All categories

3 years ago

What is the base two representation of the number 129?

Mathematics

1 answer:

makkiz [27]3 years ago

4 0

Answer:

I think its C

You might be interested in

<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%2B%2016x%20%2B%2010%20%3D%200" id="TexFormula1" title=" {x}^{2} + 16x

Sergio039 [100]

Answer :-0.65 , -15.34

4 0

2 years ago

Solve the following<br> a) 2(x+3)= x-4<br> b) 4(5x-2)= 2(9x+3)

MatroZZZ [7]

Answer: A: x=-10 B: x=7 hope this helps!

8 0

3 years ago

What’s multiplies to get 18 but adds to get -15

Lana71 [14]

The answer for this question is threee

4 0

3 years ago

Read 2 more answers

What is the image of (−8,−8) after a dilation by a scale factor of 1/2 centered at the origin?

Romashka-Z-Leto [24]

Answer:

(-4,-4)

Step-by-step explanation:

Since this is centered at (0,0), we have to multiply the x and the y coordinates by the scale factor.

-8 × 1/2 = -4

7 0

3 years ago

A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

3 years ago