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3 years ago

Write True or False. The transformation is a reflection. True or False

Mathematics

1 answer:

Jet001 [13]3 years ago

3 0

Answer:

False

Step-by-step explanation:

This transformation is a rotation. If it were a reflection the moon shape would be at a 180 degree flip but instead is at a 90 degree rotation.

Hope this helped!

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Suppose that 5 J of work is needed to stretch a spring from its natural length of 36 cm to a length of 51 cm. (a) How much work

olganol [36]

Answer:

a) 0.6 joules of work are needed to stretch the spring from 41 centimeters to 46 centimeters.

b) The spring must be 5.6 centimeters far from its natural length.

Step-by-step explanation:

a) The work done to stretch the ideal spring from its natural length is defined by the following definition:

$W = \frac{1}{2}\cdot k\cdot (x_{f}-x_{o})^{2}$ (1)

Where:

$k$ - Spring constant, measured in newtons.

$x_{o}$ , $x_{f}$ - Initial and final lengths of the spring, measured in meters.

$W$ - Work, measured in joules.

The spring constant is: ( $W = 5\,J$ , $x_{o} = 0.36\,m$ , $x_{f} = 0.51\,m$ )

$k = \frac{2\cdot W}{(x_{f}-x_{o})^{2}}$

$k = \frac{2\cdot (5\,J)}{(0.51\,m-0.36\,m)^{2}}$

$k = 444.44\,\frac{N}{m}$

If we know that $k = 444.44\,\frac{N}{m}$ , $x_{o} = 0.41\,m$ and $x_{f} = 0.46\,m$ , then the work needed is:

$W = \frac{1}{2}\cdot \left(444.44\,\frac{N}{m} \right)\cdot (0.46\,m-0.41\,m)^{2}$

$W = 0.555\,J$

0.6 joules of work are needed to stretch the spring from 41 centimeters to 46 centimeters.

b) The elastic force of the ideal spring ( $F$ ), measured in newtons, is defined by the following formula:

$F = k\cdot \Delta x$ (2)

Where $\Delta x$ is the linear difference from natural length, measured in meters.

If we know that $k = 444.44\,\frac{N}{m}$ and $F = 25\,N$ , then the linear difference is:

$\Delta x = \frac{F}{k}$

$\Delta x = \frac{25\,N}{444.44\,\frac{N}{m} }$

$\Delta x = 0.056\,m$

The spring must be 5.6 centimeters far from its natural length.

3 0

3 years ago

One of the factory’s profits over time can be modeled with the polynomial p(x)=2x6+123.5x4+389x2−25x5−304.75x3−237.25x+53.5.

Anettt [7]

p(x)=2x^6+123.5x^4+389x^2−25x^5−304.75x^3−237.25x+53.5

put in decreasing order

p(x)=2x^6−25x^5+123.5x^4−304.75x^3+389x^2−237.25x+53.5.

the leading coefficient is the number in front of the largest exponent

leading coefficient:2

degree is the power on the largest exponent

degree:6

3 0

4 years ago

BRAINLIEST FOR CORRECT ANSWER ASAP

astra-53 [7]

Answer:

A. 3x3x3x3 = 81 because you multiply 3 by itself 4 times

6 0

3 years ago

Read 2 more answers

Interpreting Solutions:

Darina [25.2K]

We have that
solution is
x <-10 or x>=25

for
x < -10
the solution is the interval (-∞, -10)

and
for
x>=25
the solution is the interval [25,∞)

therefore
the solution for
x <-10 or x>=25
is
(-∞, -10) ∪ [25,∞)

<span>the solution is any value of x less than -10 or greater than or equal to 25</span>

6 0

3 years ago

Read 2 more answers

What are the sine and cosine of 4π/3?

nignag [31]

Answer:

See below.

Step-by-step explanation:

Sin (4π/3) = -sqrt(3)/2

Cos(4π/3) = -1/2

5 0

3 years ago