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Helga [31]
3 years ago
7

" class="latex-formula">
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
4 0

Answer:

Simplified from: 2^⅔

4^⅓

(2²)^⅓

2^⅔

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X/3=-3 can someone help me
laiz [17]

Answer:

x = - 9

Step-by-step explanation:

Given

\frac{x}{3} = - 3 ( multiply both sides by 3 to clear the fraction )

x = - 9

7 0
3 years ago
Determine whether the random variable is discrete or continuous. a. The number of statistics students now reading a book. b. The
andrey2020 [161]

Answer:

Continuous random variables: c and e

Discrete random variables: a, b, d  

Step-by-step explanation:

We have to identify whether the random variable is discrete or continuous.

  • A discrete variable is a variable whose value is obtained by counting.
  • A continuous random variable X takes all values in a given interval of numbers.
  • Thus, a continuous variable can have values in decimals but a discrete random variable cannot take values in decimals.

a. The number of statistics students now reading a book.

Discrete random variable since number of students cannot take decimal values.

b. The number of textbook authors now sitting at a computer.

Discrete random variable since number of textbooks cannot be expressed in decimals but counted.

c. The exact time it takes to evaluate 27 plus 72.

It is a continuous random variable as it may take all values within an interval of time.

d. The number of free dash throw attempts before the first shot is made.

It is a discrete random variable since the number of throws can always be whole number.

e. The time it takes to fly from City Upper A to City Upper B.

Time is a continuous random variable.

6 0
3 years ago
Use​ l'Hôpital's Rule to find the following limit. ModifyingBelow lim With x right arrow 0StartFraction 3 sine (x )minus 3 x Ove
steposvetlana [31]

Answer:

\lim_{x \to 0} \frac{3sinx-3x}{7x^3}=-\frac{1}{14}

Step-by-step explanation:

The limit is:

\lim_{x \to 0} \frac{3sinx-3x}{7x^3}=\frac{0}{0}

so, you have an indeterminate result. By using the l'Hôpital's rule you have:

\lim_{x \to 0} \frac{a(x)}{b(x)}= \lim_{x \to 0} \frac{a'(x)}{b'(x)}

by replacing, and applying repeatedly you obtain:

\lim_{x \to 0} \frac{3sinx-3x}{7x^3}= \lim_{x \to 0}\frac{3cosx-3}{21x^2}= \lim_{x \to 0}\frac{-3sinx}{42x}= \lim_{x \to 0}\frac{-3cosx}{42}\\\\ \lim_{x \to 0} \frac{3sinx-3x}{7x^3}=\frac{-3cos0}{42}=-\frac{1}{14}

hence, the limit of the function is -1/14

8 0
3 years ago
Sanjay and Felipe are putting together a 500-piece puzzle. Sanjay could do the entire puzzle by himself in 6 hours, while it wou
Nata [24]

What is the time it takes Sanjay to complete the puzzle? 6 hours

What is the time it takes Felipe to complete the puzzle? 8 hours


We can use the general formula of rate and time to solve this problem. Generally we have,

<em><u>Rate * Time = Work/Job</u></em>

<em>** where Work/Job for this problem is 1 since they are doing 1 work, which is solving a puzzle</em>


  • <u>Finding rate of Sanjay:</u>

R(6)=1\\R=\frac{1}{6}

  • <u>Finding rate of Felipe:</u>

R(8)=1\\R=\frac{1}{8}


Working together, their rate is the sum,

Total Rate = \frac{1}{6} + \frac{1}{8} = \frac{7}{24}.


Using the general formula again, we can find the time it will take to solve the puzzle when both works together.

(\frac{7}{24})T=1\\ T=\frac{1}{\frac{7}{24}}= \frac{24}{7} = 3.43 hours

Rounding the answer, we have 3.4 hours.


ANSWER: 3.4 hours


6 0
3 years ago
Read 2 more answers
At the skate park, a new concrete ramp is built
Zina [86]

Answer:

1,080

Step-by-step explanation:

Hope this helps

6 0
3 years ago
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