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labwork [276]
3 years ago
9

Identify which of the following variables are discrete and which are continuous: a. Number of warts on a toad b. Survival time a

fter poisoning c. Temperature of porridge d. Number of bread crumbs in 10 meters of trail e. Length of wolves’ canines
Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0

Answer:

1. Number of warts on a toad ⇒ <em>discrete  variable</em>

2. Survival time after poisoning ⇒ <em>continuous  variable</em>

3. Temperature of porridge ⇒ <em>continuous  variable</em>

4. Number of bread crumbs in 10 meters of trail ⇒ <em>discrete  variable</em>

5. Length of wolves’ canines ⇒ <em>continuous variable</em>

A discrete variable is the one which takes over range of real number, for a value in range that variables are permitted to take, there is minimum distance to nearest permissible value. In contrast, continuous variables are the one which can take infinitely many values.  

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Evaluate lim x→∞ (3x+1)^(4/x), using l'hospital's rule as needed. show all work using proper notation. as you show your work, if
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\displaystyle\lim_{x\to\inty}(3x+1)^{4/x}=\lim_{x\to\infty}e^{\ln(3x+1)^{4/x}}=e^{\lim\limits_{x\to\infty}\ln(3x+1)^{4/x}}

\displaystyle\lim_{x\to\infty}\ln(3x+1)^{4/x}=\lim_{x\to\infty}\frac{4\ln(3x+1)}x\stackrel{\mathrm{LHR}}=\lim_{x\to\infty}\frac{4\frac3{3x+1}}1=\lim_{x\to\infty}\frac{12}{3x+1}=0

\implies\displaystyle\lim_{x\to\infty}(3x+1)^{4/x}=e^0=1
4 0
4 years ago
If m rst = 70, m qst = 2x, and m qsr = 3x-10 what is the m qsr
Anna [14]

Answer:

m qsr = 62°

Step-by-step explanation:

From my understanding, the question states 3 angles of a triangle

All 3 angles of a triangle are equal to 180°.

<u>Step 1: Find x</u>

<em>70 + 2x + 3x - 10 = 180°</em>

<em>70 + 5x - 10 = 180</em>

<em>5x = 180 - 60</em>

<em>x = 120/5</em>

x = 24°

<u>Step 2: Find angle qsr</u>

<em>m qsr = 3x - 10</em>

<em>m qsr = 3(24) - 10</em>

m qsr = 62°

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4 0
3 years ago
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Answer:

-365

Step-by-step explanation:

-3x+7(-6-50)

  1. -3(-9)+7(-6-50)
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4 years ago
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Can I get some help please?
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X=-6

Hope I have been of assistance!
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4 years ago
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