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SSSSS [86.1K]
3 years ago
12

h.) How many different ways can Johnny place an algebra book, a geometry book, a chemistry book, an English book, and a health b

ook on a shelf?​
Mathematics
1 answer:
Nady [450]3 years ago
7 0

Answer:

5!

Step-by-step explanation:

take algebra book. it can be placed first or 2nd or 3rd or 4th or last. so 5 different ways. but geometry book will be arranged in 4 ways, since algebra book is already arranged.

5p5

5!/0!= 5! = 120

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Mark works as a librarian and makes $16.75 per hour. He gets paid time-and-a-half for overtime. How much will he make if he work
MakcuM [25]

Answer:

$871.00

Step-by-step explanation:

4 0
3 years ago
Find the height of a cylinder with a volume of 1408 cubic feet and a radius of 8 feet
storchak [24]

Height of cylinder = h = 7.006 feet

Step-by-step explanation:

<u>We are given:</u>

Volume of cylinder = 1408 cubic feet

Radius = 8 feet

<u>We need to find:</u>

Height of cylinder = ?

<u>Formula used:</u>

Volume = \pi r^2h

Putting values in the formula and finding height:

Volume = \pi r^2h\\1408=3.14*(8)^2*h\\1408=3.14*64*h\\1408=200.96*h\\h=\frac{1408}{200.96}\\h=7.006\,\,feet

So, Height of cylinder = h = 7.006 feet

Keywords: Volume of cylinder

Learn more about Volume of cylinder at:

  • brainly.com/question/6443737
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  • brainly.com/question/3306327

#learnwithBrainly

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3 0
3 years ago
Is Integer a Rational Number?
slava [35]

Hey there!

Before we get to know an Integer and Rational Number, we have to know the Real Number system first.

1. What is Real Number System?

  • Real Number System is very commonly used in mathematics. It is a number system that is "logical", at least when it comes to solving an equation.

But do you know that the Real Number system can be broken into two categorizes? And what are them?

Real Numbers can be broken into these main two categorizes which are:

  • Irrational Number
  • Rational Number

These numbers can also be broken into other categorizes as well! Crazy, ain't it? Well that's how maths work!

Anyways, we will skip Irrational Number since it is off-topic and not related to your question. We will talk about Rational Number instead.

2. What is Rational Number?

  • Rational Number is a number that can be written in fraction form. That is a simple explanation for the Rational Number. Please lecture or note that <u>a</u><u>p</u><u>p</u><u>r</u><u>o</u><u>x</u><u>i</u><u>m</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u>s</u><u> </u><u>a</u><u>r</u><u>e</u><u>n</u><u>'</u><u>t</u><u> </u><u>c</u><u>o</u><u>n</u><u>s</u><u>i</u><u>d</u><u>e</u><u>r</u><u>e</u><u>d</u><u> </u><u>a</u><u>s</u><u> </u><u>r</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u>a</u><u>l</u><u> </u><u>n</u><u>u</u><u>m</u><u>b</u><u>e</u><u>r</u><u>s</u><u>.</u> Even though π ≈ 22/7 which is in fraction form but it is just an approximation which is considered as <em>I</em><em>r</em><em>r</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em>a</em><em>l</em><em> </em><em>N</em><em>u</em><em>m</em><em>b</em><em>e</em><em>r</em><em>.</em> Also <u>i</u><u>f</u><u> </u><u>i</u><u>n</u><u>f</u><u>i</u><u>n</u><u>i</u><u>t</u><u>y</u><u>/</u><u>e</u><u>n</u><u>d</u><u>l</u><u>e</u><u>s</u><u>s</u><u> </u><u>d</u><u>e</u><u>c</u><u>i</u><u>m</u><u>a</u><u>l</u><u> </u><u>c</u><u>a</u><u>n</u><u> </u><u>b</u><u>e</u><u> </u><u>w</u><u>r</u><u>i</u><u>t</u><u>t</u><u>e</u><u>n</u><u> </u><u>i</u><u>n</u><u> </u><u>f</u><u>r</u><u>a</u><u>c</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>f</u><u>o</u><u>r</u><u>m</u><u> </u><u>a</u><u>s</u><u> </u><u>w</u><u>e</u><u>l</u><u>l</u><u>,</u><u> </u><u>t</u><u>h</u><u>e</u><u>y</u><u> </u><u>a</u><u>r</u><u>e</u><u> </u><u>c</u><u>o</u><u>n</u><u>s</u><u>i</u><u>d</u><u>e</u><u>r</u><u>e</u><u>d</u><u> </u><u>a</u><u>s</u><u> </u><u>R</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u>a</u><u>l</u><u> </u><u>N</u><u>u</u><u>m</u><u>b</u><u>e</u><u>r</u><u> </u><u>t</u><u>o</u><u>o</u><u>!</u>

Now we know the meaning of Rational Number. But like I said, the Rational Number can be broken into other categorizes which are:

  • Integers - Whole number or number without fraction or decimal.
  • Fractions and Decimals that can be written in fraction form.

And Integers can also be broken into:

  • Negative Integers
  • Zero
  • Positive Integers

3. Conclusion and Answer

  • Since Integers are subset of Rational Number, we can conclude that <u>I</u><u>n</u><u>t</u><u>e</u><u>g</u><u>e</u><u>r</u><u>s</u><u> </u><u>a</u><u>r</u><u>e</u><u> </u><u>R</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u>a</u><u>l</u><u> </u><u>N</u><u>u</u><u>m</u><u>b</u><u>e</u><u>r</u><u>.</u>

Hope this helps, and let me know if you have any doubts regarding Real Number system.

6 0
3 years ago
Determine whether each sequence appears to be an arithmetic
Gnoma [55]
It’s not arithmetic
3 0
3 years ago
The equation y minus 1 = negative 7 (x minus 3). is written in point-slope form. What is the y-intercept of the line?
Tresset [83]

Answer:

(0, 22)

Step-by-step explanation:

So you have the equation:

y-1=-7(x-3)

So first let's define what the "y-intercept" is. The y-intercept, of a line is like the name implies, when the line intercepts or "passes" the y-axis. And if you were to take any point on the y-axis, the y-value may vary, but there is one value that doesn't change, and that's the x-value. the x-value is always going to be zero, no matter where you are on the y-axis. So to find the y-intercept simple plug 0 in as x. This gives you the equation:

y-1 = -7(0-3)

y-1 = -7(-3)

y-1=21

y=22

So the y-intercept is at (0, 22)

7 0
2 years ago
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