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lord [1]
3 years ago
14

(6) Work out 5 1 6 12

Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0

Answer:

=123

Step-by-step explanation:

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What is the amplitude of the function shown in the graph?
nydimaria [60]

Based on the graph, the amplitude is 0.5. You can determine this number as well if you look at the x axis. Hopefully I helped you.

If I did please mark me as brainliest!

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3 years ago
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Which expression is equivalent to 60 Σ n=1 (2n − 1)2 ? Check all that apply.
Hunter-Best [27]

9514 1404 393

Answer:

  B, D

Step-by-step explanation:

The quadratic expands to ...

  (2n -1)² = (2n)² +2(2n)(-1) +(-1)² = 4n² -4n +1

The coefficients can be factored out of the sum, so ...

  ∑(4n²) = 4∑n² for example

The sum of 60 ones is 60:

  \displaystyle\sum_{n=1}^{60}{1}=1+1+1+\dots+1=60

So, the sum can be written as ...

  \displaystyle\sum_{n=1}^{60}{(2n-1)^2}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+\sum_{n=1}^{60}{1}}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+60}

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It appears that the key to choosing the correct answers is paying attention to signs.

7 0
2 years ago
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Complete the square to determine the minimum or maximum value of the function defined by the expression. x2 − 12x − 2
ad-work [718]

Answer:

The minimum value = -38

Step-by-step explanation:

∵ f(x) = x² - 12x - 2

∵ -12x ÷ 2 = -6x ⇒ -6 × x

∴ (x - 6)² = x² - 12x + 36

∴ Add and subtract 36 in f(x)

∴ f(x) = (x² - 12x + 36) - 36 - 2

∴ f(x) = (x - 6)² - 38 ⇒ completing square

∴ The vertex of the parabola is (6 , -38)

∵ Its minimum point because the coefficient of x² is positive

∴ The minimum value = -38

5 0
3 years ago
2 A marathon race is 42 195 m in length. The world record in 2016 was
Verizon [17]

Answer:

A. 7377 s

B. 5.72 m/s

C. 5.86 m/s

Step-by-step explanation:

A. Determination of the time in second.

Time (t) = 2 hours, 2 minutes and 57 seconds

We'll begin by converting 2 hours to seconds. This can be obtained as follow:

1 hour = 3600 s

Therefore,

2 hour = 2 hours × 3600 s / 1 hour

2 hours = 7200 s

Next, we shall convert 2 mins to seconds. This can be obtained as follow:

1 min = 60 s

Therefore,

2 mins = 2 mins × 60 s / 1 min

2 mins = 120 s

Finally, we shall determine the total time in second. This can be obtained as follow:

2 hours, 2 minutes and 57 seconds = 7200 s + 120 s + 57 s

= 7377 s

Therefore, the total time in second is 7377 s

B. Determination of the average speed.

Total distance = 42195 m

Total time = 7377 s

Average speed =?

Average speed = Total distance / total time

Average speed = 42195 / 7377

Average speed = 5.72 m/s

Therefore, the average speed is 5.72 m/s

C. Determination of the average speed.

We'll begin by converting 2 hours to seconds. This can be obtained as follow:

1 hour = 3600 s

Therefore,

2 hour = 2 hours × 3600 s / 1 hour

2 hours = 7200 s

Finally, we shall determine the average speed. This can be obtained as follow:

Total distance = 42195 m

Total time = 7200 s

Average speed =?

Average speed = Total distance / total time

Average speed = 42195 / 7200

Average speed = 5.86 m/s

Therefore, the average speed is 5.86 m/s.

7 0
3 years ago
Pleas help me Solve- 8/0.5 ​
klasskru [66]

Answer:

The answer to the question is -16.

6 0
3 years ago
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