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2 years ago

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x < 16. Which of the following statements is the best way to describe the value of x? The value of x is less than 16. The val

ue of x is more than 16. The value of x is at most 16. The value of x is at least 16.

2 answers:

Molodets [167]2 years ago

5 0

The value is less than 16

serious [3.7K]2 years ago

4 0

The value is less than 16

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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,

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

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

Returning the limits,

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

4 0

3 years ago

ASAP The rectangle below has been enlarged by a scale of 3.5. A rectangle with a length of 8 and width of 6. [Not drawn to scale

Sergeu [11.5K]

Answer:

588 units^2

Step-by-step explanation:

To find the area of the enlarged rectangle, first find the length and width of the enlarged rectangle.

This is 3.5 multiplied by their original measures:

Length = 3.5 x 8 = 28

Width = 3.5 x 6 = 21

Now, area =. LxW = 588 units^2

Hope this helps

5 0

3 years ago

Read 2 more answers

What is the difference between the absolute value 4 and the absolute value of -3

LUCKY_DIMON [66]

Answer:

1

Step-by-step explanation:

The absolute value of -3 is 3, so 4-3=1

4 0

3 years ago

Each of the four sides of a swimming pool measures 9 meters. The pool is 5 meters deep. How much water will be needed to fill it

iragen [17]

The volume of the rectangular prism is equal to length times width times height. Since length and width are equal, the formula includes the squaring of the length. after substitution, the formula is 9^2 * 5 equal to 405 m^3.

So the answer is D. 405 cubic meters

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2 years ago

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Help meeee plsss!!!!!

tangare [24]

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2 years ago