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Sergio039 [100]
3 years ago
13

a grocer stacks oranges in a square pyramid. each orange sits on the 4 oranges below it. so, the top layer has 1 orange and the

layer below it has 4 oranges. the layer below that has 9 oranges. the total number of oranges required for 1 layer is 1. the total number of oranges required for 2 layers is 5. the total number of oranges required for 3 layers is 14. Write a recursive formula for the sequence. how many oranges are required for 10 layers?
Mathematics
1 answer:
zaharov [31]3 years ago
8 0
The top layer has 1 orange and the layer below has 4 oranges, the layer below has 9 oranges, the total number of oranges for each layer:

Layer 1 = 1 orange
Layer 2 = 4 oranges
Layer 3 = 9 oranges
Total: 14 oranges. 

The number of oranges required for 10 layers can be solved using an arithmetic sequence. 
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Noha rides his bike 4 miles and andrew rides his bike 2 miles how long dose it take for them to meet up( there 15 miles away
jok3333 [9.3K]

Step-by-step explanation:

Considering speed of Noha = 4miles per hour

and speed of andrew = 2 miles/hour

The distance between Noha and andrew = 15 miles

Case 1: when they are travelling towards each other( opposite direction)

Then their relative speed becomes = 4+2 = 6miles/hour

Time taken to meet = Distance/relative speed = 15/6 = 2.5 hours

Case2: When they are travelling same direction

Then their relative speed becomes = 4-2 = 2 miles/hour

Time taken to meet = Distance/ relative speed = 15/2 = 7.5 hours

6 0
3 years ago
which second-degree polynomial function has a leading coefficient of -1 and root 4 with multiplicity 2
olchik [2.2K]

Answer:

  f(x) = -x^2 +8x -16

Step-by-step explanation:

With the given data, we can write the factored function as ...

  f(x) = -1(x -4)^2 . . . . . -1 is the leading coefficient; exponent of 2 gives root multiplicity

  f(x) = -x^2 +8x -16

5 0
4 years ago
If there are 360 grams of radioactive material with a half-life of 8 hours, how much of the radioactive material will be left af
lyudmila [28]

Answer:

There will be 22.5 grams left after 32 hours.

Step-by-step explanation:

A half-life is how long it takes for half of the amount to go away. In this case, we see that we have two half-life periods worth, which you can determine by dividing the total time by the half-life time.

32hrs/8hrs = 4 half lives.

Now we can raise 1/2 to the power of how many half lives we have (2). Then we multiply that by the amount in the sample.

(1/2)^4 * 360

1/16 * 360

22.5 grams

And this is an exponential function.

4 0
3 years ago
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Burka [1]

Answer:

y=(-1/12)x+(-13/12)

Step-by-step explanation:

6 0
3 years ago
What Is the square root of 9
Genrish500 [490]

the square root of 9 would be 3. as 3 x 3 =9

the square root of any number is asking what number times itself will give you the given number you are trying to square root. for example, the square root of 36 would be 6, as 6 x 6 = 36. I hope this helped




6 0
3 years ago
Read 2 more answers
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