To solve this problem you must apply the proccedure shown below:
1. You have that the the polynomial being subtracted is 0.6t²+8-18t, therefore, <span> to find the additive inverse of the polynomial, you must multiply it by -1, as following:
</span>(0.6t²+8-18t)
(-1)(0.6t²+8-18t)
2. Therefore, you obtain the following result:
-0.6t²-8+18t
Then, tas you can see, the answer is -0.6t²-8+18t.
1225.
It is also called 35 squared. It is 35X35
The power is how many times you multiply the number by itself.
To answer this question, we begin to transform the speed of revolutions per minute in radians per minute.
They tell us that the speed of the wheel is 3 turns in 6 minutes.
So:
1 revolution = 2π
(2π / 1 turn) * (3 turns / 6min) = 6π/ 6min = 1π / min.
The wheel turns π or 180 ° in one minute.
We already have the angular velocity w.
We know that the lowest point of the wheel is 4 meters above the ground and that it returns to the same point every 2π
Therefore, the function sought is periodic and must be equal to 4 for allvalues of time k, where k is an even number 2, 4, 6, 8, .., k
Then the function must have the form rsin(wt) where "t" is the elapsed time, "w" is the previously calculated angular velocity, and "r" is the radius of the wheel.
The minimum value of the function must be 4 and the maximum value 54.
Therefore, the function is:
h (t) = 4 + 25 + 25sin (π×t + 3π / 2)
Where 3π/ 2 is the phase angle, which indicates that the movement starts at the instant t = 0 at the lowest point of the wheel that equals 3π / 2.
You can verify the answer in the following way:
After 1 minute, the wheel should have rotated 180 ° or π. Therefore, the person must be at the highest point of the wheel and his height must be 54 m.
When you replace t = 1 in the formula, you get h = 54m
After 2 minutes, the wheel should have rotated 360 ° or 2π. Therefore, the person must be at the starting point and their height must be 4 m.
By replacing t = 2 in the formula you will get h = 4m
After 0.5 minutes, the wheel should have rotated 90 ° or π / 2. Therefore, the person must be in the right half of the wheel and his height must be 29 m.
When replacing t = 0.5 in the formula you will get h = 29m
This could be an adding fractions problem. We can add the two fractions together and then determine how many miles she walked.
9 1
--- + ----
10 3
First, we need to find a common denominator. It would be 30, since this is the smallest number both 3 and 10 go into.
So, after that, we need to multiply each numerator by the number we needed to multiply our denominator by to get to 30.
So, 10 times 3 equals 30. So, we need to multiply 9 by 3 as well, which is 27.
Our new fraction here would be:
27
----
30
Next, to get 30, we need to multiply 3 by 10 to get 30. So, we also need to multiply 1 by 10, which is 10.
Our new fraction would be:
10
---
30
So lets take a look at our new equation.
27 10
--- + ----
30 30
Lets add them together. Remember the denominators need to stay the same:
37
----
30
Now that we have an improper fraction, we need to simplify it. 37 goes into 30 once, and we have 7 left over.
So, our final answer would be:
1 and 7
---- of a mile.
30
