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3 years ago

Which one is the correct answer?

Mathematics

1 answer:

Molodets [167]3 years ago

5 0

The answer selected is the correct answer because all of the other ones are equivalent to each other.

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Evan wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence

pentagon [3]

Answer: A. A=(1000-2w)*w B. 250 feet

C. 125 000 square feet

Step-by-step explanation:

The area of rectangular is A=l*w (1)

From another hand the length of the fence is 2*w+l=1000 (2)

L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.

Express l from (2):

l=1000-2w

Substitude l in (1) by 1000-2w

A=(1000-2w)*w (3) ( Part A. is done !)

Part B.

To find the width w (Wmax) that corresponds to max of area A we have to dind the roots of equation (1000-2w)w=0 ( we get it from (3))

w1=0 1000-2*w2=0

w2=500

Wmax= (w1+w2)/2=(0+500)/2=250 feet

The width that maximize area A is Wmax=250 feet

Part C. Using (3) and the value of Wmax=250 we can write the following:

A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets

3 0

3 years ago

What is -29.9 - 4.6? O A. -6,5 B. 65 C. 0.65 D. -65

natulia [17]

-6.5 which in your answer choices is a

7 0

2 years ago

Use the Chain Rule to find the indicated partial derivatives. z = x^4 + xy^3, x = uv^4 + w^3, y = u + ve^w Find : ∂z/∂u , ∂z/∂v

k0ka [10]

I'll use subscript notation for brevity, i.e. $\frac{\partial f}{\partial x}=f_x$ .

By the chain rule,

$z_u=z_xx_u+z_yy_u$

$z_v=z_xx_v+z_yy_v$

$z_w=z_xx_w+z_yy_w$

We have

$z=x^4+xy^3\implies\begin{cases}z_x=4x^3+y^3\\z_y=3xy^2\end{cases}$

and

$\begin{cases}x=uv^4+w^3\\y=u+ve^w\end{cases}\implies\begin{cases}x_u=v^4\\x_v=4uv^3\\x_w=3w^2\\y_u=1\\y_v=e^w\\y_w=ve^w\end{cases}$

When $u=1,v=1,w=0$ , we have

$\begin{cases}x(1,1,0)=1\\y(1,1,0)=2\end{cases}\implies\begin{cases}z_x(1,2)=12\\z_y(1,2)=12\end{cases}$

and the partial derivatives take on values of

$\begin{cases}x_u(1,1,0)=1\\x_v(1,1,0)=4\\x_w(1,1,0)=0\\y_u(1,1,0)=1\\y_v(1,1,0)=1\\y_w(1,1,0)=1\end{cases}$

So we end up with

$\boxed{\begin{cases}z_u(1,1,0)=24\\z_v(1,1,0)=60\\z_w(1,1,0)=12\end{cases}}$

3 0

3 years ago

Calculate the total cost of an item bought at a negotiated price of $15,640 and a $2,500 trade-in allowance. The sales tax is 7.

34kurt

15,640 * 7.2% = 1,126.80 Sales tax

Total cost:
cost of an item: 15,640 - 2,500 = 13,140.00
sales tax 1,126.80
registration fee 106.00
14,372.80 2nd option.

6 0

3 years ago

You have 1 case of soap bars and there are 150 bars in a case. You use 300 bars of soap per day. How many cases do you need to o

stepan [7]

13. you need a total of 14 a week and you have 1

6 0

3 years ago