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gregori [183]
4 years ago
13

Find the square of x^2+8^x+1 (please show work)

Mathematics
1 answer:
malfutka [58]4 years ago
8 0

Answer:

x^2 + 2^3x + 1

Step-by-step explanation:

In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).

The number of times that each prime divides the original integer becomes its exponent in the final result.

In our example,

    Prime number 2 to the power of 3 equals 8 .

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I'LL GIVE BRAINLIEST: Which measurements could create more than one triangle?
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Step-by-step explanation:

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Find the area of the trapezoid by composition of rectangle and triangles. A) 30 units2 B) 38 units2 C) 42 units2 D) 54 units2
Brrunno [24]

Answer:

Option C is correct.

The total area of the trapezoid = 42 units²

Step-by-step explanation:

After a little research online, the image missing from the question was obtained and is attached to the solution of this question.

In the trapezoid given, there are two triangles and a rectangle.

Area of rectangle = length × breadth

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Breadth = 5 units

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Height = 6 units

Area of each of the exactly similar triangles = (1/2) × 2 × 6 = 6 units²

Area of the two similar triangles = 2 × 6 = 12 units²

Total Area of the trapezoid = (Area of rectangle) + (Area of the two triangles)

= 30 + 12 = 42 units²

Hope this Helps!!!

3 0
3 years ago
If you invest $1000 at an interest rate of 2.5% compounded continuously, calculate how many years. How long will it take for you
11Alexandr11 [23.1K]

Answer:

It will take about 27.7 years

Step-by-step explanation:

* Lets talk about the compound continuous interest

- Compound continuous interest can be calculated using the formula:  

 A = P e^rt  

• A = the future value of the investment, including interest

• P = the principal investment amount (the initial amount)

• r = the interest rate  

• t = the time the money is invested for

- The formula gives you the future value of an investment,  

  which is compound continuous interest plus the  principal.  

- If you want to calculate the compound interest only, you need

 to deduct the principal from the result.  

- So, your formula is:

 Compounded interest only = Pe^(rt)  - P

* Now lets solve the problem

∵ The invest is $ 1000

∴ P = 1000

∵ The interest rate is 2.5%

∴ r = 2.5/100 = 0.025

- They ask about how long will it take to make double the investment

∴ A = 2 × 1000 = 2000

∵ A = P e^(rt)

∴ 2000 = 1000 (e)^(0.025t) ⇒ divide both sides by 1000

∴ 2000/1000 = e^(0.025t)

∴ 2 = e^(0.025) ⇒ take ln for both sides

∴ ln(2) = ln[e^(0.025t)]

∵ ln(e)^n = n

∴ ln(2) = 0.025t ⇒ divide both sides by 0.025

∴ t = ln(2)/0.025 = 27.7 years

* It will take about 27.7 years

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that is the answer

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