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Fed [463]
3 years ago
6

A library shelf has 3 3 types of books

Mathematics
1 answer:
AfilCa [17]3 years ago
6 0

Answer:

that library has only 3 books? it needs to open a book raising fund

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I"M SO DONE WITH BOTS SOMEBODY PLEASE HELP ME
Mice21 [21]
<h3><u>Answer:</u></h3>
  • Your answer would be "30".
<h3><u>Step-by-step explanation:</u></h3>
  • 2x + 20 = 3x - 10 [Corresponding Angles]
  • => 10 + 20 = 3x - 2x
  • => 30 = x
<h3><u>Conclusion:</u></h3>

Therefore, your answer would be "30".

Hoped this helped.

BrainiacUser1357

5 0
2 years ago
Write for the system 3x - 5y = 9,3x+y=3, which variable should we eliminate first?​
murzikaleks [220]

Answer:

x

Step-by-step explanation:

7 0
2 years ago
A company wishes to manufacture some boxes out of card. The boxes will have 6 sides (i.e. they covered at the top). They wish th
Serhud [2]

Answer:

The dimensions are, base b=\sqrt[3]{200}, depth d=\sqrt[3]{200} and height h=\sqrt[3]{200}.

Step-by-step explanation:

First we have to understand the problem, we have a box of unknown dimensions (base b, depth d and height h), and we want to optimize the used material in the box. We know the volume V we want, how we want to optimize the card used in the box we need to minimize the Area A of the box.

The equations are then, for Volume

V=200cm^3 = b.h.d

For Area

A=2.b.h+2.d.h+2.b.d

From the Volume equation we clear the variable b to get,

b=\frac{200}{d.h}

And we replace this value into the Area equation to get,

A=2.(\frac{200}{d.h} ).h+2.d.h+2.(\frac{200}{d.h} ).d

A=2.(\frac{200}{d} )+2.d.h+2.(\frac{200}{h} )

So, we have our function f(x,y)=A(d,h), which we have to minimize. We apply the first partial derivative and equalize to zero to know the optimum point of the function, getting

\frac{\partial A}{\partial d} =-\frac{400}{d^2}+2h=0

\frac{\partial A}{\partial h} =-\frac{400}{h^2}+2d=0

After solving the system of equations, we get that the optimum point value is d=\sqrt[3]{200} and  h=\sqrt[3]{200}, replacing this values into the equation of variable b we get b=\sqrt[3]{200}.

Now, we have to check with the hessian matrix if the value is a minimum,

The hessian matrix is defined as,

H=\left[\begin{array}{ccc}\frac{\partial^2 A}{\partial d^2} &\frac{\partial^2 A}{\partial d \partial h}\\\frac{\partial^2 A}{\partial h \partial d}&\frac{\partial^2 A}{\partial p^2}\end{array}\right]

we know that,

\frac{\partial^2 A}{\partial d^2}=\frac{\partial}{\partial d}(-\frac{400}{d^2}+2h )=\frac{800}{d^3}

\frac{\partial^2 A}{\partial h^2}=\frac{\partial}{\partial h}(-\frac{400}{h^2}+2d )=\frac{800}{h^3}

\frac{\partial^2 A}{\partial d \partial h}=\frac{\partial^2 A}{\partial h \partial d}=\frac{\partial}{\partial h}(-\frac{400}{d^2}+2h )=2

Then, our matrix is

H=\left[\begin{array}{ccc}4&2\\2&4\end{array}\right]

Now, we found the eigenvalues of the matrix as follow

det(H-\lambda I)=det(\left[\begin{array}{ccc}4-\lambda&2\\2&4-\lambda\end{array}\right] )=(4-\lambda)^2-4=0

Solving for\lambda, we get that the eigenvalues are:  \lambda_1=2 and \lambda_2=6, how both are positive the Hessian matrix is positive definite which means that the functionA(d,h) is minimum at that point.

4 0
3 years ago
50 decreased by twice craig's score use the variable c to represent craig's score
ikadub [295]

Answer:

50 - 2c

Step-by-step explanation:

i think its incomplete

3 0
3 years ago
Help Plz ASAP!!!!!!​
Zigmanuir [339]

Answer: ( t - 5)* 210 = 41790

T=204

Step-by-step explanation:

Believe me my friend

8 0
3 years ago
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