Prove that the value of the expression
(3^5-3^4)(3^3+3^2) is divisible by 24

Prove That The Value Of The Expression(3^5-3^4)(3^3+3^2) Is Divisible By 24

Answers

Answer 1

Answer:

243

Step-by-step explanation:

(3^5 – 3^4) (3^3 + 3^2)

= (243 – 81) (27 + 9)

= (162) (36)

= 5832

24 = 8*3

because 832 can be divided by 8 and 5+8+3+2 = 18 is divisible by 3,

5832 is divisible by 24


Related Questions

eric sells donuts for $7 per dozen. which equation can be used to determine the total cost, t, for x dozen of donuts?

Answers

Answer:

7 times x = t

Step-by-step explanation:

if your buying 3 dozen of donuts, the total cost would be by doing 7x3

Solution:

It should be noted:

Given sentence: Eric sells donuts for $7 per dozen.

Let's reread the sentence carefully.

Eric sells donuts for $7    per dozen.

                                   ↥           ↥

                                  $7     1 dozen

The equation created: $7 = 1 dozen

If x dozen doughnuts were sold, equation: $7x = t = x dozen

Thus, the equation that can determine the total cost, t, for x dozen of donuts is $7x = t.

please help with this question find the outlier!!

Answers

Answer:

the outlier would be 36 oz

Step-by-step explanation:

the rest of the points on the box plot are clustered together while 36 is far away from the nearest point (39)

hope this helps :)

.48 divided 9.28 round to the nearest tenth

Answers

Answer=5.2

You get a long decimal (5.17241379) but to the nearest tenth it’s 5.2
It would be 10 as 48 divided by 9.28 is 5.1724 and if you round that to the nearest 10th it would be 10!!

Subtract: (4x5 + 8x5 + 3x) from (3x2 + 6x2 + 9x)

Answers

Answer:

[tex]12x^5-9x^2-6x[/tex]

Step-by-step explanation:

[tex]\left(4x^5+8x^5+3x\right)-\left(3x^2+6x^2+9x\right)[/tex]

[tex]4x^5+8x^5+3x-\left(3x^2+6x^2+9x\right)[/tex]

[tex](4x^5+8x^5):12x^5[/tex] ( Combine like terms)

[tex]12x^5+3x-\left(3x^2+6x^2+9x\right)[/tex] (Apply the distributive law)

[tex]12x^5+3x-9x^2-9x[/tex]

[tex](3x-9x):-6x[/tex]  ( Combine like terms)

[tex]12x^5-9x^2-6x[/tex]

~

Answer:

[tex]\sf 9x^2 - 12x^5 +6x[/tex]

solving steps:

[tex]\hookrightarrow \sf (3x^2 + 6x^2 + 9x )- (4x^5 + 8x^5 + 3x)[/tex]

remove parenthesis

[tex]\hookrightarrow \sf 3x^2 + 6x^2 + 9x - 4x^5 - 8x^5 - 3x[/tex]

group variables

[tex]\hookrightarrow \sf 3x^2 + 6x^2 - 4x^5 - 8x^5 - 3x+ 9x[/tex]

simplify

[tex]\hookrightarrow \sf 9x^2 - 12x^5 +6x[/tex]

A cube has an edge length of 3 inches.

a) Find the surface area and volume of the cube.

b) The cube is dilated by a scale factor of 0.5.
Find the surface area and volume of the image.

PLEASE HELP THIS IS DUE TOMORROW!!!

Answers

Answer:

Question (a)

Surface area of a cube = [tex]6x^2[/tex]   (where [tex]x[/tex] is an edge length)

⇒ surface area = 6 × 3²

                         = 6 × 3 × 3

                         = 6 × 9

                         = 54 in²

Volume of a cube = [tex]x^3[/tex]   (where [tex]x[/tex] is an edge length)

⇒ volume = 3³

                 = 3 × 3 × 3

                 = 27 in³

Question (b)

To find the area of a dilated figure, simply multiply the original area by the scale factor squared:

Surface area = [tex]6x^2[/tex] × sf²  

                      = 54 × 0.5²

                      = 13.5 in²

To find the volume of a dilated figure, simply multiply the original volume by the scale factor cubed:

Surface area = [tex]x^3[/tex] × sf³

                      = 27 × 0.5³

                      = 3.375 in³

In a certain card game, for every 4 blue cards, there are 3 yellow cards. There are a total of 84 blue and yellow cards in the game.
How many blue cards are in the game?

Answers

Answer:

63 yellow cards

Step-by-step explanation:

84 divided by 4 is 21, and 21 times 3 is 63.

HELPPPPP I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER (see attachment)

Answers

Step-by-step explanation:

(b) since a negative number added to a positive one it will be positive

Answer:

2x² + 5x - 12

steps:

→ (x+4)(2x-3)

By distributive method:

→ (x)(2x) +4(2x) +x(-3) +4(-3)

simplifying:

→ 2x² + 8x - 3x - 12

final answer:

→ 2x² + 5x - 12

Kristen is paid $8.25 per hour. how much would her paycheck be for 39 hours? show your work.

Answers

Answer:

$321.71

Step-by-step explanation:

To do this problem, we have to multiply 8.25 by 39 because Kristen gets paid $8.25 per hour, and she worked for 39 hours. Here is my work below:

[tex]8.25 X 39=321.71[/tex]

So, Kristen gets paid $321.71 for working 39 hours.

Hope this helps! :)

Have a blessed day! :)

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

In a class of c children,1/4 are boys. What fraction are girls?

Answers

Answer : 3/4 of the children in the class are girls

Answer:

3/4

Step-by-step explanation:

Given:

⇒ 1/4 are boys

To Solve/Find:

⇒ What fraction are girls

Solve:

well, We know that 4/4 = 1 Whole

Thus, We have to Subtract to find what fraction are girls

→ 4/4 - 1/4 = 3/4          

Hence, We can conclude that 3/4 are girls

~Learn with Lenvy~

Daina gives 2/3 of his money to Carol. Carol gives 6/7 of this money to Zak.
What fraction of Daina's money does Zak get?

Answers

Answer: I think he gets 1/2 of something

Step-by-step explanation:

is y=10x^2 a linear equation

Answers

No, it is an exponential equation. It has an exponent.

What is the circumference of 7 in?

Answers

Answer:

If Its 7 in diameter than the answer is 21.98 if it is radius than it is 153.86

Step-by-step explanation:

Answer:

Solution:

Radius of a circle = 7 in

We know that

Circumference of a circle = 2πrSubstituting the values

= 2 × π × 7

= 14π

= 43.9823 ≈ 43.98 in

Therefore, the circumference of a circle is 43.98 in.

Select the correct solutions for the system of equations:
10x + y = -20
y = 2x^2 - 4x - 1

[] (-2, 0)
[] (-1, 0)
[] (0, -2)
[] (0, -1)
[] (-2, 10)
[] (-1, -10)
[] (10, -1)
[] (10, -2)

Answers

Answer:

The answer are

(-2,0)

(-1,-10)

(0,-1)

Step-by-step explanation:

I believe these are all the right answers

Hope this helps and mark brainliest please :)

One week, Daniel earned $554. 30 at his job when he worked for 23 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $939. 90?

Answers

Answer:39 hours

Step-by-step explanation:First, let's find the rate of money per hour:$554.30 / 23 hour= $24.1 / 1 hourDaniel earns $24.10 every hour he works.To find the hours that Daniel has to work to earn $939.90, divide it by 24.10:$939.90 / 24.10= 39Now, we can check:$24.10 * 39= $939.90

Analyze: What is the the number of periods of the following atoms

Answers

Answer:

2; 3; 4.

Step-by-step explanation:

Li - 2 (two circles); Na - 3 (three circles); K - 4 (four circles).

The height of a rocket t seconds after launch is modeled by the function: f(t)=-16t^2+72t.

What is the maximum height of the rocket in feet?

Answers

Step-by-step explanation:

the extreme values of a function happen at the zeros of the first derivation of that function.

f(t) = -16t² + 72t

f'(t) = -2×16t + 72 = -32t + 72

0 = -32t + 72

32t = 72

t = 72/32 = 2.25 seconds

f(2.25) = -16(2.25)² + 72×2.25 = -16×5.0625 + 72×2.25 =

= -81 + 162 = 81 ft

so, the rocket reaches its maximum height of 81 ft after 2.25 seconds of flight.

Solve for x to the nearest tenth.

Answers

Answer: the answer to your question is 8.0

Step-by-step explanation:

Sin theta = opposite /hypotenuse sin 53 = x/10

Multiply each side by 10

10 sin 53 = x

7.9863551

To the nearest tenth

x = 8.0

Which expression is equivalent to 5/6−1/4+(−2/3)

Answers

Answer:

the last one

Step-by-step explanation:

Which type of local wind is shown below and what causes this type of wind?



Question 23 options:

At night, cooler air over land replaces rising warmer air over water causing a land breeze.


At night cooler air over water replaces rising warmer air over land causing a land breeze.


During the day, cooler air over land forces warmer air over water to rise causing a sea breeze.

Answers

Answer:

A

Step-by-step explanation:

because me smart

I need to do this it due tommorow

Answers

Answer:

14

Step-by-step explanation:

when you add all the numbers together you get 14, also where you put the line you can see that the line is a 3 and 5 minus 2 is 3. The next corner next to the 3 is 1 cm because if you look at the horizontal 2 it matches up with the horizontal 1 and 2 minus 1 is 1.

Bella and Justin went to the bank to open new checking accounts. The equation C=0.1n+1.50 represents the monthly cost, C, in dollars, where n is the number of checks written by Bella. In Justin’s account, the monthly cost is proportional to the number of checks written. The monthly cost for Justin’s account is $1.20 for writing 3 checks. How many checks must Bella and Justin write, if any, so that the cost of the accounts is the same for one month? What is the cost, if any?



If Bella and Justin write
checks, it will cost them both $
for one month.

Answers

The cost would be the same for Justin and Bella if 500 checks are sold, costing about $200.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation for Bella:

c = 0.1n + 150

Where C is the monthly cost for n checks.

For Justin:

1.2 = 3k

k = 0.4

C = 0.4n

To have the same cost:

0.1n + 150 = 0.4n

n = 500

c = 0.4(500) = 200

The cost would be the same for Justin and Bella if 500 checks are sold, costing about $200.

Find out more on equation at: https://brainly.com/question/2972832

Which of the following are among the basic postulates of Euclidean Geometry?
A) Any straight line segment can be extended indefinitely.
B) All right triangles are equal.
C) A straight line segment can be drawn between any two points.
D) All right angles are equal.

Answers

The answer would be C

Any straight line segment can be extended indefinitely and straight line segment can be drawn between any two points can apply. Therefore, options A and D are the correct answers.

What is Euclidean geometry?

"Euclidean geometry is the study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Euclid"

As per the five basic postulates of Euclidean geometry

A straight line can be drawn from any point to another point.

A terminated line can be further produced indefinitely.

A circle can be drawn with any Centre and any radius.

All right angles are equal to one another.

If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles , then the two lines inevitably must intersect each other on that side if extended far enough.

Therefore, options A and D are the correct answers.

To learn more about Euclidean Geometry here:

brainly.com/question/7954280

#SPJ7

How do i solve this.

Answers

Let us set up some variables:

L: LengthW: Width

Now let us set up some equations based on the facts:

length of rectangle is 4 times its width --> L = 4Wperimeter of rectangle is 80 --> 2L + 2W = 80

Equations:

   L = 4W     -- equation 1

   2L + 2W = 80 -- equation 2

   Plug the value of L from equation 1 into equation 2

    2(4W) + 2W = 80

     8W + 2W = 80

        10W = 80

           W = 8 -- equation 3

   

   Plug the value of W from equation 3 into equation 1:

    L = 4W = 4 * 8 = 32

Therefore the length is 32 and the width is 8.

Hope that helps!

     

   

expand and simplify x(x-4)(x-1)

Answers

Answer:

Step-by-step explanation:

x(x-4)= x^2-4x

x^2-4x(x-1)

x^3-5x^2+4x

HELP PLEASE HELP HELP
f(x) = 1 / x + 2 - 4

(-1.5 , ___)
(-1 , ___)
0, ___)
(-3, ___)
(-2.5, ___)
(-4 , ___)​

Answers

I think it’s 0but not s

Which shapes have 4 sides and 4 vertices?

Answers

Answer:

A quadrilateral has 4 sides, 4 angles and 4 vertices.

what is the expanded form of 648.297? ​

Answers

Answer:

600 + 40 + 8 + .2 + .09 + .007 = 648.297

Which line is a line of symmetry for the figure below?


A.
Line A
B.
Line C
C.
Line B
D.
Line D

Answers

Answer:A

Step-by-step explanation:

Because as you look around we notice line A. We can see that when we look at it there is symmetric. The line divide both of the parts equal

HELPPPPPOOOPP PLEASEEE

Answers

Answer:

122

Step-by-step explanation:

Rectangle: 6*15=90

Inner Trapezoid: 6*4=24

Triangles: 4*2=8/2=4*2=8

SOMEONE PLSS HELP WITH MY ZEARN ITS 5TH GRADE MATH BTW! can be decimal or mixed number!!

Answers

Answer:

[tex]64 \frac{1 3}{21} ft {}^{2} [/tex]

Step-by-step explanation:

Area of the garden:

[tex](8 \frac{3}{7} \times 7 \frac{2}{3} )ft {}^{2} \\ \\ ( \frac{59}{7} \times \frac{23}{ 3} )ft {}^{2} \\ \\ = \frac{1357}{21} ft {}^{2} \\ \\ = 64 \frac{13}{21} ft {}^{2} \: (ans)[/tex]

the width of the garden is 8 3/7 and the length is 7 2/3.

to find the area you multiply the length by the width.

so 8 3/7 * 7 2/3

you just multiply both. so you get 64 13/21 or 64.619
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