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Harrizon [31]
3 years ago
8

A company wants to decrease their energy use by 17%. If their electric bill is currently $2500 a month, what will their bill be

if they are successful
Mathematics
1 answer:
expeople1 [14]3 years ago
8 0
We need to find out how much 17 percent of 2,500 is, and then subtract that amount by 2,500. We can use proportions to use this. We can set up a fraction with x/2500 and another fraction with 17/100. Then, we need to cross multiply. This gives us 42,500. Next, we can divide by 100. This gives us 425. We know that they will save $425 if they decrease their energy use by 17%. We now need to subtract $425 from $2,500. This gives us $2,075. If the company is successful in decreasing their energy use by 17%, their bill would be $2,075.

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If a spring is oscillating (moving) according to the velocity equation v(t) = 2sin(t) (in ft/s), then what is its displacement o
Feliz [49]

ANSWER

4 ft

EXPLANATION

The velocity equation of the oscillating spring is given by the function.

v(t)=2  \sin(t)   \:  \:  {ms}^{ - 1}

To find the displacement function, we need to to Integrate the velocity function.

s(t) = \int \: 2 \sin(t) dt

s(t) =  -  2 \cos(t)  + k

At time t=0, there was no displacement.

This implies that,

s(0) = 0

0=  -  2 \cos(0)  + k

0=  -  2 + k

k = 2

The displacement function then becomes,

s(t) =  -  2 \cos(t)  + 2

To find the displacement over the first π seconds, we put

t = \pi

into the equation for the displacement to get,

s(\pi) =  -  2 \cos(\pi)  + 2

s(\pi) =  -  2 ( - 1)  + 2

s(\pi) =  2  + 2 =4 ft

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3 years ago
Error error error error error
emmainna [20.7K]
Error error error error error error error

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4 years ago
Find the roots of:
Elena-2011 [213]

\large\displaystyle\text{$\begin{gathered}\sf \pmb{1) \  2x^3-7x^2+8x-3=0 } \end{gathered}$}

Synthetic division is used since the equation is of the third degree. The divisors of -3 are 1, -1, 3, +3. So:

  | 2  -7    8  -3

<u>1 |      2   -5   3</u>

  | 2   -5    3  0

<u> 1 |      2     -3   </u>

    2   -3     0

So the factorization is (x-1)² (2x-3)=0. So:

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\large\displaystyle\text{$\begin{gathered}\sf \pmb{2) \  x^3-x^2-4=0 } \end{gathered}$}

Synthetic division is used since the equation is of the third degree. The divisors of -4 are 1, -1, 2, -2, 4, -4. So:

      |  1  -1  0  -4

  <u>2  |     2  2     </u>

         1  2  2  0

So the factorization is (x-2)(x²+x+2)=0 . When calculating the discriminant of the trinomial, it is concluded that it has no roots since the result is negative. So you only have one solution.

                   \bf{ 1^2-4(2)(2)=1-16=-15 < 0 \quad \Longrightarrow \quad x=2 }

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Synthetic division is used since the equation is of the third degree. The divisors of 2 are 1, -1, 2, -2. So:

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<u>-2 |      -12    10     -2</u>

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Tresset [83]

Answer:

$3

Step-by-step explanation:

3 dollars because

1 pound = 16 ounces

and 1 pound costs 1.5 dollars

if there are 32 ounces of broccoli, you divide the number of ounces by 16 and multiply that by 1.5

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