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Arada [10]
3 years ago
12

if the nth term of a sequence is 2n+2n squared, find the first 3 terms and the 10th term please help​

Mathematics
1 answer:
marishachu [46]3 years ago
8 0

Answer:

3rd term: 24

10th term: 220

Step-by-step explanation:

<em>For the 3rd term</em>

2*3 + 2*(3^2) = 6 + 2*9 = 6 + 18 = 24

<em>For the 10th term</em>

2*10 + 2*(10^2) = 20 + 2*100 = 20 + 200 = 220

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Cosine is a trigonometric function. The value of cos(x+π), when the value of cos(x)=-(√3)/2 is √3/2. The correct option is A.

<h3>What is a cosine?</h3>

Cosine is the trigonometric function equal to the ratio of the side next to an acute angle to the hypotenuse in a right-angled triangle.

Given the value of cos(x)=-(√3)/2, therefore, the value of x can be written as,

cos(x) = -(√3)/2

(x) = cos⁻¹ [-(√3)/2]

x = 5π/6 = 150°

Now, the value of cos(x+π) will be,

cos(x+π)

= cos[(5π/6)+π]

= cos(11π/6)

= √3 / 2

Hence, the value of cos(x+π), when the value of cos(x)=-(√3)/2 is √3/2.

Learn more about Cosine function here:

brainly.com/question/17954123

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7 0
2 years ago
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Please help me with my question I will like and mark as brainliest
lutik1710 [3]

Answer:

For 2a, we are completing the square (see the image below)

To find the stationary point (2b) you change the sign of the number inside the brackets and keep the number outside the same i.e (-2, 7)

Hope this helps!

6 0
3 years ago
A 15-foot ladder leans against a house. The bottom of the ladder is 7 feet from the house. To the nearest degree, what angle doe
max2010maxim [7]
The ladder is forming a right triangle with the house. In this right triangle the hypotenuse is the measure of the ladder, and the distance between the house and he ladder is one of the sides of the triangle. To find the angle, \alpha, that the ladder is making with the ground, we are going to use a trig function that relates the adjacent side of our angle with the hypotenuse. That trig function is Cosine. 
Cos \alpha = \frac{adjacent.side}{hypotenuse}
Cos \alpha = \frac{7}{15}
\alpha =arcCos( \frac{7}{15} )
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We can conclude that the ladder make with the ground a 62° angle.
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3 years ago
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Answer:

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Step-by-step explanation:

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At least 15 chocolates must be extracted to theoretically guarantee 5 chocolates each, but how we are interested in knowing is that a single flavor has 5 chocolates, so we discard the last two chocolates that represent the other two flavors

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Which is not generally used to represent a function?
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Answer:

C words

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