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3 years ago

Find the area of the square whose perimeter is 80 cm.

Mathematics

2 answers:

makkiz [27]3 years ago

8 0

Perimeter = 4a= 80
a=80/4= 20 cm.
Area = 20 x 20 = 400 sq. cm.

gizmo_the_mogwai [7]3 years ago

4 0

Answer:

the answer is 400

Step-by-step explanation:

80/4=20

20x20 = 400

hoped this helps:P

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Step-by-step explanation:

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A retailer who sells fashion boots estimates that by selling them for x dollars each, he will be able to sell 70−x boots each we

Marat540 [252]

Answer: $35 is the selling price and $1225 is the maximum revenue.

Step-by-step explanation:

Since we have given that

$R(x)=-x^2+70x$

We need to find the maximum revenue.

So, We will first derivative it w.r.t. x.

So, it becomes,

$R'(x)=-2x+70$

Now, we will find critical points.

So, R'(x) = 0

So, it becomes,

$-2x+70=0\\\\-2x=-70\\\\x=\dfrac{70}{2}=35$

Now, to check whether it yields maximum revenue or not.

So, second derivative w.r.t. x, we get that

R''(x) = -2<0

So, At $35, it yields maximum revenue.

Amount of maximum revenue would be

$R(35)=-(35)^2+70\times 35=-1225+2450=\$1225$

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3 years ago

Find the generating function for the sequence 1,-2,4,-8, 16, ...

kirill [66]

Answer:

$a(x)=\dfrac{1}{1+2x}$

Step-by-step explanation:

The generating function a(x) produces a power series ...

$a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots$

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

$a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}$

This can be rearranged to ...

$a_n+2a_{n-1}=0$

We can formulate this in terms of a(x) as follows, then solve for a(x).

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The generating function is ...

a(x) = 1/(1+2x)

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