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Bad White [126]
3 years ago
6

An ocean wave is represented by cosine curve, where the time it takes to go from its crest highest point to its lowest point is

four seconds what is the period
Mathematics
1 answer:
Nata [24]3 years ago
7 0

Answer:

8 s

Step-by-step explanation:

The time, t it takes the wave to move from its crest highest point to its lowest point is half of its period, T.

That is t = T/2

Given that t = 4 s, and making T subject of the formula, we have

T = 2t

Substituting t = 4 s into T, we have

T = 2t

T = 2 × 4 s

T = 8 s

So, its period is 8 s

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Joseph has 48 comic books. He sold one-fourth of his collection to his friend. He brought twice the number of comic books as he
Tresset [83]

Answer:

108

Step-by-step explanation:

Given that Joseph has 48 comic books.

As he sold 1/4 of his collection to his friend, so

The number of books, Josef sold = 1/4 x 48 = 12.

The number of remaining books, Josef has = 48 - 12 = 36.

As he brought twice the number of comic books as he has now, so,

the number of comic books, Josef brought = 2 x 36 = 72.

Now, total number of comic books, Josef has = 36 + 72 = 108.

6 0
3 years ago
Sinplify this expression -3(10x+4y)+6(6x-2y)
ad-work [718]

Answer:

6x-24y

Step-by-step explanation:

Step 1: -30x-12y+36x-12y

Distribute-3 to 10x and 4y

Then distribute 6 to 6x and -2y

Step 2: 6x-24y

After that add up like terms

3 0
3 years ago
What is the domain of the relation?<br><br> Express your answer using inequalities.
son4ous [18]

Answer:

-6<x<0

  -    -

Step-by-step explanation:

make them less than or equal to signs, I don't know how to do that on a computer, I hope I am correct

point one on the left is -6, point 2 on the right is 0 (in terms of the x-axis, that's what domain is )

when there is arrows in the graph, the x/y is always in the middle.

Good luck! Hope I'm not late!

8 0
3 years ago
Read 2 more answers
A cat requires a 3 mL injection of a 0.5% solution. How many milligrams will it receive per injection?
Kay [80]
<h2>Hello!</h2>

The answer is: 15mg

<h2>Why?</h2>

0.5% means that there are 0.5 grams per 100 mL,  and a 0.5 grams are equal to 500 milligrams.

So, to calculate how many milligrams will be received per injection, we need to make the following calculations:

3mL*\frac{500mg}{100mL}=15mg

Have a nice day!

7 0
3 years ago
Read 2 more answers
If p is inversely proportional to the square of q, and p is 25 when q is 3, determine p
ArbitrLikvidat [17]

Answer:

p = 9 when q = 5.

Step-by-step explanation:

p is inversely proportional to the square of q

This means that:

p = \frac{k}{q^2}

In which k is a constant multiplier.

p is 25 when q is 3

We use this to find k.

p = \frac{k}{q^2}

25 = \frac{k}{3^2}

k = 25*9 = 225

So

p = \frac{225}{q^2}

Determine p when q is equal to 5.

p = \frac{225}{q^2} = \frac{225}{5^2} = 9

p = 9 when q = 5.

6 0
3 years ago
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