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BabaBlast [244]
3 years ago
10

Find the value of f'(4) when f(x)=5/3x^3/2+8x^1/2

Mathematics
1 answer:
Gala2k [10]3 years ago
5 0
To figure this out plug in 4 for x

f(4)=5/3(4)^3/2+8(4)^1/2 = 5/3(8) + 8(2)
= 5/3 x 8 + 16 = 40/3 +16 = 88/3

Hope this helps!
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25 is the correct answer
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Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

7 0
2 years ago
I need a answer to 77.5% of 13.270​
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Answer:

10.28425

Step-by-step explanation:

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Why is a right equilateral triangle impossible?
Tom [10]
Because in an equilateral triangle all angles should measure 60 degrees otherwise all sides would not be equal.
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3 years ago
PLEASE HELP ASAP!! I will give brainliest
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Answer:

Part A: Data summary is given in the table

Part B: out of the total 100 students, 15 students do not like either tennis or track

\frac{15}{100}  = 0.15

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Part C:

Total no. of students that dislike track = 60

Total no. of students that dislike tennis = 40

According to the survey results, more people dislike track.

6 0
3 years ago
Read 2 more answers
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