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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

You might be interested in
A tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a
ddd [48]

Answer: R(x) = 0.25x + 500

Flat fee is computed by:

The sales price of each tile is 0.25 and the customer only bought 10,000 tiles.

So, $0.25 x 10,000 = $2500

So the total sales price per tile sold was $2,500.

The buyer paid $3,000, so the flat fee was included there.

So, $3,000 - $2,500 = $500

So the flat fee was $500.

~

The revenue function is the total income from producing the units. And it has a equation of: R(x) = price per unit x number of units sold plus any fee that is included

So the function describing the revenue of the tile from this sale is:

R(x) = 0.25x + 500

8 0
3 years ago
Determine whether the relation describe c as a function of w.
Delicious77 [7]

Answer:

Function:

c = f(w) = 0.49, 0 < w ≤ 1

            = 0.70,  1 < w ≤ 2

            = 0.91, 2 < w ≤ 3

Step-by-step explanation:

Yes, the relation described can be interpreted as a function.

Here, c is the cost of a mail letter. c depends upon w, which is the weights of the mail letter.

As described in the question, the relation can be expressed as a function.

c can be expressed as a function of w in the following manner:

c(cost of mail) = f(w), where w is the independent variable and c is the dependent variable

c = f(w) = 0.49, 0 < w ≤ 1

            = 0.70,  1 < w ≤ 2

            = 0.91, 2 < w ≤ 3

where, c is in dollars and w is in ounces.

5 0
3 years ago
How many different ways can you make 82 cents using current u.s. currency
andrew11 [14]
 <span>You can probably just work it out. 

You need non-negative integer solutions to p+5n+10d+25q = 82. 

If p = leftovers, then you simply need 5n + 10d + 25q ≤ 80. 


So this is the same as n + 2d + 5q ≤ 16 

So now you simply have to "crank out" the cases. 

Case q=0 [ n + 2d ≤ 16 ] 

Case (q=0,d=0) → n = 0 through 16 [17 possibilities] 
Case (q=0,d=1) → n = 0 through 14 [15 possibilities] 
... 
Case (q=0,d=7) → n = 0 through 2 [3 possibilities] 
Case (q=0,d=8) → n = 0 [1 possibility] 

Total from q=0 case: 1 + 3 + ... + 15 + 17 = 81 

Case q=1 [ n + 2d ≤ 11 ] 
Case (q=1,d=0) → n = 0 through 11 [12] 
Case (q=1,d=1) → n = 0 through 9 [10] 
... 
Case (q=1,d=5) → n = 0 through 1 [2] 

Total from q=1 case: 2 + 4 + ... + 10 + 12 = 42 

Case q=2 [ n + 2 ≤ 6 ] 
Case (q=2,d=0) → n = 0 through 6 [7] 
Case (q=2,d=1) → n = 0 through 4 [5] 
Case (q=2,d=2) → n = 0 through 2 [3] 
Case (q=2,d=3) → n = 0 [1] 

Total from case q=2: 1 + 3 + 5 + 7 = 16 

Case q=3 [ n + 2d ≤ 1 ] 
Here d must be 0, so there is only the case: 
Case (q=3,d=0) → n = 0 through 1 [2] 

So the case q=3 only has 2. 

Grand total: 2 + 16 + 42 + 81 = 141 </span>
3 0
3 years ago
(10-P) Help please, thanks.
Anuta_ua [19.1K]
The formula of linear equation is:
y1  -  y2 = m(x1  -  x2)
Where
x1 and x2: x coordinates(-1 and 3)
y1 and y2: y coordinates(-2 and 10)
m is the slope

We can then choose a point from the line to find the eqaution.

We need to first find the slope:
\frac{y1 - y2}{x1 - x2}
In this case:
\frac{ - 2 - 10}{ - 1 - 3}   \\ =  \frac{ - 12}{ - 4}  \\  = 3

In this case, as the y2 is given as 1,put (-1,-2) , and the slope(3 )into the eqaution :

y-(-2) = 3(x-(-1))
y+2 = 3(x+1)

Therefore
y + 2 = 3x + 1
is the answer.

Hope it helps!
7 0
3 years ago
Mel slides down waterslide A, and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in the air, and after 5 seco
iren [92.7K]
You have to add all the numbers then leave one and subtract it
8 0
3 years ago
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