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maksim [4K]
3 years ago
7

Which of the following is the correct expanded form for the series below?

Mathematics
1 answer:
Daniel [21]3 years ago
3 0

Answer: Option A is correct  that is 1 +1+\frac{1}{2} +\frac{1}{6}

Explanation:

we will substitute the values of n in given expression

\sum_{n=1}^{4}\frac{n}{n!}

when substituting n=1 we get  in \sum_{n=1}^{4}\frac{n}{n!}=\frac{1}{1!}

when n=2  we get \frac{2}{2!}

when n =3 we get \frac{3}{3!}=\frac{3}{6}=\frac{1}{2} ;3 factorial that is 3! = 3 *2*1 = 6

when n=4 we get  \frac{4}{4!}=\frac{4}{24}=\frac{1}{6};4! = 4*3*2*1 = 24

Note: factorial means the product of the terms getting multiplied  till 1

suppose n! will be equal to n(n-1)(n-2)(n-3).......1




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Please help me !!!!!!
cestrela7 [59]

Given:

The set of pair and graphs.

To find:

The domain and range.

Solution:

We know that,

Domain is the set of x-values or input values.

Range is the set of y-values or output values.

(a)

The given set of ordered pairs is

{(-3,3),(5,5),(-3,2),(5,3)}

Here, the x-coordinates are -3, 5, -3, 5.

A set contains distinct values.

Therefore, the domain is {-3,5}.

(b)

The graph is given.

From the given graph the set of ordered pairs is

{(-2,1),(-1,0.5),(-1,3),(0,0),(0,2),(1,0.5),(1,3)(2,1)}

Here, the y-values are 1, 0.5, 3, 0, 2, 0.5, 3, 1.

Therefore, the range is {0, 0.5, 1, 2, 3}.

(c)

The graph is given.

From the given graph the set of ordered pairs is

{(-2,3),(-1,3),(0,1),(2,4)}

Here, the x-values are -2, -1,0, 2.

Therefore, the domain is {-2,-1,0,2}.

4 0
3 years ago
Express the set of real numbers between but not including 2 and 5 as follows.
Mashcka [7]
2 < x < 5

i think this is the answer
7 0
3 years ago
Round 8.96278650871 to the nearest millionth.
Andru [333]

the answer is 8.962790 because it is rounded to the nearest millionth

I hope this helps you

5 0
3 years ago
Last Tuesday was silly hat day at Toby's school. 74 students wore a silly hat and 666 students did not. What percentage of the s
valina [46]

Answer:

10%

Step-by-step explanation:

The total population of students will be equal to the sum of both those who wore the silly hat and those who didn't hence

Total students= 74+666=740

Number of students who wore silly hat is given as 74 hence when expressed as a percentage of the total students' population we get that

percentage of the students wore a silly hat=\frac {74\times 100}{740}=10\%

Therefore, 10% of students wore a silly hat last Tuesday

4 0
3 years ago
Can someone help me with this question?
KonstantinChe [14]
-3. Put the two equation equal to each other and solve. 
4x+18=2x+12
-2x=-2x 
2x+18=12 
-18=-18 
2x=-6 
2x/2=-6/2
x=-3
8 0
3 years ago
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