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
stiv31 [10]
3 years ago
15

there were 445 non-fiction books but 83 went missing and 45 were transferred to another Library how many non-fiction books are t

here
Mathematics
1 answer:
xxTIMURxx [149]3 years ago
3 0

Answer:

317 non-fiction books

Step-by-step explanation:

1. Start with 445

2. Then subtract 83 from 445

3. Should get 362

4. After subtract 45 from 362

5. Should get 317

You might be interested in
Identify the median and the lower quartile for this box plot 16,16.5,15.5,
MArishka [77]
The median should be 16
8 0
3 years ago
Read 2 more answers
A metal cylinder can with an open top and closed bottom is to have volume 4 cubic feet. Approximate the dimensions that require
Aleksandr-060686 [28]

Answer:

r\approx 1.084\ feet

h\approx 1.084\ feet

\displaystyle A=11.07\ ft^2

Step-by-step explanation:

<u>Optimizing With Derivatives </u>

The procedure to optimize a function (find its maximum or minimum) consists in :

  •  Produce a function which depends on only one variable
  •  Compute the first derivative and set it equal to 0
  •  Find the values for the variable, called critical points
  •  Compute the second derivative
  •  Evaluate the second derivative in the critical points. If it results positive, the critical point is a minimum, if it's negative, the critical point is a maximum

We know a cylinder has a volume of 4 ft^3. The volume of a cylinder is given by

\displaystyle V=\pi r^2h

Equating it to 4

\displaystyle \pi r^2h=4

Let's solve for h

\displaystyle h=\frac{4}{\pi r^2}

A cylinder with an open-top has only one circle as the shape of the lid and has a lateral area computed as a rectangle of height h and base equal to the length of a circle. Thus, the total area of the material to make the cylinder is

\displaystyle A=\pi r^2+2\pi rh

Replacing the formula of h

\displaystyle A=\pi r^2+2\pi r \left (\frac{4}{\pi r^2}\right )

Simplifying

\displaystyle A=\pi r^2+\frac{8}{r}

We have the function of the area in terms of one variable. Now we compute the first derivative and equal it to zero

\displaystyle A'=2\pi r-\frac{8}{r^2}=0

Rearranging

\displaystyle 2\pi r=\frac{8}{r^2}

Solving for r

\displaystyle r^3=\frac{4}{\pi }

\displaystyle r=\sqrt[3]{\frac{4}{\pi }}\approx 1.084\ feet

Computing h

\displaystyle h=\frac{4}{\pi \ r^2}\approx 1.084\ feet

We can see the height and the radius are of the same size. We check if the critical point is a maximum or a minimum by computing the second derivative

\displaystyle A''=2\pi+\frac{16}{r^3}

We can see it will be always positive regardless of the value of r (assumed positive too), so the critical point is a minimum.

The minimum area is

\displaystyle A=\pi(1.084)^2+\frac{8}{1.084}

\boxed{ A=11.07\ ft^2}

8 0
3 years ago
I need help with this :/
hoa [83]

Answer:

Plz mark me brainliest!!!!

Step-by-step explanation:

0

90

180

270

380

6 0
3 years ago
Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply.
Sav [38]

<u><em>Answer:</em></u>

<u><em /></u>-9(\frac{2}{3}x) + 9(1)\\  \\-6x + 9

<u><em>Explanation:</em></u>

<u>Before we begin, remember the following rules:</u>

<u>1- Distribution property:</u>

<u />a(b+c) = ab+ac

<u>2- Simplification of fractions:</u>

<u />\frac{xy}{yz}=\frac{x}{z}

<u>3- Signs in multiplication:</u>

+ve * +ve = +ve

-ve * -ve = +ve

+ve * -ve = -ve

<u>Now, for the given problem, we have:</u>

<u></u>9 (\frac{2}{3}x + 1)

<u>Starting with the distributive property:</u>

<u />-9 (\frac{2}{3}x +1) =  -9(\frac{2}{3}x) - (-9)(1) = -9(\frac{2}{3}x) + 9(1)

..................>This corresponds to option 1

<u>Now, we simplify the output from the above step:</u>

<u />-9(\frac{2}{3}x) + 9 = \frac{-9*2}{3}x + 9 = -6x+9

................> This corresponds to option 5

Hope this helps :)

4 0
3 years ago
Read 2 more answers
Write −0.312 as a fraction in simplest form.
ZanzabumX [31]

Answer:

-39/125

needs more characters

6 0
3 years ago
Read 2 more answers
Other questions:
  • PLZ HELP 20 POINTS
    13·2 answers
  • A number, n, is multiplied by negative 5/8. The product is negative 0.4. What is the value of n?
    13·2 answers
  • What is the area of a right triangle with the given vertices?
    11·2 answers
  • What function equation is represented by the graph?
    7·1 answer
  • Susie divided 9-POUND bag of apples into 5 equal piles. how many pounds of apples are in each pile
    8·1 answer
  • Find 3 consecutive odd numbers where the product of the smaller two numbers is 22 less than the square of the largest number.
    13·1 answer
  • Please help thanks <br> evaluate this expression for these number: a = 2 b = 4 c = 3 c - a
    15·1 answer
  • What are slope and y intercept of the graph of the linear function shown above ?
    12·1 answer
  • Due in 2 hours PLLLEAAASEE giving brainiest to whoever answers right first!!!!!!!!
    14·1 answer
  • What is the mean of each question?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!