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OleMash [197]
2 years ago
12

A performer in a circus is fired from a cannon as a ``human cannonball'' and leaves the cannon with a speed of 16.4 m/s. The per

former's mass is 82.6 kg. The cannon barrel is 9.29 m long. Find the average net force exerted on the performer while he is being accelerated inside the cannon.
Mathematics
1 answer:
ladessa [460]2 years ago
3 0

Answer:

1195.22N.

Step-by-step explanation:

Mass: m =82.6 kg

Velocity: v= 16.4m/sec.

Distance: d = 9.29 metres.

Acceleration = (v²/2d) = (16.4²/18.58) = 14.47m/sec².

Force = (mass x acceleration) = (82.6 x 14.47) = 1195.22N.

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On Saturday, the vacation resort offers a discount on water sports. To take
MakcuM [25]

Answer:

Let x be the discounting price of a surfing lessons per person

Let y be the discounted price of a surfing lessons per person

The cost of taking a surfing lesson and go parasailing is $130

x + y = 130--------------(i)

25 people take

Surfing lessons, and 30 people go parasailing and a total of $3,650 is collected

25x + 30y = 3650--------------(ii)

We solve for y using equ (i):

y = 130 - x ------------(iii)

Substitute equ (iii) to equ (ii) and solve for x

25x + 30(130 - x) = 3650

25x + 390 - 30x = 3650

-5x = -250

-x = 50

We solve for y using equ (iii):

y = 130 - x

y = 130 - 50

y = 80

So, the discounted price to take a surfing lesson is $50 and the discounted price to go parasailing is $80

3 0
2 years ago
Find the dicontinuities of the function.
elena-s [515]

Answer:

Step-by-step explanation:

I'm assuming you meant to type in

f(x)=\frac{x^2+12x+27}{x^2+4x+3} because you can only have removable discontinuities where there is a rational (fraction) function. Begin by factoring both the numerator and denominator to

f(x)=\frac{(x+3)(x+9)}{(x+1)(x+3)} and cancelling out like terms would have us eliminating the (x + 3). That is where there is a removable discontinuity. It leaves a hole. The other discontinuity, (x + 1) doesn't cancel out so it is a non-removable discontuinity, which is a vertical asymptote.

The removable discontinuity is at -3. There is no y value at x = -3 (remember there's only a hole here), because -3 causes the denominator to go to 0 and we all know that having a 0 in the denominator of a fraction is a big no-no!!!

5 0
3 years ago
Anna would like to purchase a new bike that costs $205. She already has $31 saved. If she saves a maximum of $12 a week, the fol
Dmitrij [34]

Answer:

It will take at least 15 weeks

Step-by-step explanation:

12w+31 ≥ 205

Subtract 31 from each side

12w+31-31 ≥ 205-31

12w ≥ 174

Divide each side by 12

12w/12 ≥ 174/12

w ≥ 14.5

Rounding up to the nearest integer

w ≥ 15

It will take at least 15 weeks

5 0
3 years ago
Read 2 more answers
SOMEONE PLEASE HELP ME ASAP PLEASEEE!!!​
JulsSmile [24]

Answer:

m-9

Step-by-step explanation:

12-9= 3

14-9= 5

18-9= 9

27-9= 18

4 0
2 years ago
Read 2 more answers
Find the value of e in the equation: sin 0 = = -1
julsineya [31]

Answer:

-1

Step-by-step explanation:

its just -1beacuse I did it

7 0
2 years ago
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