How long does it take the ferris wheel to make one full rotation?h(t)=9sin(20(t-pi/2))+12 , h in metres and t in seconds

Answers

Answer 1

Answer: This is a circular ferris wheel, with diameter of 9 meters, and the axis
mounted 12 meters off the ground. The equation is the height of the
a point that starts out level with the axis, at 't' seconds after the wheel
starts up.

Now here's where things start to go awry:

The period of the revolution is the time it takes for the angle
inside the sine to change by 2pi .

20(t - pi/2) = 2pi

20t - 10pi = 2pi

20t = 12pi

t = 12pi/20 = 1.885 seconds

I can't help it. All I did was the math, and that was bullet-proof.
It was up to whoever wrote the question to guarantee that the
answer makes sense.

For one thing, I don't believe the 'pi/2' belongs inside the parentheses
with the 't'. But even if we take the 'pi/2' out of the parentheses, that
still only makes the period 3.183 seconds, which is still an uncomfortable
number ... especially for the riders.

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Jorge’s monthly bill from his Internet service provider was $25. The service provider charges a base rate of $15 per month plus $1 for each hour that the service is used. Find the number of hours that Jorge was charged for that month.

Answers

Answer:

10 hours for the month

Step-by-step explanation:

What you know: The total amount Jorge was charged for the month was $25

The base rate is $15

He gets charged $1 per each hour

Setting it up:

15+1h=25

(the 15 is the base rate, plus the 1 dollar per hour (h) which both add to the total of 25 dollars for the month)

Subtract 15 from both sides of the equation to get your variable by itself

1h=10

then divide the 1 on both sides to get h (hours) by itself

h=10

And there's your answer, 10 is the number of hours that Jorge was charged for the month

Hopefully this helped :))

Answer:

Step-by-step explanation:

$25 - $15 = $10

and its $1 per hour so the answer is 10hrs

Deon has 10 bikes if he gave 2 away how much does he have

Answers

8 bikes because say you have 10 fingers and you put 2 fingers down than you would have 8

A farmer uses a lever to move a large rock. The force required to move the rock varies inversely with the distance from the pivot to the point the force is applied. A force of 50 pounds applied to the lever 36 inches from the pivot point of the lever will move the rock. Which function models the relationship between f, the amount of force applied to the lever and d the distance of the applied force from the pivot point?

Answers

Answer:f=1800/d Inverse proportion function. Provided f is in pounds & d is in inches.

Step-by-step explanation: the relationship between f & d is inverse proportion.

A constant k has to be derived from the relationship.

If f is inversely proportional to d then f=k(1/d)

K= f X d

= 50 X 36

=> constant K=1800.

A coin is tossed 10 times resulting in 7 heads and 3 tails. The same coin is tossed 1000 times resulting in 510 heads and 490 tails. What is the theoretical probability of getting heads with this coin?A. 51%
B. 70%
C. 50%
D. 49%

Answers

The answer is C. 50%.

The theoretical probability has nothing to do with the experiments. So, we will forget results of the experiment and think about theoretical probability. A coin has two sides - head and tail. The probability to get head is 1/2 = 0.5 = 50%. This is because if you toss the coin and you get head, head is one probability of two probability in total (head and tail). The same situation is with tail. Tail is .one probability of two probability in total (head and tail).

5x + 2y = 7 10x + 4y = 14

Answers

look at them 5x+2y=7
10x+4y=14

divide second euqtion by 2
5x+2y=7
5x+2y=7
they are same

the solution is any oint on the line 5x+2y=7
some points are
(1,1)
(0,3.5)
(1.4,0)
etc
infinitely many

x and y on the left and right both equal 1

Ln(x + 1) − ln(2) = 1