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Nitella [24]
3 years ago
13

There are □ terms in the sequence 1,2,2

Mathematics
1 answer:
Kobotan [32]3 years ago
4 0

There are exactly 81 terms in the sequence.

Start counting with 1 (like non-computer people).

First term is 1=2^0.

Second term is 2=2^1.

Third term is 2^2.

Fourth term is 2^3.

In general the i-th term is 2^{i - 1}.

Hope this helps :)

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Hector works 12 hours per week at a part time job. His original pay rate was $8 per hour, but he recently received a raise of x
Olegator [25]

Answer:

x = \frac{8}{3}

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

128=12(8+x)

128=(12)(8)+(12)(x)(Distribute)

128=96+12x

128=12x+96

Step 2: Flip the equation.

12x+96=128

Step 3: Subtract 96 from both sides.

12x+96−96=128−96

12x=32

Step 4: Divide both sides by 12.

\frac{12x}{12} =\frac{32}{12}

x=8/3

7 0
3 years ago
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What is the constant of proportionality of 3y = 27x
Misha Larkins [42]

Answer:

9

Step-by-step explanation:

3y = 27x

We want to find k  when y = kx

Divide each side by 3

3y/3 = 27x/3

y = 9x

The constant of proportionality is 9

3 0
4 years ago
This rational expression is nonequivalent. 5x / 25x^4 ; x^3 / 5x^15<br> True or false?????
FromTheMoon [43]

It is nonequivalent. Figure it out this way. Think about what number has to be multiplied by both the numerator and the denominator of \frac{5x}{25x^4} to get to \frac{x^3}{5x^15}. It has to be the samee number for the one expression to be equivalent to the other. To get from 5x to x^3, we have to multiply by 1/5x^2. When we do that we get x^3. Good. Now we have to multiply the denominator by the same thing, 1/5x^2. 25x^4(\frac{1}{5}x^2)=5x^6. As you can see, they are not equivalent.

8 0
3 years ago
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What are the solutions of the equation x^4 + 6x^2 + 5 = 0? Use u substitution to solve.
Radda [10]

Answer:

second option

Step-by-step explanation:

Given

x^{4} + 6x² + 5 = 0

let u = x², then

u² + 6u + 5 = 0 ← in standard form

(u + 1)(u + 5) = 0 ← in factored form

Equate each factor to zero and solve for u

u + 1 = 0 ⇒ u = - 1

u + 5 = 0 ⇒ u = - 5

Change u back into terms of x, that is

x² = - 1 ( take the square root of both sides )

x = ± \sqrt{-1} = ± i ( noting that \sqrt{-1} = i ), and

x² = - 5 ( take the square root of both sides )

x = ± \sqrt{-5} = ± \sqrt{5(-1)} = ± \sqrt{5} × \sqrt{-1} = ± i\sqrt{5}

Solutions are x = ± i and x = ± i\sqrt{5}

3 0
3 years ago
A gas grill originally priced at 399 is on sale for 30% off
DanielleElmas [232]

Answer:

Step-by-step explanation:

a = -32

2. x=−3/2 ( which also equals -1.5)

7 0
3 years ago
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