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3 years ago

1 pound is closest in weight to which one of the following Metric units of weight?

Mathematics

1 answer:

timama [110]3 years ago

8 0

Answer:

Step-by-step explanation:

To convert 1 pounds to its meteric unit in weight, we need to first convert it to kilogram. Using the conversion 1pound = 0.453592 kg

Since Weight of a substance = mass of the substance * acceleration due to gravity

W = mg

Given mass = 0.453592kg and g = 9.8m/s²

Weight = 4.4452016 Newtons

1 pounds is therefore closest to 4.5 units metric of weight

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Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively. Pl

kicyunya [14]

Hello,

$u_{0} =a\\
 u_{1} =a*r\\
 u_{2} =a*r^{2}=-6\\
 u_{3} =a*r^{3}\\
 u_{4} =a*r^{4}\\
 u_{5} =a*r^{5}=162\\
....\\
\boxed{ u_{n} =a*r^{n}} \\

\dfrac{ 162}{-6} = \dfrac{ u_{5} }{ u_{3}} = \dfrac{ a*r^{5}}{ a*r^{2}} =r^3= -27\\
==\ \textgreater \ r=-3\\

 u_{2} =a*r^{2}=-6=a*(-3)^2 \ ==\ \textgreater \ a=-\frac{6}{9} =-\frac{2}{3}\\


\boxed{ u_{n} =-\frac{2}{3}*(-3)^{n}=(-1)^{n+1}*2*3^{n-1}} \\

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3 years ago

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Ian needs to save at least $85.00 for a new pair of basketball shoes. He has $25.00 in his piggy bank, and can save $12.00 from

sweet [91]

Answer:

x = 6; 6 weeks

Step-by-step explanation:

Hi!!

Okay, so here is the equation needed to solve:

85.00 = 25.00 + 12.00x

Subtract 25 from both sides

85 -25 = 25 - 25 + 12x

Then, you get:

55 = 12x

Divide 55 by 12

55/12 =x

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Hope this helps!

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3 years ago

Find the slope from points (9,-13), (7,-11)? <br> That’s what my question is

k0ka [10]

Answer:

Step-by-step explanation:

The entered points belong to an increasing, linear function.

Equation: y = 1x + 4.

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3 years ago

A police officer seals off the scene of an accident using a roll of yellow tape that is 272 feet long. What dimensions should be

klasskru [66]

Answer:

68 feet square

Step-by-step explanation:

The rectangle with the maximum area for a given perimeter is a square. The perimeter of a square is 4 times the side length, so the side length of the square area will be ...

(272 ft)/4 = 68 ft

_____

<em>More formally ...</em>

You can let x represent the length of one side. Then the length of the other side for the given perimeter will be 136 -x, and the area will be the product ...

area = x(136 -x)

The area function is a quadratic with zeros at x=0 and x=136. The vertex (maximum area) will be at the value of x that is on the line of symmetry between these points, at their midpoint: x = (0 +136)/2 = 68. This value of x makes the rectangle a square.

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3 years ago

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ehidna [41]

Answer:

the answer should be C

Step-by-step explanation:

the gradient of C is -1/3 that perpendicular to the question

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