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77julia77 [94]
3 years ago
14

Jim is building a rectangular deck and wants the length to be 1 ft greater than the width. what will be the dimensions of the de

ck if the perimeter is to be 66 ​ft?
Mathematics
1 answer:
Travka [436]3 years ago
3 0
Let x = width
x+1 is then the length

2x+2(x+1)=66
2x+2x+2=66
4x=64
x=16
deck will be 16x17, nice for a BBQ. :)
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A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times.
tatyana61 [14]

Answer:

(a)g(n)=0.05\cdot 2^n

(b)g^{-1}(n)=\log_{2}20g(n)

(c)43 times

Step-by-step explanation:

<u>Part A</u>

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n

<u>Part B</u>

<u />g(n)=0.05\cdot 2^n\\2^n=\dfrac{g(n)}{0.05}\\ 2^n=20g(n)\\$Changing to logarithm form, we have:\\\log_{2}20g(n)=n\\$Therefore:\\g^{-1}(n)=\log_{2}20g(n)<u />

<u />

<u>Part C</u>

If the thickness of the paper, g(n)=384,472,300,000 mm

Then:

g^{-1}(n)=\log_{2}20g(n)\\g^{-1}(n)=\log_{2}20\times 384,472,300,000\\=\dfrac{\log 20\times 384,472,300,000}{\log 2} \\g^{-1}(n)=42.8 \approx 43\\n=43

You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.

3 0
3 years ago
Uhh- i need some help with this-
MAVERICK [17]

It is 36*4= 144  That is the answer for both corecction 214

8 0
3 years ago
Read 2 more answers
Write 3,905,000 in expanded form.
Damm [24]

Answer:

 3,000,000  

+ 900,000  

+ 0  

+ 5,000  

+ 0  

+ 0  

+ 0  

7 0
3 years ago
What is the domain of the set of ordered pairs {(−5,−4),(−4,4),(2,3),(4,5)}?
kvv77 [185]

Answer:

{-5,-4,2,4}

Step-by-step explanation:

the domain is which x-values are included so use each of the x-values for each pair. Make sure if there are reapeats that you only write them once.

3 0
2 years ago
The ending time is 10:08 and the elapsed time is 30 minutes what is the starting tome
elena55 [62]
Wouldn't you just count back 30 minutes from 10:08?
If you round up to 10:10, it's a little easier. Picture an analog clock in your head. Every big number is five minutes, and every two is ten minutes. If we put it back to the 12, that's ten minutes back. Twenty minutes earlier from that would be 9:40. Since we added two minutes to make it easier, we've got to subtract those two minutes. So, the starting time would be 9:38.
I hope this isn't too confusing.
7 0
3 years ago
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