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Kobotan [32]
3 years ago
9

Work out 4 1/7 + 1 1/2

Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
6 0
5 9/14? I hope this helped :)
Novay_Z [31]3 years ago
6 0

Step-by-step explanation:

Exact Form:

159

14

Decimal Form:

11.35714285

…

Mixed Number Form:

11

5

14

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At what point does the curve have maximum curvature? y = 9 ln(x) (x, y) =
Andrews [41]

y = 9ln(x) 
<span>y' = 9x^-1 =9/x</span>
y'' = -9x^-2 =-9/x^2

curvature k = |y''| / (1 + (y')^2)^(3/2) 

<span>= |-9/x^2| / (1 + (9/x)^2)^(3/2) 
= (9/x^2) / (1 + 81/x^2)^(3/2) 
= (9/x^2) / [(1/x^3) (x^2 + 81)^(3/2)] 
= 9x(x^2 + 81)^(-3/2). 

To maximize the curvature, </span>

we find where k' = 0. <span>
k' = 9 * (x^2 + 81)^(-3/2) + 9x * -3x(x^2 + 81)^(-5/2) 
...= 9(x^2 + 81)^(-5/2) [(x^2 + 81) - 3x^2] 
...= 9(81 - 2x^2)/(x^2 + 81)^(5/2) 

Setting k' = 0 yields x = ±9/√2. 

Since k' < 0 for x < -9/√2 and k' > 0 for x > -9/√2 (and less than 9/√2), 
we have a minimum at x = -9/√2. 

Since k' > 0 for x < 9/√2 (and greater than 9/√2) and k' < 0 for x > 9/√2, 
we have a maximum at x = 9/√2. </span>

x=9/√2=6.36

<span>y=9 ln(x)=9ln(6.36)=16.66</span>  

the answer is
(x,y)=(6.36,16.66)
7 0
3 years ago
Find the measures of angles S and T in the triangle below.
tigry1 [53]
Answer:

60 degrees

Step-by-step explanation:

The type of triangle we’re looking at is a equilateral triangle meaning all sides and all angle measures measure the exact same thing.

With all this information, angle S and T measure 60*
•••••••••••••••••••••••••••••••
doomdabomb: All brainliest
and thanks are appreciated
and would mean a lot to me,
Thanks!
5 0
2 years ago
A countertop is 16 feet long and 3 feet wide. what is the area of the countertop in square meters
Paladinen [302]

The area of the countertop is (16-ft x 3-ft) = 48 feet² .

1 foot = 0.3048 meter (rounded)

(1 foot)² = (0.3048 meter)² = 0.0929 meter²

48 feet² = (48 x 0.0929) =  4.459 meter² (rounded)

8 0
3 years ago
Can you help me with these too?<br> its for a geometry final practice<br> plisss
Rainbow [258]

Answer:

I think A and C

Step-by-step explanation:

Im srry if its wrong, but my older sister says that its A and C

6 0
3 years ago
Read 2 more answers
What is the slope of the line.
Mamont248 [21]

Answer:

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Step-by-step explanation:

6 0
2 years ago
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