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noname [10]
2 years ago
14

The table shows the temperatures in degrees Celsius, y, inside a shed at x hours past noon. The maximum and minimum temperatures

are shown.
Which equation models this data?

Mathematics
1 answer:
kolbaska11 [484]2 years ago
5 0

Answer:

B

y = 3 cos (pi/12x - pi/4) + 17

Step-by-step explanation:

First find the average temperature which is 20 + 14/2 = 17

Find the amplitude

20 - 17 = 3

This means that that at noon, the shift is 3hrs past

the best equation that represents this scenario is y = 3 cos (\frac{\pi}{12}x - \frac{\pi}{4}) + 17

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A patio was to be laid in a design with one tile in the
Vlada [557]

Answer:

10

Step-by-step explanation:

The number of tiles in the design is 1 + 2 + 3 + ...

We can model this as an arithmetic series, where the first term is 1 and the common difference is 1.  The sum of the first n terms of an arithmetic series is:

S = n/2 (2a₁ + d (n − 1))

Given that a₁ = 1 and d = 1:

S = n/2 (2(1) + n − 1)

S = n/2 (n + 1)

Since S ≤ 60:

n/2 (n + 1) ≤ 60

n (n + 1) ≤ 120

n must be an integer, so from trial and error:

n ≤ 10

Mr. Tong should use 10 tiles in the final row to use the most tiles possible.

7 0
2 years ago
here is a list of numbers. 7,12,16,20,27,40,56,64. a work out the difference between the two square numbers in the list. b work
poizon [28]

Answer:

see below

Step-by-step explanation:

7,12,16,20,27,40,56,64

The square numbers are 16 = 4^2   and 64 = 8^2

The difference is 64 - 16 =48

The cube numbers are 27 = 3^3 and 64 = 4^3

64 - 27 =37

4 0
3 years ago
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What is the anser for 194*33333
kkurt [141]

(the answer is) = 6466602

8 0
2 years ago
Speed can be found using the formula s = d/t (d = distance, t = time). True or false
Galina-37 [17]
False, it would be d*t (distance*time)
8 0
3 years ago
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What is the rate of change seen in the graph below?
Harrizon [31]

Answer:

0

Step-by-step explanation:

the answer is 0

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2 years ago
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