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Tpy6a [65]
3 years ago
15

What is the twentieth term of the arithmetic sequence described by the equation an= 3n - 10?

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
8 0

Answer:

The twentieth term is 50.

Step-by-step explanation:

The equation that describes the arithmetic sequence describes it's "general term", which means that all the numbers in that sequence must follow that equation. For instance, if we want to find the first term of the sequence we must make a = 1 and we have:

a1 = 3*1 - 10

a1 = -7

Therefore to find the twentieth term we need to make n equal to 20. This is done below:

a20 = 3*20 - 10

a20 = 60 - 10

a20 = 50

The twentieth term is 50.

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Express with radical signs instead of fractional exponents. Rationalize the denominator.
CaHeK987 [17]

x^{\frac{1}{2}} = \sqrt[2]{x} and 3^{-\frac{1}{2}} = \frac{1}{3^{\frac{1}{2}} } = \frac{1}{\sqrt[2]{3}} so

3^{-\frac{1}{2}} x^{\frac{1}{2}} = \frac{1}{\sqrt{3}} \cdot \sqrt{x}  = \frac{\sqrt{x}}{\sqrt{3}}

and you rationalize denominator by multiplying numerator and denominatr by \sqrt{3} so that gives--

\frac{\sqrt{x}}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} = \frac{\sqrt{3x}}{3}

Your answer is \frac{\sqrt{3x}}{3}

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3 years ago
When Carrie put up 2 ads for her lemonade stand, she had 11 customers.
gulaghasi [49]
One ad attracted 5? Costumers. The other attracted 6?
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What is the location of point A?<br><br><br><br> (-6, 3)<br> (-6, -3)<br> (6, -3)<br> (3, -6)
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6 0
2 years ago
Read 2 more answers
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OverLord2011 [107]

Answer:

Part A

The polynomial expression for the profit from selling and making 'y' cars is 0.003·y² - 10·y - 1,000,000

Part B

The profit made from selling 30,000 cars is 1,670,000

Step-by-step explanation:

Part A

Taking the revenue, 'R', made by the car company for the sale of 'y' cars as R = 0.003·y² + 10·y

The cost to produce 'y' cars, C = 20·y + 1,000,00

The profit, 'P', from making and selling 'y' cars is given as follows;

P = R - C

∴ 0.003·y² + 10·y - (20·y + 1,000,00) = 0.003·y² - 10·y - 1,000,00

An expression of the polynomial for the profit 'P', from selling and making 'y' cars is therefore presented as follows;

0.003·y² - 10·y - 1,000,000

Part B

The profit made from selling 30,000 cars, (y = 30,000) is given as follows;

= 0.003·y² - 10·y - 1,000,000

P_{y = 30,000} = 0.003 × 30,000,000² - 10×3,000 - 1,000,000 = 1,670,000

The profit made from selling 30,000 cars = 1,670,000.

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2 years ago
Jayden used 20 color ties to make a design above his stove 15 out of 20 of his tires were green what is an equivalent fraction f
skad [1K]

Answer:

3/4

Step-by-step explanation:

15.20 simplified = 3/4

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2 years ago
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