1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Len [333]
3 years ago
8

Professor Perozo needs to read 24 reports this week. Each report is 63 pages long. She wants to read the same number of pages ea

ch evening. How many pages should professor Reeder plan to read each evening?
Mathematics
1 answer:
Nata [24]3 years ago
6 0
The total number of pages is 1512 and assuming it is a 7 day week 1512/7 gives 216 pages. The answer is that the professor needs to read 216 pages each night to finish in a week
You might be interested in
Let f be defined by the function f(x) = 1/(x^2+9)
riadik2000 [5.3K]

(a)

\displaystyle\int_3^\infty \frac{\mathrm dx}{x^2+9}=\lim_{b\to\infty}\int_{x=3}^{x=b}\frac{\mathrm dx}{x^2+9}

Substitute <em>x</em> = 3 tan(<em>t</em> ) and d<em>x</em> = 3 sec²(<em>t </em>) d<em>t</em> :

\displaystyle\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\frac{3\sec^2(t)}{(3\tan(t))^2+9}\,\mathrm dt=\frac13\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\mathrm dt

=\displaystyle \frac13 \lim_{b\to\infty}\left(\arctan\left(\frac b3\right)-\arctan(1)\right)=\boxed{\dfrac\pi{12}}

(b) The series

\displaystyle \sum_{n=3}^\infty \frac1{n^2+9}

converges by comparison to the convergent <em>p</em>-series,

\displaystyle\sum_{n=3}^\infty\frac1{n^2}

(c) The series

\displaystyle \sum_{n=1}^\infty \frac{(-1)^n (n^2+9)}{e^n}

converges absolutely, since

\displaystyle \sum_{n=1}^\infty \left|\frac{(-1)^n (n^2+9)}{e^n}\right|=\sum_{n=1}^\infty \frac{n^2+9}{e^n} < \sum_{n=1}^\infty \frac{n^2}{e^n} < \sum_{n=1}^\infty \frac1{e^n}=\frac1{e-1}

That is, ∑ (-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ converges absolutely because ∑ |(-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ| = ∑ (<em>n</em> ² + 9)/<em>e</em>ⁿ in turn converges by comparison to a geometric series.

5 0
3 years ago
7/5=x/3 solve proportion
-BARSIC- [3]
Cross-multiply: 7 * 3 = 5 * x Divide each side by 5 : X = 7 * 3 / 5 = 4.2
6 0
3 years ago
Read 2 more answers
Which group of numbers are all prime?
Nana76 [90]
C

This is because none of the numbers can be divided by any number other than themselves or 1.
5 0
2 years ago
PLEASE HELP!!!!<br><br>Math Homework
Finger [1]

You need to add the second number and the answer to get your answer

A. 2

B.6

D.5

F.4

G. 3


8 0
3 years ago
Can someone please write five paragraphs and a hook of why kids should sleep in more
Vlad1618 [11]

Answer:

Sleep is undoubtedly one of the most essential requirements for the human body to function properly. It plays a very important role in ensuring the wellness of the human body, both physically as well as mentally. In fact, the importance of sleep is clear from the fact that it helps you with maintaining a good lifestyle throughout your entire lifetime. Not only does it help you maintain your physical and mental health, it also helps in maintaining a decent and healthy lifestyle along with ensuring safety from a number of fatal diseases.

It is usually said that the mood in which you wake up is largely dependent on the type of sleep you have been in. This, in itself, is proof of the importance of sleep in our lives. While sleeping, our body finally gets its share of rest, and it also gets ample time to rejuvenate from all the wear and tear that it went through during the entire day. Not only this, the body is in its own working condition when we are sleeping, as this is the time when it supports the healthy functioning of the brain as well as physical attributes of our body. How many times have you been suffering from a headache, and then you slept for some time and found the pain to have vanished? This is the effect that a sound sleep session has on your mind as well as body.

Sleep is not only important for grown-up individuals and people who go to work, but it is also very essential for small babies and children in their growing-up years, as well. In small children, sleep supports the growth as well as development of their minds and bodies, and hence is a non- negotiable activity necessary for all human beings.

Sleep is undoubtedly one of the most essential requirements for the human body to function properly. It plays a very important role in ensuring the wellness of the human body, both physically as well as mentally. In fact, the importance of sleep is clear from the fact that it helps you with maintaining a good lifestyle throughout your entire lifetime. Not only does it help you maintain your physical and mental health, it also helps in maintaining a decent and healthy lifestyle along with ensuring safety from a number of fatal diseases.

It is usually said that the mood in which you wake up is largely dependent on the type of sleep you have been in. This, in itself, is proof of the importance of sleep in our lives. While sleeping, our body finally gets its share of rest, and it also gets ample time to rejuvenate from all the wear and tear that it went through during the entire day. Not only this, the body is in its own working condition when we are sleeping, as this is the time when it supports the healthy functioning of the brain as well as physical attributes of our body. How many times have you been suffering from a headache, and then you slept for some time and found the pain to have vanished? This is the effect that a sound sleep session has on your mind as well as body.

Sleep is not only important for grown-up individuals and people who go to work, but it is also very essential for small babies and children in their growing-up years, as well. In small children, sleep supports the growth as well as development of their minds and bodies, and hence is a non- negotiable activity necessary for all human beings.

3 0
2 years ago
Read 2 more answers
Other questions:
  • 1/6 the sum of 16 and 20
    5·2 answers
  • What is the point slope form of the line with slope −14 that passes through the point (−2, 9) ?
    15·1 answer
  • SOMEONE PLEASE HELP ME ASAP PLEASE!!​
    6·1 answer
  • Jimmy has decided to limit his spending to $175 per day. His roundtrip airfare is $1750. How many days can he travel if he can s
    10·1 answer
  • What is the variance of the following data? If necessary, round your answer to two decimal places.12, 13, 8, 13, 9, 11, 12, 9, 1
    15·1 answer
  • a cube-shaped box has a volume of 125 cubic inches. if a box is packed full of cubes with edge lengths of 1 inch how many cubes
    14·1 answer
  • Erica purchased adult and youth tickets for a movie. She bought x adult tickets for $7 each and y youth tickets for $5. Write an
    7·2 answers
  • (2 1/3 + 1 2/5) + 3 2/3
    15·1 answer
  • If each exterior angle of a regular polygon is 30°, find how many sides the polygon has &amp; the measure of an
    6·2 answers
  • F(x) = 3x^2 - 7 4x^2 – 3 Find f(2)​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!