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Tpy6a [65]
2 years ago
7

HELPPPPPPPP!!!!!!!!!!!!!!!

Mathematics
1 answer:
Scilla [17]2 years ago
4 0

Answer:

12

Step-by-step explanation:

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Help please you don’t know how much this means to me
ICE Princess25 [194]
<h2>Problem 6:</h2><h2>a)</h2>

a(0) = 1  \:  \:  \:  \:  \:  \: b(0) = 2 \:  \:  \:  \:  \: c(0) = 3 \\ a(1) = b(0) + c(0) = 2 + 3 = 5 \\ b(1) = a(0) + c(0) = 1 + 3 = 4 \\ c(1) = a(0) + b(0) = 1 + 2 = 3 \\  \\ a(2) = b(1) + c(1) = 4 + 3 = 7 \\ b(2) = a(1) + c(1) = 5 + 3 = 8 \\ c(2) = a(1) + b(1) = 5 + 4 = 9

a(3) = b(2) + c(2) =  8 + 9 = 17\\ b(3) = a(2) + c(2) =7 + 9 = 16  \\ c(3) = a(2) + b(2) = 7 + 8 = 15 \\  \\ a(4) = b(3) + c(3) = 16  + 15 = 31 \\ b(4) = a(3) + c(3) = 17 + 15 = 32 \\ c(4) = a(3) + b(3) = 17 + 16 = 33

a(5) = 32 + 33 = 65 \\ b(5) = 31 + 33 = 64 \\ c(5) =31 + 32 =  63 \\  \\ a(6) = 64 + 63 = 127 \\ b(6) = 65 + 63 = 128 \\ c(6) = 65 + 64 = 129 \\

a(7) = 128 + 129 = 257 \\ b(7) = 127 + 129 = 256 \\c (7) = 127 + 128 = 255 \\  \\ a(8) = 256 + 255 = 511 \\ b(8) = 257 + 255 = 512 \\ c(8) = 257 + 256 = 513

a(9) = 512 + 513 = 1025 \\ b(9) = 511 + 513 = 1024 \\ c(9) = 511 + 512 = 1023 \\  \\ a(10) = 1024 + 1023 = 2047 \\ b(10) = 1025  + 1023 = 2048 \\ c(10) = 1025 + 1024 = 2049

<h2>b)</h2>

a(n) + b(n) + c(n) =   \\  2(a(n - 1) + b(n - 1) + c(n - 1)) \\   6 \times 2 {}^{n }

<h2>c)</h2>

6 \times 2 {}^{n}  > 100 \: 000 \\ 2 {}^{n}  >  \frac{100 \: 000}{6}  \\ n >  log {}^{2} ( \frac{100 \: 000}{6} )  \\ n > 14.02468 \\ n = 15

<h2 />
5 0
1 year ago
The vine in the pumpkin patch grow 10 feet every 40 days. How many feet does it grow in one day?
Hunter-Best [27]

10 : 40

divide each side by 40

0.25 : 1

It grows 1/4th of a foot in one day.

6 0
3 years ago
Read 2 more answers
A scuba diver is at -20 meters. He descends 10 meters per minute, m. Write and solve an inequality that represents how many minu
Tomtit [17]

Answer:

-170= -10m - 20

Step-by-step explanation:

-20 is the y intercept, so in the equation y=mx+b that would be the b. Because he is going down at 10 meters per minute, it means that the -10 would go into the x spot and the -170 is where he needs to get to. Hope this helped!

7 0
3 years ago
Bob the builder is making 480kg of concrete mix
vichka [17]

To answer this item, we are first to determine the common factor between the amounts of the cement, sand, and gravel.


If we let x be this factor, the amount of the cement would be x. Similarly, the amount of sand is 3x, and lastly the amount of gravel is 4x. Then, we establish the equation that would let us relate the amounts.


      x + 3x + 4x = 480


Simplifying,

    8x = 480

     x = 60


Hence, the amount of cement is 60 kg, that of sand is 180 kg. Lastly, the amount of gravel is 240 kg. 



5 0
3 years ago
A rectangular prism with a volume of 44 cubic units is filled with cubes with side lengths of 1/3 unit How many 1/3 unit cubes d
pickupchik [31]

Check the picture below.

so the volume of the smaller cube will just be (1/3)³.

how many of those cubes will take to fill up the larger cube?

namely

how many times does (1/3)³ go into 44?

\bf \left( \cfrac{1}{3} \right)^3\implies \cfrac{1^3}{3^3}\implies \cfrac{1}{27}\impliedby \textit{volume of the smaller cube} \\\\\\ 44\div \cfrac{1}{27}\implies \cfrac{44}{1}\div \cfrac{1}{27}\implies \cfrac{44}{1}\cdot \cfrac{27}{1}\implies 1188

7 0
3 years ago
Read 2 more answers
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