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Artist 52 [7]
3 years ago
13

If f(x) = √ x + 11, what is f (20)?

Mathematics
1 answer:
mylen [45]3 years ago
8 0

Answer:

2sqrt(5)+11

Step-by-step explanation:

f(x)=sqrt(x)+11

f(20)=sqrt(20)+11

f(20)=sqrt(4*5)+11

f(20)=sqrt(4)*sqrt(5)+11

f(20)=2*sqrt(5)+11

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Determine whether the series is convergent or divergent by expressing sn as a telescoping sum (as in Example 8). [infinity] 6 n2
vekshin1

Answer:

Step-by-step explanation:

given

\sum\limits^\infty_{n=3}\frac{6}{n^2-1}=\sum\limits^\infty_{n=3}\frac{6}{(n-1)(n+1)}\\\\=\sum\limits^\infty_{n=3}\frac{6}{2}(\frac{1}{n-1}-\frac{1}{n+1})\\\\=\frac{6}{2}\sum\limits^\infty_{n=3}(\frac{1}{n-1}-\frac{1}{n+1})\\\\=3[(\frac{1}{2}-\frac{1}{4})+(\frac{1}{3}-\frac{1}{5})+(\frac{1}{4}-\frac{1}{6})+(\frac{1}{5}-\frac{1}{7})+...]\\\\=3[\frac{1}{2}+\frac{1}{3}]=3[\frac{3+2}{6}]=3[\frac{5}{6}]\\\\=\frac{15}{6}=\frac{5}{3}

5 0
3 years ago
Roberto buys a toy for $5.00. He then sells it for $4.60. Calculate his percentage loss.
s2008m [1.1K]

Answer:

8 percent loss

Step-by-step explanation:

8 0
2 years ago
Original price: $20 Discount %: 35%
dangina [55]

Answer:

$13 or $7 off

Step-by-step explanation:

20-35%=13

So that means that it is $7 off and it is now $13

4 0
3 years ago
The LCM of 2 numbers is 60 and 1 of the numbers is 7 less than the other number. What are the numbers?
Phoenix [80]
Let's represent the two numbers by x and y.  Then xy=60.  The smaller number here is x=y-7.

Then (y-7)y=60, or y^2 - 7y - 60 = 0.  Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:

discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191.  Because the discriminant is positive, this equation has two real, unequal roots, which are
        -(-7) + sqrt(191)
y = -------------------------
             -2(1)

and 

        -(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
             -2(1)

Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.


Try thinking this way:  If the LCM is 60, then xy = 60.  What would happen if x=5 and y=12?  Is xy = 60?  Yes.  Is 5 seven less than 12?  Yes.






5 0
3 years ago
What is the value of x?
butalik [34]

Answer:

it should be 47

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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