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3 years ago

Which is a rational number

1 answer:

3 0

Answer: Square root of 16

$\sqrt{16} = \pm4$

*The rest of the numbers listed there are non-terminating, therefore irrational numbers.

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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

Circle O is shown. Tangents B C and B A intersect at point B outside of the circle. The measure of the first arc formed is 146 d

viktelen [127]

146*3 will give u ur answer

5 0

3 years ago

Read 2 more answers

which table represents viable solutions for y=5x, where x is the number of tickets sold for the school play a y is the amount of

STALIN [3.7K]

Given:

The given equation is:

$y=5x$

Where x is the number of tickets sold for the school play a y is the amount of money collected for the tickets.

To find:

The correct table of values from the given options.

Solution:

We know that the number of tickets and amount of money collected for the tickets cannot be negative. So, options A and B are incorrect.

We have,

$y=5x$

For $x=0$ ,

$y=5(0)$

$y=0$

For $x=10$ ,

$y=5(10)$

$y=50$

For $x=51$ ,

$y=5(51)$

$y=255$

For $x=400$ ,

$y=5(400)$

$y=2000$

In option C, all the ordered pairs (0,0), (10,50), (51,255), (400,2000) are in the table. So, option C is correct.

For $x=65$

$y=5(65)$

$y=325$

Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.

Hence, the correct option is C.

8 0

3 years ago

In which part of the graph is the distance from home constant?

Contact [7]

Answer:

I chose B. 3

Step-by-step explanation:

I chose B because the person is either staying still, not moving, or something of the sort.

8 0

2 years ago

Need help asap!!!!!!!!!

tatuchka [14]

Answer:

Step-by-step explanation:

In general, a geometric sequence is given by:

In the sequence 20, - 40 , 80,…

First term, a1 = 20

Common ratio, r = - 40 ÷ 20 = - 2

The nth term is = 9th

Sum of finite geometric series : Sn= ( a1 - a1r^n ) / ( 1 - r)

S9 = ( 20 - 20 x (- 2)^9 ) / ( 1 - ( - 2) )

S9 = ( 20 - 20 x - 512 ) / ( 1 + 2 )

S9 = ( 20 - 10240<em> </em>) / ( 3 )

S9 = ( - 10220 ) / 3

<h3>S9 = - 3400 <u>Answer</u> </h3><h2>Hope it's help you.... ^_^❤️</h2>

5 0

2 years ago

Read 2 more answers