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svetoff [14.1K]
3 years ago
12

You started this year with $485 saved and continue to save $13 per month. Write an equation to model this situation (use m for m

onths and s for saving
Mathematics
2 answers:
jeka943 years ago
7 0

Answer: 485 + 13m = s

pogonyaev3 years ago
3 0

I believe the correct equation is

s(m)=13m+485

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Which is the correct simplified form of the expression? (HELP)
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The answer should be option C! I think? I hope it helps :)
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3 years ago
Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan 1/2 θ
mrs_skeptik [129]

Answer:

Step-by-step explanation:

If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant.  But maybe you don't know it isn't and it's a "trick" to throw you off.  Hmm...

Anyways, the half angle identity for tangent is

tan(\frac{\theta}{2})=\frac{sin\theta}{1+cos\theta}

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.  

If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5.  That makes the missing side, by Pythagorean's Theorem, -3.  Filling in our formula:

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{1+(-\frac{4}{5}) } which simplifies a bit to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{5}{5} -\frac{4}{5} }  and a bit more to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{1}{5} }

Bring up the lower fraction and flip it to divide to get

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-3.  Choice A.

6 0
3 years ago
Twins issac and isaiah were just born issac weighs 6 pounds 2 ounces and isaiah weighs 5 pounds 4 ounces.How many ounces do issa
Ivanshal [37]

Answer: 11\ \text{pounds}\ 6\ \text{ounces}

Step-by-step explanation:

Given

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Isaiah weighs

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Their combined weight is

\Rightarrow 6+5+\dfrac{2}{16}+\dfrac{4}{16}\\\\\Rightarrow 11+\dfrac{6}{16}\ or\\\\\Rightarrow 11\ \text{pounds}\ 6\ \text{ounces}

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adoni [48]
Antonio tiene 5 y Juan tiene 20
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The correlation coefficient r between an employee’s age, x, and yearly salary, y, is 0.633. What percent of the variation in yea
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Answer:

The answer is 40.1%

Step-by-step explanation:

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