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Vesnalui [34]
3 years ago
12

Write an expression, using an exponent, that is equivalent to 8\times8\times8\times8 .

Mathematics
1 answer:
weqwewe [10]3 years ago
3 0

Answer:

8^3

Step-by-step explanation:

8*8*8 is equivalent to 8^3 which equals a total of 512 units

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Answer:

In 5040 ways.

Step-by-step explanation:

To solve this problem we will use combination without repetition which means:

C ( n k) = (n₁ k₁) (n₂ k₂) (n₃ k₃) = (4 3)  (9 2)  (7 3) =

(4 · 3 · 2 / 3 · 2 · 1) (9 · 8 / 2 · 1) (7 · 6 · 5 / 3 · 2 · 1) = 4 · 36 · 35 = 5040

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What is linear equation?<br> What is quadratic equation?
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Please help answer the math question below
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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
maxonik [38]

Answer:

5.0 ft-lbf

Step-by-step explanation:

The force is

F = \dfrac{9}{6^x}

This force is not a constant force. For a non-constant force, the work done, <em>W</em>, is

W = \int\limits^{x_2}_{x_1} {F(x)} \, dx

with x_1 and x_2 the initial and final displacements respectively.

From the question, x_1  =0 and x_2 = 12.

Then

W = \int\limits^{12}_0 {\dfrac{9}{6^x}} \, dx

Evaluating the indefinite integral,

\int\limits \dfrac{9}{6^x} \, dx  =9 \int\limits\!\left(\frac{1}{6}\right)^x \, dx

From the rules of integration,

\int\limits a^x\, dx = \dfrac{a^x}{\ln a}

9 \int\limits \left(\frac{1}{6}\right)^x \, dx = 9\times\dfrac{(1/6)^x}{\ln(1/6)} = -5.0229\left(\dfrac{1}{6}\right)^x

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\left.-5.0229\left(\dfrac{1}{6}\right)^x\right|^{12}_0 = -5.0229(0.1667^{12} - 0.1667^0) = 5.0229 \approx 5.0 \text{ ft-lbf}

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3 years ago
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