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IgorC [24]
3 years ago
8

Find the greatest power of 3 that is divisible of 100!

Mathematics
1 answer:
Vitek1552 [10]3 years ago
7 0

Answer:

There is no greatest power of 3 that is divisible of 100.

Step-by-step explanation:

Since any number can always be divisible of 100, there would be no greatest power of 3 that is divisible of 100 since the powers can go on and on forever without stopping, and all powers of 3 is able to be divided by 100.

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A closed box with a square base is to have a volume of 13 comma 500 cm cubed. The material for the top and bottom of the box cos
andrezito [222]

Answer:

x  =  1,5 cm

h  =  6  cm

C(min) = 135 $

Step-by-step explanation:

Volume of the box is :

V(b)  = 13,5 cm³

Aea of the top is equal to area of the base,

Let call  " x " side of the base then as it is square area is A₁ = x²

Sides areas are 4 each one equal to x * h  (where h is the high of the box)

And volume of the box is   13,5 cm³  = x²*h

Then   h  =  13,5/x²

Side area is :  A₂ =  x* 13,5/x²

A(b)  = A₁  + A₂

Total area of the box as functon of x is:

A(x)  = 2*x²  + 4* 13,5 / x

And finally cost of the box is

C(x)  = 10*2*x²   +  2.50*4*13.5/x

C(x)  = 20*x²  +  135/x

Taking derivatives on both sides of the equation:

C´(x)  =  40*x   -  135*/x²

C´(x)  = 0     ⇒      40*x   -  135*/x² = 0    ⇒  40*x³ = 135

x³  = 3.375

x  = 1,5 cm

And   h  =  13,5/x²     ⇒   h  =  13,5/ (1,5)²

h = 6 cm

C(min)  = 20*x²  + 135/x

C(min)  = 45  +  90

C(min)  = 135 $

8 0
3 years ago
I don’t understand this so can I get help
solniwko [45]

Answer:

Your image is cut off, can you provide a better one so I can try to answer it?

Step-by-step explanation:

7 0
3 years ago
What is the solution for the equation 14.8 equals n -0.3
vodomira [7]

Hello there!

14.8=n-0.3

Answer:

\boxed{n=15.1=15.0}

You can also round up to the nearest tenths is 15.1 to 15.0 and its going to be stay.

Step-by-step explanation:

First you had to switch sides of equation form.

n-0.3=14.8

Then you add by 0.3 from both sides of equation form.

n-0.3+0.3=14.8+0.3

And finally, simplify by equation. You can also cross out by -0.3+0.3 and it gave us equal to zero. Then you add 14.8+0.3 and it equal to 15.1. You had to used their variable and its should be the right answer.

n=15.1

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

6 0
3 years ago
Write and solve a proportion to answer the question.<br> What number a is 25% of 7/8?
alina1380 [7]

Answer:

7/32

Step-by-step explanation:

simplify

7/32 =o.218

7 0
3 years ago
What is the first term and explicit rule for the following geometric sequence? 3. 15,75,375, 1,875​
VARVARA [1.3K]

First term: 3

Exiplicit formula:

3/5*5^n or 3x5^n-1

Hope this helps!

7 0
3 years ago
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