(125^2 +25^2) (5^2-1) is divisible by 3

(125^2 +25^2) (5^2-1) Is Divisible By 3

Answers

Answer 1

Answer:

See Below.

Step-by-step explanation:

We want to prove that the expression:

[tex](125^2+25^2)(5^2-1)[/tex]

Is divisible by three.

We can simplify the second factor:

[tex]=(125^2+25^2)(25-1)\\\\ = (125^2+25^2)(24) \\\\ = (125^2+25^2)(8\cdot 3)[/tex]

Since the second factor is being multiplied by three, we can conclude that the entire expression is divisible by three.

Answer 2

Answer:

It is divisible by 3.

Step-by-step explanation:

(125² + 25²)(5² - 1) ÷ 3

(15625 + 625)(25 - 1) ÷ 3

(16250)(24) ÷ 3

390000 ÷ 3

130000


Related Questions

Help help pls pls help help

Answers

Multiply the top equation and the bottom by 7.

Answer:

The answer is D: Multiply the top equation by 3 and the bottom equation by 4

Step-by-step explanation:

when you do that, the coefficients for the x on the top and bottom equations both become 12, so you would have to subtract the 2 equations to get rid of x.

Consider the graph of the function f(x) =
= 10^x


What is the y-intercept of function gif g(x)
=4f(x) + 12

Answers

Answer:

(0,8)

Step-by-step explanation:

Let X be 0 and solve for Y to get the intercept

y= - 4([tex]10^{x}[/tex]) + 12

y= - 4 * [tex]10x^{0}[/tex] + 12

y= - 4 * 1 + 12

y= - 4 + 12

y=8

when x=0, y=8

(0,8) is y intercept

The y-intercept of the given function is (0,8).

We have given that,

The graph of the function f(x) = 10^x

The y-intercept of function gif g(x)=4f(x) + 12

What is the intercept?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Let X be 0 and solve for Y to get the intercept

[tex]y= - 4(10^x) + 12[/tex]

[tex]y= - 4 (10^0) + 12[/tex]

[tex]y= - 4 * 1 + 12[/tex]

[tex]y= - 4 + 12[/tex]

[tex]y=8[/tex]

when x=0, y=8

The y-intercept of the given function is (0,8).

To learn more about the intercept visit:

https://brainly.com/question/1884491

#SPJ5

PLEASE HELP!!!

Write the factored form of the least common denominator needed to simplify this expression

Answers

Yea I’m not really sure I need help on that too

Answer:

(g+5)x(g-3)

Step-by-step explanation:

Let t=4 and u=6+2i. Find t+u.

Answers

The answer for the following question is 12i.

Answer:

t + u = 10 + 2i

Step-by-step explanation:

t + u

= 4 + 6 + 2i ← collect like terms

= 10 + 2i

Adele, Dennis, and Marie are siblings. The sum of their ages is 29. Marie is the eldest, and Adele is the youngest. None of the siblings are older than 16 or younger than 6. No two are the same age. List all the combinations of ages they could be in the organized list below. What is the probability that Marie is 12 years of age?

Answers

Answer:

also, Marie = 1/2

let A=(1,2,3,4,5)which of the following sets are equal to A?
1.=(4,1,2,3,5)
2.=(1,2,3,4,5,6)
3.(x:x is interger & xsquare ≤ 25)
4.(x:x is a positive integer and x ≤5)
5.(x:x is a whole number and ≤ 5)

Answers

Answer:

1. (4,1,2,3,5)

Step-by-step explanation:

Since all the members of set A are present in "1"

I don't understand help plz​

Answers

It’s a and b are the correct answer
A and b are the correct answers

4.2 To buy a new car is not a very good investment. In the first year the car will
decrease in value by 25%.
4.2.1
If the car costs R200 000, what will it be worth after 1 year?

Answers

Given:

In the first year, the car will decrease in value by 25%.

The cost of a car is Rs. 200,000.

To find:

The worth of the car after 1 year.

Solution:

The cost of a car is Rs. 200,000 and in the first year the car will decrease in value by 25%. So, the worth of the car after 1 year is:

[tex]Worth=200000-\dfrac{25}{100}\times 200000[/tex]

[tex]Worth=200000-\dfrac{1}{4}\times 200000[/tex]

[tex]Worth=200000-50000[/tex]

[tex]Worth=150000[/tex]

Therefore, the worth of the car after 1 year is Rs. 150,000.

y(0.5 + 4)
PLEASE HELP!!

Answers

Answer: 8

Step-by-step explanation:

Answer:

4.5y

Step-by-step explanation:

0.5y + 4y

4.5y

Three Bell ringing constituency in intervals of 30,36 and 45 minutes respectively. At what time will they ring together again if they ring simultaneously at 8:00 a.M.​

Answers

Answer:

The bells will ring simultaneously at 11.00 a.m

Step-by-step explanation:

Firstly, what we have to do here is to get the lowest common multiple the three numbers

The numbers are the given minutes

These are 30,36 and 45 minutes

The lowest common multiple of these three is 180 minutes

Now, we convert this to hours

60 minutes = 1 hour

180 minutes = x hours

x * 60 = 180 * 1

x = 180/60

x = 3 hours

If we added this to 8 am, we have 8 + 3 = 11 a.m

distributive law to simplify 15x13 + 15x17

Answers

Answer:

420 is the answer

hope it helps

Step-by-step explanation:

plz mark me brainleast

What is a name for the marked angle?
Chose 1 answer

Answers

<EAD (2nd option)

The angle (going clockwise) goes from the line with point E on, to point A, to the line with point D on.

Not a fan of how they're naming the angles (seems messy to me) but yeah it's the 2nd one

Someone please help me with this :/

5.Express the number 0.307 x 10-Bin
scientific notation,
A
3.07 x 10-9
B
3.07 x 10-6
3.07 x 10-1
3.07 x 10-8

Answers

Answer:

A

Step-by-step explanation:

Write the nunber in scientific notation which we need to add -1 to 10 power to made it 3.07.

On a map of a town a school is located (-6, 3) and a movie theater is located (-6, -15) what is the distance from the school to the theater

Answers

Answer:The distance from the school to the theater = 18 units

Step-by-step explanation:

Distance between (a,b) and (c,d) = [tex]\sqrt{(d-b)^2+(c-a)^2}[/tex] units.

Given: On a map of a town a school is located (-6, 3) and a movie theater is located (-6, -15).

So, distance between (-6, 3) and(-6, -15) = [tex]\sqrt{(-6-(-6))^2+(-15-3)^2}[/tex]

[tex]=\sqrt{0^2+(-18)^2}\\\\=\sqrt{18^2}\\\\=18\ units[/tex]

Hence, the distance from the school to the theater = 18 units

Convert 3.5 ⋅ 104 to standard form.

Answers

Answer:

In standard notation [tex]3.5 \times 10^4 = 35000[/tex]

In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of 10.

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

If it was 3.5 x 104 it would equal 350.

Evaluate f(3)

A. 18
B. 12
C. 4
D. 21

Answers

C


Thanks me later, pa brainliest po ako....

Answer:

the answer is c you will thank us later

sara is painting her house. to paint the second floor, she needs to lean her 15 foot ladder against her house to reach a point that is 11 feet above the ground

A) What is the angle of elevation that Sara's ladder will form with the ground?
B) How far from the base of the house should Sarah place the base of her ladder?

Answers

For A)

arcsin(11/15)=angle of elevation

47.17=angle of elevation

For B)

tan(47.17)=11/x

11/tan(47.17)=x

10.2=x

pls help me..... the question is in the attachment.... thank you


Answers

Answer:

I added some attachments as well, I hoped I helped.

A fitness club offers two membership plans.
Plan A: $30 per month
Plan B: $18 per month plus $2 for visit for each visit to the club

a) graph the linear system. When would the cost of the two membership plans be the same

B) describe a situation under which you would
Choose each plan


Help please

Answers

A i think hope this help

Put these numbers in order from greatest to least.

3/7,1/6,5/6, and 0.14

Answers

5/3, 3/7, 1/6, 0.14

Help me with this question too

Answers

Answer:

The one on the right

Step-by-step explanation:

Because it is 4 then 3

Answer:

the second one (the one to the right)

Step-by-step explanation:

URGENT!!
Choose the steepest line.
y = -2x + 10
y = 5x - 20
y = 10x + 1
y = -12x - 3

Answers

Answer:

y=-12x-x

Step-by-step explanation:

y=mx + b

m=slope

m = -12

slope = rise / run -12/1

Can You help me with this problem I’m stuck

Answers

Answer:

Last option,

i.e - 30 miles/1hour

is correct (☑️)

Estimate each of the following using general rule:
a) 4345 + 6784
b) 6947 x 378

Answers

Answer:

a) 11,129

b) 2,625,966

I think that the answer

You throw a stone with a force of 55.1 N. It accelerates at 41.6 m/s2.
Find the mass of the stone in kg. Round your answer to 1 decimal place.

Answers

Answer:

Mass = 1.3 Kilograms.

Step-by-step explanation:

Given the following data;

Force = 55.1 N

Acceleration = 41.6 m/s²

To find the mass of the stone in kg;

Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.

Mathematically, it is given by the formula;

Force = mass * acceleration

Substituting into the formula, we have;

55.1 = mass * 41.6

[tex] Mass = \frac {55.1}{41.6} [/tex]

Mass = 1.3 Kilograms

ABC is a triangle. AC = 9 cm, BC = 7 cm and angle BAC = 30°
Calculate the size of angle ABC.

Answers

9514 1404 393

Answer:

  ∠B = 40°  or  140°

Step-by-step explanation:

The given angle is opposite the shortest of the given sides, so there are two possible solutions.

From the law of sines, ...

  B = arcsin(b/a·sin(A)) = arcsin(9/7·sin(30°)) = arcsin(9/14)

Possible values for angle B are ...

  B = arcsin(9/14) ≈ 40.0°

  B = 180° -arcsin(9/14) ≈ 140.0°

4x-5y+2x+4+6+9y+7x+2​

Answers

Answer:

[tex]13x+4y+12[/tex]

Step-by-step explanation:

Combine all the like terms & then solve:

[tex](4x+2x+7x)+(-5y+9y)+(4+6+2)[/tex]

[tex]13x+4y+12[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 13x + 4y + 12}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]4x - 5y + 2x + 4 + 6 + 9y +7 x + 2[/tex]

Combining like terms, we have

= [tex] \:( 4x + 2x + 7x ) + (9y- 5y )+ (4 + 6 + 2)[/tex]

= [tex] \: 13x + 4y + 12[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

. If you subtract ½ from a number and multiply the result by ½, you get 1/8 what is the number?
pls answer in detail ​

Answers

Answer:

0.75

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Use x for the equation: (x - 1/2)*1/2 = 1/8

Just go backwards

1/8 is the result, and to get it, you multiply by 1/2, so instead of that, you divide 1/8 by 1/2 instead (Dividing a number by a fraction is the same as multiplying it by its reciprocal. The reciprocal of 1/2 is 2): (1/8)/(1/2) = 1/8 * 2 = 2/8 = 1/4, now since we subtracted 1/2, we add instead: 1/4 + 1/2 = 1/4 + 2/4 = 3/4

pls help due in 10 mins

Answers

Answer:

Area = 97.4 cm²

Step-by-step explanation:

a = 15 cm

        [tex]Area = \frac{ \sqrt 3}{4} a^2\\[/tex]

                 [tex]=\frac{\sqrt 3}{ 4 } \times 15^2\\\\=\frac{\sqrt 3}{ 4 } \times 225\\\\= 97.4 \ cm^2[/tex]

a square garden has an area of 6400 square find its perimeter​

Answers

Answer:

80

Step-by-step explanation:

Area of a square is LxL where L is the length of the side

so 6400 = LxL

L = 80

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