,8. If A= {x:x is a factor of 72}
B= {x:72x+3<2x --3}.
C= {x:x<20} and A, B, Ccu.
Where 11 = {integers), list the
elemen:s of AnBnc.
(WAEC) pls help thx​

Answers

Answer 1

Answer:

No element is common to all the sets

AnBnc = { }

Step-by-step explanation:

If A= {x: xis a factor of 72}

A = {2, 3, 4, 6, 8, 9, 12, 18, 36, 72}

If B= {x: 72x+3<2x-3).

72x+3 <2x-3

72x - 2x < -3-3

70x < -6

x < -6/70

x < -3/35

x< -0.0857

If

C= {x:x<20}

C = {-∞, 19}

The intersection of the sets AnBnc = {} i.e an empty set

Note that intersection means all the elements common to the three sets


Related Questions

Which expressions are equivalent to 12a+24b? Select all that apply. 10(2a+14b) 2(6a+4b) 6(2a+4b) 3(4a+8b)

Answers

Answer:

3(4a+8b)

Step-by-step explanation:

12a + 24b

= The common multiple between 12 and 24 is 3

3(4a + 8b)

Hence the expression which is equivalent to 12a + 24b is 3(4a+8b)

SIBLE POINTS
The perimeter of the larger rectangle is 2 meters greater than twice the perimeter of the smaller rectangle. What is the perimeter of the larger
rectangle?
3x - 1
x + 1
4x - 5
Х

Answers

Answer:

U equal them

Step-by-step explanation:

An divide

Anyone who can help me answer this I’ll brainliest you :)

Answers

Answer:

If <1 and <2 are complementary, and <2 and < 3 are complementary, then <1 and < 3 are also complementary.

Step-by-step explanation:

Two angles are complementary when they add up to the same whole. For example, two angles are complementary when they add up to 90 degrees. This is a simple "if A=B, and B=C, then A=C" situation. The angles may have different degrees but all add up to the same one, making them complementary.

A water tank contains 320 litres of water, correct to the nearest 10 litres. 50 litres of water, correct to the nearest litre, are removed from the tank. Calculate the upper bound of the amount of water left in the tank.

Answers

Answer:

[tex]N_l=270 litres[/tex]

Step-by-step explanation:

From  the question we are told

Total litres of water [tex]N_t=320[/tex]

Total litres removed [tex]N_r=50[/tex]

Generally the Total litres left in the tank N_l is mathematically given as

[tex]N_l=N_t-N_r[/tex]

[tex]N_l=320-50[/tex]

[tex]N_l=270 litres[/tex]

Therefore the total water left in the tank is

[tex]N_l=270 litres[/tex]

Convert 27576 kilometres per hour to metres per second.

Answers

Answer:

27576 kilometres per hour = 7660 meter per second

1. What is the distance between Point A(-2,3) and Point B (-2,8).

Answers

Answer:

5

Step-by-step explanation:

How do you solve 3x7x4 using parentheses

Answers

Answer:

84

Step-by-step explanation:

Answer:

either (3x7)x4   or (3)(7)(4)

Step-by-step explanation:

Determine the Value of x,y and z.

Answers

Answer:

x=9

y=16

z=12

Step-by-step explanation:

The volume of a cube is 8 in^3 What is the length of one side?
2.7in3
2 in3
2.7 in
2 in

Answers

Answer:

2 in

Step-by-step explanation:

Use the cube volume formula, V = s³, where s is the side length

Plug in 8 as V and solve for s:

V = s³

8 = s³

Take the cube root of both sides:

2 = s

So, the length of one side is 2 inches.

The length of one side of cube will be 2 in i.e. option D.

What is volume ?

Volume is the amount of space that something contains or fills.

Volume of the cube = side³ = a³

We have,

Volume of the cube = 8 in³

And,

Side of cube = a

So,

Volume of the cube = side³ = a³

i.e.

8 = a³

⇒ a³ = 8

a = ∛8

On solving we get,

a = 2

i.e.

Side of cube = 2 in

Hence, we can say that the length of one side of cube will be 2 in i.e. option D.

To know more about volume of the cube click here

https://brainly.com/question/27770332

#SPJ2

Define the variables for the situation. Then enter an equation.
The pencils were divided into 6 groups of 4.
p =
(select)
Enter an equation:
M
6

Answers

Answers:

The definition of the variable:

P = Pencils

The Equation:

[tex]\frac{p\\}{6}[/tex] = 4

What we know:

The pencils were divided into 6 groups of 4.

The variable for pencils is P.

Step-by-step explanation:

So, to find the equation we plug-in P over 6 because we are dividing the pencils into 6 groups. We plug in the number 4 in the right-hand box because it represents the number which is in each group. So this equation shows that the Pencils (P) is split into 6 groups with 4 pencils in each group.

I hope this helps! Have a great day! :D

Select the equivalent expression.
43
5-2
5
=?
Choose 1 answer:
415.510
415
510
Do 5 problems OOOO

Answers

Answer:

45448

Step-by-step explanation:

omggggggg i dont know please helppppppppppp meeeeeee

Answers

50 - 12 = 38. X = 12 is the answer

Answer:

12

Step-by-step explanation:

Subtract 38 from 50, and get your answer

Write 14/square root of 2 + square root of 50 in the form b square root of 2 where b is an integer

Answers

Step-by-step explanation:

[tex] \frac{14}{ \sqrt{2} } + \sqrt{50} \\ \frac{ \sqrt{2} \times \sqrt{2} \times 7}{ \sqrt{2} } + \sqrt{25 \times 2} \\ \\ 7 \sqrt{2} + 5 \sqrt{2} = 12 \sqrt{2} [/tex]

The given expression can be written in the form of b√2 as 12√2 where b = 12.

What is an Algebraic expression?

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is [tex]14/\sqrt{2}+\sqrt{50}[/tex].

It can be rewritten as,

[tex]14/\sqrt{2}+\sqrt{50}[/tex]

Multiply √2 to both numerator and denominator of 14/√2 as,

14√2/2 + √50

⇒ 7√2 + √(5 × 5 × 2)

⇒ 7√2 + 5√2 = 12√2

On comparing 12√2 with b√2, it is obtained as,

b = 12

Hence, the given expression can be written as 12√2.

To know more about algebraic expression click on,

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what is the domain and range for a^x and a^-x?

Answers

Answer: Domain: (−∞,∞), {x|x ∈ R}
Range: (−∞,∞), {y|y ∈ R}

how many differnt triangles can you make if you are given these three measurements for angles

Answers

Answer:

3

Step-by-step explanation:

i think?

Im pretty sure it’s 3

For a circle of radius 4 feet, find the arc lengeth, S subtened by a central angle of 26 degrees

Answers

Answer:

Exact answer = 26π/45 feet.

or we can write it as 1.815 feet to the nearest thousandth.

Step-by-step explanation:

The circumference of the circle = 2*4*π = 8π feet.

So the length of S = (26/360) * 8π

= 26π/45 feet.

Yesterday, there were 40 problems assigned for math homework. Adele did 10% of them correctly. How many problems did Adele get right?

Answers

Answer:

4

Step-by-step explanation:

10% in decimal form is .1

You would multiply 40 by .1 or 10%.

10% of 40 is 4.

helppp i need help on question 1) b and d
2) d and e ​

Answers

Question:-

1. b) Factorise ➾ y² - 20y + 100

1. d) Factorise ➾ 48 - 13p - p²

2. d) Factorise ➾ 18y² - y - 4

2. e) Factorise ➾ 4m² - 27m + 18

Solutions:-

1. b) y² - 20y + 100

⇝ y² - 10y - 10y + 100 ( Splitting middle term )

⇝ y ( y - 10 ) - 10 ( y - 10 )

⇝ ( y - 10 )(y - 10 ) Ans.

1. d) -p² - 13p + 48

⇝ -p² - 16p + 3p + 48 ( Splitting middle term )

⇝ -p ( p + 16 ) + 3 ( p + 16 )

⇝ ( p + 16 )(3 - p ) Ans.

2.d) 18y² - y - 4

⇝ 18y² - 9y + 8y - 4 ( Splitting middle term )

⇝ 9y ( 2y - 1 ) + 4 ( 2y - 1 )

⇝ ( 2y - 1 )( 9y + 4 ) Ans.

2.e) 4m² - 27m + 18

⇝ 4m² - 24m - 3m + 18 ( Splitting middle term)

⇝ 4m ( m - 6 ) - 3 ( m - 6 )

⇝ ( m - 6 )( 4m - 3 ) Ans.

HOPE IT CAN HELP U : )

3. Fill the blanks to make the equivalent ratios. :9 = 10: 45 a. b. : 3 = 3:9​

Answers

Answer:

:/

Step-by-step explanation:

an algebric expression that is true for all types of variable is called​

Answers

Answer:

An equation that is satisfied for every value of the variable for which both sides of the equation are defined is called an identity. Conditional equations are true for some values of the variable and false for others. Contradictions are false for all values of the variable.

Step-by-step explanation:

What is the area of this circle?

Answers

Answer:

Step-by-step explanation:

Area = πr^2 or πd

in this case, d = 4, so its 4π

How many solutions does |x+2|=0 have?

two solutions
one solution
no solution

Answers

Answer:

No solution

Step-by-step explanation:

15 EASY POINTS.............

Answers

Answer:

x³+7x²+14x+8

Step-by-step explanation:

distribute!

(x³+3x²+2x)+(4x²+12x+8)

add the similar values

x³+7x²+14x+8

Answer:

do math

Step-by-step explanation:

The sum of three numbers is 105. The third number is 2 times the first. The first number is 5 less than the second. What are the numbers?

Answers

Answer:

The second number = 30

The first number = 25

The third number = 50

Step-by-step explanation:

Let

The second number = x

The first number = x - 5

The third number = 2(x - 5)

Total = 105

105 = x + (x - 5) + 2(x - 5)

105 = x + x - 5 + 2x - 10

105 = 4x - 15

105 + 15 = 4x

120 = 4x

x = 120/4

x = 30

The second number = x

= 30

The first number = x - 5

= 30 - 5

= 25

The third number = 2(x - 5)

= 2(30 - 5)

= 2(25)

= 50

PLZ HELP ILL GIVE BRAINLIEST PLZZZ

Answers

Answer:

8/9

Explanation:

2/9 x 4/1 = 8/9

Please show the solving

Answers

Step-by-step explanation:

YELLOW TRIANGLE:

[tex] \sin(30) = \frac{x}{12} \\ x = 12 \sin(30) = 6[/tex]

PURPLE TRIANGLE:

Since one of the angle is 45°, x = BC = 6

To prove:

[tex] \tan(45) = \frac{bc}{x} \\ bc = x \tan(45) = 6 \tan(45) = 6[/tex]

PINK TRIANGLE:

[tex] \tan(60) = \frac{bc}{y} \\ y = \frac{bc}{ \tan(60) } \\ = \frac{6}{ \tan(60) } \\ = 2 \sqrt{3} [/tex]

n < -4
need answers fast math test to at 11:59 pm today but gotta get done faster than that.
plz. and thank you!!

Answers

-5 or under
Plz mark Brainliest

Answer:

N would equal anything lower than -4 for example, -5 or -6

Step-by-step explanation:

yw

a) Show that the equation x^3 + 6x - 5 = 0 has a solution between x = 0 and x = 1

Answers

Answer:

Since [tex]f(0) < f(x) < f(1)[/tex], there is a solution for [tex]f(x)[/tex] between [tex]x = 0[/tex] and [tex]x = 1[/tex].

Step-by-step explanation:

A solution of the polynomial is a root such that sign of dependent value changes, either from positive to negative or from negative to positive. Let [tex]f(x) = x^{3} + 6\cdot x - 5[/tex], [tex]x[/tex] is a solution of the equation if and only if [tex]f(x) = 0[/tex]. We proceed to evaluate the function at each bound:

x = 0

[tex]f(0) = 0^{3}+6\cdot (0) - 5[/tex]

[tex]f(0) = -5[/tex]

x = 1

[tex]f(1) = 1^{3}+6\cdot (1) - 5[/tex]

[tex]f(1) = 2[/tex]

Since [tex]f(0) < f(x) < f(1)[/tex], there is a solution for [tex]f(x)[/tex] between [tex]x = 0[/tex] and [tex]x = 1[/tex].

Why is x = 6 a solution to the proportion 192/36 = 32/x ?

Answers

Because if 192/36 = 5.3333 and 32/6 = 5.3333 then the solution is right

Answer:

It is a solution because when you divide 192 by 36 you get 5 and one third. When you divide 32 by 6 you also get 5 and one third. This means they are equal.

Step-by-step explanation:

If the angles are represented in degrees, find both angles:
cos(8x+18)=sin(−2x+36)

Answers

Answer:

24 and 66degrees

Step-by-step explanation:

Given the equation

cos(8x+18)=sin(−2x+36)

In trigonometry identity, cos theta = sin (90- theta)

The given expression becomes;

sin (90 - (8x+18)) = sin(−2x+36)

sin will cancel out to have;

90 - (8x+18) = (−2x+36)

90-8x-18 = -2x+36

-8x +72 = -2x+36

-8x + 2x = 36 - 72

-6x = -36

x = 36/6

x = 6

Hence the value of x is 6

cos(8x+18) = cos(8(6)+18)

= cos  66

Also

sin(−2x+36)

= sin(−2(6)+36)

= sin(−12+36)

= sin 24

Hence both angles are 24 and 66degrees

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