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4 years ago

Can some one help me with this math problem?

Mathematics

1 answer:

N76 [4]4 years ago

6 0

19 quarts. 1 gallon equals 4 quarts.

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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

A triangle has two sides that are 4 inch and 10inch what could be the length of the third side of the triangle

Vlad1618 [11]

Answer:

The length of the third side is both more than six and less than 14

Step-by-step explanation:

8 0

3 years ago

Three cards are randomly drawn from an ordinary deck of playing cards without replacement .What is the probability the first car

saveliy_v [14]

$|\Omega|=52\cdot51\cdot50=132,600\\
|A|=13\cdot51\cdot50=33,150\\\\
P(A)=\dfrac{33,150}{132,600}=\dfrac{1}{4}=25\%$

8 0

3 years ago

How to draw a quadrilateral

Sergeu [11.5K]

You could draw a square, rectangle, parallelogram, and other shapes that make four sides or more.

4 0

3 years ago

-2/7 multiply by -5 2/3

lukranit [14]

Answer:

1.61904761905

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers