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irga5000 [103]
2 years ago
7

Please help … will mark brainliest

Mathematics
1 answer:
vlada-n [284]2 years ago
4 0

Answer:

k = 3

Step-by-step explanation:

Expanding the first term, we find 1/x at 10(kx)²(1/x)³ = 10k²/x

Expanding the first term, we find 1/x at 8*1⁷(-2/x)¹ = -16/x

Then

10k² - 16 = 74

k = 3

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Fundamental theorem of calculus<br> <img src="https://tex.z-dn.net/?f=g%28s%29%3D%5Cint%5Climits%5Es_6%20%7B%28t-t%5E4%29%5E6%7D
mr_godi [17]

Answer:

\displaystyle g'(s) = (s-s^4)^6

Step-by-step explanation:

The Fundamental Theorem of Calculus states that:
\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt  \right] = f(x)

Where <em>a</em> is some constant.

We can let:
\displaystyle g(t) = (t-t^4)^6

By substitution:

\displaystyle g(s) = \int_6^s g(t)\, dt

Taking the derivative of both sides results in:
\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]

Hence, by the Fundamental Theorem:

\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\  & = (s-s^4)^6\end{aligned}

3 0
2 years ago
Write<br> 17/3<br> as a mixed number.<br> O A. 3<br> O-B. 3<br> © C.53<br> O D. 53
IRINA_888 [86]

Answer:

5 2/3

Step-by-step explanation:

15 ÷ 3 = 5.

with 2 leftover, you will have 2/3

5 + 2/3 = 5 2/3

<em>Good Luck!</em>

<em>-kiniwih426</em>

3 0
3 years ago
Read 2 more answers
Two numbers are greater than 10 but les than 40. Their GCF is 17. What are the numbers?
shusha [124]
The numbers are 17 and 34.
8 0
3 years ago
Solving by elimination <br> -6x+6y=6 -6x+3y=-12
labwork [276]
So elimination method is basically adding the equations and canceling out variables. 
-6x + 6y = 6
-6x + 3y = -12
The eaiest way to solve is by multiplying the bottom equation by -1.
-6x + 6y = 6
 6x - 3y = 12
Now you add the eqautions.
3y = 18
Divde 3 from both sides.
y = 6
Now plug in 6 into any of the original two equations. Lets use the first one.
-6x + 6(6) = 6
-6x + 36 = 6
Subtract 36 from both sides.
-6x = -30
Divide -6 from both sides.
x = 5
So your solution is (5, 6).
I hope this helps love! :)
8 0
2 years ago
Katie jogged a total distance of 8 and 1 over 2 miles during the months of January and February. If Katie only jogged 1 over 4 m
sattari [20]

Answer:

the correct answer is....

C) 8 and 1 over 2 + 1 over 4

Hope this helps!!!! :)

**(Bojana)**

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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