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insens350 [35]
3 years ago
6

wright down in terms of n, an expression for the nth term of the following sequences: a) 12,10,8,6,4 b) 25,20,15,10,5

Mathematics
1 answer:
Arturiano [62]3 years ago
3 0

Answer:

a)a_{n} =−2n+14

b)a_{n}  = − 5 n + 30

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Prove 2/sqrt3cosx+sinx=sec(pi/6-x)
dlinn [17]

Thus L.H.S = R.H.S that is 2/√3cosx + sinx  = sec(Π/6-x) is proved

We have to prove that

2/√3cosx + sinx  = sec(Π/6-x)

To prove this we will solve the right-hand side of the equation which is

R.H.S = sec(Π/6-x)

          = 1/cos(Π/6-x)

[As secƟ = 1/cosƟ)

           = 1/[cos Π/6cosx + sin Π/6sinx]

[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]

           = 1/[√3/2cosx + 1/2sinx]

            = 1/(√3cosx + sinx]/2

            = 2/√3cosx + sinx

    R.H.S = L.H.S

Hence 2/√3cosx + sinx  = sec(Π/6-x) is proved

Learn more about trigonometry here : brainly.com/question/7331447

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5 0
1 year ago
**60 PTS**
IgorC [24]
A. It is an experiment as the sales director is applying treatment ( the training ) to a group and recording the results.

B. I would have 250 sales representatives from each region take the training and 250 from each region to not take it so i can be able to see if it affects both regions differently. The representatives from each region would be chosen at random and the length of their training would be the same for all.

C. now you would only be able to have 200 people from each region train. this would lower the percentage of the impact the training had on the amount of sales ( if any) . For example, if the original 250 trained people in a region increased the sales in that region by 20 percent and 50 of those people ended up not actually training, the sales would have only increased by 16 percent.

D. correlational research is best to establish causality. for example, the amount of training the representatives got may affect how much they are able to sell. also the number of representatives trained may affect the amount sold
3 0
3 years ago
Given a line with slope m = -3/2 and a point (5, -6), what's the y-coordinate of the y- intercept?​
Svetlanka [38]

Answer:

3/2

Step-by-step explanation:

y = mx + b

-6 = -3/2(5/1) + b

-12/2 = -15/2 + b

b = 3/2

3 0
2 years ago
Corinnes puppy eats 3 meals a day. How many meals does the puppy eat in 32 days
kvasek [131]
Corinne's puppies eat 92 meals in 32 days.
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3 years ago
6x+18=h(3x+9) what value the constant h in the equation shown below will result in a infinite number of solutions
pav-90 [236]
For there to be an infinite number of solutions, the quantity on the left side of the equation must be the same as on the right.
First, distribute the equation to get 
6x + 18 = 3xh + 9h
If h = 2, the equation on the right would also be 6x + 18 which would yield the same equation and hence an infinite number of solutions
So the answer is h = 2
4 0
2 years ago
Read 2 more answers
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