Prove that the value of the expression: (3^5 - 3^4)(3^3 + 3^2) is divisible by 24. Answer format: The value of the expression is 24 • __

Answer:

4.8%

if we assume that the first card is REPLACED (otherwise the formula gets complex)

[tex](\frac{4}{52} )(\frac{32}{52} ) = \frac{8}{169} = .048[/tex]

Step-by-step explanation:

13/52 is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

In a deck of 52 playing cards

We need to find the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9

n(S) =52

And the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9 is,

n(E) =13 a set of a diamond suit, because a diamond suit has {A, K ,Q ,J ,2,..,9}

Thus, the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9 is 13/52 or 1/4 .

Hence, 13/52 is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

ANSWER :

- ( x+ 2 ) + 4

-x - 2 + 4

-x + 2

Answer:

−x+2

Step-by-step explanation:

-(x+2)+4 Distribute the negative sign (-) outside of the parenthesis with x and 2 and that will turn into -x-2+4.

Add -2 and 4 and that will turn into -x+2.

Answer:

D

Step-by-step explanation:

if cosec is 13/5 then sin is 5/13

The top right quadrant is quadrant 1.

The top left quadrant is quadrant 2.

The bottom left quadrant is quadrant 3.

The bottom right quadrant is quadrant 4.

Therefore, point D is in the fourth quadrant.

Answer:

0.33

Step-by-step explanation:

An hour is 60 minutes. 20 goes into 60 three times, so it is 1/3 of an hour or 0.333333333333, etc. As a percent, 20 minutes is 33.33%. Converted to a decimal, it is 0.33 or 1/3 of an hour

Answer:

5/3*1/5= 1/3

Step-by-step explanation:

change the mixed fraction into improper fraction which is 1*3+2=5

then multiply

Answer: meh

Meh

Step-by-step explanation:

Given:

Volume of cubical tank = [tex]\dfrac{1000}{125}[/tex] cubic meters.

To find:

The length of a side of the water tank.

Solution:

The volume of a cubical tank is:

[tex]V=a^3[/tex]

Where, a is the side length.

It is given that the volume of cubical tank is [tex]\dfrac{1000}{125}[/tex] cubic meters. So,

[tex]a^3=\dfrac{1000}{125}[/tex]

[tex]a^3=\dfrac{(10)^3}{5^3}[/tex]

Taking cube root on both sides, we get

[tex]a=\dfrac{10}{5}[/tex]

[tex]a=2[/tex]

Therefore, the length of a side of the water tank is 2 meters.

Answer:

I think the answer is going to be A (15)(0.75) and 0.7(15 – x) + 0.9x, I hope this helps!! :)

Step-by-step explanation:

Answer:

Your answer is (0,4)

Step-by-step explanation:

Answer:

B. 23

Step-by-step explanation:

16, 19, 19, 22, 24, 33, 37, 46

Median = n/2

= 8/2

= 4//

(22 + 24)÷2 = 46 ÷ 2

= 23

Answer: The quotient of 28 and 4 minus the sum of a number and 7

Step-by-step explanation:

[tex]\displaystyle\bf 1) \ if\ y=152 \Longrightarrow x=30+152=182 \\\\2) \ if \ y =200 \Longrightarrow x=200+30=230\\\\3) \ if \ y=80 \Longrightarrow x=30+80=110\\\\4) \ if \ y=4 \Longrightarrow x=4+30=34 \\\\5)\ if \ y=8 \Longrightarrow x=30+8=38[/tex]

Answer:

x=14

y=24

Step-by-step explanation:

4y+42=8y-54

4y-8y=54-42

-4y/4=96/-4

y=24

solving for x

5x-28=7x-56

5x-7x=-56+28

-2x/-2=-28/-2

x=14

Answer:

C

Step-by-step explanation:

The vertex is the point where the 2 lines meet on the V shape

The vertex is at (3, 2 ) → C

Answer:

Option c is the answer I think so if the answer is correct plz mark me as brainliest

Answer:

Pink, shiny cars were preferred by buyers at that time

Step-by-step explanation:

Rewriting the sentence, removing unnecessary words

Answer:

C

Step-by-step explanation:

1,2 are both supplementary

Answer:

x=60

Step-by-step explanation:

First, you subtract 10 from both sides. Your final answer is 60.

Answer:

15 hour(s) and 30 minute(s).

Step-by-step explanation:

Answer:

krkrkrl4k3?8999kekek

Step-by-step explanation:

the UK. I have been a while. I have been a while. I have been a while. I have been a while 6e5 the UK. I have been a while. I have been a while. I have

. How do we have a look at the moment. The comments for the first time in the UK. I

Answer:

Step-by-step explanation:

This is a right triangle trig problem. Picture a right triangle. The height of the triangle is the height of the lighthouse, your distance from the base of the lighthouse is what we are solving for, and the reference angle is 2 degrees, which is the angle of inclination from where you stand to the top of this lighthouse. We have the reference angle, the side opposite the reference angle, and we are looking for the side adjacent to the reference angle. This is the tangent ratio: the side opposite the reference angle over the side adjacent to the reference angle. We know the measure of the reference angle and we know the value of the side opposite the reference angle. Filling in:

[tex]tan(2)=\frac{200}{x}[/tex] and

[tex]x=\frac{200}{tan(2)}[/tex] so

x = 5727.25 feet, the third choice down

Answer:

[tex]tan2=200/x[/tex] [tex]x=200/tan2[/tex]

[tex]x=5,727.25[/tex]

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

hope it helps..

have a great day!!

Answer:

4 , 4 , 5 , 6 , 11

Step-by-step explanation:

Mode = 4

So at least two times 4 should be there in the data.

And median is 5. So the middle term ( 3rd term} should 5.

Let x and y be the 4th term and 5th term

Data set:

4 , 4 , 5 , x , y

Mean =6

[tex]\frac{4+4+5+x+y}{5}=6\\[/tex]

4+4+5 +x + y = 6*5

13 + x + y = 30

     x + y = 30 - 13

     x + y = 17

x ,y can be any numbers that sum up to 17.

x , y  can be  10 , 7   or  6, 11

Data set: 4 , 4 , 5 , 6, 11

Answer: 2 and 4 lb

Step-by-step explanation:

Given

There are twice as many cashews as almonds in the can

Cashews costs [tex]\$4.25\ lb[/tex]

Almonds costs [tex]\$3.80\ lb[/tex]

Can costs $24.60

Suppose there are x lb almonds, so there is 2x lb cashews

[tex]\Rightarrow (2x)4.25+x\cdot 3.80=24.60\\\Rightarrow 8.5x+3.8x=24.60\\\Rightarrow 12.3x=24.60\\\Rightarrow x=2\ lb[/tex]

Amount of cashews =4 lb

Amount of almonds =2 lb

Answer:

£8520

43000-11000=32000

20/100×32000

£6400

48300-43000=5300

40/100×5300=2120

£8520

Answer:

x = 6

Step-by-step explanation:

5 (x - 3) + 2 = 5 (2x - 8) - 3

remove the parenteses

5x - 15 + 2 = 10x - 40 - 3

5x - 13 = 10x - 43

5x - 10x = -43 + 13

-5x = -30

Solution

x = 6

Answer:

4x + 11 = k

<=> 4x = k - 11

<=>

[tex]x = \frac{k - 11}{4} [/tex]

Answer:

Step-by-step explanation:

[tex]Quotient \ of \ 10 \ and \ x = 10 \div x[/tex]

Answer:

C.) AA

Step-by-step explanation:

AA is a similarity theorem

hope this helps stay safe :)

Answer:

The answer would be C.

Step-by-step explanation: Hope this helps :)

Answer:

4.15, or 1.32pi

Step-by-step explanation:

arclength is circumference(34/360)

so pi x d (34/360)

3.14 x 14 x (34/360) = 4.15, or 1.32pi

The arc length PR is 4.151 cm.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Moreover, every angle has rotational symmetry around the centre.A section of a line that runs from a circle's centre to any point on the circle itself. "R" or "r" stand for the circle's radius.

As per the given data:

The diameter of circle Q = 14 cm

From the given diagram:

∠PQR = 34°

For finding out the arc length PR:

arc length = angle in radian × radius

radius = diameter / 2 = 14 / 2 = 7 cm

angle in radian = 34° × (π / 180°) = 0.593 radians

arc length PR = 0.593 × 7 = 4.151 cm

Hence, the arc length PR is 4.151 cm.

To learn more about circle, click:

brainly.com/question/29142813

#SPJ3