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nataly862011 [7]

2 years ago

7

A medication bottle contains a total of 900mg of liquid medication. The client stated that he accidentally spilled 1/3 of the me

dication this morning. This means that _mg of the
medication was lost.

1 answer:

Alja [10]2 years ago

7 0

Answer:

300 mg

Step-by-step explanation:

900 mg spilled 1/3

1/3 * 900 = 900/3 = 300mg lost

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The student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup

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3 years ago

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For the function f(x) = x + 9, find (f o f-1)(5) A. 14 B. 5 C. -5 D. 25

Alex Ar [27]

F-1:
y=x+9
y-9=x
x-9=f-1
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5 0

3 years ago

Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x

egoroff_w [7]

Answer:

$y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where <em>m</em> is the slope and <em>b</em> is the y-intercept.

Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)

<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

$y = 1 -2x$

Rearrange into slope-intercept form:

$y = -2x+1$

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of $\displaystyle\frac{1}{2}$ . Plug this into $y=mx+b$ :

$y=\displaystyle\frac{1}{2} x+b$

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

$y=\displaystyle\frac{1}{2} x+b$

Plug in the given point (1,3) and solve for <em>b</em>:

$3=\displaystyle\frac{1}{2} *1+b\\\\b=\displaystyle \frac{5}{2}$

Therefore, the y-intercept is $\displaystyle \frac{5}{2}$ . Plug this back into $y=\displaystyle\frac{1}{2} x+b$ :

$y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}$

I hope this helps!

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harkovskaia [24]

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