 8

[tex]-\dfrac{r}{3} \leq6\qquad|\text{change the signs}\\\\\dfrac{r}{3}\geq-6\qquad|\cdot3\\\\r\geq-18[/tex]

Let the width of room be =x mtrs

Then the length is x+2 mtrs

As Perimeter = 2(l+b) = 2(x+x+2)

16 = 2 ( 2x+2)

16/2 = 2x +2

8=2x+2

2x= 8-2 = 6

x = 6/2 =3 mtrs

Therefore width of the room is 3 mtrs

2(w)+ 2(w+2)=16

2w + 2w +4 =16

4w + 4 =16

4w = 12

w =3

width = 3 meters

Another -150 was added to her score

The answer is -150.................................

-425-(-275)=-150

It's a linear function. We need only two points to draw a graph.

We choose any values of x and calculate the value of y.

[tex]6x-2y=2\qquad|-6x\\\\-2y=-6x+2\qquad|:(-2)\\\\y=3x-1[/tex]

for x= 0 → y = 3(0) - 1 = 0 - 1 = -1 → (0, -1)

for x = 2 → y = 3(2) - 1 = 6 - 1 = 5 → (2, 5)

[tex]9x-3y=1\qquad|-9x\\\\-3y=-9x+1\qquad|:(-3)\\\\t=3x-\dfrac{1}{3}[/tex]

for x = 0 → y = 3(0) - 1/3 = 0 - 1/3 = -1/3 → (0, -1/3)

for x = 2 → y = 3(2) - 1/3 = 6 - 1/3 = 5 2/3 → (2, 5 2/3)

Opposite rays form at 1:38 because the minute hand and the hour hand go towards the opposite direction from the center of the clock.

In the context of an analog clock, opposite rays form when the hour and minute hands point in exactly opposite directions. This doesn't occur at either 1:35 or 1:38. The closest approximation of this situation on a clock is at 6 o'clock.

If we use the analogy of a typical analog clock face, opposite rays would form when the minute and hour hands are directly across from each other. For instance, at exactly 6 o'clock the minute and the hour hands on the clock are opposite rays, because they start from the same point (the center of the clock) and extend in opposite directions.

Looking at the times 1:35 and 1:38, neither time is an exact representation of opposite rays. At 1:35, the minute hand is pointing at 7 and the hour hand is somewhere between 1 and 2, which is not directly opposite. At 1:38, the situation is similar, but the minute hand is now pointing at around 8.

So the fact is, opposite rays do not form at either 1:35 or 1:38 in the analog clock representation. Opposite rays are formed when the hour hand is on the six and the minute hand is on the twelve.

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[tex]180:2=90\\90:2=45\\45:3=15\\15:3=5\\5:5=1\\\\180=\boxed{2}\cdot2\cdot\boxed{3}\cdot\boxed{3}\cdot5\\\\594:2=297\\297:3=99\\99:3=3\\33:3=11\\11:11=1\\\\594=\boxed{2}\cdot\boxed{3}\cdot\boxed{3}\cdot3\cdot11[/tex]

[tex]LCM(180,\ 594)=\boxed{2}\cdot\boxed{3}\cdot\boxed{3}\cdot2\cdot3\cdot5\cdot11=5940\\\\GCF(180,\ 594)=\boxed{2}\cdot\boxed{3}\cdot\boxed{3}=18[/tex]

So, the ratio between the LCM of 180 and 594 and the GCF of 180 and 594 is [tex]\(990:1\)[/tex].

To find the ratio between the least common multiple (LCM) and the greatest common factor (GCF) of two numbers, we need to calculate both the LCM and the GCF first.

1. Calculate the LCM of 180 and 594:

  The prime factorization of 180 is [tex]\(2^2 \times 3^2 \times 5\)[/tex].

  The prime factorization of 594 is [tex]\(2 \times 3^3 \times 11\)[/tex].

  The LCM is the product of the highest power of each prime factor:

  LCM [tex]\(= 2^2 \times 3^3 \times 5 \times 11 = 5940\)[/tex].

2. Calculate the GCF of 180 and 594:

  The common factors of 180 and 594 are [tex]\(2 \times 3 = 6\)[/tex]  

  So, GCF [tex]\(= 6\)[/tex].

Now, let's find the ratio between the LCM and the GCF:

[tex]\[ \text{Ratio} = \frac{\text{LCM}}{\text{GCF}} = \frac{5940}{6} = 990 \][/tex]

Solution

f(x) = -20[tex]x^{2}[/tex] +14x + 12 and g(x) = 5x - 6.

(f/g)(x) = [tex]\frac{f(x)}{g(y)}[/tex]

(f/g)(x) = [tex]\frac{-20x^{2}+14x +12 }{5x - 6}[/tex]

Step 1: Now we have to factorize the numerator.

f(x) = -20x^2 + 14x + 12

Factor out -2, we get

= -2 (10x^2 - 7x - 6)

Now we can factorize 10x^2 - 7x - 6                  

f(x) = -2(2x + 1) (5x - 6)

Step 2: Plug in the factors

(f/g)(x) = [tex]\frac{-2 (2x +1)(5x - 6)}{(5x - 6)}[/tex]

Step 3: Cancel out the common factor (5x - 6) from the numerator and the denominator, we get

(f/g)(x) = -2(2x +1) = -4x -2

Since -4x -2 is linear expression, the domain is all the real numbers.

Therefore, the answer is –4x – 2; all real numbers

Thank you :)

Answer:

In order to solve this, first add 7.5 to both sides of the equation.

[tex]2x-7.5+7.5=23.50+7.5[/tex]

[tex]2x=31[/tex]

Divide 2 on both sides of the equation for x.

[tex]\frac{2x}{2}[/tex]=[tex]\frac{31}{2}[/tex]

[tex]x=\frac{31}{2}[/tex] or [tex]15.5[/tex]

4x + 36 = 4(x + 9)

Hope this helps

-AaronWiseIsBae

62,732+469=63,201

63,201+62,732=125,933

your answer is 125,933

The number that, when raised to the 10th power and divided by the same number to the 7th power equals 27, is 3. This is resolved by simplifying the initial equation to realize that we are looking for the cube root of 27.

The question is asking for a number which, when raised to the 10th power and divided by the same number raised to the 7th power, equals 27. Let's denote the number as 'x'. The mathematical representation of this would be x10 / x7 = 27. Since x10 / x7 simplifies to x3, our equation becomes x3 = 27. Now if we solve this, the number 'x' equals the cube root of 27, which is 3.

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tan(6.5) * 4 = .9 or .88110880134

Answer:

h≈0.5 mi.  (to nearest tenth of a mile)

Step-by-step explanation:

tan6.5=h/4

h=4tan6.5 mi

h≈0.5 mi.  (to nearest tenth of a mile)