1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Brrunno [24]
2 years ago
10

Prove that the value of the expression: (125^2+25^2)(5^2-1) is divisible by 39

Mathematics
2 answers:
slavikrds [6]2 years ago
7 0

Answer:

10000*39

Step-by-step explanation:

Simplify the equation fully.

(125 + 25)(5 - 1)

(15625 + 625)(25 - 1)

(16250)(24)

390000

Divide the answer by 39

390000/39 = 10000

babymother [125]2 years ago
3 0

Answer:

10000 * 39

Step-by-step explanation:

(125^2+25^2)(5^2-1)

Rewriting

(5^3^2+5^2^2)(5^2-1)

We know that a^b^c = a^ ( b*c)

(5^(3*2)+5^(2*2))(5^2-1)

(5^6+5^4)(5^2-1)

Factor out 5^4

5^4( 5^2 +1)(5^2-1)

5^4 ( 26) (24)

Factor

5^4 ( 13*2) (3*8)

Rearrange the order

5^4 ( 13*3) (2*8)

5^4 *39 *16

625 * 16 * 39

10000 * 39

You might be interested in
Some of the steps for completing the square to solve
Korvikt [17]

Answer:

option D and E just did it hope i help

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
144 cubic meters in inches.
nevsk [136]

Answer:

I think is 8.787e+6 cubic inches.

8 0
3 years ago
last year there were b pies baked for the bake sale. This year there were 194 pies baked. Using b write an expression for the to
muminat

Answer:

b+194=pies

Step-by-step explanation:

take the number of pies baked this year then add the b and then you get p(pies)

6 0
2 years ago
What is the fraction ten fourteenths in it simplest form?
nadya68 [22]
10/14 = 5/7.

5/7 is your answer. Divide both the numerator and the denominator by a number that they both have in common - 2.
3 0
3 years ago
Read 2 more answers
Maria want to make a footstool in the shape of a cylinder, as show below. She wants to fill the footstool with foam and cover it
dexar [7]

Answer:

She'll need 8143 cubic inches of foam and 1,809.6  square inches of fabric.

Step-by-step explanation:

Assuming you want to know how much foam and fabric she will need...

First the foam... so we need to determine the volume of that footstool.  The Volume of a cylinder is given by:

V = π * r² * h

So, we plug in the numbers:

V = π * 12² * 18 = π * 144 * 18

V = 2,592 π  = 8143 cubic inches.

Now for the fabric... we'll assume Maria wants to cover the side of the stool and the top, but not the bottom.

The side of the stool is basically a rectangle of width of 18 inches and a length of the circumference of the base of the stool.  The circumference is given by: C = 2 π * r of course, so C = 24π = 75.14 inches.

So the lateral surface of the cylinder is:

LS = 18 * 75.14 = 1,357.2 sq inches.

Then we need to calculate the area of the top... which is easy:

A = π * r²  = π * 12²  = 144 π = 452.4 sq inches

So, to cover the lateral side of the footstool and its top, she needs to use:

TA = 1,357.2 + 452.4 = 1,809.6 sq inches of fabric.

8 0
3 years ago
Other questions:
  • Find the volume of the composite figure. please!
    10·2 answers
  • Write a paragraph that has an inverted triangle shape. The topic sentence should be, “Trees are helpful.” Include at least three
    11·2 answers
  • Find the product and express your answer in scientific notation. (1.3 x 10-6)(4 x 1010)
    12·1 answer
  • What is the least common denominator of 5\6 and 3/8
    15·1 answer
  • Which function has a vertex at (2, –9)? f(x) = –(x – 3)2 f(x) = (x + 8)2 f(x) = (x – 5)(x + 1) f(x) = –(x – 1)(x – 5
    14·2 answers
  • Help please will give brainiest asap
    15·1 answer
  • Why did Sasuke have to kill Itachi though :(
    9·2 answers
  • I NEED HELP LIKE ASAP, IF UR CORRECT I'LL MARK U BRAINLIEST.
    15·1 answer
  • 7. After 8 months, Joellen has lost 75 pounds. This is a 30% decrease in her starting weight. Find
    12·1 answer
  • 2.2 Your friend Sam, mistakenly wrote down the multiples of 10 as: 1; 2; 5; and 10.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!