If ε={1, 2, 3, 4,………….., 10} and A = Set of even numbers between 1 and 10. B = Set of odd numbers between 1 and 10 C = Set of prime numbers between 1 and 10 List down the elements of sets A, B and C.

Answer:

Option (i)

Step-by-step explanation:

{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.

Answer:

x = 4

Step-by-step explanation:

2x = 8

Divide both sides by 2.

x = 8/2

x = 4

The value of x in the equation is 4.

Answer:

m∠K = 69°

Step-by-step explanation:

"When two tangents or secants intersect outside the circle, exterior angle formed between the tangents of secants is one half the difference of major and minor arcs"

By this theorem,

m(∠K) = [tex]\frac{1}{2}[m(\widehat{LBJ}-m(\widehat{LJ})][/tex]

Here, [tex]m(\widehat{LBJ})[/tex] = 249°

[tex]m(\widehat{LJ})[/tex] = 360° - 249°

          = 111°

m∠K = [tex]\frac{1}{2}(249-111)[/tex]

        = [tex]\frac{138}{2}[/tex]

        = 69°

Therefore, measure of angle K = 69° will be the answer.

RU is a diameter, so the two equations make half a circle which is 180 degrees.

24x+5 + 10x+5 = 180

Combine like terms:

34x + 10 = 180

Subtract 10 from both sides:

34x = 170

Divide both sides by 34

X= 5

RS= UV

RS = 10x +5

Replace x with 5

RS = 10(5) + 5 = 55

Answers:

X = 5

RS = 55

Answer:

34.5

Step-by-step explanation:

Given that :

112% = 38.64.

We need to calculate 100%

DO this by finding 1% then multiply that by 100.

112% = 38.64

1% = 38.64/112 =  0.345

100% = 34.5

Hope this helps.

Please mark brainiest

Using proportions, it is found that the actual pressure is of 34.5.

The rule of three is:

38.64 - 1.12

x - 1

Applying cross multiplication:

[tex]1.12x = 38.64[/tex]

[tex]x = \frac{38.64}{1.12}[/tex]

[tex]x = 34.5[/tex]

The actual pressure is of 34.5.

A similar problem is given at https://brainly.com/question/23536327

Answer:

The object would be a Parabola

Step-by-step explanation:

The mathematical object which represent the given situation is the parabola.

Given that, you want path 2 to be equidistant from the crocodile river and the habitat you chose.

What is a parabola?

In mathematics, a parabola is a plane curve which is mirror-symmetrical and approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point and a line.

Therefore, the mathematical object to represent the given situation is the parabola.

To learn more about the parabola visit:

https://brainly.com/question/21685473.

#SPJ5

Answer:

The width (side perpedicular to the wall of the werehouse):  x = 30 m

The lenght (side parallel to the wall of the werehouse):  y = 60 m

Step-by-step explanation:

x - the width of the fenced area

Randy has 120 m of fencing so for the lenght remain (120-2x) m of fencing:

y = 120 - 2x

Area of the fencing:  A = x•y

A(x) = x•(120 - 2x)

A(x) = -2x² + 120x              ←  quadratic function

The maximum value of quadratic function occurs at:  [tex]x=-\frac b{2a}[/tex]

a = -2     b = 120

[tex]x=-\frac b{2a}=-\frac{120}{2\cdot(-2)}=-\frac{120}{-4}=30[/tex]

y = 120 - 2•30 = 60

Answer:

A

Step-by-step explanation:

Im good at math

Answer:

A. 16 percent

Step-Aby-step explanation:

Answer:

18 and 9

Step-by-step explanation:

The numbers are x and 1/2x.

x + 1/2x = 27

3/2x = 27

x = 18 so the numbers of 18 and 9.

Answer:

6A) i) 5 and 3 product is 15

ii) (-5) and (-3) product is 15

6B. The product of 5·i and 3·i is -15

6C. When two or more real factors are multiplied and they have the same sign, the product is positive

Step-by-step explanation:

6A. To examples that support Francisco's statement are;

Given the factors that have the same sign;

i) 5 and 3 both positive

ii) (-5) and (-3) both negative

The products of each of the two factors are therefore;

5 × 3 = 15 (Positive product)

(-5) × (-3) = 15 (Positive product)

6B. An example that refutes Francisco's claim is the product of two imaginary numbers 5·i and 3·i where i = √(-1) as follows;

5·i × 3·i = 15·i² = 15×i×i = 15 × √(-1) ×√(-1) = 15×(√(-1))² = 15 × (-1) = -15

Therefore;

5·i × 3·i = -15 which is a negative number and therefore refutes Francisco's claim

6C. Francisco could rewrite his statement as follows;

When two or more real factors are multiplied and they have the same sign, the product is positive

To make it always true.

Answer:

1

Step-by-step explanation:

[tex]y - 3 = \frac{1}{4} (x - 8) \\ y = \frac{1}{4} x - \frac{1}{4} \times 8 + 3 \\ \\ y = \frac{1}{4} x - 2 + 3 \\ \\ y = \frac{1}{4} x + 1 \\ equating \: it \: with \: y = mx + b \\ b = 1 \\ y - intercept = 1[/tex]

Answer:

1

Step-by-step explanation:

i just took the test

Answer:

-1/8

Step-by-step explanation:

(-1/2)(-1/2)(-1/2)=-1/8

Answer:

solution,

[tex] (\frac{ - 1}{2} ) ^{3} \\ = \frac{( { - 1)}^{3} }{( {2}^{3} )} \\ = \frac{ - 1 \times ( - 1) \times ( - 1)}{2 \times 2 \times 2} \\ = - \frac{ 1}{8} [/tex]

hope this helps...

Good luck on your assignment

Answer:

4 ( x-1)^2

Step-by-step explanation:

4x^2 − 8x + 4.

Factor out the greatest common factor

4( x^2 -2x+1)

Factor inside the terms

4( x-1) (x-1)

4 ( x-1)^2

Answer:

4(x-1)(x-1)

4(x^2-2x+1) C

Step-by-step explanation:

4x^2 − 8x + 4 common factor 4

4(x^2-2x+1)

4(x-1)(x-1) or (4x-4)(x-1)

Answer:

A≈1135.93

Step-by-step explanation:

Hope I help

Answer:

1136.6cm^2

Step-by-step explanation:

[tex]V = 3600\\V =\frac{4}{3} \pi\times r^3\\3600=\frac{4}{3} \times \frac{22}{7} \times r^3\\3600 =\frac{88r^3}{21} \\88r^3 =3600 \times 21\\88r^3 =75600\\\frac{88r^3}{88} =\frac{75600}{88} \\r^3 = 859\\\sqrt[3]{r^3} =\sqrt[3]{859} \\r = 9.51\\\\T.S.A = 4\pi\times r^2\\T.S.A = 4 \times 3.142\times 9.51^2\\T.S.A = 4 \times 3.142 \times 90.4401\\T.S.A = 4\times 284.16\\T.S.A =1136.64[/tex]

Answer:

a) Each friend gets 12 sweets

b) There is 1 sweet left

Step-by-step explanation:

When you divide 49 by 4 you will get 12 with a remainder 1.

49 ÷ 4 = 12 R1

The remainder is the left over while the total result is how much each friend gets.

Answer:

A) 12

B) 1

Step-by-step explanation:

49 cannot be divided equally among the 4 friends but 48 can be divided.

A) So,

48/4 = 12 sweets

Each friend gets 12 sweets

B) 1 sweet is left

Answer:

Step-by-step explanation:

if x+3 is a factor, then -3 is a root of expression, and the remainder would be 0

calculating remainder:

[tex]-3(-3)^3+6(-3)^2+6(-3)+9=-3\cdot(-27)+6\cdot9-18+9=\\\\=81+54-9=126[/tex]

Answer:

√0.08¹² = 0.08⁶

Answer:

[tex]0.08^6[/tex]

Step-by-step explanation:

[tex]\sqrt{0.08^{12}}[/tex]

The square root can be written as an exponent.

[tex]0.08^{12 \times 1/2}[/tex]

Multiply the exponents.

[tex]0.08^6[/tex]

Answer:

£60

Step-by-step explanation:

Given that

The cost after reduction  = £54

So, 90% = £54

We have to find 100%

To do so, find 10% and ,multiply that by 10

90% = £54

10% = 54/9 = £6

1005 = 6x10 = £60

Hope this helps,.

Please mark brainiest

Answer:

see explanation

Step-by-step explanation:

Given x = 12, y = 144

We can see that y is 12 times the value of x, thus

(a)

y = 12x

(b)

when x = 7, then

y = 12 × 7 = 84

Answer:

Im pretty sure its D- 123

Step-by-step explanation:

Edg 2020

Answer: 36

Step-by-step explanation:

Let the no. of biscuits be x

Peanuts will be 1/3x

So,

1/3x + 12 + 12 = x

1/3x + 24 = x

x + 72 = 3x

x-3x = -72

x = 72/2 = 36

Peanut biscuits will be 1/3 * 36 = 12

Total no. of biscuits baked were 12+12+12 = 36

Answer:

Man-hours to build the wall: 3 * 10 = 30

:

let m = no. of men required to do it 7.5 hrs

7.5m = 30

m = [tex]\frac{30}{7.5}[/tex]

m = 4 men to build it in 7.5 hrs

Step-by-step explanation:

Answer:

y=16x - 35

graph is in the pic

Answer:

Parent Function:

y=√x

Horizontal Shift: Right 2 Units

Vertical Shift: Down 3

Units

Reflection about the x-axis: None

Vertical Stretch: Stretched

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

To solve this equation, first find out 4y, which equals 16. Then do the full equation, 16-16=0.

Answer:

Let 16-4y=0

Substracting 16 on both sides

16-16-4y=-16

-4y=-16

4y=16

y=4

Rebutting the value of y

=16-4(4)

=16-16

=0

Step-by-step explanation:

I hope this will help you :)

Answer:

1

Step-by-step explanation:

Factors of 9 are:

1, 3, 9

Factors of 20 are:

1, 2, 5, 10, 20

The greatest common factor is 1.

Answer:

x=sqrt(3)/2 or -sqrt(3)/2

Step-by-step explanation:

(x,1/2) is on the unit circle at pi/6 and 5pi/6.

so x is either sqrt(3)/2 or -sqrt(3)/2

Answer:  [tex]-\sqrt{3}/2[/tex]

Step-by-step explanation: I did the question and got it right

Answer: There is one solution, -20

Step-by-step explanation:

[tex]-6(x+7)=-4x-2\\\\Distribute\\\\-6x-42=-4x-2\\\\Add(6x)\\\\-42=2x-2\\\\Add(2)\\\\-40=2x\\\\x=-20[/tex]

There is one solution, -20

Hope it helps <3

Answer:

Step-by-step explanation:

Solution,

[tex] - 6(x + 7) = - 4x - 2[/tex]

Distribute -6 through the parentheses

[tex] - 6x - 42 = - 4x - 2[/tex]

Move variable to L.H.S and change its sign

[tex] - 6x + 4x - 42 = - 2[/tex]

Move constant to R.H.S and change its sign

[tex] - 6x + 4x = - 2 + 42[/tex]

Collect like terms

[tex] - 2x = - 2 + 42[/tex]

Calculate the sum

[tex] - 2 x = 40[/tex]

Divide both sides of the equation by - 2

[tex] \frac{ - 2x}{ - 2} = \frac{40}{ - 2} [/tex]

Calculate

[tex] x = - 20[/tex]

Hope this helps..

Good luck on your assignment..

This used to confuse me, too. We can use a variable to represent a number we don't know.

In elementary school, you had a problem that said 3 + _ = 8 and you could figure out the blank was 5.

Instead, we have 3 + x = 8 and we can figure out that x = 5.

We can also be given a value for x and asked something like if x = 8, what is x + 7, which we know is 15.

In algebra, when we multiply by a variable, we just say how many of that variable it is. Twelve times a variable is 12x or 12a or 12q, depending on what letter we decide to use to represent our variable.

So, six times a certain number, which we are spparently calling x, is 6x. Adding 8 to that is 6x + 8. Those do not combine to make 14 or 14x because one term has the variable and one does not.

If the result is 32...

6x + 8 = 32

Let's look at the other options.

6x = 32. Where's the 8 added??

6(x + 8) = 32. Well, that looks like it could be it, buuuuut we'd multiply 6 by everything in the parentheses, so this is 6 times the sum of a number and 8 is 32, or 6x + 48 = 32. Not quite.

6x = 8 + 32. That's six times a number equals the sum of 8 and 32, right? Thaaaat's not what it says.

Answer:

31

Step-by-step explanation:

We just have to calculate 87 - 56 which is 31 so the answer is 31 sunflowers.

Answer:

31

Step-by-step explanation:

Since we know that we started with a higher number than we ended with, it is obvious that this is a subtraction problem. Then, we simply have to find the difference by subtracting 87 by 56 (87 - 56 = x). After the calculation, we see that the answer is 31 (87 - 56 = 31).

Answer:

£3.96

Step-by-step explanation:

Data obtained from the question include:

Isaac's ratio = 2

Victoria's ratio = 5

Total ratio = 2 + 5 = 7

Amount Victoria recieve = £6.60.

Next, we shall determine the total amount of money shared by Isaac and Victoria. This is illustrated below:

Let T be the total amount of money shared.

Victoria received = £6.60

Victoria's share =

Victoria's ratio/total ratio x total amount

£6.60 = 5/7 x T

£6.60 = 5T/7

Cross multiply

5T = £6.60 x 7

5T = £46.2

Divide both side by 5

T = £46.2/5

T = £9.24

Therefore, the total amount shared is £9.24.

Next, we shall determine the amount received by Isaac. This is illustrated below:

Victoria's share = £6.60

Total amount shared = £9.24.

Isaac's share =?

Isaac's share = Total amount shared – Victoria's share

Isaac's share = £9.24 – £6.60

Isaac's share = £2.64

Therefore, Isaac received £2.64

Finally, we shall determine the difference between how much money Isaac and Victoria receive. This is illustrated below:

Victoria recieve = £6.60

Isaac receive = £2.64

Difference = £6.60 – £2.64

Difference = £3.96

Therefore, the difference in the amount received by Victoria and Isaac is £3.96