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Gnom [1K]
3 years ago
12

Please help and thank you

Mathematics
1 answer:
ycow [4]3 years ago
4 0

Answer:

D) 130 workers

Step-by-step explanation:

We have the equation, <em>y = 2x + 40</em>, and <em>y, 300</em> (since the y-coordinate represents the # of bottles made), so we can solve for x, <em>the number of workers needed</em>.

Substitute: <em>300 = 2x + 40</em>

Subtract: <em>260 = 2x</em>

Divide: <em>x = 130</em>

Since x = 130 when y = 300, 130 workers are required to make 300 bottles in a day.

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The answer was 1,150.0 but as a whole number its 1,150.

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3 years ago
First Identify the Angle relationship, then solve for x.
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Corresponding Angles Theorem

x = -5

Step-by-step explanation:

Since they are corresponding angles, they are equal to each other.

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3 years ago
One number is six more than the other number . thesum of their squares is 90
Andreyy89

Answer:

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1 year ago
Find the exact length of the curve. x=et+e−t, y=5−2t, 0≤t≤2 For a curve given by parametric equations x=f(t) and y=g(t), arc len
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The length of a curve <em>C</em> parameterized by a vector function <em>r</em><em>(t)</em> = <em>x(t)</em> i + <em>y(t)</em> j over an interval <em>a</em> ≤ <em>t</em> ≤ <em>b</em> is

\displaystyle\int_C\mathrm ds = \int_a^b \sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2} \,\mathrm dt

In this case, we have

<em>x(t)</em> = exp(<em>t</em> ) + exp(-<em>t</em> )   ==>   d<em>x</em>/d<em>t</em> = exp(<em>t</em> ) - exp(-<em>t</em> )

<em>y(t)</em> = 5 - 2<em>t</em>   ==>   d<em>y</em>/d<em>t</em> = -2

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\displaystyle\int_0^2 \sqrt{\left(e^t-e^{-t}\right)^2+(-2)^2} \,\mathrm dt = \int_0^2 \sqrt{e^{2t}-2+e^{-2t}+4}\,\mathrm dt

=\displaystyle\int_0^2 \sqrt{e^{2t}+2+e^{-2t}} \,\mathrm dt

=\displaystyle\int_0^2\sqrt{\left(e^t+e^{-t}\right)^2} \,\mathrm dt

=\displaystyle\int_0^2\left(e^t+e^{-t}\right)\,\mathrm dt

=\left(e^t-e^{-t}\right)\bigg|_0^2 = \left(e^2-e^{-2}\right)-\left(e^0-e^{-0}\right) = \boxed{e^2-\frac1{e^2}}

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3 years ago
Stephanie has a photo album with 500 pages each photo takes up 1/3 of a page how many photos can she put in the album
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166 2/3 hope this helps

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