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3 years ago

Does arctan(5n) converge or diverge?

Mathematics

1 answer:

Kryger [21]3 years ago

5 0

I believe they converge. Make sure to mark this as brainliest if I helped! <3

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A rock is thrown upward with a velocity of 17 meters per second from the top of a 31 meter high cliff and it missies the cliff o

Vinvika [58]

Answer:

$4.5\ \text{s}$

Step-by-step explanation:

t = Time taken

u = Initial velocity =17 m/s

v = Final velocity

s = Displacement

a = Acceleration

g = Acceleration due to gravity = 9.81 m/s² = a

$v^2-u^2=2as\\\Rightarrow s=\dfrac{v^2-u^2}{2a}\\\Rightarrow s=\dfrac{0^2-17^2}{2\times -9.81}\\\Rightarrow s=14.73\ \text{m}$

Total height the rock is to fall when it is 8 meters from the ground is $14.73+(31-8)=37.73\ \text{m}$

$v=u+at\\\Rightarrow t=\dfrac{v-u}{a}\\\Rightarrow t=\dfrac{0-17}{-9.81}\\\Rightarrow t=1.73\ \text{s}$

Time taken to reach the maximum height is 1.73 s.

$s=ut+\dfrac{1}{2}at^2\\\Rightarrow 37.73=0+\dfrac{1}{2}\times 9.81t^2\\\Rightarrow t=\sqrt{\dfrac{37.76\times 2}{9.81}}\\\Rightarrow t=2.77\ \text{s}$

Time taken from the maximum height to the point which is 8 m from the ground is 2.77 s.

So, time taken from the moment of the throw to the point 8 m from the ground is $1.73+2.77=4.5\ \text{s}$ .

5 0

3 years ago

7/8 & -8/7 are these line slope perpendicular or parallel or neither

muminat

Answer:

Perpendicular!

Step-by-step explanation:

If they were parallel they would have the exact same slope. If they are perpendicular their slopes would be opposite reciprocals of each other... which they are. Another trick to tell if two slopes are perpendicular is to multiply them by each other and if the answer equals -1 they are perpendicular:

7/8 • -8/7 = -1/1 = -1

7 0

3 years ago

What was John’s age 4 years ago, if he will be z years old in 5 years?

enot [183]

Answer:

z-9

Step-by-step explanation:

Right now, John is z-5. z-5 - 4 is equal to z -9.

5 0

4 years ago

The high temperature in Rockport over the weekend was 55 1/4 °F. Write this as a decimal

Hoochie [10]

55.25 °F
I believe this is right

6 0

3 years ago

The yearly cost in dollars, y, for a member at a video game arcade based on total game tokens purchased, x, is y =x + 60.

lara31 [8.8K]

The yearly cost for a non-member would be : y = 0.20x

8 0

3 years ago

Read 2 more answers