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Vitek1552 [10]
3 years ago
9

HELLO!!! Please tell me that somebody knows how to do this. I don’t have a clue. Thank you so much❤️❤️❤️

Mathematics
1 answer:
xenn [34]3 years ago
3 0

For question one, the easiest way to start is with t=0, so, everything inside the sine function will equal 0, and sin(0) is 0, so that is our starting point. Then, consider the following:

sin(pi/2) = 1

sin(pi) = 0

sin(3pi/2) = -1

sin(2pi) = 0

(You need to know the unit circle)

Then, we see that t=4 is a solution since the 4 times a half is 2, exactly what we need for 2 (pi). Also because it goes around the unit circle.

Problem 2 you just need the period formula. It is [2pi / b] and b is the number in front of t. So we get (2pi / (2pi / 15)). Simplifying leads to 30pi over 2pi which is just 15. Thus the period is 15 units

Lastly, Problem 3 asks for the inverse of a period since the frequency is 1 over the period. Applying the method from the last problem:

2pi / 524pi which simplifies to 1 over 262 is the period.

Now flipping 1 over 262 gives the frequency, which is just 262 by itself

Hope this long explanation helped

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LCM of x<sup>2</sup>+5x+6 and x<sup>2</sup>-x-6 is ………………………
sergejj [24]

Answer:

(x^2 - 9)(x + 2)

Step-by-step explanation:

Given:

x^2 + 5x + 6

x^2 - x - 6

Required:

LCM of the polynomials

SOLUTION:

Step 1: Factorise each polynomial

x^2 + 5x + 6

x^2 + 3x + 2x + 6

(x^2 + 3x) + (2x + 6)

x(x + 3) + 2(x + 3)

(x + 2)(x + 3)

x^2 - x - 6

x^2 - 3x +2x - 6

x(x - 3) + 2(x - 3)

(x + 2)(x - 3)

Step 2: find the product of each factor that is common in both polynomials.

We have the following,

x^2 + 5x + 6 = (x + 2)(x + 3)

x^2 - x - 6 = (x + 2)(x - 3)

The common factors would be: =>

(x + 2) (this is common in both polynomials, so we would take just one of them as a factor.

(x + 3) and,

(x - 3)

Their product = (x - 3)(x + 3)(x +2) = (x^2 - 9)(x + 2)

4 0
3 years ago
What’s is the constant of proportionality in the equation y=5/4x
marshall27 [118]
5/4 is the constant of proportionality
7 0
3 years ago
Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, trave
USPshnik [31]

Answer:

Julio travel <u>3 hours</u> by biking and <u>4 hours</u> by walking.

Step-by-step explanation:

Given:

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.

If the total trip to the park took 7 hours and it was 52 miles away.

Now, to find the time Julio travel at each speed.

The speed travelled by the bike = 8 mph.

The speed travelled by the walking = 7 mph.

Let the time Julio travel with bike be x.

And the time Julio travel by walking be y.

As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,

Thus, the total time taken:

x+y=7

y=7-x\ \ \ .......(1)

So, the distance travelled by bike:

Speed × time

8\times x=8x

And, the distance travelled by walking:

Speed × time

7\times y=7y

Now, the total distance travelled by Julio:

8x+7y=52

Substituting the value of x from equation (1) we get:

8x+7(7-x)=52

8x+49-7x=52\\\\x+49=52

<em>Subtracting both sides by 49 we get:</em>

x=3.

<em>The time Julio travelled with bike = 3 hours.</em>

Now, to get the time Julio travelled by walking by substituting the value of x:

y=7-x\\\\y=7-3\\\\y=4\ hours.

<em>The time Julio travelled by walking = 4 hours.</em>

Therefore, Julio travel 3 hours by biking and 4 hours by walking.

7 0
3 years ago
What is the GCF and LCM of -21 and 80? Please Help! Explanation Please! :)
Gekata [30.6K]

Answer:

It's on ur most recent version of this question

3 0
3 years ago
Mrs. Cooper has $20 can she buy a museum tickets for 10 year old daughter a ticket for a self and a book that cost 3.99? Explain
Sladkaya [172]

No, because then she would have to pay 21 dollars  as a total and she only has 20.

Add adult plus Child,

5.75 + 11.25 = 17

add that to the book's price,

17+3.99= 2.99

it will exceed the budget by 99 cents.

7 0
2 years ago
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