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2 years ago

Julio believes that the quotient of 6 divided by 1/2 = 3. Explain Julios error and tell how to find the correct answer.

Mathematics

1 answer:

Gnom [1K]2 years ago

8 0

Answer:

it can be written as 6/1 divided by 1/2

then you'll use the keep, switch, flip method. keep 6/1, switch division to multiplication, and flip 1/2 to become 2/1 or 2

now your equation is 6 x 2 = 12

Julio did 6 divided by 2. which could've been fixed if he changed the division sign to multiplication and multiplied

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Write an equation of the cosine function with amplitude pi/2 and period 3

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Answer:

$y = \frac{\pi}{2}cos(\frac{2\pi}{3}x)$

Step-by-step explanation:

Given

$Amplitude = \frac{\pi}{2}$

$Period = 3$

Required

Write the equivalent cosine function

The general formula is:

$y = acos(bx)$

Where

$amplitude = |a|$

$period = \frac{2\pi}{b}$

Substitute $\frac{\pi}{2}$ for amplitude in $amplitude = |a|$

$|a| = \frac{\pi}{2}$

$a = \frac{\pi}{2}$

Substitute 3 for period in $period = \frac{2\pi}{b}$

$\frac{2\pi}{b} = 3$

Multiply both sides by b

$2\pi = 3b$

Divide through by 3

$b = \frac{2\pi}{3}$

Hence;

$y = acos(bx)$ becomes

$y = \frac{\pi}{2}cos(\frac{2\pi}{3}x)$

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3 years ago

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Answer:

(6m)-8

Step-by-step explanation:

alegabra

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3 years ago

What is a rational number

Hoochie [10]

A rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator

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3 years ago

A square steel bar has a length of 5.1 ft and a 2.7 in by 2.7 in cross section and is subjected to axial tension. The final leng

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Answer:

The Poisson's ratio for the material is 0.0134.

Step-by-step explanation:

The Poisson's ratio ( $\nu$ ), no unit, is the ratio of transversal strain ( $\epsilon_{t}$ ), in inches, to axial strain ( $\epsilon_{a}$ ), in inches:

$\nu = -\frac{\epsilon_{t}}{\epsilon_{a}}$ (1)

$\epsilon_{a} = l_{a,f}-l_{a,o}$ (2)

$\epsilon_{t} = l_{t,f}-l_{t,o}$ (3)

Where:

$l_{a,o}$ - Initial axial length, in inches.

$l_{a,f}$ - Final axial length, in inches.

$l_{t,o}$ - Initial transversal length, in inches.

$l_{t,f}$ - Final transversal length, in inches.

If we know that $l_{a,o} = 61.2\,in$ , $l_{a,f} = 61.235\,in$ , $l_{t,o} = 2.7\,in$ and $l_{t,f} = 2.69953\,in$ , then the Poisson's ratio is:

$\epsilon_{a} = 61.235\,in - 61.2\,in$

$\epsilon_{a} = 0.035\,in$

$\epsilon_{t} = 2.69953\,in - 2.7\,in$

$\epsilon_{t} = -4.7\times 10^{-4}\,in$

$\nu = - \frac{(-4.7\times 10^{-4}\,in)}{0.035\,in}$

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Step-by-step explanation:

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