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11 months ago

Write a cosine function for the graph.

Mathematics

1 answer:

Alik [6]11 months ago

6 0

The correct option A: y = -4 cos Ф/4, is the cosine function for the graph.

<h3>Define the term cosine function?</h3>

The ratio between the angle's adjacent leg and the hypotenuse when it is regarded as a leg of a right triangle is a trigonometric function for an acute angle.

One of the three fundamental trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.

Y=cos(x) has its greatest value when x = 2nπ, wherein n is an integer.
Y=cos(x) has a lowest value for x= π+2nπ , wherein n is an integer.

For the given graph,

cosine function: y = -4 cos Ф/4.

In which, -4 is the amplitude (maximum displacement from the x axis).

Negative sign shows, the displacement is taken along negative y-axis.

And, Ф/4 is the phase angle.

Thus, the cosine function for the graph is y = -4 cos Ф/4.

To know more about the cosine function, here

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Ann went to the store after school 5 days this week. Each day, she bought a sandwich and a comic book. She spent a total $50 of

Lubov Fominskaja [6]

In total 5 days, she has paid: 5 x $2 = $10 for the sandwiches

In total 5 days, she has paid: $50 - $10 = $40 for the comics

So, she paid: $40 / 5 = $8 for each comic

If helpful, brainliest please !

5 0

3 years ago

Which number property supports your answer

lys-0071 [83]

What is the question

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2 years ago

Factor 21x^3 y^2 – 3x^2y + 75x^4

malfutka [58]

The greatest common factor is 3x². The rest doesn't factor.
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3 years ago

A rose garden can be planted for $4000. The marginal cost of growing a rose is estimated to $0.30,

wariber [46]

Answer:

$C(x)=4000+0.3x$

$R(x)=1.75x$

$Profit= 1.45x-4000$

Step-by-step explanation:

We are given that A rose garden can be planted for $4000.

The marginal cost of growing a rose is estimated to $0.30,

Let x be the number of roses

So, Marginal cost of growing x roses = $0.3x$

Total cost = $4000+0.3x$

So, Cost function : $C(x)=4000+0.3x$ ---A

Now we are given that the total revenue from selling 500 roses is estimated to $875

So, Marginal revenue = $\frac{\text{Total revenue}}{\text{No. of roses}}$

Marginal revenue = $\frac{875}{500}$

Marginal revenue = $1.75$

Marginal revenue for x roses = $1.75x$

So, Revenue function = $R(x)=1.75x$ ----B

Profit = Revenue - Cost

$Profit= 1.75x-4000-0.3x$

$Profit= 1.45x-4000$ ---C

Now Plot A , B and C on Graph

$C(x)=4000+0.3x$ -- Green

$R(x)=1.75x$ -- Purple

$Profit= 1.45x-4000$ --- Black

Refer the attached graph

6 0

3 years ago

The top of an off shore oil rig has an elevation of 199.2 m and its base has an elevation of -9.6 m and observation deck is loca

matrenka [14]

Answer: 57.6m

Step-by-step explanation:

That's a lot of words that questions usually use to try to trip us up but not this time so lets pull all relevant information

199.2m= top of off shore oil rig

-9.6 m is the base of the rig

observation deck is 1/6 of the total height

helly pad is 22.8m above the observation deck

First lets try to find the total height of the rig. We can do this by adding the absolute value of the top and base of the oil rig. So 199.2 + 9.6 = 208.8m

So the total height is 208.8m now lets find the observation deck. We know the observaition is 1/6 of the total height which is 208.8m right so lets multiply. 1/6*208.8m= 34.8m

Now we know the observation deck is 34.8m high. Finally we can find the helly pad which is 22.8 m above the observation deck.

Since the observation deck is 34.8m and the helly pad is 22.8 above observation deck (34.8m) all we have to do is add so 22.8+34.8= 57.6m

So we know the total height is 208.8m

The observation deck is 34.8m

And the helly pad is 57.6m

7 0

3 years ago