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tangare [24]
3 years ago
13

Consider the arithmetic sequence where the 12th term is 41 and the 4th term is 1. a. Find the formula of the nthterm of the sequ

ence. b. Find the sum of the first 20 terms.
Mathematics
1 answer:
svlad2 [7]3 years ago
3 0
The common difference is 6. The first term is x−d=37−6=31.
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7 0
2 years ago
What is the slope of a line perpendicular to the line whose equation is 6x+2y=−32. Fully simplify your answer.
Reika [66]

The slope of the line that is perpendicular to 6x + 2y = -32 is: 1/3.

<h3>What is the Slope of Perpendicular Lines?</h3>

The slope of two lines that are perpendicular to each other will always have a product that is equal to -1, which means that their slopes are negative reciprocals to each other.

Rewrite 6x + 2y = -32 in slope-intercept form:

2y = -6x - 32

2y/2 = -6x/2 - 32/2

y = -3x - 16

The slope is -3. Negative reciprocal of -3 is 1/3.

Therefore, the slope of the perpendicular line would be: 1/3.

Learn more about the slope of perpendicular lines on:

brainly.com/question/1362601

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5 0
1 year ago
A number is decreased by 40% to 525. what is the original amount?​
zhenek [66]

Answer:

875

Step-by-step explanation:

lets assume the original amount X

the new amount = X - ( X × 40% )

525 = (60 × X) ÷ 100

X = ( 525 × 100 ) ÷ 60

<u>X = 875</u>

6 0
2 years ago
Read 2 more answers
What are the signs of the x- and y-coordinates of points within each of the four quadrants in the coordinate plane?
Naily [24]
In the first quadrant the signs would be (x,y) in the second quadrant they would be (-x,y) in the third (-x,-y) and the fourth (x,-y)
5 0
2 years ago
Coles has cut the price of Cadbury's chocolate bars by 20%. Their normal price is $3.45. A shareholder who has a Coles-Myer disc
pickupchik [31]
The first discounted price is given through the equation,
                              discounted price = ($3.45)(1 - 0.20) = $2.76
Then, due to the privilege of being a Coles-Myer discount card holder, another 7.5% discount is given. Such that the final price would be,
                              final price = ($2.76)(1 - 0.075) = $2.553
The total amount saved up is equal to,
                                    $3.45 - $2.553 = $0.897
5 0
3 years ago
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