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SCORPION-xisa [38]
3 years ago
7

Why is it important for scientists to state a conclusion?

Mathematics
1 answer:
Olin [163]3 years ago
3 0
D. to clearly state why the experiment was performed
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Calculate the average rate of change of f(x) = x2 - 1 x - 4 for 2 ≤ x ≤ 6.
hoa [83]

Answer:

Hence, the average rate of change is:

\dfrac{97}{12}

Step-by-step explanation:

We are asked to calculate the average value of the function:

f(x)=x^2-\dfrac{1}{x}-4 in 2 ≤ x ≤ 6

The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6  is given as:

\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{f(6)-f(2)}{4}

Now,

f(6)=36-\dfrac{1}{6}-4\\\\f(6)=32-\dfrac{1}{6}\\\\f(6)=\dfrac{191}{6}

f(2)=4-\dfrac{1}{2}-4\\\\\\f(2)=-\dfrac{1}{2}

Hence, the average rate of change is:

\dfrac{\dfrac{191}{6}-\dfrac{-1}{2}}{4}\\\\=\dfrac{194}{6\times 4}\\\\=\dfrac{97}{12}

Hence, the average rate of change is:

\dfrac{97}{12}

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3 years ago
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A Factory produces 24532 bulbs in a month. What is its annual<br> production?
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294, 384

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Solve the equation 4m = 28 for m.<br><br> A. 3<br> B. 4<br> C. 5<br> D. 7
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D 28/4=7 that is the answer for the question
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There are 4 jacks and 13 clubs in a standard, 52-card deck of playing cards. What is the probability that a card picked at rando
Tju [1.3M]

With 4 jacks in the deck of 52, there is a 4/52 = 1/13 probability of drawing 1 jack.

With 13 clubs in the deck, there is a 13/52 = 1/4 probability of drawing 1 card of clubs.

1 of the cards in the deck is both a jack and of suit of clubs, which has a 1/52 probability of being drawn.

P(club OR jack) = P(club) + P(jack) - P(club AND jack) = 13/52 + 4/52 - 1/52 = 16/52 = 4/13

So the answer is B.

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3 years ago
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