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amm1812
3 years ago
5

1,2,4,7,11,16,22, ___,____ What is the rule?

Mathematics
2 answers:
Paha777 [63]3 years ago
6 0
Find rates of change until you find a constant.

dy/dx=1,2,3,4,5,6

d2y/dx2=1,1,1,1,1  

So the acceleration, d2y/d2x, is constant.  This means that this is a quadratic sequence of the form a(n)=an^2+bn+c.  So we can set up a system of equations to solve for the values of a,b, and c.  Using the first three points, (1,1), (2,2), and (3,4) we have:

9a+3b+c=4, 4a+2b+c=2, and a+b+c=1  getting the differences...

5a+b=2 and 3a+b=1  and getting this difference...

2a=1, so a=1/2 making 5a+b=2 become:

2.5+b=2, so b=-1/2, making a+b+c=1 become:

1/2-1/2+c=1, so c=1  so the rule is:

a(n)=0.5x^2-0.5x+1  or if you prefer to not have decimals

a(n)=(x^2-x+2)/2
Mkey [24]3 years ago
3 0
The rule is to add each number like this 1,2,3,4,5,6,7 and so on to add to the numbers
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( 5.6 - 1.2 ) times 1/3 =
vladimir1956 [14]

Answer:

4.4* 1/3

4.4= 4 and 4/10 so 44/10*1/3= 44/30= 22/15

22/15

Step-by-step explanation:

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Please help me with Q 7 c
frez [133]

Answer:

11.25 km h^-2

Step-by-step explanation:

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= 90 - 0 / 8

= 11.25 km h^-2.

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3 years ago
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The tables below show running hours of three printers that produce greeting cards and the total number of greeting cards produce
AysviL [449]

<u>ANSWER</u>

The correct answer is A


<u>EXPLANATION</u>



To find the ink cost of each card coming from printer  B, we need to find the total cost from printer B and the total number of cards printed by Printer B.


The total hours of all the three printers over the three weeks

=40+45+55+50+50+30+45+40+60=415


The total hours of printer B only

=50+50+30=130


Total number of cards produced over the three weeks


=7950+7800+9600=25350


We can use ratio and proportion to determine the total cards produce by printer B only.


415:25350


130:x


If less, more divides


x=\frac{130\times 25350}{415} \approx7941


Total cost of Printer B in 130 hours

$=130 \times 15=1950


The ink cost

=\frac{1950}{7941}


=0.2456


$\approx 0.30

to 2 decimal places

8 0
3 years ago
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Please help!
Vladimir [108]

Answer:

About $4425.69

Step-by-step explanation:

Input the values into the equation to get: $4253(1+0.01)^4=

$4425.69(when rounding to the nearest cent)

6 0
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