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lutik1710 [3]
3 years ago
14

This is for Pre-Calc, so please use Pre-Calc terms. You do not have to answer number 1. I have it done already. I need help ASAP

to get this done. I am giving 50 points to the first person who answers the questions right.
1) Explain the major steps for doing a mathematical induction problem. Walk through one of the example problems from the lesson or e-textbook as if you are teaching it to me.
2) For a given sequence: a1 = 2 a7 = 128 Find a10 if it is an arithmetic sequence. Find a10 if it is a geometric sequence. (The 2 will be different)
3) Write the following two sequences using summation notation: 5 - 10 + 15 - 20 + 25 - ..... 40 5 - 10 + 15 - 20 + 25 - ..... (Hint: these are different)
4) Find an equation for the nth term in the following sequence: 2, 8, 32, 128, 512...
5) Describe when to use a series and when to use an equation. For example, when would you use: f(x) = 3x+5 and when would you use: Height = 2 + 3n (where n is 1, 2, 3...)
Mathematics
1 answer:
Dominik [7]3 years ago
6 0

Answer:

17

Step-by-step explanation:

a1=2a7 because the square route of (Tan) is 49 so it 2a7tan49 fa10 the answer is b

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Try It for Example 3: Is 3.14144144414444... a rational number? Explain your reasoning. *
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Step-by-step explanation:

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2 years ago
Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui
Vesnalui [34]
<h3>The dimensions of the given rectangular box are:</h3><h3>L  =   15.874 cm  , B  =  15.874 cm   , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box  

= Area of the base +  4 x ( Area of the adjacent faces)

=  S x S  +  4 ( S x H)   = S² +  4 SH   ..... (1)

Also, Area of the box  = S x S x H  =  S²H

⇒ S²H = 2000

\implies H = \frac{2000}{S^2}

Substituting the value of H in (1), we get:

A = S^2 + 4 SH =  S^2 + 4 S(\frac{2000}{S^2}) =  S^2 + (\frac{8000}{S})\\\implies A  =  S^2 + (\frac{8000}{S})

Now, to minimize the area put :

(\frac{dA}{dS} ) = 0 \implies 2S  - \frac{8000}{S^2}  = 0\\\implies S^3 = 4000\\\implies S  = 15.874 \approx 16 cm

Putting the value of S  = 15.874 cm in the value of H , we get:

\implies H = \frac{2000}{S^2}  =  \frac{2000}{(15.874)^2} = 7.8937 cm

Hence, the dimensions of the given rectangular box are:

L  =   15.874 cm

B  = 15.874 cm

H = 7.8937 cm

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3 years ago
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