If ξ={1 , 2 , 3 , . . . , 8 , 9 , 10}
A={x : x is multiples of 3},
B={x : x is a prime numbers} and
C={x : x<6},
then what is (A⋃B)ʹ⋂C ?

Answer:

$53760

Step-by-step explanation:

Rui Feng borrows $48 000 from a bank that  charges simple interest at a rate of 6% per annum.

Now, we have to calculate the total amount he has to pay the bank at the end of 2 years.

Now, using the formula of simple interest the total amount after 2 years will be

dollars. (Answer)

Answer:

1 answer is 2

2 answer 4

3 answer 10

Step-by-step explanation:

Add 1+1

get 2

Add 2+2

get 4

Add 3+7

get 10

numerele care apartin si lui a si lui b sunt:

15

a/b={3,9,21,27}

b/a={5,25}

b)

in total sunt 15 numere impare pana la 30(cazuri posibile)

numai 7 numere apartin lui AUB(cazuri favorabile)

probabilitatea= cazuri favorabile/cazuri posibile

probabilitatea=7/15

crown?

Answer:

15hrs

Step-by-step explanation:

We can start by expressing the speed of the second trip as x. This means that the first trip must be x-1, and second (x-1)-1=x-2. Next we can form an equation with the information that the third day hike takes 30 min longer than second day hike. Since we now the distance of both days, we can express them in time. So... [tex]\frac{18}{x}+\frac{1}{2}=\frac{14}{x-2}[/tex] ... We can solve by finding a LCM of all three expressions. Doing so we get 2x(x-2). Now multiplying out with the new denominators, we get 36(x-2)+x(x-2)=28x. Solving as a quadratic equation, the solution comes out to be x=6, x=-12. But as speed can't be negative, only solution is x=6. Now we get the speed of each day's hike. First day=x-1=5, second day=6, third day =x-2=4. Finding the time is simple, just do distance/speed. First day=12.5/5=2.5hrs. Second day=18/6=3hrs. Third day=14/4=3.5hrs. Adding total hrs up... 2.5+3+3.5=9. Finally step is accounting for the 2hr digging time per day. 2hrs*3= 6hrs. 6hrs+9hrs=15hrs. Hope this helps!

Answer:

B A A

Step-by-step explanation:

Answer:

20:25

Step-by-step explanation:

add how many parts (4+5=9)

45/9=5

4*5=20, 5*5=25

therefore, 20:25

Question:

The diagram shows a right -angle and a parallelogram. The area of the parallelogram is 5 times the area of the triangle. The perpendicular height of the parallelogram is h.  Find h

Answer:

[tex]h =12cm[/tex]

Step-by-step explanation:

Given

Triangle

[tex]Base = 9cm[/tex]

[tex]Height = 16cm[/tex]

Parallelogram

[tex]Base = 30cm[/tex]

[tex]Height = h[/tex]

Calculate the area of the triangle

[tex]Area = 0.5 * Base * Height[/tex]

[tex]Area = 0.5 * 9cm * 16cm[/tex]

[tex]Area = 72cm^2[/tex]

When multiplied by 5, gives the area of the parallelogram.

So:

The area of Parallelogram is:

[tex]Area = Base * Height[/tex]

[tex]Area = 30cm * h[/tex]

This gives:

[tex]30cm * h = 72cm^2 * 5[/tex]

Make h the subject

[tex]h = \frac{72cm^2 * 5}{30cm}[/tex]

[tex]h = \frac{72cm^2}{6cm}[/tex]

[tex]h =12cm[/tex]

Answer:

b) 8y

Step-by-step explanation:

Product means multiplication so, 8y

a) incorrect

8 + y is addition

b) correct

8y is multiplication

c) incorrect

8 - y is subtraction

d) incorrect

8/y is division

Answer:

(0,10.2)

Step-by-step explanation:

Answer:

D,

Step-by-step explanation:

the volume of a sphere is 4/3πr^3

Answer:

Solution

−5+14

Step-by-step explanation:

Distribute

(4+3)−1(6−6)−1(3−5)

(4+3)−6+6−1(3−5)

Distribute

(4+3)−6+6−1(3−5)

(4+3)−6+6−3+5

(4c+3d) - (6c-6d) - (3c-5d) (4+3)−6+6−3+5

4+3−6+6−3+5

Combine like terms

4+3−6+6−3+5

−5+3+6+5

Combine like terms

−5+3+6+5

−5+14

Solution

−5+14

Answer:

hello

Step-by-step explanation:

but dear where is the picture?

Answer:

-2 -1,1, and 2 only

Step-by-step explanation:

Answer:

[tex] \sqrt[7]{ {x}^{2} } [/tex]

Step-by-step explanation:

can be rewrite as

[tex] \sqrt[n]{a} {2}[/tex]

so x

[tex] {x}^{2 \div 7} [/tex]

Answer:

Step-by-step explanation:

Fig 1

<f=180-2×30=180-60=120

<D and <E are base angle of isosceles triangle.

Fig 2

AB=AC=BC=8

All the side of equilateral are equal and all interior angle also equal.

Answer:

Step-by-step explanation:

a) ΔFED is isosceles triangle. EF = ED

∠F = ∠D =x   {Angles opposite to equal sides are equal}

∠F + ∠E + ∠D = 180  {Angle sum property }

x  +x + 30 = 180

  2x + 30  = 180

           2x = 180 -30

           2x = 150

             x = 150/2

             x = 75

∠F = 75

b) All the angles are equal. So, it is an equilateral triangle. In equilateral triangle all sides are equal.

So, AB = 8

Basically multiply the 32 mph with the 22 hours (since its per hour, the units carry over), and you get 704 miles!

answer is $30

looks like u cheating

Answer:

I believe it should be 5.882%

Step-by-step explanation:

This is how i got tought to do it

85-80=5

5/85=0.05882

0.05882 times 100=5.882%

and that's your answer hope you get it right.

Answer:

68°

Step-by-step explanation:

The sum of all internal angles of a circle always total 360°.

So, we can add the three angles (ADB, BDC, ADC) and equate them to 360°.

90 + (2x+1) + (2x-3) = 360

90 + 4x -2 = 360

4x - 2 = 360 - 90

4x - 2 = 270

4x = 272

x = 272/4

x = 68°

From here, you can find any of the two unknown angles by simply plugging in x = 68°.

Feel free to ask me if you didn't understand any part :D

Hope this helps!

Answer:

no

Step-by-step explanation:

4 quarts = 1 gallon, so he would have 1.5 gallons.

8 pints = 1 gallon, he would need 4 pints to have 2 gallons

Answer:

No he will not.

Step-by-step explanation:

6 quarts to a gallon is 1.5

3 pints to a gallon is 0.375

you add those together you get 1.875 not 2

Answer:

Step-by-step explanation:

(x / -5) + 7 ≥ 1

Step-by-step explanation:

to know whether it is geometric progression or not, you need to find the common ratio. to find the ratio divide the (n+1)th term by n th term

so, 12/-4 = -3

also, -36/12 = -3

here u see the ratio is always same, i.e., common ratio.

thus u can say it is a geometric series with common ratio -3

Answer:

5

Step-by-step explanation:

7-2=x

7-2=5

x=5

.........................

Answer:

D

Step-by-step explanation:

You have the correct answer.

Answer:

[tex]3x - 11[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex]

Required

Determine the quotient

First, we check if the divisor (x + 5) can divide the dividend (3x^2 + 4x + 5) without having a reminder

Equate the denominator to 0.

[tex]x + 5 = 0[/tex]

[tex]x = -5[/tex]

Substitute -5 for x in the numerator

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

[tex]3x^2 + 4x + 5 = 60[/tex]

This means that it has a reminder of 60

To get the quotient, we subtract 60 from the numerator and evaluate

[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex] becomes

[tex]\frac{3x^2 + 4x + 5 - 60}{x + 5}[/tex]

[tex]\frac{3x^2 + 4x - 55}{x + 5}[/tex]

Expand the numerator

[tex]\frac{3x^2 + 15x - 11x - 55}{x + 5}[/tex]

Factorize:

[tex]\frac{3x(x + 5) - 11(x + 5)}{x + 5}[/tex]

Factor out x + 5

[tex]\frac{(3x- 11)(x + 5)}{x + 5}[/tex]

Cancel out x + 5

[tex]3x - 11[/tex]

Hence, the quotient is [tex]3x - 11[/tex]

Given:

The figure of a quadrilateral ABCD.

To find:

The supplement of angle ABC.

Solution:

We know that, two angles are called supplementary angles if their sum is 180 degrees.

[tex]\angle ABC+\angle BAC=110^\circ+40^\circ[/tex]

[tex]\angle ABC+\angle BAC=150^\circ\neq 180^\circ[/tex]

So, [tex]\angle BAC[/tex] is not a supplement of [tex]\angle ABC[/tex].

[tex]\angle ABC+\angle ADC=110^\circ+90^\circ[/tex]

[tex]\angle ABC+\angle ADC=200^\circ[/tex]

So, [tex]\angle ADC[/tex] is not a supplement of [tex]\angle ABC[/tex].

[tex]\angle ABC+\angle DAB=110^\circ+(40+30)^\circ[/tex]

[tex]\angle ABC+\angle DAB=110^\circ+70^\circ[/tex]

[tex]\angle ABC+\angle DAB=180^\circ[/tex]

So, [tex]\angle DAB[/tex] is a supplement of [tex]\angle ABC[/tex].

In the same way [tex]\angle ABC+\angle BDC\neq 180^\circ[/tex].

So, [tex]\angle BDC[/tex] is not a supplement of [tex]\angle ABC[/tex].

Therefore, the correct option is C.