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nata0808 [166]
3 years ago
10

Graph 14x+34y=1 pretty please with a cherry on top!Also thank-you

Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0
To make it much easier, it should be converted to the slope-intercept form
 y = mx + b

To do so, 14x + 34y = 1 turns to:
34y = -14x + 1

Divide both sides by 34:
\frac{34y}{34} =  \frac{-14}{34} x +  \frac{1}{34}
Simplified:
y = \frac{-7}{17} x + \frac{1}{34}

Answer: y = -\frac{7}{17} x + \frac{1}{34}
Here is the graph:




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A gas measuring 525 mL is collected at 104.66 kPa. What volume does this gas
Olegator [25]

Recall the ideal gas law:

<em>P V</em> = <em>n R T</em>

where

<em>P</em> = pressure

<em>V</em> = volume

<em>n</em> = number of gas molecules

<em>R</em> = ideal gas constant

<em>T</em> = temperature

If both <em>n</em> and <em>T</em> are fixed, then <em>n R T</em> is a constant quantity, so for two pressure-volume pairs (<em>P</em>₁, <em>V</em>₁) and (<em>P</em>₂, <em>V</em>₂), you have

<em>P</em>₁ <em>V</em>₁ = <em>P</em>₂ <em>V</em>₂

(since both are equal to <em>n R T </em>)

Solve for <em>V</em>₂ :

<em>V</em>₂ = <em>P</em>₁ <em>V</em>₁ / <em>P</em>₂ = (104.66 kPa) (525 mL) / (25 kPa) = 2197.86 mL

3 0
2 years ago
How do I find the maximum profit of -30x2+660x-1500
lina2011 [118]

Answer:

2,130

Step-by-step explanation:

1. solve for x.

x=-\frac{b}{2a}

when ax^{2} +bx+c

x=\frac{-660)}{2(-30)}\\\\x=\frac{-660)}{-60}\\\\x=11

2. place value for X into equation

y=-30x^{2} +660x-1,500\\y=-30(11)^{2} +660(11)-1,500\\y=-30(121)+7,260-1,500\\y=-3,630+7,260-1,500\\y=3,630-1,500\\y=2,130

Maximim profit is 2,130.

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3 years ago
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Alina wants to make some yummy sugar cookies today!
arlik [135]

Answer:

3.2

Step-by-step explanation:

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Please help me on numbers 5-7 thanks
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3 years ago
A 500-page book contains 250 sheets of paper. The thickness of the paper used to manufacture the book has mean 0.08 mm and stand
LenaWriter [7]

Answer:

10.20% probability that a randomly chosen book is more than 20.2 mm thick

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

250 sheets, each sheet has mean 0.08 mm and standard deviation 0.01 mm.

So for the book.

\mu = 250*0.08 = 20, \sigma = \sqrt{250}*0.01 = 0.158

What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)

This is 1 subtracted by the pvalue of Z when X = 20.2. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{20.2 - 20}{0.158}

Z = 1.27

Z = 1.27 has a pvalue of 0.8980

1 - 0.8980 = 0.1020

10.20% probability that a randomly chosen book is more than 20.2 mm thick

7 0
3 years ago
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