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Ierofanga [76]
3 years ago
7

Plz help this is complicated

Mathematics
1 answer:
abruzzese [7]3 years ago
7 0

Answer:

Graph attached.

Step-by-step explanation:

In the question the given parameters are as followed.

y=7cos(\frac{x}{2})+1

1). Amplitude a = 7

2). Period = \frac{2\pi }{\frac{1}{2}}=2\pi \times 2=4\pi

3). Vertical shift = 1 means mid line of the graph will be y =1 and maximum of the graph is 8 and minimum is -6.

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Rewrite as a mathematical equation and solve: 3 less than the product of 5 and a number is 42. Find the number.
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5x-3=42. To solve you add three to both sides making the equation 5x=45. Then you divide both sides by five, and you get 9 as your answer.

8 0
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Stanley ran a 5 kilometer race in 30 minutes. what was his speed in kilometers per hour? round to the nearest tenth
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If he runs 5 kilometers in 30 minutes, at that rate he would run 10 kilometers in an hour.
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Can anyone explain how to do mathematical induction. The question is below. Brainliest awarded for the right answer. Thanks.
igomit [66]

The sum of the triangular numbers is \frac{n(n+1)(n+2)}{6}

According to the question, the series of triangular numbers is given as in the form of the number of dots constituting the equilateral triangles i.e.
1, 3, 6, 10, 15 . . . . .n

<h3>what is triangular numbers?</h3>

triangular number are the sequence and series of the numbers and each number represents and constitute in visualization of  series of  equilateral triangle.

given series in the figure
1, 3, 6, 10, 15, . . . . . .  ., n
each number represents the number of dots containing in triangle
now the series can be given by
S = \frac{n(n+1)}{2}  for n = 1, 2, 3, 4,. . . . .n
now , according to the question the sum of the series can be given as
⇒  ∑S
⇒   ∑\frac{n^2+n}{2}
⇒  \frac{1}{2}[\sum n^2+\sum n]\\\frac{1}{2}[\frac{n(n+1)(2n+1)}{6}+\frac{n(n+1)}{2}] \\\frac{n(n+1)}{4}[\frac{(2n+1)}{3}+1] \\\frac{n(n+1)}{4}[\frac{(2n+1+3)}{3}] \\\frac{n(n+1)}{4}[\frac{(2n+4)}{3}] \\\frac{n(n+1)}{4}2[\frac{(n+2)}{3}]\\\frac{n(n+1)(n+2)}{6}

Thus, the sum of the triangular number is given by \frac{n(n+1)(n+2)}{6}

Learn more about triangular numbers here:
brainly.com/question/1417765

#SPJ1

3 0
2 years ago
The sixth term of a sequence is 5. The tenth term is 7.
worty [1.4K]
<h3>Check the possibilities:</h3><h2>A:</h2>

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