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scoundrel [369]
3 years ago
13

How do you do this question?

Mathematics
1 answer:
LiRa [457]3 years ago
3 0

Step-by-step explanation:

arctan(x) is less than π/2 for x > 0.  Therefore, if we say g(x) = 13 (π/2) / eˣ, then f(x) < g(x) for all values of x > 0.

g(x) = 13 (π/2) / eˣ

g(x) = 13π/2 · (1/e)ˣ

So g(x) is a geometric series where r = 1/e.  Since |r| < 1, the series converges.

Since g(x) converges, the smaller f(x) also converges.

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A hockey puck has a diameter of 3 inches and rolls on its edge for 24 rotations. How far did it roll before falling flat?
scoundrel [369]

Find the circumference of the puck using circumference = pi x diameter

Circumference = 3.14 x 3 = 9.42 inches.

For every rotation the puck would travel 9.42 inches.

Now multiply y by 24 rotations:

9.42 x 24 = 226.08 inches.

Answer: 226.08 inches

4 0
3 years ago
A company that makes​ hair-care products had 8,000 people try a new shampoo. Of the 8,000 ​people, 32 had a mild allergic reacti
Yuri [45]

Answer:

i think it 0.4%

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
PLZ HELP <br> Which polynomial is written in standard form?
kotykmax [81]
I’m pretty sure it looks like it’s D
4 0
3 years ago
Rewrite f(x) into vertex form by completing the square f(x)=−x2+8x+9​
GalinKa [24]

Answer:

vertex  = ( 4  ,  25 )

Step-by-step explanation:

given a parabola in  standard form  y =  a x 2 + b x + c x ; a ≠ 0

then the x-coordinate of the vertex is

X vertex=-b/2a

y=-x2+8x+9 with a=-1 b=8 c=9

X vertex= -8/-2=4

substitute the value on the equation

Y vertex = -(4)squared+8(4)+9=25

3 0
2 years ago
You have two nickels three dimes and a quarter. Using at least one of each coin, how many different amounts of money can you mak
Slav-nsk [51]
2 nickels (5 cents each)
3 dimes (10 cents each)
1 quarter (25 cents)

1 nickel, 1 dime, 1 quarter
5 + 10 + 25 = 40

2 nickels, 1 dime, 1 quarter
5(2) + 10 + 25 = 45

1 nickel, 2 dimes, 1 quarter
5 + 10(2) + 25 = 50

1 nickel, 3 dimes, 1 quarter
5 + 10(3) + 25 = 60

2 nickels, 2 dimes, 1 quarter
5(2) + 10(2) + 25 = 55

2 nickels, 3 dimes, 1 quarter
5(2) + 10(3) + 25 = 65

You can make 6 different amounts. 
You could also find this by multiplying however many coins you have all together.
2 * 3 * 1 = 6
6 0
3 years ago
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